*Curriculum Vitae*** –
Paul Glaister**

A. Qualifications and Experience

**Section
A – Qualifications and Experience**

**Present
Appointment: **Professor of Mathematics and Mathematics
Education, Department of Mathematics and Statistics.

**Nature
of Appointment: **Full-time, indefinite (appointed October 2013).

** **

**Education
and qualifications obtained:**

· PhD in Mathematics, University of Reading, 1988.

· Qualified Teacher Status (QTS), DfES (ref. no. 80/60468), 1984.

· MSc in the Numerical Solution of Differential Equations, University of Reading, 1982.

· Postgraduate Certificate in Education, University of Reading, 1981.

· BSc Mathematics, University of Reading, 1980.

**Previous
appointments:**

· Senior Lecturer in Mathematics, Department of Mathematics, University of Reading, October 1999-September 2013.

· Lecturer in Mathematics, Department of Mathematics, University of Reading, October 1988-September 1999.

· Research Fellow, Department of Mathematics, University of Reading, (sponsored by AWRE Aldermaston), October 1984-September 1988.

· Research Fellow, Department of Mathematics, University of Reading, (sponsored by British Gas), September 1984.

· Teacher of Mathematics, Maidstone Grammar School for Boys, Maidstone, September 1983-August 1984.

· Research Fellow, Department of Mathematics, University of Reading, (sponsored by RAE Bedford), October 1982-July 1983.

** **

**Section
B – Research and Scholarship**

(a) **Research
outputs.**

I work in three main areas:

(i) numerical analysis and computational fluid dynamics, including the development and analysis of numerical schemes for the solution of problems arising in applied mathematics;

(ii) mathematics and science education, at both school and university, and the school-university interface;

(iii) teaching and learning, primarily in higher education.

Much of the output of this work is contained in the list of publications below, most of which are internationally recognised, reach an international audience, and are refereed on an international scale. The impact of this work is, in part, indicated by the numbers of citations:

· work in the first (i) (91 publications) attracts citations on the Web of Science where these articles have a citation count of 558 and an h-index of 9;

· on Google Scholar I have 1216 citations, and an h-index of 12;

· on ResearchGate I have 770 citations, and an h-index of 11;

· on Mendeley I have 612 citations across 128 publications with 375 readers, 14,346 views (ScienceDirect), and an h-index of 9.

The impact of work in areas (ii) and (iii) is mainly through a national and international audience of mathematics and science education practitioners in schools, colleges and universities, using my work for enhancement and enrichment. I have had hundreds of requests for reprints of articles and for material made available through articles. I have also refereed similar numbers of articles by authors who have cited my work, or who are extending or applying it.

The numbers of publications in each area is as follows:

(i) computational fluid dynamics & numerical analysis: 85 publications;

(ii) mathematics and science education: 303 publications;

(iii) teaching and learning: 23 publications.

**a. Journal publications
(393):**

1.
**P. Glaister.** Post 16 Smith Review. *Mathematics Today*,
(in press).

2.
**P. Glaister and E. M. Glaister.** Mathematical argument,
language and proof - AS/A level 2017. *Mathematics in School,* (in press).

3.
**P. Glaister. **AS and A levels in Mathematics and Further
Mathematics are changing - are you ready?. *MSOR Connections,* 15, pp.
14-27, 2017.

4.
**P. Glaister** **and** **E. M. Glaister.** Promoting
problem solving through parabolas. *Mathematics in School*, 45, pp. 17-24,
2016.

5.
**P. Glaister.** Teaching standards. *Times Higher Education,
*May*, *2016*.*

6.
**P. Glaister** **and** **D. M. Hughes.** Core Maths for
Work, Study and Life. *Career Matters*, 4, pp. 34-35, 2016.

7.
**P. Glaister** **and** **E. M. Glaister.** University
teaching – recognition and reward. *MSOR Connections*, 14, pp. 20-27, 2016.

8.
**P. Glaister. **It's not only maths students who need a solid
grasp of statistics. Times Higher Education, 2016.

9.
**P. Glaister** **and** **E. M. Glaister.** A proof of
van Aubel’s theorem using orthogonal vectors. *International Journal of
Mathematical Education in Science and Technology*, 47, pp. 440-443, 2016.

10. **P.
Glaister.** Promoting Core Maths - background, evidence, plans, opportunities,
and challenges. *Journal of Core Maths*, pp. 1-13, 2015.

11. **P.
Glaister.** A van Aubel theorem revisited. *Mathematical Spectrum*, 48,
pp. 33-36, 2015.

12. **P. Glaister** **and**
**E. M. Glaister.** Howzat, … for a new take on run outs in cricket. *Mathematics
in School*, 44, pp. 37-41, 2015.

13. **P.
Glaister.** An angle on run outs in cricket. *Scottish Mathematical Council
Journal*, 44, pp. 75-79, 2015.

14. **P. Glaister** **and**
**E. M. Glaister.** Trisecting a *tri*-angle. *Mathematics in School*,
44, pp. 5-7, 2015.

15. **P. Glaister** **and**
**E. M. Glaister.** A new theorem of Pythagoras? *Mathematics in School*,
43, pp. 2-3, 2014.

16. **P. Glaister** **and**
**E. M. Glaister.** Alternating sums of binomial coefficients with unit
fraction arithmetic sequence coefficients. *International Journal of
Mathematical Education in Science and Technology*, 45, pp. 452-464, 2014.

17. **P. Glaister** **and**
**E. M. Glaister.** The revenge of the hare over the tortoise. *Mathematics
in School*, 43, pp. 10-12, 2014.

18. **P.
Glaister.** Using Geogebra to investigate new properties of a parabola. *Mathematics
and Computer Education*, 47, pp. 196-203, 2013.

19. **Ayres, K.
L., Wilcox, A. and P. Glaister.** Diversity in mathematics
assessment equals diversity in opinion? *MSOR Connections*, 13, pp. 15-23,
2013.

20. **P. Glaister** **and**
**E. M. Glaister.** Standards of university teaching. *MSOR Connections*,
13, pp. 61-65, 2013.

21. **P. Glaister** **and**
**E. M. Glaister.** The alternative Bernoulli trials. *Mathematics in
School*, 42, pp. 31-34, 2013.

22. **P. Glaister
and E. M. Glaister.** Christmas with the Bernoullis. *Mathematics in School*, 42,
pp. 2-9, 2013.

23. **P. Glaister** **and**
**E. M. Glaister.** Napier's candles. *Mathematical Spectrum*, 46, pp.
2-7, 2013.

24. **P. Glaister.** Lager
bubbles defy gravity
- a perfect way to demonstrate acceleration? *Physics Education*, 48, pp.
689-692, 2013.

25. **P. Glaister.** Tangents
and coincident normal to a parabola. *Mathematical Gazette*, 97, pp.
301-303, 2013.

26. **P. Glaister** **and**
**E. M. Glaister.** Mismatchmaking. *Mathematics in School*, 42, pp.
13-15, 2013.

27. **P. Glaister.** Mathematicians
prefer cake to pi. *Mathematical Spectrum*, 45, pp. 103-105, 2013.

28. **P. Glaister** **and**
**E. M. Glaister.** Pascal
and Fermat dice with probability. *Mathematics in School*, 41,
pp. 28-29, 2012.

29. **P. Glaister.** Further
examples on sliding down curves. *Mathematical Gazette*, 96, pp. 519-523,
2012.

30. **P. Glaister.** Intersection
of tangents to ellipses and hyperbolae. *Scottish Mathematical Council
Journal*, 42, pp. 86-88, 2012.

31. **P. Glaister**, **E. M.
Glaister** **and** **K. L. Ayres.** Engagement ‘with’ or ‘by’ students:
two sides of the same coin. *MSOR Connections*, 12, pp. 22-27, 2012.

32. **K. L. Ayres** **and**
**P. Glaister.** Setting
the right hurdle: progression to the final year of an MMath programme. *MSOR
Connections*, 12, pp. 31-33, 2012.

33. **K. L. Ayres**, **P. Glaister**
**and** **C. J. Smith.** The benefits of an undergraduate teaching and learning
placement scheme in mathematics and statistics. *MSOR Connections*,
12, pp. 2-5, 2012.

34. **P. Glaister.** A comparison of upwind
difference schemes for compressible flows of ideal and non-ideal gases in a
duct. *Mathematica Aeterna*, 1 (7), pp. 425-448, 2011.

35. **P. Glaister.** A power slide. *Mathematical
Spectrum*, 42 (2), pp. 87-90, 2010.

36. **P. Glaister.** Conservative upwind
difference schemes for the Euler equations for real gas flows in a duct. *Computers
& Mathematics with Applications*, 57 (9), pp. 1432-1437, 2009.

37. **P. Glaister.** **and**
**E. M. Glaister.** HMS
- Harmonic Motion by Shadows. IMA Journal of *Teaching Mathematics and its
Applications*, 28 (1), pp. 10-15, 2009.

38. **P. Glaister.** Diagonalization and
Jordan Normal Form – motivation through Maple. *International Journal of
Mathematical Education in Science and Technology*, 40 (5), pp. 705-712,
2009.

39. **P. Glaister.** I'm a
transcendental...get me out of here. *Mathematics in School*, 38,
pp. 13-15, 2009.

40. **P. Glaister.** **and M.
A. Glaister. **Pythagorean
triplets on their paper round. *Mathematics in School*, 38, pp. 10-11,
2009.

41. **P. Glaister.** Conservative Upwind
Difference Schemes for Compressible Flows in a Duct. *Computers
& Mathematics with Applications*, 56 (7), pp. 1787-1796, 2008.

42. **P. Glaister** **and**
**E. M. Glaister.** 'A'
level mathematics and the 3R's - recruitment, retention and reward. *MSOR
Connections*, 8 (2), pp. 13-16, 2008.

43. **P. Glaister** **and**
**N. Lord.** A
Generalised Algebraic Identity Bites Pythagoras. *Mathematical Gazette*,
92, pp. 82-83, 2008.

44. **P. Glaister.** Investigating a
Sequence of Power Functions. *Mathematics and Computer Education*, 42,
pp. 34-43, 2008.

45. **P. Glaister.** On integer solutions of
an arctan problem. *International Journal of Mathematical Education in Science and
Technology*, 39 (6), pp. 829-833, 2008.

46. **P. Glaister.** One day cricket
triangular tournaments - do matches count? *Mathematical Spectrum*, 40,
pp. 109-115, 2008.

47. **P. Glaister.** Solution of systems of
differential equations with skew-symmetric, orthogonal matrices. *International
Journal of Mathematical Education in Science and Technology*, 39, pp.
410-418, 2008.

48. **P. Glaister** **and**
**E. M. Glaister.** Two
Problems Thrown Up by Projectiles. *Scottish Mathematical Council
Journal*, 37, pp. 68-70, 2008.

49. **P. Glaister.** An Analysis and
Comparison of Conservative Upwind Difference Schemes for Ideal and Non-Ideal
Gases. *Computers & Mathematics with Applications*, 53 (12),
pp. 1921-1932, 2007.

50. **P. Glaister.** Bring Back Logs! *Mathematics
in School*, 36, p. 35, 2007.

51. **P. Glaister** **and**
**A. E. Glaister.** Conkering
Convexity and Concavity. *Mathematics Today*, 43, p. 217, 2007.

52. **P. Glaister** **and**
**M. A. Glaister.** Difference
of Two Circles. *Mathematics in School*, 36, p. 17, 2007.

53. **P. Glaister.** Exponential Curve
Fitting with Least Squares. *International Journal of Mathematical
Education in Science and Technology*, 38 (3), pp. 422-427, 2007.

54. **P. Glaister** **and**
**E. M. Glaister.** Forgetting
to integrate. *Mathematical Spectrum*, 39, p. 126, 2007.

55. **P. Glaister** **and**
**A. E. Glaister.** Golden
Balls. *Mathematics in School*, 36, p. 18, 2007.

56. **P. Glaister.** How Important is a
Cricket Test Match? *International Journal of Mathematical Education in Science and
Technology*, 38 (1), pp. 115-123, 2007.

57. **P. Glaister.** Intersecting Chords
Theorem 30 years on. *Mathematics in School*, 36 (1), p. 22, 2007.

58. **P. Glaister** **and**
**A. E. Glaister.** Maths
is just child's play in disguise. *Mathematics in School*, 36,
pp. 8-9, 2007.

59. **P. Glaister.** Prediction of Shallow
Water Flows over Dry Beds. *Computers & Mathematics with
Applications*, 54 (2), pp. 296-309, 2007.

60. **P. Glaister,
E. M. Glaister, A. E. Glaister and M. A. Glaister.** Spidergraph. IMA
Journal of *Teaching Mathematics and its Applications*, 26 (4), pp.
212-221, 2007.

61. **P. Glaister** **and**
**E. M. Glaister.** What
a Difference a Pi Can Make. *Mathematics in School*, 36, p. 19, 2007.

62. **P. Glaister** **and**
**E. M. Glaister.** When
Maths really is Rocket Science. IMA Journal of *Teaching Mathematics and its
Applications*, 26 (1), pp. 51-54, 2007.

63. **P. Glaister** **and**
**E. M. Glaister.** Generalising
Alexander’s Angles. *Mathematical Gazette*, 90, pp. 99-103, 2006.

64. **P. Glaister.** Generating sums of
series using simple differential operators. *International Journal of
Mathematical Education in Science and Technology*, 37, pp. 341-349, 2006.

65. **P. Glaister** **and**
**M. A. Glaister.** Geometry
on holiday. *Mathematics in School*, 35, p. 10, 2006.

66. **P. Glaister** **and**
**E. M. Glaister.** Handling
Data Projectors. *Mathematics in School*, 35, pp. 30-31, 2006.

67. **P. Glaister.** How interesting is a
cricket match? IMA Journal of *Teaching Mathematics and its Applications*,
25, pp. 149-160, 2006.

68. **P. Glaister** **and**
**E. M. Glaister.** Introducing
Conics without Eccentricity. *International Journal of Mathematical
Education in Science and Technology*, 37, pp. 235-245, 2006.

69. **P. Glaister.** Maths – 100% proof? *Mathematics
in School*, 35, pp. 28-30, 2006.

70. **P. Glaister.** Pythagoras – couched in
mystery? *Mathematical Spectrum*, 38, pp. 64-67, 2006.

71. **P. Glaister.** Revealing Numerical
Solutions of a Differential Equation. *Mathematics and Computer
Education*, 40, pp. 216-220, 2006.

72. **P. Glaister.** Uncovering Pythagorean
Triples. IMA Journal of *Teaching Mathematics and its Applications*,
25, pp. 53-57, 2006.

73. **P. Glaister.** A Variation on
Pythagoras’ Identity. *Mathematical Gazette*, 90, p. 96, 2006.

74. **P. Glaister** **and**
**E. M. Glaister.** Wimbledon
2010 – a fifth set cliff-hanger in the Murray vs Federer final? *Teaching
Statistics*, 28, pp. 75-77, 2006.

75. **P. Glaister.** A comparison of
conservative upwind difference schemes for the Euler equations. *Computers
& Mathematics with Applications*, 51 (6-7), pp. 879-888, 2006.

76. **P. Glaister.** Conservative upwind
difference schemes for open channel flows - Theory and applications. *Computers
& Mathematics with Applications*, 50 (1-2), pp. 57-72, 2005.

77. **P. Glaister.** Equicentric Patterns. *Mathematical
Spectrum*, 38, pp. 12-16, 2005.

78. **P. Glaister** **and**
**M. A. Glaister.** Fraction
fireworks. *Mathematics in School*, 34. 14 -15, 2005.

79. **P. Glaister.** Further generalized
integrals involving xx and series involving NN. *Mathematics and Computer
Education*, 39, pp. 25-28, 2005.

80. **B. V.
Wells, M. J. Baines and P. Glaister.** Generation of arbitrary
Lagrangian-Eulerian (ALE) velocities, based on monitor functions, for the
solution of compressible fluid equations. *International Journal For
Numerical Methods In Fluids*, 47 (10-11), pp. 1375-1381, 2005.

81. **D. A.
Bailey, P. Glaister. and P. K. Sweby.** A Ghost Fluid, Moving Finite Volume plus
Remap Method for Compressible Euler Flow. *International Journal For
Numerical Methods In Fluids,* 47, pp. 833-840, 2005.

82. **P. Glaister.** Robust linear
regression using Theil's method. *Journal Of Chemical Education*,
82 (10), pp. 1472-1473, 2005.

83. **P. Glaister.** Spouting confidently. *School
Science Review*, 87, p. 12, 2005.

84. **P. Glaister.** Su Doku. *Mathematics
in School*, 35, pp. 2-3, 2005.

85. **P. Glaister.** When Tweedledum and
Tweedledee met Mr Fibonacci. *Mathematical Spectrum*, 37, pp. 103-108,
2005.

86. **P. Glaister.** A comparison of
best-fit lines for data with outliers. *International Journal of
Mathematical Education in Science and Technology*, 36, pp. 110-117, 2005.

87. **P. Glaister.** A comparison of
conservative upwind difference schemes for the shallow water equations. *Computers
& Mathematics with Applications*, 49 (11-12), pp. 1773-1786, 2005.

88. **P. Glaister.** An obtuse triangle. *Mathematics
Today*, 40, p. 75, 2005.

89. **P. Glaister.** The use of orthogonal
distances in generating the total least squares estimate. *Mathematics
and Computer Education*, 39, pp. 21-30, 2005.

90. **P. Glaister.** Conservative upwind
difference schemes for compressible flows of a real gas. *Computers
& Mathematics with Applications*, 48 (3-4), pp. 469-480, 2004.

91. **P. Glaister.** Cylinders, cones and
centres of gravity. *Mathematical Gazette*, 88 (511), pp. 90-91, 2004.

92. **P. Glaister.** Error analysis of
quadrature rules. *International Journal of Mathematical Education in Science and
Technology*, 35 (3), pp. 424-431, 2004.

93. **P. Glaister.** Evaluating a class of
series using Taylor's theorem. *International Journal of Mathematical
Education in Science and Technology*, 35 (2), pp. 286-296, 2004.

94. **P. Glaister** **and**
**E. M. Glaister.** FAIM
- Formative Assessment In Mathematics. *International Journal for
Mathematics Teaching and learning*, pp. 1-4, 2004.

95. **P. Glaister
and E. M. Glaister.** Fibonacci,
Freddie and Fermat the frog. *Mathematics in School*, 33 (3), pp.
31-33, 2004.

96. **P. Glaister.** From Gauss to
Pythagoras - A complex series of voyages of discovery. *Mathematical
Spectrum*, 36 (3), pp. 62-63, 2004.

97. **P. Glaister** **and**
**E. M. Glaister.** Line-fitting
with outliers. *Teaching Statistics*, 26 (3), pp. 78-80, 2004.

98. **P. Glaister.** Maths for the
wastepaper bin. *Mathematical Spectrum*, 37 (1), pp. 4-9, 2004.

99. **P. Glaister.** Perfect Cuboids? *Mathematics
Today*, 40, p. 179, 2004.

100.
**P. Glaister.** Pythagoras and Golden Bisection. *Mathematics
in School*, 33, p. 8, 2004.

101.
**P. Glaister.** Pythagorean triples from infinite series. *Mathematics
and Computer Education*, 38 (3), pp. 267-270, 2004.

102. **P. Glaister.** A Series of Intrigues
or Just Some Intriguing Series? *Mathematical Spectrum*, 36 (2), pp.
32-33, 2004.

103. **P. Glaister
and E. M. Glaister.** Using
best-fit lines for science data with outliers. *School Science Review*,
85 (313), pp. 25-28, 2004.

104. **P. Glaister.** A comparison of the
method of least squares and the method of averages. *International
Journal of Mathematical Education in Science and Technology*, 35, pp.
101-111, 2004.

105. **P. Glaister** **and**
**E. M. Glaister.** The
staggering power of maths. *Mathematics in School*, 32, pp. 41-43,
2004.

106. **P. Glaister.** Conservative Upwind
Difference Schemes for the Euler Equations. *Computers & Mathematics
with Applications*, 45, pp. 1673-1682, 2003.

107. **P. Glaister.** Conservative Upwind
Differencing for Isentropic Flows. *Mathematical & Computer
Modelling*, 37, pp. 993-1003, 2003.

108. **P. Glaister.** Cutting Lawn Time to
Zero. *Mathematics in School*, 32, pp. 14-15, 2003.

109. **P. Glaister.** Factorial Sums. *International
Journal of Mathematical Education in Science and Technology*, 34, pp.
250-257, 2003.

110. **P. Glaister.** Integration Simplified. *Mathematical
Spectrum*, 35, pp. 60-61, 2003.

111. **P. Glaister.** Logarithmic Series. *International
Journal of Mathematical Education in Science and Technology*, 34, pp.
105-111, 2003.

112. **P. Glaister.** Maths to Quench the
Thirst. IMA Journal of *Teaching Mathematics and its Applications*,
22, pp. 45-52, 2003.

113. **P. Glaister.** The Method of Averages
versus the Method of Least Squares. *School Science Review*, 84,
pp. 14-15, 2003.

114. **P.Glaister.** An Observation on the
Golden Euro. Math. Gaz, 87, p. 112, 2003.

115. **P.Glaister.** Series Evaluations with
Improper Integrals. *Mathematics and Computer Education*, 37, pp. 221-224, 2003.

116. **P.Glaister.** Teaching Maths to
Chemists - an outsider comments. *Education in Chemistry*, 40,
p. 11, 2003.

117. **P.Glaister.** The Ultimate Lawn
Cutting Device. IMA Journal of *Teaching Mathematics and its Applications*,
22, pp. 3-5, 2003.

118. **P.Glaister.** 2b or not to be - that
other classic. *Mathematical Spectrum*, 35, pp. 3-5, 2002.

119. **P.Glaister.** A Generalized Class of
Series Evaluated. *Mathematics and Computer Education*, 36, pp. 179-186, 2002.

120. **P.Glaister.** Linear Regression in
Chemistry. *Education in Chemistry*, 39, p. 39, 2002.

121. **P.Glaister.** Maths Woodwork it out. IMA
Journal of *Teaching Mathematics and its Applications*, 20, pp. 139-144,
2002.

122. **P.Glaister.** Not a Slice but a Cube
of. *Mathematics Today*, 38, p. 45, 2002.

123. **P. Glaister.** Squaring up to
Factorials. *Mathematical Spectrum*, 34, pp. 53-55, 2002.

124. **P. Glaister.** Taylor's Theorem and
Integral Expansions. *International Journal of Mathematical Education in Science and
Technology*, 33, pp. 910-926, 2002.

125. **P. Glaister.** To Infinity and Beyond
- further mathematical journeys. *Mathematical Spectrum*, 34,
pp. 26-29, 2002.

126. **P. Glaister.** Integrals, infinite
series and closed forms. *International Journal of Mathematical Education in Science and
Technology*, 32 (6), pp. 765-774, 2001.

127. **P. Glaister.** An extension of the
method of least squares. *International Journal of Mathematical Education in Science and
Technology*, 32 (4), pp. 595-602, 2001.

128. **P. Glaister.** Least squares
revisited. *Mathematical Gazette*, 85, pp. 104-107, 2001.

129. **P. Glaister.** Evaluating sums of
infinite series using integrals. *Mathematics and Computer
Education*, 35 (3), pp. 201-208, 2001.

130. **P. Glaister.** A tale of two series –
a Dickens of an integral. *Mathematical Spectrum*, 33, pp. 25-27, 2001.

131. **P. Glaister.** **and**
**E. M. Glaister.** The
role of applications in Mathematics Teaching and the enhancement of mathematics
learning through project work. *International Journal for Mathematics
Teaching and learning*, pp. 1-18, 2000.

132. **P. Glaister.** Generalised elliptic
integrals with an application. *International Journal of Mathematical
Education in Science and Technology*, 31 (4), pp. 601-612, 2000.

133. **P. Glaister.** The golden tan of
mathematics. *Mathematical Gazette*, 84, p. 272, 2000.

134. **P. Glaister.** An algebraic fraction –
derivatives and zeros. *International Journal of Mathematical Education in Science and
Technology*, 31 (3), pp. 453-464, 2000.

135. **P. Glaister.** Conservative upwind
difference schemes for the shallow water equations. *Computers
& Mathematics with Applications*, 39 (5-6), pp. 189-199, 2000.

136. **P. Glaister.** SHM and projections. *Mathematical
Gazette*, 84, pp. 116-119, 2000.

137. **P. Glaister.** An invariance property
of regular polygons for a problem in probability. *International Journal of
Mathematical Education in Science and Technology*, 31 (2), pp. 271-282,
2000.

138. **P. Glaister.** Mathematician versus
machine. *Mathematical Gazette*, 84, pp. 105-107, 2000.

139. **P. Glaister.** Shadowing a pendulum. *School
Science Review*, 80 (293), pp. 124-125, 1999.

140. **P. Glaister.** The golden ratio by
origami. *Mathematical Spectrum*, 31, pp. 52-53, 1999.

141. **P. Glaister.** Calculus unequalled. *Mathematical
Spectrum*, 31 (2), pp. 38-39, 1999.

142. **P. Glaister.** Riemann solvers with
primitive parameter vectors for two-dimensional compressible flows of a real
gas. *Computers & Mathematics with Applications*, 37 (2), pp.
75-92, 1999.

143. **P. Glaister.** Buffon's needle problem
with a twist. IMA Journal of *Teaching Mathematics and its Applications*,
18 (2), pp. 85-88, 1999.

144. **P. Glaister.** Monotonicity and
inequalities. *Mathematics and Computer Education*, 33, pp. 46-51, 1999.

145. **P. Glaister.** Physics and its fans. *Physics
Education*, 34, p. 340, 1999.

146. **P. Glaister.** Polygon tossing: an
isoperimetric result. *Mathematics and Computer Education*, 33, pp. 251-256, 1999.

147. **P. Glaister.** Squaring the circle -
statistically speaking. *Teaching Statistics*, 21 (3), pp. 67-69, 1999.

148. **P. Glaister.** Stationary and
equilibrium points: critical connection. *International Journal of
Mathematical Education in Science and Technology*, 30 (2), pp. 294-306,
1999.

149. **P. Glaister.** Stationary and
inflexion points: an interesting example from mechanics. *International
Journal of Mathematical Education in Science and Technology*, 30 (5), pp.
768-782, 1999.

150. **P. Glaister.** Throwing elliptical
shields on floorboards. *Mathematical Spectrum*, 32, pp. 10-13, 1999.

151. **P. Glaister.** Titration curves: a
simplified approach. *Education in Chemistry*, pp. 51-52, 1999.

152. **P. Glaister.** A unified titration
formula. *Jourmal of Chemical Education*, 76 (1), p. 132, 1999.

153. **P. Glaister.** An analysis of
averaging procedures in a Riemann solver for the two-dimensional Euler
equations. *Computers & Mathematics with Applications*, 35 (8), pp.
63-77, 1998.

154. **P. Glaister.** Coin tossing. *Mathematics
Teacher*, p. 364, 1998.

155. **P. Glaister.** Green’s Identity -
analogy and application. *International Journal of Mathematical Education in Science and
Technology*, 29 (3), pp. 444-445, 1998.

156. **P. Glaister.** Mathematical skyers. *Mathematical
Gazette*, 82 (495), pp. 470-472, 1998.

157. **P. Glaister.** Mathematician
sympathises. *Education in Chemistry*, p. 11, 1998.

158. **P. Glaister.** Titration formulae: a
universal approach. *University Chemistry Education*, pp. 63-64, 1998.

159. **P. Glaister.** An analysis of a Jacobi
iteration. *International Journal of Mathematical Education in Science and
Technology*, 29 (2), pp. 195-214, 1998.

160. **P. Glaister.** pH curves – the
essential formulae. *School Science Review*, pp. 95-97, 1998.

161. **P. Glaister.** A saddle point
connection. *Mathematics Today*, pp. 125-126, 1998.

162. **P. Glaister.** A challenging balance. *Journal
Of Chemical Education*, 74 (11), p. 1368, 1997.

163. **P. Glaister.** Head turning mathematics. IMA
Journal of *Teaching Mathematics and its Applications*, 16 (2), pp. 64-68,
1997.

164. **P. Glaister.** The efficient
prediction of shallow water flows. Part II: application. *Computers
& Mathematics with Applications*, 33 (9), pp. 115-141, 1997.

165. **P. Glaister.** An analysis of
averaging procedures in a Riemann solver for compressible flows of a real gas. *Computers
& Mathematics with Applications*, 33 (3), pp. 105-119, 1997.

166. **P. Glaister.** Spirals galore. *Mathematical
Spectrum*, 29 (2), pp. 30-32, 1997.

167. **P. Glaister.** Constant coefficient
and Euler-Cauchy differential equations - a unified approach. *International
Journal of Mathematical Education in Science and Technology*, 28 (1), pp.
137-141, 1997.

168. **P. Glaister.** Mathematics 16-19 – a
view from the boundary. IMA Journal of *Teaching Mathematics and its Applications*,
16 (4), pp. 148-150, 1997.

169. **P. Glaister.** Playing cards with
Buffon. *Mathematical Spectrum*, 30 (1), pp. 8-9, 1997.

170. **P. Glaister.** Recollections of an
amusement arcade. *International Journal of Mathematical Education in Science and
Technology*, 28 (3), pp. 451-462, 1997.

171. **P. Glaister.** Titration curve
analysis: some observations. *Journal Of Chemical Education*, 74 (7),
p. 744, 1997.

172. **P. Glaister.** Transformations of
improper integrals. *Mathematical Gazette*, pp. 93-94, 1997.

173. **P. Glaister.** Two Fibonacci sums: a
variation. *Mathematical Gazette*, pp. 85-88, 1997.

174. **P. Glaister.** Two comments on bond
angles. *Journal Of Chemical Education*, 74 (9), p. 1086, 1997.

175. **P. Glaister.** Variational calculus
and non-linear mechanics: improper integrals and their evaluation. *International
Journal of Mathematical Education in Science and Technology*, 28 (5), pp.
763-771, 1997.

176. **P. Glaister.** A complex balance? *School
Science Review*, p. 103, 1997.

177. **P. Glaister.** An infinity of points
of inflexion. *Mathematics in School*, p. 15, 1997.

178. **P. Glaister.** Can equations be
balanced in more than one way? Guidelines for determining a chemical balance. *School
Science Review*, 77, pp. 69-70, 1996.

179. **P. Glaister.** Centres of gravity and
volumes of revolution: a filling problem. *International Journal of
Mathematical Education in Science and Technology*, 27 (2), pp. 299-309,
1996.

180. **P. Glaister.** Determining sums
recursively. *Mathematical Spectrum*, 28 (3), pp. 63-64, 1996.

181. **P. Glaister.** Differentiation under
the double integral sign. *International Journal of Mathematical Education in Science and
Technology*, 27 (5), pp. 760-763, 1996.

182. **P. Glaister.** Dynamical earrings:
24-carat mathematics. IMA Journal of *Teaching Mathematics and its Applications*,
15 (1), pp. 12-15, 1996.

183. **P. Glaister.** Eccentricity revisited. *Mathematics
in School*, 25 (2), 1996.

184. **P. Glaister.** Fibonacci numbers:
finite and infinite series. *International Journal of Mathematical
Education in Science and Technology*, 27 (3), pp. 429-441, 1996.

185. **P. Glaister.** Generalization of an
investigation. *Mathematics Teacher*, 89 (1), p. 56, 1996.

186. **P. Glaister.** Golden earrings. *Mathematical
Gazette*, 80, pp. 224-225, 1996.

187. **P. Glaister.** How to avoid getting
the needle with Buffon. *Theta*, 10 (2), pp. 3-9, 1996.

188. **P. Glaister.** On the determination of
a period of oscillation. *Physics Education*, 31 (1), pp. 10-11, 1996.

189. **P. Glaister.** Reaction rates and
surface area. *Education in Chemistry*, 33 (1), p. 67, 1996.

190. **P. Glaister.** Second order
differential equations: a unified approach. *Mathematical Gazette*, 80,
pp. 392-394, 1996.

191. **P. Glaister.** Stable beer -
mathematically speaking. *Mathematics Today*, 32, pp. 103-104, 1996.

192. **P. Glaister.** Surface area:volume
ratios in chemistry. *School Science Review*, 77, p. 116, 1996.

193. **P. Glaister.** Trisection and vectors. *Mathematics
in School*, 25, p. 48, 1996.

194. **P. Glaister.** An application of a
Fermat-Pell Equation. *Mathematics and Computer Education*, 30 (2), pp. 198-204,
1996.

195. **P. Glaister.** The efficiency of
different averaging procedures in an algorithm for the Euler equations. *Computers
& Mathematics with Applications*, 31 (2), pp. 67-71, 1996.

196. **P. Glaister.** An efficient Riemann
solver for open channel flows. *Communications in Numerical Methods in
Engineering*, 12 (1), pp. 13-20, 1996.

197. **P. Glaister.** The efficient
prediction of shallow water flows, part I: theory. *Computers
& Mathematics with Applications*, 32 (12), pp. 129-143, 1996.

198. **P. Glaister.** A further example on
the convergence of Taylor series. *Mathematics and Computer
Education*, 30 (1), pp. 33-41, 1996.

199. **P. Glaister.** A generalized Buffon
problem. *Mathematics and Computer Education*, 30 (3), pp. 248-254,
1996.

200. **P. Glaister.** An integration by parts
principle for a class of integrals. *Mathematics and Computer
Education*, 30 (3), pp. 298-299, 1996.

201. **P. Glaister.** The relationship
between the direct and weak formulations of a linearised Riemann solver for
systems of conservation laws. *Computers & Mathematics with
Applications*, 31 (7), pp. 65-73, 1996.

202. **P. Glaister.** A result for a vessel
filling problem. *Mathematical Gazette*, 80, pp. 407-411, 1996.

203. **P. Glaister.** Fibonacci power series. *Mathematical
Gazette*, 79, pp. 521-525, 1995.

204. **P. Glaister.** Bump-to-bump. *Mathematical
Gazette*, 79, p. 93, 1995.

205. **P. Glaister.** Extensions to polygonal
spirals. *Mathematics Teacher*, 88, pp. 507-508, 1995.

206. **P. Glaister.** Investigating a problem
in vertical motion. *Primus*, 5 (2), pp. 147-154, 1995.

207. **P. Glaister.** Minimisation: triangle
and tetrahedron equiangular properties. *International Journal of
Mathematical Education in Science and Technology*, 26 (6), pp. 907-911,
1995.

208. **P. Glaister.** Needle alternatives. *Mathematics
Teacher*, 88, pp. 720-722, 1995.

209. **P. Glaister.** Prediction of steady,
supercritical, free-surface flow. *International Journal of
Engineering Science*, 33 (6), pp. 845-854, 1995.

210. **P. Glaister.** Principal values and numerical
iteration. *International Journal of Mathematical Education in Science and
Technology*, 26 (5), pp. 772-775, 1995.

211. **P. Glaister.** Shock capturing for
supercritical, free-surface flows in curvilinear channel geometries. *Computers
& Mathematics with Applications*, 29 (1), pp. 27-37, 1995.

212. **P. Glaister.** Some observations on
chemical equilibria. *School Science Review*, 76, pp. 72-75, 1995.

213. **P. Glaister.** Tetrahedra and Fermat
points - an existence assumption. *Mathematical Gazette*, 79,
p. 122, 1995.

214. **P. Glaister.** An analysis of
arithmetic averaging in a Riemann solver for the one-dimensional Euler
equations. *Computers & Mathematics with Applications*, 30 (7), pp.
103-112, 1995.

215. **P. Glaister.** A chemical balancing
act. IMA Journal of *Teaching Mathematics and its Applications*,
14 (4), pp. 178-182, 1995.

216. **P. Glaister.** A comparison of the
computational efficiency of three averaging procedures in a numerical scheme
for the shallow water equations. *Computers & Mathematics
with Applications*, 30 (7), pp. 31-35, 1995.

217. **P. Glaister.** A comparison of the
different extensions of a weak formulation of an approximate Riemann solver for
steady, supercritical flows and their relationship to existing schemes. *Computers
& Mathematics with Applications*, 29 (12), pp. 27-38, 1995.

218. **P. Glaister.** An efficient shock
capturing scheme for two-dimensional, open channel, unsteady flows in a
generalised coordinate system. *Computers & Mathematics with
Applications*, 29 (1), pp. 83-88, 1995.

219. **P. Glaister.** An extension of Toumi's
method and its application to the two-dimensional, unsteady, shallow water
equations. *Mathematical and Computer Modelling*, 21 (3), pp. 93-97,
1995.

220. **P. Glaister.** A mathematician’s view. *Chemistry
in Britain*, 31, p. 610, 1995.

221. **P. Glaister.** A numerical scheme for
steady, supercritical flows with boundary fitted coordinates. *International
Journal of Numerical Methods for Heat and Fluid Flow*, 5 (10), pp. 923-931,
1995.

222. **P. Glaister.** The orientation of the
floating cube: the results. *School Science Review*, 76, pp. 87-89,
1995

223. **P. Glaister.** A proof of the
hypothesis for the preferred orientation of a floating object. *School
Science Review*, 76, pp. 82-83, 1995.

224. **P. Glaister.** A tale of differences,
diagonalisation and diophantine equations. *Theta*, 9, pp. 3-12, 1995.

225. **P. Glaister.** A weak formulation of
Roe's approximate Riemann solver applied to the St. Venant equations. *Journal
of Computational Physics*, 116 (1), pp. 189-191, 1995.

226. **P. Glaister.** A weak formulation of
Roe's scheme for two-dimensional, unsteady, compressible flows and steady,
supersonic flows. *Computers & Mathematics with Applications*, 30 (8), pp.
85-93, 1995.

227. **P. Glaister.** An analysis of
arithmetic averaging in approximate Riemann solvers with an application to
steady, supercritical flows. *Computers & Mathematics with
Applications*, 28 (8), pp. 77-85, 1994.

228. **P. Glaister.** An efficient numerical
method for compressible flows of a real gas using arithmetic averaging. *Computers
& Mathematics with Applications*, 28 (7), pp. 97-113, 1994.

229. **P. Glaister.** An efficient shock
capturing scheme for the pseudo-unsteady equations representing steady inviscid
flow. *Computers & Mathematics with Applications*, 28 (7), pp.
71-76, 1994.

230. **P. Glaister.** An efficient flux
difference splitting algorithm for unsteady duct flows of a real gas. *Applied
Numerical Mathematics*, 15 (1), pp. 27-52, 1994.

231. **P. Glaister.** An efficient numerical
scheme for the Euler equations. *Computers & Mathematics with
Applications*, 27 (8), pp. 91-100, 1994

232. **P. Glaister.** A weak formulation of
Roe's approximate Riemann Solver applied to 'Barotropic' flows. *Computers
& Mathematics with Applications*, 27 (8), pp. 87-90, 1994.

233. **P. Glaister.** Multiplicative
Fibonacci sequences. *Mathematical Gazette*, 78, pp. 68-69, 1994.

234. **P. Glaister.** Spot the difference. *Mathematical
Gazette*, 78, pp. 68-69, 1994.

235. **P. Glaister.** A result in modular
arithmetic with an application. *Mathematical Gazette*, 78, pp. 66-67,
1994.

236. **P. Glaister.** An efficient shock
capturing algorithm for compressible flows in a duct of variable cross-section. *International
Journal of Numerical Methods for Fluids*, 18 (1), pp. 107-122, 1994.

237. **P. Glaister.** An efficient numerical
scheme for the two-dimensional shallow water equations using arithmetic
averaging. *Computers & Mathematics with Applications*, 27 (1), pp.
97-117, 1994.

238. **P. Glaister.** Card shuffling for beginners. *Mathematical
Spectrum*, 27 (1), pp. 5-7, 1994.

239. **P. Glaister.** Cylinders and cones:
maximum and minimum problems. *Theta*, 8, pp. 17-23, 1994.

240. **P. Glaister.** Efficient shock
capturing for isentropic flows using arithmetic averaging. *International
Journal of Numerical Methods for Heat and Fluid Flow*, 4 (5), pp. 453-463,
1994.

241. **P. Glaister.** Extending to polygons. *Mathematics
Teacher*, 87, p. 140, 1994.

242. **P. Glaister.** Geometric progressions:
prime and perfect numbers. *Mathematics in School*, 23, p. 48, 1994.

243. **P. Glaister.** Linear and non-linear
oscillators. *Mathematical Spectrum*, 27 (2), pp. 51-53, 1994.

244. **P. Glaister.** On rank,
underdetermined systems and consistency. *International Journal of
Mathematical Education in Science and Technology*, 25 (1), pp. 95-101, 1994.

245. **P. Glaister.** On the efficient
solution of the steady, two-dimensional shallow water equations. *International
Journal of Computer Mathematics*, 54 (1-2), pp. 97-108, 1994.

246. **P. Glaister.** Optimisation and
projectiles. *International Journal of Mathematical Education in Science and
Technology*, 25, pp. 614-622, 1994.

247. **P. Glaister.** Polygon divisions. *Mathematics
in School*, 23, p. 29, 1994.

248. **P. Glaister.** Sine waves and slinky
springs. *Physics Education*, 29, p. 119, 1994.

249. **P. Glaister.** Titrations and turning
the corner. *School Science Review*, 76, pp. 67-68, 1994.

250. **P. Glaister.** Two reasons for opening
a bottle of wine. IMA Journal of *Teaching Mathematics and its Applications*,
13 (4), pp. 174-178, 1994.

251. **P. Glaister.** A comparison of the
floating hypotheses for a cylindrical cork. *School Science Review*, 76,
pp. 84-87, 1994.

252. **P. Glaister.** A 'corner' function and
its application. *Theta*, 8, pp. 31-35, 1994.

253. **P. Glaister.** A general card
shuffling algorithm. *Mathematics and Computer Education*, 28, pp. 283-289, 1994.

254. **P. Glaister.** A titration model: an
analysis and solution. *International Journal of Mathematical Education in Science and
Technology*, 25 (3), pp. 399-406, 1994.

255. **P. Glaister.** Amplitude dependence of
the period for non-linear oscillators. *Physics Education*, 28 (6),
pp. 344-345, 1993.

256. **P. Glaister.** Tetrahedra Fermat
points and centroids. *Mathematical Gazette*, 77, pp. 360-361, 1993.

257. **P. Glaister.** An approximate Riemann
Solver for the H-system in generalized coordinates. *Computers
& Mathematics with Applications*, 26 (9), pp. 67-73, 1993.

258. **P. Glaister.** Flux difference
splitting for hyperbolic systems of conservation laws with source terms. *Computers
& Mathematics with Applications*, 26 (7), pp. 79-96, 1993.

259. **P. Glaister.** Calculating the
tetrahedral bond angle using spherical polars and the dot product. *Journal
Of Chemical Education*, 70 (7), pp. 546-547, 1993.

260. **P. Glaister.** Flux difference
splitting for the Euler equations in general orthogonal curvilinear coordinate
system with an application to axially symmetric flows. *Computers
& Mathematics with Applications*, 26 (1), pp. 75-89, 1993.

261. **P. Glaister.** A numerical scheme for
two-dimensional, open channel flows with non-rectangular geometries. *International
Journal of Engineering Science*, 31 (7), pp. 1003-1011, 1993.

262. **P. Glaister.** Rotational symmetry of
a methane molecule and the bond angle. *Journal Of Chemical Education*,
70 (5), p. 351, 1993.

263. **P. Glaister.** Flux difference
splitting for open channel flows. *International Journal of
Numerical Methods for Fluids*, 16 (7), pp. 629-654, 1993.

264. **P. Glaister.** Cylindrically symmetric
flows in a Lagrangian frame. *Computers & Mathematics with
Applications*, 25 (8), pp. 41-45, 1993.

265. **P. Glaister.** An efficient numerical
method for subcritical and supercritical open channel flows. *Applied
Numerical Mathematics*, 11 (6), pp. 497-508, 1993.

266. **P. Glaister.** Second order accurate
upwind difference schemes for scalar conservation laws with source terms. *Computers
& Mathematics with Applications*, 25 (4), pp. 65-73, 1993.

267. **P. Glaister.** Chemical and linear
equations. *Theta*, 7, pp. 10-14, 1993.

268. **P. Glaister.** Chemical equilibrium. *Education
in Chemistry*, 30, pp. 106-107, 1993.

269. **P. Glaister.** Compressible duct flow
of a real gas in a Lagrangian frame. *Communications in Numerical
Methods in Engineering*, 9, pp. 21-26, 1993.

270. **P. Glaister.** Does what goes up take
the same time to come down? *College Mathematics Journal*, 24, pp.
155-158.

271. **P. Glaister.** Graphing pH curves. *School
Science Review*, 75, pp. 100-101, 1993.

272. **P. Glaister.** Observations on the
uniform acceleration formulae. *Theta*, 7, p. 29, 1993.

273. **P. Glaister.** On the general solution
of an operation table. *International Journal of Mathematical Education in Science and
Technology*, 24 (4), pp. 603-604, 1993.

274. **P. Glaister.** Oscillations of a
falling spring. *Physics Education*, 28 (5), pp. 329-331, 1993.

275. **P. Glaister.** Triangles:
area/perimeter. *Bulletin of the Institute of Mathematics and its Applications*,
29, p. 28, 1993.

276. **P. Glaister.** Vector equations and
their (unique) solution. *International Journal of Mathematical Education in Science and
Technology*, 24 (3), pp. 483-485, 1993.

277. **P. Glaister.** An approximate
quadratic formula. *Mathematics Teacher*, 86, p. 256, 1993.

278. **P. Glaister.** An efficient numerical
scheme for the shallow water equations. *International Journal of
Computer Mathematics*, 48 (3-4), pp. 239-250, 1993.

279. **P. Glaister.** A fresh angle on
methane. *Education in Chemistry*, 30, pp. 10-11, 1993.

280. **P. Glaister.** A general constrained
optimisation problem with applications in geometry. *Theta*,
7, pp. 14-18, 1993.

281. **P. Glaister.** A generalization of the
disk and shell result. *Mathematics and Computer Education*, 27, pp. 129-134, 1993.

282. **P. Glaister.** A pictorial route. *Education
in Chemistry*, 30, pp. 66-75, 1993.

283. **P. Glaister.** A result on moments of
volumes. *International Journal of Mathematical Education in Science and
Technology*, 24 (6), pp. 916-917, 1993.

284. **P. Glaister.** A sum of binomial
coefficients. *Mathematical Spectrum*, 25 (3), p. 88, 1993.

285. **P. Glaister.** Real gas flows in a
duct. *Computers & Mathematics with Applications*, 24 (11),
pp. 45-59, 1992.

286. **P. Glaister.** On the area swept out
by a projectile. *Mathematical Gazette*, 76, pp. 384-385, 1992.

287. **P. Glaister.** Roots and reactions. *Mathematical
Gazette*, 76, pp. 385-386, 1992.

288. **P. Glaister.** Similarity solutions
for multicomponent flows. *Computers & Mathematics with Applications*, 24 (10),
pp. 77-88, 1992.

289. **P. Glaister.** An interesting result
on centres of mass. *Mathematical Gazette*, 76, pp. 381-382, 1992.

290. **P. Glaister.** Prediction of
supercritical flow in open channels. *Computers & Mathematics
with Applications*, 24 (7), pp. 69-75, 1992.

291. **P. Glaister.** An efficient Riemann
solver for unsteady flows with non-ideal gases. *Computers &
Mathematics with Applications*, 24 (3), pp. 77-93, 1992.

292. **P. Glaister.** Calculating nth
moments: two methods and their equivalence. *International Journal of Mathematical
Education in Science and Technology*, 23 (3), pp. 501-502, 1992.

293. **P. Glaister.** Cubics et al. IMA
Journal of *Teaching Mathematics and its Applications*, 11 (3), pp.
124-127, 1992.

294. **P. Glaister.** Extensions of a liquid
flow problem. *International Journal of Mathematical Education in Science and
Technology*, 23 (1), pp. 133-140, 1992.

295. **P. Glaister.** Formula 1 motor racing. *Mathematical
Spectrum*, 24 (1), p. 121, 1991.

296. **P. Glaister.** Logarithmic units,
questioned. *Education in Chemistry*, 29, p. 68, 1992.

297. **P. Glaister.** Natural occurrences of
the harmonic mean. *Physics Education*, 27 (2), p. 181, 1992.

298. **P. Glaister.** On the application of
techniques in calculus to the problem of determining dynamic equilibria. *Theta*,
6, pp. 15-19, 1992.

299. **P. Glaister.** On the calculation of
equilibrium concentrations. *School Science Review*, 74, pp. 76-78,
1992.

300. **P. Glaister.** On the ratio of times
of flight. *Theta*, 6, pp. 22-23, 1992.

301. **P. Glaister.** Optimisation problems
in geometry with a generalisation to n dimensions. *International
Journal of Mathematical Education in Science and Technology*, 23 (4), pp.
628-630, 1992.

302. **P. Glaister.** Projectiles on inclined
planes. *Physics Education*, 27 (5), pp. 269-272, 1992.

303. **P. Glaister.** Rule of thumb,
recalled. *Education in Chemistry*, 29, p. 37, 1992.

304. **P. Glaister.** Unusual integration
formulae. *Mathematical Spectrum*, 25 (2), pp. 45-46, 1992.

305. **P. Glaister.** What does the harmonic
mean? *Mathematics in School*, 21, p. 51, 1992.

306. **P. Glaister.** An alternative proof
that equilibrium concentrations for a chemical reaction are always uniquely
determined by the initial concentrations. *Journal Of Chemical Education*,
69 (1), p. 51, 1992.

307. **P. Glaister.** An application of
Matrix Theory. *Mathematics Teacher*, 85, pp. 220-223, 1992.

308. **P. Glaister.** A comparison of the
orbits of the planets. *School Science Review*, 74, p. 89, 1992.

309. **P. Glaister.** The effect of
dissipation on flight times. *Mathematical Spectrum*, 25 (1), pp.
22-24, 1992.

310. **P. Glaister.** A finite difference
scheme for steady, supersonic, two-dimensional, compressible flow of real
gases. *Computers & Mathematics with Applications*, 24 (4), pp.
49-59, 1992.

311. **P. Glaister.** A method for
calculating the sum of infinite series. *International Journal of
Mathematical Education in Science and Technology*, 23 (5), pp. 798-800,
1992.

312. **P. Glaister.** A new measure for
ellipses. *Physics Education*, 27 (2), pp. 58-59, 1992.

313. **P. Glaister.** An optimisation problem
in mechanics. IMA Journal of *Teaching Mathematics and its Applications*,
11 (1), pp. 31-34, 1992.

314. **P. Glaister.** A proof of a general
result on collapsing series. *International Journal of Mathematical
Education in Science and Technology*, 23 (2), 1992.

315. **P. Glaister.** A simple balance? *Education
in Chemistry*, 29, p. 96, 1992.

316. **P. Glaister.** Telescoping series. *Mathematical
Gazette*, 75, pp. 443-445, 1991.

317. **P. Glaister.** A 'flat' function with
some interesting properties and an application. *Mathematical Gazette*,
75, pp. 438-440, 1991.

318. **P. Glaister.** Length of flight. *Mathematical
Gazette*, 75, pp. 318-319, 1991.

319. **P. Glaister.** Multiplication tables:
a puzzle. *Mathematical Gazette*, 75, pp. 336-339, 1991.

320. **P. Glaister.** Shock capturing scheme
for steady, supersonic, isentropic flow. *International Journal of
Numerical Methods for Fluids*, 13 (7), pp. 884-894, 1991.

321. **P. Glaister.** Riemann solver for
"barotropic" flow. *Journal of Computational Physics*, 93
(2), pp. 477-480, 1991.

322. **P. Glaister.** A shock capturing
scheme for steady, supercritical, free-surface flow. *Computational
Mechanics*, 8 (2), pp. 135-144, 1991.

323. **P. Glaister.** A finite difference
scheme for inviscid flows with non-eequilibrium chemistry and internal energy. *Mathematical
and Computer Modelling*, 16 (2), pp. 21-27, 1991.

324. **P. Glaister.** Complex integrals. *International
Journal of Mathematical Education in Science and Technology*, 22 (3), pp.
476-477, 1991.

325. **P. Glaister.** Euler's equation: a
preliminary study. *International Journal of Mathematical Education in Science and
Technology*, 22 (1), pp. 164-165, 1991.

326. **P. Glaister.** Further results for a
general dissipative medium. *Theta*, 5, pp. 9-10, 1991.

327. **P. Glaister.** Hyperbolic functions:
matrices, groups and homomorphisms. *International Journal of
Mathematical Education in Science and Technology*, 22 (5), pp. 847-851,
1991.

328. **P. Glaister.** Investigations of a
number square. *Mathematics Teaching*, 136, p. 37, 1991.

329. **P. Glaister.** On equilibrium
concentrations for a chemical reaction. *School Science Review*, 73,
pp. 103-105, 1991.

330. **P. Glaister.** On the 'exponentially
small' gauge function: an example from reaction kinetics. *International
Journal of Mathematical Education in Science and Technology*, 22 (5), pp.
859-861, 1991.

331. **P. Glaister.** On the phases of the
moon. IMA Journal of *Teaching Mathematics and its Applications*,
10 (2), pp. 58-60, 1991.

332. **P. Glaister.** On the relationship
between iterative methods for two-point boundary value problems and artificial
time stepping techniques. *International Journal of Mathematical Education in Science and
Technology*, 22, pp. 563-568, 1991.

333. **P. Glaister.** A Riemann solver for
compressible flow of a real gas in a Lagrangian frame. *Computers
& Mathematics with Applications*, 22 (8), pp. 35-39, 1991.

334. **P. Glaister.** Shallow water flow with
cylindrical symmetry. *Journal of Hydraulic Research*, 29 (2), pp. 219-227, 1991.

335. **P. Glaister.** Similarity solutions of
the shallow water equations. *Journal of Hydraulic Research*, 29 (1),
pp. 107-116, 1991.

336. **P. Glaister.** Solutions of a
two-dimensional dam-break problem. *International Journal of
Engineering Science*, 29 (11), pp. 1357-1362, 1991.

337. **P. Glaister.** Some observations on
the inverted bottle problem. *Journal Of Chemical Education*, 68 (7),
pp. 623-624, 1991.

338. **P. Glaister.** A TVD finite difference
scheme with non-uniform meshes and without upstream weighting. *Computers
& Mathematics with Applications*, 22 (3), pp. 45-58, 1991.

339. **P. Glaister.** Volumes of revolution
and the golden section. *Mathematics in School*, 20, p. 46, 1991.

340. **P. Glaister.** An algorithm for the
shallow water equations with body fitted meshes. *Computational Mechanics*,
8 (5), pp. 313-318, 1991.

341. **P. Glaister.** An approximate solution
of the grazing problem. *Mathematical Gazette*, 75 (2), pp. 198-199, 1991.

342. **P. Glaister.** A complex integration
by substitution. *International Journal of Mathematical Education in Science and
Technology*, 22 (1), pp. 128-129, 1991.

343. **P. Glaister.** An efficient finite
difference scheme for three-dimensional, non-equilibrium flows using operator
splitting. *Computers & Mathematics with Applications*, 21 (2-3),
pp. 29-38, 1991.

344. **P. Glaister.** An isentropic flow
algorithm with body fitted meshes. *Computers & Mathematics
with Applications*, 22 (12), pp. 47-53, 1991.

345. **P. Glaister.** A method for
calculating some integrals. *Mathematics and Computer Education*, 25,
pp. 31-32, 1991.

346. **P. Glaister.** A non-uniform mesh
scheme for compressible flow. *Computers & Mathematics with
Applications*, 21 (4), pp. 39-62, 1991.

347. **P. Glaister.** An observation on the
Arrhenius equation. *School Science Review*, 73, pp. 99-101, 1991.

348. **P. Glaister.** The time difference for
a general dissipative medium. *Theta*, 5, pp. 20-21, 1991.

349. **P. Glaister.** Further optimisation
problems. *Mathematical Gazette*, 74, pp. 374-375, 1990.

350. **P. Glaister.** An algorithm for
isentropic flow. *International Journal of Numerical Methods for Fluids*, 11
(2), pp. 169-175, 1990.

351. **P. Glaister.** Times of flight. *Mathematical
Gazette*, 74, pp. 138-139, 1990.

352. **P. Glaister.** Approximate Riemann
solutions of the two-dimensional shallow-water equations. *Journal
of Engineering Mathematics*, 24 (1), pp. 45-53, 1990.

353. **P. Glaister.** Another peek at the
golden section. *Mathematical Gazette*, 74, pp. 45-46, 1990.

354. **P. Glaister.** Arithmetic progressions
for number sequences. *International Journal of Mathematical Education in Science and
Technology*, 21 (3), pp. 506-509. 1990.

355. **P. Glaister.** Card shuffling: a
microcomputer approach. *Mathematics and Computer Education*, 24 (1), pp. 7-10,
1990.

356. **P. Glaister.** Finite and infinite
products: a fresh look. IMA Journal of *Teaching Mathematics and its Applications*,
9 (4), pp. 179-185, 1990.

357. **P. Glaister.** Flux difference
splitting for inviscid, real gases with non-equilibrium chemistry. *Computers
& Mathematics with Applications*, 20 (3), pp. 45-51, 1990.

358. **P. Glaister.** Lateral thinking in
mechanics. *Physics Education*, 25 (2), p. 75, 1990.

359. **P. Glaister.** Mathematics for the
bath: a model and its solution. IMA Journal of *Teaching Mathematics and its
Applications*, 9 (1), pp. 15-18, 1990.

360. **P. Glaister.** Non-uniform
acceleration formulae. *School Science Review*, 71, p. 122, 1990.

361. **P. Glaister.** On the distance
travelled. *Physics Education*, 25 (5), p. 240, 1990.

362. **P. Glaister.** On the proof of a
general result in mechanics involving projectiles. *Theta*,
4, pp. 3-5, 1990.

363. **P. Glaister.** Sequences and limits. *Mathematics
Teaching*, 132, p. 7, 1990.

364. **P. Glaister.** Some aspects of
projectile motion. *School Science Review*, 72, pp. 125-127, 1990.

365. **P. Glaister.** Some further results
for motion with air resistance. *School Science Review*, 72, pp. 123-125,
1990.

366. **P. Glaister.** Two problems - on the
perimeter and mensuration and calculus. *Mathematics Teaching*, 131,
p. 34, 1990.

367. **P. Glaister.** When the dam breaks. *Physics
Education*, 25 (3), p. 139, 1990.

368. **P. Glaister.** You will get your pi,
eventually. *Mathematical Spectrum*, 23 (2), pp. 33-35, 1990.

369. **P. Glaister.** e - the easy way. IMA
Journal of *Teaching Mathematics and its Applications*, 9 (2), pp. 55-57,
1990.

370. **P. Glaister.** An infinite series and
a proof of its sum. *International Journal of Mathematical Education in Science and
Technology*, 21 (5), pp. 816-820, 1990.

371. **P. Glaister.** A projectile problem
with an application. *International Journal of Mathematical Education in Science and
Technology*, 21 (6), pp. 1002-1006, 1990.

372. **P. Glaister.** A similarity solution
for a shock reflection problem in isentropic gas dynamics. *Computers
& Mathematics with Applications*, 20 (1), pp. 67-75, 1990.

373. **P. Glaister.** Isentropic flow with
cylindrical or spherical symmetry. *Communications in Applied
Numerical Methods*, 5 (7), pp. 445-454, 1989.

374. **P. Glaister.** An efficient algorithm
for compressible flows with real gases. *International Journal of
Numerical Methods for Fluids*, 9 (10), pp. 1269-1283, 1989.

375. **P. Glaister.** Timeless resistance! *Physics
Education*, 24 (4), p. 187, 1989.

376. **P. Glaister.** Flux-difference
splitting for the Euler equations in generalised coordinates using a local
parameterisation of the equation of state. *Journal of Engineering
Mathematics*, 23 (1), pp. 17-28, 1989.

377. **P. Glaister.** Generalised Shears. IMA
Journal of *Teaching Mathematics and its Applications*, 8 (1), pp. 14-16,
1989.

378. **P. Glaister.** Logarithmic thoughts. *Micromath*,
5, pp. 15-17, 1989.

379. **P. Glaister.** Some observations on
the binomial coefficients. *Mathematical Gazette*, 73, pp. 315-317,
1989.

380. **P. Glaister.** Some thoughts on
numeracy. *IMA Mathematics Education News*, 1, pp. 4-5, 1989.

381. **P. Glaister.** An aspect of the ratio
theorem. *Mathematical Gazette*, 73, pp. 219-221, 1989.

382. **P. Glaister.** A limit obtained from
applied mathematics. *Mathematical Gazette*, 73, pp. 31-32, 1989.

383. **P. Glaister.** The logic of folding. *Mathematics
Teaching*, 128, p. 11, 1989.

384. **P. Glaister.** A matrix look at
hyperbolic functions. *Mathematical Gazette*, 73, pp. 326-327, 1989.

385. **P. Glaister.** The transition from
finite to infinite binomial expansions. *Mathematical Gazette*, 73,
pp. 228-229, 1989.

386. **P. Glaister.** Shock-capturing schemes
for body-fitted meshes. *International Journal of Numerical Methods for Fluids*, 8
(9), pp. 1095-1105, 1988.

387. **P. Glaister.** An approximate
linearised Riemann solver for the three- dimensional Euler equations for real
gases using operator splitting. *Journal of Computational Physics*, 77
(2), pp. 361-383, 1988.

388. **P. Glaister.** A shock reflection
problem in compressible gas dynamics with a similarity solution. *IMA
Journal of Numerical Analysis*, 8 (3), pp. 343-356, 1988.

389. **P. Glaister.** Flux-difference
splitting for the Euler equations with axial symmetry. *Journal
of Engineering Mathematics*, 22 (2), pp. 107-121, 1988.

390. **P. Glaister.** An approximate
linearised Riemann solver for real gases. *Journal of Computational
Physics*, 74 (2), pp. 382-408, 1988.

391. **P. Glaister.** Flux difference
splitting for the Euler equations in one spatial coordinate with area
variation. *International Journal of Numerical Methods for Fluids*, 8
(1), pp. 97-119, 1988.

392. **P. Glaister.** Approximate Riemann
solutions of the shallow water equations. *Journal of Hydraulic Research*,
26 (3), pp. 293-306, 1988.

393. **P.Glaister.** Products of vectors
revisited. *Mathematical Gazette*, 72, pp. 48-49, 1988.

1.
**P. Glaister.** Post 16 Mathematics, *Westminster Education
Forum National Conference*. Westminster Education Forum, London, (in press).

2.
**P. Glaister. **Post 16 Mathematics: landscape, policy,
reforms, and the Smith Review – a perspective from HE, *Mathematics Education
beyond 16: Pathways and Transitions*. Institute of Mathematics and its
Applications and CETL-MSOR.

3.
**P. Glaister, et al. **Core Maths preparation for the future and
enhancing the post 16 provision map, *Mathematics Education beyond
16: Pathways and Transitions*. Institute of Mathematics and its
Applications and CETL-MSOR.

4.
**P. Glaister.** The new Mathematics A‐levels: implementation and the
contribution of other subjects, *Westminster Education Forum National Conference on R**eforms to Maths
qualifications: new A-levels and the future of maths provision post-16**. *Westminster Education
Forum, London, pp. 36-67, 2017.

5.
**P. Glaister.** The future of post-16 Mathematics: improving
quality and increasing uptake, *Westminster Education Forum National Conference on R**eforms to Maths
qualifications: new A-levels and the future of maths provision post-16**. *Westminster Education
Forum, London, pp. 20-21, 2017.

6.
**P. Glaister.** Post 16 Mathematics – Pathways and transition
to HE, *Policy-UK
Forum 2017 National Conference on State of Mathematics Skills, Teaching and
Compulsory Maths to 18. *Policy-UK Forum, London, (in press).

7.
**P. Glaister.** Standards of University Teaching – what, if
anything, can be learned from schools? *Proceedings of the CETL-MSOR Maths
conference 2016. *The MSOR Network, pp. 50-55, 2016.

8.
**P. Glaister.** Developing the content of the six Areas of
Learning and Experience
*Policy Forum for Wales National Conference on The new National Curriculum
for Wales – developing the content of the Areas of Learning and Experience. *Policy
Forum for Wales, Cardiff, pp. 41-45, 2016.

9.
**P. Glaister.** A-Level maths - teaching, increasing uptake and
the impact of ‘core maths’, *Westminster Education Forum 2016 National
Conference on Reforming maths qualifications in England – GCSEs, A-levels, Core
Maths and compulsory courses post-16. *Westminster Education Forum, London,
pp. 54-56, 2016.

10. **P.
Glaister.** Post-16
Mathematics Reforms: A-level and Core Maths. *Proceedings of the CETL-MSOR
Maths conference 2015*. The MSOR Network, pp. 37-42, 2015.

11. **K. L. Ayres** **and**
**P. Glaister.** A
technique for delivering individualised formative problems and examples. *Proceedings
of the HEA-STEM Annual Conference 2012*. Imperial College London, England.

12. **K. L.
Ayres, N. R. T. Biggs and P. Glaister.** Statistical monitoring of student
performance: an early warning system. *Proceedings of the HEA-STEM
Annual Conference 2012*. Imperial College London.

13. **P. Glaister** **and**
**E. M. Glaister.** Teaching
and Learning Computer Algebra Packages. *Proceedings of the CETL-MSOR
Maths conference 2006*. The MSOR Network, pp. 63-65, 2007.

14. **P. Glaister.** Numerical
characteristic decomposition for compressible flows with general (convex)
equations of state. *Proceedings of the 3 ^{rd} Conference on Numerical
methods for fluid dynamics*. Institute of Mathematics and Its Applications
Conference Series (3), Clarendon Press, Oxford, pp. 383-390, 1988.

**c. Refereed
book chapters (2):**

1.
**P. Glaister.** Limitless opportunities for mathematics
graduates. In: *Vaidya,
K. (ed.) Mathematics for the curious: why study mathematics*. American
Association of University Presses, 2015.

2.
**P. Glaister** **and** **E. M. Glaister.** The role of
applications in Mathematics Teaching and the enhancement of mathematics
learning through project work. In: *Burghes, D. and Szalontai, T. (eds.)
International Research Series of Monographs on Mathematics Teaching Worldwide*,
Monograph 1. Kluwer, pp. 37-57, 2004.

**d.
Published reports (1):**

*1.
***P. Glaister, R. ****Craster, C.
Dunning, P. Giblin,**** M. Heslop,
S. Humble, S. Pope, R. Porkess, A. Rogers, L.
Walker and H. Wilson****.** *Report of the ALCAB panel on mathematics
and further mathematics, *A Level Content Advisory Board* (ALCAB), 2014.*

**e. Briefing
papers (1):**

*1.
***P. Glaister.** Briefing paper for universities on Core Maths,
CMSP, 2015.

**e. Conference
and workshop contributions (invited) (78):**

1. Post 16 Mathematics, Westminster Education Forum National Conference, April 2018.

2. Successfully teaching the new A level mathematics curriculum, Understanding ModernGov National Conference, January 2018.

3. Addressing the Skills Shortage in UK STEM, Policy-UK Forum National Conference, October 2017.

4. Post 16 Landscape; priorities, policy and practice, and the Smith Review and implementation, Power of 6 London Maths Hubs Conference - London: North East; Central and NW; Central and West; South West; Thames; and South East, October 2017.

5. Post 16 Landscape; priorities, policy and practice and its implementation for Core Maths, Kent & Medway Maths Hub Annual Conference, October 2017.

6. Core Maths preparation for the future and enhancing the post 16 provision map, IMA Conference on Mathematics Education beyond 16: Pathways and Transitions, Birmingham, July 2017.

7. Post-16 mathematics – landscape, policy, reforms, and the Smith review, AoC, July 2017.

8. Post 16 - landscape, policy, priorities, and what we know about the Smith review so far, Solent Maths Hub level 3 Conference, July 2017.

9. Post 16 Mathematics landscape, policy, reforms, and the Smith Review – a perspective from HE, IMA Conference on Mathematics Education beyond 16: Pathways and Transitions, Birmingham, July 2017.

10. Core Maths: past, present and future – where is it all heading?, Regional Conferences on Core Maths (NE, NW, NNW), July 2017.

11. Should more (or all) students continue to study mathematics to 18?’, Telegraph Festival of Education, June 2017.

12. Core Maths: past, present and future – where is it all heading?, National Conference on Core Maths, June 2017.

13. The Smith review into Post 16 mathematics – the likely implications for your schools, BBO Maths Hub Secondary Headteachers Conference, May 2017.

14. Post 16 Mathematics Reforms and the Smith Review, Royal Society of Chemistry, May 2017.

15. The Smith Review and the HE Sector, National Conference on Core Maths, May 2017.

16. Post 16 Mathematics Reforms and the Smith Review, Royal Society of Biology, May 2017.

17. Core Maths: Why we need to train teachers, National TSST Mathematics Conference: ensuring the highest quality provision, Birmingham, April 2017.

18. The new Mathematics A-levels: implementation and the contribution of other subjects, Westminster Education Forum National Conference on Reforms to Maths qualifications: new A-levels and the future of maths provision post-16, London 2017. (Chair).

19. The future of post-16 Mathematics: improving quality and increasing uptake, Westminster Education Forum National Conference on Reforms to Maths qualifications: new A-levels and the future of maths provision post-16, London 2017. (Chair).

20. Developing the Society’s response to the Smith Review of mathematics post-16, Mathematics Education at the Royal Society, London, March 2017

21. Core Maths and the Post 16 Review, NE Regional Conference (Darlington), March 2017.

22. Supporting the implementations of recommendations of the Post 16 Smith Review, National NCETM/Maths Hubs/CMSP/FMSP Conference, London, March 2017.

23. Core Maths and the Post 16 Review, NW Regional Conference (Manchester), March 2017.

24. Post 16 Mathematics and the role of Core Maths, Enigma Maths Hub Conference, Milton Keynes, March 2017.

25. Increasing participation in post-16 mathematics – landscape, policy, reforms, and the Smith review: Core Maths, Association of Colleges Conference, March 2017.

26. Core Maths and the Post 16 Review, NE Regional Conference (York), March 2017.

27. Core Maths – purpose, support, guidance, and its place in Post 16 reforms, Association of Sixth Form Colleges Conference, February 2017.

28. Post-16 Mathematics Reforms and (Smith) Review - potential impact on HE of prior study: knowledge, skills, and understanding, HEA Deans’ Summit Conference, York, February, 2017.

29. Post 16 Mathematics – Pathways and transition to HE, Policy-UK Forum National Conference on State of Mathematics Skills, Teaching and Compulsory Maths to 18. Policy-UK Forum, London, January 2017.

30. Post 16 Review of Mathematics, Leaders in Mathematics Education, Darlington, January 2017.

31. Post 16 Mathematics (and Conference Chair), Post 16 English and Mathematics National Conference, London, December 2016.

32. Core Maths and CMSP, National Conference on Level 3 for Maths Hubs, December 2016.

33. The Post-16 Review and Smith Report, National Conference on Level 3 for Maths Hubs, December 2016.

34. Core Maths, National FMSP Conference on Changes to Level 3 mathematics in England, November 2016.

35. Post 16 Mathematics – landscape, policy, reforms, review, Solent Maths Hub Conference, Portsmouth, November 2016.

36. Core Maths, the Post 16 Review, and CPD, NW Regional Conference, November 2016.

37. Core Maths, the Post 16 Review, and CPD, London & SE Regional Conference, November 2016.

38. Core Maths, the Post 16 Review, and CPD, NE Regional Conference, November 2016.

39. Policy reforms in mathematics education and priorities for Post 16 mathematics, Successful Selective Girls’ Schools National Conference, Reading, November, 2016.

40. Reviewing the impact of
mathematics reforms on higher education admissions, 2^{nd} National
Conference on Higher Education Admissions, October, 2016.

41. Developing the content of the six Areas of Learning and Experience Policy Forum for Wales National Conference on The new National Curriculum for Wales – developing the content of the Areas of Learning and Experience. Policy Forum for Wales, Cardiff, October 2016.

42. Core Maths – promotion, recognition and endorsement from HE, National Conference on Core Maths, London, October, 2016.

43. Post 16 Mathematics, Association of Reading Heads, Berks, October 2016.

44. The importance of Scholars to Teaching, Teaching Future Teaching Scholars National Conference, Nottingham, September 2016.

45. Post 16 Mathematics: Core Maths and AS/A Level Mathematics and Further Mathematics, Leaders in Mathematics Education, London, September 2016.

46. Statistics across the curriculum: are we preparing young people for the data revolution? Royal Statistical Society, London, July 2016.

47. The Wider Mathematical Landscape. BBO/NCETM Maths Hub Conference, High Wycombe, June 2016.

48. STEM CPD Opportunities. Teacher Subject Specialism Training (TSST) for National College of Teaching and Leadership (NCTL), Department for Education (DfE), London, 2016.

49. Post-16 Mathematics, Russell Group Heads/Directors of Admissions Conference, Exeter, 2016.

50. Core Maths and Higher Education, East Midlands Chamber of Commerce Launch Event with the Secretary of State for Education, Loughborough, 2016.

51. Core Maths Early Adopters National Conference, London, 2016.

52. Post 16 maths – Core Maths & CMSP, AS/A level reforms & ALCAB, Qualification Reform Conference, Queen Mary, University of London, 2016.

53. Core Maths – the picture nationally and locally. K&M/NCETM/FMSP Maths Hub Conference, Rainham, 2016.

54. Post-16, GCSE and Core Maths. National Conference on Post-16 Education and Training, London, 2016.

55. A-Level maths - teaching, increasing uptake and the impact of ‘core maths’, Westminster Education Forum National Conference on Reforming maths qualifications in England – GCSEs, A-levels, Core Maths and compulsory courses post-16, London 2016.

56. Mathematics Participation Measure, Bucks Association of Secondary Heads, Bucks, 2016.

57. Vision for level 3 mathematics participation, DfE/NCETM/FMSP/CMSP/Maths Hubs National Conference, 2016.

58. The new Post-16
Mathematics Landscape, 8^{th} Annual Keynote Sixth Form Leadership
National Conference, London, 2016.

59. Post-16 Mathematics, Russell Group PVC Conference, London, 2015.

60. Post-16 Mathematics Reforms: A Level. National Conference on Curriculum 2015, London, 2015.

61. Post-16 Mathematics Reforms: Core Maths. National Conference on Curriculum 2015, London, 2015.

62. Promoting Core Maths in HE - endorsement. National Conference on Core Maths, London, 2015.

63. Post-16 Mathematics. 5^{th}
National Conference on Secondary Mathematics, London, 2015.

64. 16-18 Mathematics: The new landscape. National UCAS Annual Admissions Conference, Newport, 2015.

65. A-level Mathematics and Further Mathematics – what’s around the corner?. BBO/NCETM Maths Hub Conference, High Wycombe, 2015.

66. Core Maths – who, why, what, where, and when? BBO/NCETM Maths Hub Conference, High Wycombe, 2015.

67. Core Maths. University of Birmingham, 2015.

68. Q-Step Centres, Core Maths, and CMSP. Nuffield Foundation National Conference for Q-Step Centres, London, 2015.

69. Core Maths and CMSP. Association of Colleges National Conference, London, 2015.

70. Promoting Core Maths – recruitment and endorsement. National Conference on Core Maths, York, 2015.

71. Promoting Core Maths – recruitment and endorsement. National Conference on Core Maths, London, 2015.

72. Outlining the Finalised
Content for Mathematics (and Further Mathematics) at AS and A-level. 3^{rd}
National Conference on Secondary Mathematics, London, 2015.

*73. **Promoting Core Maths - HE. National Conference Core Maths Early
Developers Launch, London, 2015.*

74.
*Promoting Core Maths – HE update. *National Core Maths
Leads Conference, London, 2015.

*75. **Core Maths – how and why did we get here? Launch of the Senior Advisory
Board for Core Maths, London, 2014.*

76. Promoting Core Maths - HE. National Core Maths Leads Conference, London, 2014.

77. Applying Mathematics in Education and Employment: The mathematical demands of university students. National Conference Core Maths Early Adopters Launch, London, 2014.

78. Applying Mathematics in Education and Employment: The mathematical demands of university students. National Conference Core Maths Launch, London, 2014.

**f.
Institution-wide presentations on post-16 Mathematics and Core Maths Briefings
on behalf of DfE/BIS:**

Bath, Birmingham, Birmingham City, Brighton, Bristol, Brunel, Cambridge, Cardiff, Central Lancashire, City, Coventry, De Montfort, Durham, Essex, Exeter, Greenwich, Harper Adams, Imperial College London, Lancaster, Leicester, Liverpool, London School of Economics, Loughborough, Kent, King’s College London, Manchester, Newcastle, Nottingham, Queen Mary, Oxford Brookes, Portsmouth; Plymouth, Sheffield, Sheffield Hallam, Southampton, Sunderland, Surrey, Sussex, UCL, UEA, Warwick, York, 2015-17.

**(b) ****Postgraduate
research supervision.**

· Anna Watkins (née Bebington) (2008-, p/t, intercalation 2010-2012 while preparing to win an Olympic Gold Medal at London 2012 in the Womens’ Double Sculls with Katherine Grainger, and again 2015-2016 in preparation for the 2016 Rio Olympics, and on maternity leave (twice)), jointly supervised with Baines.

· Ben Wells (2001-2005), jointly supervised with Baines.

· David Bailey (2001-2005), jointly supervised with Sweby.

· Wayne Gaudin (1998-2003, p/t), jointly supervised with Baines.

· Paul Sims (1995-1999), jointly supervised with Baines.

I have also supervised or co-supervised two Research Fellows and seven MSc projects. I have been an internal examiner for MSc programmes for 4 years and I have been a (sole) PhD internal examiner on 15 occasions. I regularly sit on PhD monitoring committees from 1994-.

**(c) ****Research
grants and contracts.**

**(i) ****External
Awards:**

·
Council
for British Teachers (CfBT)/Education Development Trust (EDT), *Core Maths
Support Programme*, (Consultant), 2015-16, £5,000.

·
National
HESTEM Programme,* Work Placements for Maths & Stats Undergraduates *(PI),
April 2011 - September 2012, £35,136.

·
EPSRC,
*Institute for Computational Fluid Dynamics*, December 1991 - May 1994,
(co-I with Sweby; PI Baines), £46,609.

**(ii) ****Internal
awards:**

·
University
of Reading Teaching and Learning Development Fund award, *Assessment in
Mathematics*, (PI), October 2002 - September 2003, £10,000.

**(d) ****Evidence
of Research Esteem.**

· Elected a Member of the London Mathematical Society (LMS) 2015

· Elected Chartered Scientist 2005.

· Elected Fellow of the Higher Education Academy 2001.

· Elected Chartered Mathematician 1991.

· Elected Fellow of the Institute of Mathematics and its Applications 1990.

·
One
of five lecturers giving a course for industry on ‘*Riemann Problems and
Numerical Methods*’ at Cranfield Institute of Technology, 1992.

·
Approximate
Riemann Solutions for Real Gases, (invited speaker), *2nd International
Meeting on Random Choice Methods in Gas Dynamics*, Cranfield, 1987.

** **

**(e) ****Evidence
of research leadership within the school/department.**

· Treasurer and member of the organising committee for the British Applied Mathematics Colloquium (BAMC), Reading, 2001. The BAMC is the main meeting of UK applied mathematicians, attracting around 300 delegates. This involved setting and managing the budget, setting the conference fees, booking rooms, accommodation and space, day-day finances and receipt of fees, securing income from: publishers, industrial sponsors, employer and professional bodies, for publicity purposes.

(f) **Contribution
to research activities at a national/international level.**

· Reviewer for approximately fifteen high quality journals.

** **

**1. ****Teaching
and leadership.**

(a) **Quality
of teaching and commitment to CPD.**

· Mentor for new staff (6 staff in total), 2001–.

· Elected Fellow of the Higher Education Academy, 2001.

· Qualified Teacher Status, 1984.

· Postgraduate Certificate of Education, University of Reading, 1981.

· Line manager for ~40 staff, including conducting Staff Development Reviews, Performance and Development Reviews, twice-yearly performance Reviews for Probationary Staff, Peer Observation and Mentor for teaching, outreach and administration duties, 2010-2015.

· Consistently excellent student feedback, from SSLC representatives and module evaluation forms. Typical feedback comments:

o “All students agree that Dr Glaister is well-prepared, organised and presents at a good speed.”

o ”Dr Glaister has a good rapport with students, is approachable and enthusiastic and maintains interest during lectures. Dr Glaister allows/encourages questions in lectures.”

o “Many students find the thorough nature of Dr Glaister’s lectures very helpful.”

o “Handouts are really useful.”

o “Everyone finds that the module is very well laid out and finds it interesting. People are understanding lectures and like the style of the lectures.”

o “The notes given on this course are really helpful and are full of lots of examples which is great. The problem sheets are also helpful as are the solutions. The lectures are good and the pace of them is just right.”

o “Enjoyable lectures and an interesting topic.”

o The lectures were very interesting, well presented. Favourite module so far!”

o “Interesting lectures, very good notes, easy to follow and understand.”

o “Glaister is a legend! You know it’s all true.”

**(b) Leadership
in teaching and learning (see also Section D(b) for leadership in Head of
Department role).**

·
In
2014 I designed a new, additional interactive quiz for applicants to conclude
the day, entitled ‘I’m a Transcendental – get me out of here!’ arising out of
my publication **a.26**.

· Introduced in 2008 a Teaching Fellow post with no research duties into the department. This initiative has proved to be an outstanding success, with the post holder receiving a University lump sum award, a School Award for Outstanding Contributions to Teaching and Learning (the only academic receiving this award in the School), and a University Award for Outstanding Contributions to Teaching and Learning (one of only four awards across the University), all in the first four years.

· Director of Undergraduate Studies and Director of Teaching and Learning, 2001-2004, 2006; Senior Tutor, 2004-2007; Deputy HoD, 2009-2010; Head of Department; 2010-.

· In 2004 I designed a new Visit Day Programme for undergraduate applicants (and their parents), including the development and delivery since then of an interactive quiz for applicants to conclude the day, entitled ‘Maths – 100% Proof’ which is very popular with applicants, as well as puzzles for applicants to try on arrival at the Visit Day. I received a University Award for this in 2007, and a further University Award for contributions to recruitment in 2008. The corresponding intake in 2005 increased by 50% over the numbers from previous years, which were roughly constant, and the numbers increased further so that current and more recent figures are double those from 2004 and earlier. Since 2009 I have also delivered a Visit Day Talk to applicants’ parents. As part of this I set about the task of improving significantly our marketing via our Departmental Brochure. This was written completely anew by a team comprising my newly appointed Admissions Officer, Director of Undergraduate Studies and myself, and this now showcases much better our undergraduate provision and the opportunities it affords.

**(c) ****Enhancement
in programme/module development and delivery.**

·
Introduction
of placement opportunities in all programmes, including developing versions of
all programmes ‘with a year in industry’. This has been informed by the work
undertaken as part of National HESTEM Grant I was awarded for 2011-12: ‘*Work
Placements for Maths and Stats undergraduates – identifying formats that
provide real employability skills and determining appropriate assessment
processes for degree level accreditation*’, and the outcomes contained in
the final report. The work has been disseminated to HE through HESTEM and seeks
to help institutions in setting up work placements for Maths and Stats students,
and this has been presented at a Teaching and Learning Showcase at Reading. The
impact of this work at Reading has been in terms of the strong influence the
outcomes have had on how we have introduced and developed placement
opportunities in the new programmes with a year in industry. The outcomes of
the project include:

o Written and video case studies of students describing the benefits of placements;

o Definitions of placement formats and employability skills;

o A table of minimum placement requirements;

o Examples of forms, questionnaires, posters and promotional emails to students and employers;

o A list of potential employers willing to contribute to give talks as part of the undergraduate curriculum;

o A list of potential hosts of work placements/work shadowing opportunities;

o
Development
of a ‘*Toolkit for setting up credit-bearing placements to improve the
employability skills of STEM students*’ which is published on the HESTEM
website and:

§ identifies how different types of work placement can be used and how a credit- bearing work placement might be incorporated into undergraduate degree programmes in mathematics or other STEM degree courses;

§ makes recommendations on protocol for appropriate assessment criteria and processes for skills acquired in order that work placements become a credit-bearing element of the curriculum;

§ makes recommendations to the Faculty of Science and other STEM departments across the university and further afield in setting up and assessment of a range of credit-bearing work placement types for undergraduates.

· New modules introduced under my leadership since 2010 include Geometry, Scientific Writing and Mathematical Programming, Error Correcting Codes, Mathematical Physics, Numerical Solution of Ordinary Differential Equations, Numerical Solution of Partial Differential Equations, Coding Theory, Part 3 Project, as well as post-exams activities on programming in Matlab, careers and outreach (which I deliver). Each of these initiatives have been undertaken for strategic reasons, either to increase the attractiveness of our programmes in the undergraduate and international market, or to enhance transferrable skills and modelling skills to improve employability.

Other recent enhancement in the programmes and their delivery are described in (d) and Section D(b). Previous programme enhancements delivered since my last promotion in 1999 include:

· Responsible for Departmental Teaching and Learning Plans, 2003-2006.

· Responsible for the Self-Evaluation Document for the Mathematics Periodic Review, and the associated documentation for this, 2003.

· Development and implementation (2002-2006) of the new undergraduate curriculum required in 2002 when the University moved from a structure of three ten-week terms to a different modular structure with twenty four weeks of teaching;

· Responsible (jointly with one other member of staff) for the Self-Assessment Document, QAA Subject Review, 2000, and the substantial amount of documentation in the ‘base room’.

· Leading assessment development, including introduction of skill-based modules, with significant written and oral communication components, open-notes examinations, projects – both individual and group-based, 2000-.

**(d) ****Supporting
students’ learning and development.**

· Introduction in 2010 of weekly Personal Tutorial meetings in Part 1 between Personal Tutors and Tutees to (a) provide strong support for the school-university transition both in academic and pastoral terms, (b) develop a strong relationship early on between both parties, (c) to provide better monitoring of progress and engagement by students, and (d) to provide support for their Part 1 modules and enhance their transferable skills. This has been very popular with students who commented in a Staff-Student Forum: “Students think these are really helpful and enjoyable. It gives students the opportunity to go through material and raise any concerns they have.” Students had also requested that we provide smaller group tutorials (10-12) for Analysis with a member of staff dedicated to their group, and this has been introduced from 2012-.

· In 2008 I enhanced our provision further by introducing a combined package of academic tutorials delivered by academic staff, and problems classes delivered by postgraduate teaching assistants.

· I was the first person to take on the role of Senior Tutor in the School from 2007-2009, responsible, in addition to the advertised duties, for the introduction of iLearn (a tool for assisting tutors and tutees in the latter’s development), and developing and organising a system of achievement prizes. This followed my introduction of a Senior Tutor role within the Department, which I held from 2004-2007, prior to the implementation by the University of a School position in 2007.

·
Introduction
and management of a weekly ‘Drop-in Maths Surgery’ aimed at providing support
for Part 1 students on A level material which is an essential pre-requisite for
Part 1 modules, 1998-. This was commended in the 2000 QAA Subject Review Report
for Mathematics and Statistics: ‘*A drop-in surgery, targeted
mainly at first-year students, offers a valuable and well-used learning
support, providing a source of immediate help in dealing with deficiencies in
background knowledge of mathematics. Students can access this sensitively
managed service directly on their own initiative, or may be referred by tutors
who identify particular needs*.’.

· Introduction and implementation of a Diagnostic Test for Part 1 students to help them establish areas of weakness in A level material, and writing a primer on transition materials for Part 1, 1998-2009.

·
Design
of a booklet and delivery of a presentation as part of the Part 1 induction for
new students, ‘An A-Z of Mathematics’, 1998-2009.This was commended in the 2000
QAA Subject Review Report for Mathematics and Statistics: ‘*Although
the student handbooks, while comprehensive, are not always user-friendly, this
is compensated by an excellent and imaginative pamphlet 'A to Z of Mathematics.*'.

**(e) ****Involvement
in National Activities, and involvement in Quality Management Processes within the
University and Nationally.**

Since promotion to Senior Lecturer in 1999 I have been extensively involved in many national activities, as well as Quality Management Processes in the University and externally:

· Elected Chair of the Joint Mathematical Council of the United Kingdom (JMC), comprising the learned societies, subject associations and professional bodies in the mathematical sciences, 2015-18.

o The JMC works closely with the Royal Society, including setting up the Advisory Committee on Mathematics Education.

o The 31 national organisations that are members of the JMC are: the Adults Learning Mathematics (ALM), Association of Teachers of Mathematics (ATM), Association of Mathematics Education Teachers (AMET), British Society for the History of Mathematics (BSHM), British Society for Research into Learning Mathematics (BSRLM), Conference of Heads of Departments of Mathematical Sciences (HoDoMS), Edinburgh Mathematical Society (EMS), Institute of Mathematics and its Applications (IMA), London Mathematical Society (LMS), The Mathematical Association (MA), Mathematics in Education and Industry (MEI), National Association for Numeracy and Mathematics in Colleges (NANAMIC), National Association of Mathematics Advisers (NAMA), National Numeracy (NN), National STEM Centre, NRICH/ Mathematics Millennium Project (NRICH), Operational Research Society (ORS), Royal Academy of Engineering (RAEng), Royal Statistical Society (RSS), United Kingdom Mathematics Trust (UKMT), Wales Institute of Mathematical and Computational Sciences (WIMCS), Advisory Committee on Mathematics Education (ACME), Department for Education [England] (DfE), Department of Education [Northern Ireland] (DENI), Education Scotland, The Higher Education Academy (HEA), National Centre for Excellence in the Teaching of Mathematics (NCETM), National College for Teaching and Leadership (NCTL), Office for Standards in Education (Ofsted), The Office of Qualifications and Examinations Regulation (Ofqual), The Royal Society (RS).

o Since its formation in 1963, the JMC has had some prestigious chairs, including a former Vice-Chancellor of the University of Reading, Sir Harry Pitt FRS.

· Appointed member of the Royal Society’s Advisory Committee on Mathematics Education (ACME) 2017 -.

· Appointed to the Royal Society’s A level Contact Group 2017-.

· Elected member of the Council of the Institute of Mathematics and its Applications 2014–7; 2017-2020

· Member of the joint CMS/Royal Society/JMC Working Group on ACME/NMSC/RS Mathematics Education Committee 2016 -.

· Appointed member of the IMA Schools and FE Committee 2016-

· Overarching Reviewer for Ofqual for the Accreditation of reformed AS/A levels in Mathematics and Further Mathematics, 2016-

· Working with, and providing input to Her Majesty’s Treasury (HMT)/Department for Education (DfE) Professor Sir Adrian Smith Post 16 Review Team, including School and College Case Studies and Workshops led by Adrian Smith, 2016 -.

· Working with Nuffiield Foundation and Q Step Centres on mathematical and quantitative skills, 2015-.

· Working with the CBI Education on mathematical and quantitative skills, 2016 -.

· Member of joint Teacher Subject Specialist Training (TSST)/National College Teaching and Leadership (NCTL)/Department for Education (DfE)/National Centre for Excellence in Teaching Mathematics (NCETM) Stakeholder Group on TSST 2016 -.

· Member of Joint Mathematical Council (JMC)/Teacher Subject Specialist Training (TSST)/National College Teaching and Leadership (NCTL)/Department for Education (DfE) Group on Initial Teacher Education (ITE), Initial Teacher Training (ITT) and Teacher Supply 2016 -.

· Appointed to the A Level Content Advisory Board (ALCAB) for Mathematics and Further Mathematics – a Russell Group-led subject panel of 11 senior academics (chosen predominantly from Russell Group Universities). Member of sub-group of ALCAB on mechanics. The Secretary of State for Education, Michael Gove, has devolved to this board the task of determining the core content requirements considered desirable in A level Mathematics and Further Mathematics for adequate preparation for entry to leading universities. 2013 – 2015; 2017 -.

·
Publication
of a Briefing Paper **e.1** on Core Maths on behalf of DfE and BIS. This was
part of a joint Ministerial communication to universities from Jo Johnson,
Minister of State for Universities and Science (BIS) and Nick Gibb, Minister of
State for Schools (DfE), which was accompanied by this Briefing Paper, and an
invitation from BIS to university Vice-Chancellors and their senior management
teams to be briefed (by me) on the relevance of Core Maths to higher education.

· Appointed External Expert Advisor to the Office for Qualifications and Regulation (Ofqual), 2015 -.

· Appointed a reader (assessor) for The Queen's Anniversary Prizes for Higher and Further Education, 2016-.

· External Advisory Board (and Reviewer) for the Nuffield Foundation, 2016 -.

· External Advisory Board for the Association of Colleges, 2017 -.

· Member Advisory Board for the 2018 British Congress on Mathematics Education, held every four years, 2015-18.

· Member of joint Royal Society/ACME Committee, 2015-.

· Member of joint DfE/BIS STEM Ministerial Group, 2015-.

· Member National Centre for Excellence in Teaching Mathematics (NCETM) Advisory Board, 2015-.

· Invited representative at the Parliamentary Links Day - Science After the Referendum: What Next? at the House of Commons and the House of Lords, June 2016.

· Invited representative at the British Academy and Report Launch and Roundtable: Higher level skills vs. consumer choice in Higher Education – Measuring up report, March 2016.

· Invited representative at the House of Commons/Council for Mathematical Sciences (CMS – IMA/LMS/RSS) on ‘Mathematical Sciences Driving the UK Economy’, January 2016.

· Invited representative at the House of Commons/Council for Mathematical Sciences (CMS – IMA/LMS/RSS) on ‘Post 16 Mathematics and Royal Society Advisory Committee on Mathematics Education, February 2017.

· University representative at a private meeting with the Secretary of State for Education, the Rt Hon Nicky Morgan MP, March 2016.

· Invited representative at the House of Lords/Mathematics in Education and Industry (MEI) Event on ‘Mathematics and its Applications’, March 2017.

· Invited representative at the House of Lords/Mathematics in Education and Industry (MEI) Event on ‘Mathematics and its Applications’, November 2015.

· Invited representative at the House of Commons/London Mathematical Society (LMS) Event on ‘Advancing Women in Mathematics’, February 2013.

· Member of Royal Society appointment panel for the membership of the Advisory Committee of Mathematics Education (ACME), 2015-7.

· Appointed to the London Mathematical Society (LMS) International Affairs Committee, 2015-.

· Appointed to the DfE Standards & Testing Agency - Task Review Group responsible for developing and reviewing the Skills Tests for newly qualified teachers (NQTs), PGCE and School Direct trainees, and this applying to teach. 2015 -.

· Appointed to the HE Expert Panel of the Assessment and Qualification Alliance. 2015.

·
Appointed
as the sole mathematics representative as an external expert adviser to the
Advisory Board for the Government’s National College for Teaching and
Leadership (NCTL) *Future Teaching Scholars Programme*, within the
Department of Education (DfE), part of a 9 year national programme to increase
the supply of secondary mathematics and physics teachers, 2015-.

· Appointed to the A Level Mathematics Advisory Board (ALMAB) – a subject panel of 10 senior academics, with Council of Mathematical Sciences (CMS, comprising the LMS, IMA and RSS) and Joint Mathematical Council (JMC) support, advising the DfE and Ofqual on new A-levels in Mathematics and Further Mathematics for first teaching in 2017. I have been working particularly with Ofqual, the Chair of the LMS Education Committee, the Chair of the IMA’s HEdSA Committee, the Honorary Secretary of the JMC, and ACME (The Royal Society’s Advisory Committee on Mathematics Education), on Problem Solving, Proof and Reasoning, and Mathematical Modelling. 2015 -.

· Appointed an Educational Adviser and Consultant to the national Core Mathematics Support Programme (CMSP) for the DfE and managed and delivered by the Centre for British Teachers (CfBT), providing advice on teaching, managing, communication and engagement, and the wider HE sector; speaking at relevant national education events in support of or on behalf of CMSP; providing critical review of both CMSP and wider Core Maths landscape; providing general advice and guidance in relation to Mathematics Education. Core Maths is intended to address the Government’s intention that, by 2020, the overwhelming majority of 16 to 19 year-olds will study mathematics. 2014 -.

·
Author of publications **a.3**
on ‘University Teaching - recognition and reward’, and **a.16** on
‘Standards of University teaching’. This has been fed into the University of
Reading’s Working Group on the review of Peer Review of Teaching at their
request. It has been fed into the HEA’s review of the UKPSF at their request.
2014.

·
Expert witness (and papers **a.3**
and **a.16** widely cited ) on University Teaching and Learning for the
Social Market Foundation publication: ‘Solving the Conundrum – teaching and
learning at British universities’ by Professor Sir Anthony Seldon, in response
to the Government’s Green Paper (BIS): ‘Higher education: teaching excellence,
social mobility and student choice’, and the proposed Teaching Excellence
Framework (TEF), 2016.

· Member of British Academy group of high-level representatives from the natural and social sciences and humanities communities on: ‘Quantitative skills capacity at the post 16 school and university levels’, 2016-.

· External Assessor for a Chair in Mathematics at the University of Leicester, 2015.

· External Independent Assessor and Interview Panel member for a Chair in Mathematics at Imperial College, 2015.

· External member of Periodic Review Team for the School of Mathematics, University of Kent, 2017.

· Sole external member of Periodic Review Team for the School of Mathematics, Cardiff University, 2014-15.

· Member of Ofqual’s A level Group of experts developing national Statutory Conditions and Guidance for reformed A level Mathematics and Further Mathematics for first teaching 2017, 2015-6.

· Member of Ofqual’s A level Mathematics Working Group of experts to provide a source of evidence to support Ofqual in providing guidance on A level Mathematics and Further Mathematics, including joint authorship of the report of this group for publication by Ofqual, 2015-6.

· Member of DfE Expert Panel responsible for reviewing and providing advice and guidance on new qualification material for Core Maths provision 2014 -.

· Member of the national Teaching Core Maths Advisory Board 2015 -.

· Member of the national Managing Core Maths Advisory Board 2015 -.

· Member of national Strategic Board, Core Maths Support Programme 2016 -.

· Vice-chair of the national Senior Advisory Board on Promoting Core Maths comprising senior figures in education, careers, business and industry, as part of the CMSP for the DfE, responsible for promoting Core Maths nationally to stakeholders, including employers, businesses, industry, secondary, further and higher education 2014 -.

- Member of a HE Working Group & Task force responsible for advising the DfE on promoting Core Maths to employers, and secondary, further and higher education 2014 -.
- Ambassador for Core Maths, briefing and advising vice-chancellors and senior leaders, in association with DfE/BIS, including authorship of ‘Briefing paper for universities on Core Maths’.

· Member of National Maths Hubs Forum – 35 Maths Hubs in the DfE/NCETM National initiative: Maths Hub Programme, 2016-.

· Strategic Board member: Berks, Bucks & Oxon Maths Hub, 2014-.

· Strategic Board member Solent Maths Hub, 2017-.

· Strategic Board member Surrey Plus Maths Hub, 2016-.

· Strategic Board member: NW1 Maths Hub, 2016-.

· External Examiner, Undergraduate Programmes, Loughborough University, 2016-.

· External Examiner, Undergraduate Programmes, Brunel University, 2012-6.

· University representative at the OCR/MEI National Launch of the Core Maths qualifications: Quantitative Reasoning & Quantitative Problem Solving, 2014.

· One of ~20 university, school and employer advisors to the AQA Examination Board on ‘The introduction of a new Core Mathematics qualification for 16-18’, This involved providing expert advice and feedback to the team developing the new Core Mathematics 16-19 qualification for introduction in 2014.

·
Sole
External Subject Specialist Adviser (invited) for an *Academic Audit (Stage 3)*
of the Mathematics and Statistics School at Swansea University, November 2012 -
February 2013.

· One of a team of ~20 university-sector ‘Correspondents’ with the Department of Pure Mathematics and Statistics, University of Cambridge, for their Department for Education funded initiative: Maths Education Programme, which aims to provide innovative, rich and stimulating materials to help support and inspire teachers and students of advanced post-16 mathematics. This will involve providing expert advice and feedback to the team developing the new post-16 qualifications.

· One of ~20 university, school and employer advisors to the AQA Examination Board on A level reform, 2012-This involves providing expert advice and feedback to the team developing the new A level specifications in mathematics, further mathematics and statistics.

· One of ~20 university-sector advisors to the Edexcel Examination Board on A level reform, 2012-. This involves providing expert advice and feedback to the team developing the new A level specifications in mathematics, further mathematics and statistics.

· The School (SMPS) Representative at a meeting between the University and representatives of Ofqual and DfE on A level reform, 2012.

· Member of the Court of the University of Surrey, 2011-.

· Member of the Higher Education Periodic Review and Programme Approval Team, IMA (Institute of Mathematics and its Applications), 2001-. In this role I review Programme Specifications and other documentation from university Mathematics Departments undergoing Periodic Review to approve, or otherwise, accreditation on behalf of the IMA as all Periodic Reviews must be approved by a Chartered Mathematician from the IMA, reviewing most recently in 2017 (x5); 2015; 2013; and 2010 the submission from the Mathematics Departments at the Universities of Cardiff, Kent, Newcastle, West England, De Montfort; Cardiff; York; and Bristol, respectively.

· Professorial member of the Senate Standing Committee on Examination Results (SSCER), 2015-.

· Committee membership: I have served on Senate and the University Court as an elected representative, 1994-2019, and the University Court for the three preceding years 1991-1994. I have also served on many committees, including seven Boards of Studies, most as Chair and Secretary (57 years’ worth), Departmental Course Committee as Chair and Secretary (6 years), School Teaching and Learning Committee (4 years), IFP Advisory Board (3 years), Faculty Board for Teaching and Learning (1 year), Committee of Course Advisors (3 years), Staff-Student Committees (22 years), Departmental Teaching and Learning Group (5 years), Course Evaluation Committee (3 years), Wessex Hall Committee (5 years) and countless ad hoc Departmental and Faculty working groups, 1988-.

· Chair, External Scrutiny Group, IT Degree, 2003.

· Representative for the visits of: HEA Accreditation Team, 2002; QAA Institutional Audit, 2004; US Counsellors, 2005.

· Faculty Monitoring Groups for four subject areas (engineering, meteorology, physics, psychology), 2000-2004.

· Subject Specialist Reviewer (formerly Teaching Quality Assessor) in Mathematics, Statistics and Operational Research, for the QAA (Quality Assurance Agency), 1997-2000.

**(f) ****Contribution
to the development of teaching and learning within the University and
nationally/internationally**

·
Publications
in national and international journals on teaching and learning, mathematics
and science education, with 400+ publications in these areas. These are aimed
at teachers and university lecturers nationally and internationally. Impact is
primarily through use in the classroom and this is not necessarily reflected in
citations. For example, my work on proofs and conjectures in prime number
theory attracted considerable interest and request for the associated resources
following publication of **a.56** and presentation at a STEMNET meeting of
mathematics and science teachers.

·
Presentations
at conferences on teaching and learning (see items **a.22**, **c.1-4** and
**e.1-7**, in Section B).

· University publications on teaching and learning:

o
Maths
and Stats takes UROP a stage further (with K L Ayres and C J
Smith), *Teaching Matters*, **26**, 10-11, 2011.

o
‘*Diversifying
assessment in Mathematics at Reading*’: a case study in ‘*Introduction
to Assessment for Learning*’, University publication on teaching and
learning, 2005.

o Improving Assessment in Mathematics. (Teaching and Learning Development Report.), 2003.

· The University representative at the AQA Core Mathematics Stakeholder Conference, London, 2014, advising on HE requirements.

· Representative at the meeting with HMC & GSA to showcase the University of Reading, 2014.

· The University representative at the AQA Mathematics A-level Stakeholder Conference, London, 2012, advising on A level reform.

·
Presentations
to external visitors from Russia on *Innovative methods in Teaching and
Learning*, 2006 and 2007.

·
One
of ~10 university-sector representatives at the Department for Education (DfE)
Conference on ‘*Formula for Success: Supporting the Delivery of Science
Technology and Mathematics in Schools*’, advising on establishing STEM
opportunities in schools, 2004.

· One of ~20 university-sector representatives on the Advisory Committee on Mathematics Education (ACME) Conference on Continuing Professional Development for Mathematics Teachers, advising on the forming and development of the National Centre for Excellence in Teaching Mathematics (NCETM), 2003.

**3. ****Teaching
Load**

In each of 2011/12, 2012/13 and 2013/4 I supervised three Part 3 project students, and in 2010-18 I delivered the following lectures:

· MA1GEO, Geometry (10 credits, 34 lectures, 40 students in 2010/11, 57 students in 2011/12, 50 students in 2012/13, 70 students in 2013/4, 32 students in 2014/5);

· MA3NIO, Analysis of Numerical Techniques for Integration and Ordinary Differential Equations (10 credits, 22 lectures, 25 students in 2010/11, 30 students in 2011/12);

· MA3NA2, Numerical Analysis (10 credits, 22 lectures, 50 students in 2012/13, 73 students in 2013/4);

· MA3CV/MA4CV, Calculus of Variations (10 credits, 22 lectures, 102 students in 2015/16, ?? students in 2017/18);

· MA3AM/MA4AM Asymptotic Methods (20 credits, 44 lectures, 8 undergraduate students, plus PhD students, in 2015/6, ?? students in 2017/18).

· MA4AM2 Asymptotic Methods 2 (10 credits, 22 lectures, 6 undergraduate students, plus PhD students, in each of 2010/11 and 2011/12, 8 undergraduates, plus PhD students in 2012/13, 12 undergraduate students, plus PhD students in 2013/4).

· Supervising two students on Teaching and Learning Placements in each of the summer vacations 2011 and 2012, developing videocasts for MA1GEO as an additional resource to support students.

· MA1CAL/Personal tutorials (10 in each of the Autumn and Spring Terms of each year, 8 students).

The Geometry course was particularly challenging because of our blind student. This included 100+ pages of detailed notes written in LaTeX, 200+ Exercises with worked solutions written in LaTeX, 200+ ‘dynamic’ figures constructed using Geogebra, and made available in a ‘raised’ format on rubber for this student and as interactive programs for all students. In 2013/4 this module was revised significantly to enhance students’ learning even further by the development of ‘Beamer’ presentation files for notes and problems, with links to ‘vidcasts’ and ‘dynamic’ figure in Geogebra.

In the previous four years, 2006-2010, I gave over 600 lectures, representing six 10 credit courses in each year. All of these modules have been written from scratch, with exercises and solutions, for modules ranging from Part 1 to Masters level (all 10 credits): Calculus, Matrices and Vectors, Numerical Analysis, Calculus of Variations, Asymptotic Methods, Numerical Solution of Differential Equations and Dynamics. I have also developed materials and delivered courses on Maple, and Matlab, which were used as self-study materials for my Part 1 courses during this time, and I have delivered between 20-40 tutorials in each year. Three of these modules, representing 40% of the lectures delivered, were compulsory with large classes (100-150 students) and 30% had class sizes between 30 and 80.

In
total, in the last 30+ years, I have given over 6000 lectures across 19
different modules. For each of the modules the lectures, exercises and
solutions have been written from scratch when first delivered. The modules range
from Foundation to Masters level (all 10 credits except one which is 20
credits): **Calculus, Matrices and Vectors, Ordinary Differential Equations, Linear
Algebra for Engineers**

** **

**(a) ****Outreach.**

I have been instrumental in efforts on outreach, and for some time the only contributor in the Department, as the need to address the widening participation agenda and offer more outreach opportunities increased, in line with the expectations of the funding council. In 2004 I therefore proposed the introduction of the role of Director of Outreach, and have taken on that role since then, with a view to increasing our activity and impact in this area. Since becoming HoD in 2010 I have had the platform to expand activities substantially. We now have a programme which is planned to reach out to 500+ school students each year. The combination of Student Tutoring, the partnership with a local school and the STEMath Ambassador Scheme provides students interested in teaching with a platform and experience for applying to teacher training courses. The components of the outreach programme include:

· I led a Regional Assessment Centre at Reading (one of a small number in England) as part of the Institute of Mathematics and its Applications’ Mathematics Initial Teacher Training (ITT) Scholarship scheme, sponsored by the Department for Education, with mathematics-based and education-based face-face interviews, a discussion group, and a mathematics test, as part of the selection process for 250 Scholarships nationally, 2012 – 2015.

· STEMath Ambassador Project – recruitment, training and management of a team of three to five student Mathematics Outreach Ambassadors in the Department who deliver outreach sessions in schools, and act as STEMNET student ambassadors, 2012-.

· I have formed a partnership with the Head of Mathematics at the John Madejski Academy (JMA) in Reading to place mentors from the Department into JMA to act as tutors for their students, encouraging them to aim high as well as helping them improve their maths skills, 2012-15. In 2014-5 a total of 13 mentors contributed.

· Member of National Maths Hubs Forum – 35 Maths Hubs in the DfE/NCETM National initiative: Maths Hub Programme, 2016-.

· Strategic Board member: Berks, Bucks & Oxon Maths Hub (Chair) 2015-; Surrey Plus Maths Hub 2016-, NW1 Maths Hub, 2016-; Solent Maths Hub, 2017-.

· Departmental Contact for Teach First – promoting and supporting the University initiative on this, 2014-.

· Departmental Contact for students wishing to apply for PGCE or School Direct Initial Teacher training, 2010 -.

· The Department is jointly hosting a twice-yearly CPD session on Saturdays for around 30-50 school teachers that I help organise in conjunction with the Mathematical Association/Association of Teachers of Mathematics, 2012-.

· Introduction (in partnership with Student Recruitment and Outreach (SRO)) of a two-day (non-residential) Maths Summer School for around 20-30 school students, chosen by SRO, 2013 -.

· Departmental representative at the Aspire2 Workshop held jointly between the University of Reading and Whitley Excellence Cluster Schools, 2014 -.

· Member of the selection and interview panel for the Faculty of Science Outreach Officer, University of Reading, 2014.

· Introduction and development (in partnership with Student Recruitment and Outreach) of a yearly ‘Maths Fun Day’ for 80-100 year 12 students from within a 100 mile radius, 2010-.

· STEM Ambassador – activities for local schools, including careers events, CPD for teachers, 2010-. I have strong links specifically with Maiden Erlegh School where each year I advise pupils and parents on the benefits of continuing with mathematics post-16 and related careers and higher education advice.

· Founding Member and Management Team Member, South East Region Further Mathematics Support Programme (FMSP, formerly Further Mathematics Network Centre) - a Government-funded initiative to support schools and colleges, and their students, in the delivery of A level mathematics and further mathematics. Hosting and co-organising Maths Revision Days three times a year in the Department, and contributing subject specialist revision sessions throughout this period, for the South East Region FMSP, 2005-. This scheme brings in around 100 students and around 5 teachers each year into the Department and includes direct contact with a range of schools in the South East.

·
**Pr**oject **I**n **M**athematics **E**nrichment
(PRIME), developing resources, masterclases, outreach sessions, careers
information, including: ‘Internet Transactions–how secure are they?’, ‘Maths –
just sum fun – Fibonacci numbers’, ‘Primes and Proof’, ‘Maths – 100% proof?‘,
‘Codes and Code Breaking’, ‘I’m a Transcendental – get me out of here’, ‘Careers
involving maths -why you should take it’, 2004-. The resources are aimed at
schools, and these materials have been made available through the STEMNET
Ambassador Network, journal publications and SRO.

· Students in Schools/Student Tutoring within Communications/Student Recruitment and Outreach. I have been a Steering Group member and alternate chair since 2001, and promote and support volunteers participating in this scheme in the Department, 2001-. Around 200 students across the university each year complete 10-week placements, with around 10-20 students each year from the Department who participate in the scheme. In 2011-12 22 students participated in the scheme in the Department, representing nearly 50% of all students from the Science Faculty in the scheme.

· Represented the University at the ‘Parents and Carers’ evening at the Berkshire Higher Education Conference, 2007 and 2010-2012.

In addition, I have contributed previously to outreach through:

· Royal Institution Mathematics Masterclasses for Young People, Berkshire, on ‘Torches, Teacups and Satellite TV’, 1991, 1992, 1993, 2005, 2006.

· Talks on University Open Days, 1987-, including in 2005 the creation of an imaginative mathematics talk on ‘Internet Transactions – how secure are they?’, delivered by myself and others, 2005-2010.

· ‘Mathematics at University’, talks at the Connexions Berkshire Higher Education Fair, 2005-2008.

· ‘Codes and Internet Security’, Maths Masterclass for HEFCE Summer School, Reading, 2005-2007.

· Working jointly with the Coordinator for the Student Associate Scheme, Institute of Education, to recruit 100+ STEM students in the University to undertake work placements schools for two weeks in June each year, 2004-2011.

· Compact Scheme – termly enrichment sessions with local school children as part of the University’s outreach strategy, 1995-2001.

· ‘University Admissions’, HEFCE Summer School, 2001.

· Maths and Careers Talks as part of the University’s Liaison Scheme for Schools and Colleges, 1990-2000.

· Centenary Mathematics Lecture, ‘Cricket, Comets and Cooling Towers’, as part of the University’s Celebration of 100 years of higher education in Reading, 1992.

· Sessions on ‘Transition from School to University’ and ‘Admissions’ as part of the University of Reading Teachers’ Conference, 1987.

**(b) ****Administration/Leadership/Management
roles and activities.**

· I was Head of Department from August 2010 to July 2015, with particular responsibility for Academic Staff and Teaching, acting as line manager for ~40 academic staff. Major areas of development during this time include: staff management, employability, student recruitment, student engagement and programme enhancement.

Prior to appointment as Head of Department in 2010 I have held other significant leadership and management roles (some of which I continue with) including:

· Deputy Head of Department, responsible for a range of duties within the Department, including teaching, learning and assessment, infrastructure, administration, and deputising for the Head of Department when required.

· International Foundation Programme (IFP) Coordinator, 1986 - , (and during 2005-2008 as Chair IFP BoS and Programme Examiners, and member of Advisory Board), responsible for two 40 credit modules in the Department (three since 2010), quality assurance, member of BoS, employment of sessional staff, liaison with IFP, etc, and this now includes modules delivered in University of Reading Malaysia, where I am also Module Convenor, 2015-. In the last three years alone these modules have brought in in excess of 150K in overheads. I also took over the coordinator’s role for the Physics IFP module when Physics closed in 2010, and continue with this role.

· Chair and Chief Internal Examiner, Programme Examiners (undergraduate), 2007-2011.

· Internal Examiner, undergraduate programmes, 2001-.

· Applied Mathematics Exam Scrutineer, 2015-.

· Internal Examiner, postgraduate programmes, 2000-2001 and 2007-2010.

· Department Teaching and Learning Plans, 2003-2006.

· Preparation of documentation and Self-Evaluation Document for Periodic Review, 2003.

· Preparation of documentation and Self-Assessment document (joint) for QAA Subject Review, 2000.

Further details of some initiatives undertaken as part of the other administration, leadership and management roles I have held (other than HoD and DHoD) can be found in section C. The relevant roles are:

· School Senior Tutor, 2007-2009.

· Departmental Senior Tutor (no School role then), 2004-2007.

· Director of Outreach 2004-.

· Director of Undergraduate Studies, Director of Teaching and Learning, Programme Director and Advisor for ten programmes, 2001-2004 and 2006.

· Undergraduate Admissions for ten undergraduate programmes, 1995-2001 and 2004.

· Staff-Student Course Evaluation Organiser and Chair of Committee, 1998-2001.

· Departmental Examinations Officer, 1990-1996.

· Visit and Open Day Coordinator (joint) for ten undergraduate programmes, 1988-1994.

· Member of Staff-Student Committees 1984-2003 and 2010-.

· UCAS talks and interviews on Visit Days, 1985-.

**(c) ****Awards
in recognition of exceptional contributions to the University.**

· Nominated for a Student Award for Outstanding Contributions to Teaching and Learning Support, 2014.

· University Award recognising ‘exceptional contributions to the department as Head of Department’, 2012.

· University Award from Academic and Research Award Committee – contribution point, 2009.

· University Award recognising ‘outstanding contributions to UCAS days and student recruitment’, 2008.

· University Award recognising ‘contribution to the excellent work of the Mathematics Department’s Admissions Team, particularly in respect of your role as visit day speaker, presenting a highly successful mathematical talk to applicants’, 2007.

· Nominated for a Student Award for Outstanding Contributions to Teaching and Learning Support, 2007.

· University Award for Outstanding Contributions to Teaching and Learning Support, 2006.

· University Award recognising ‘overall contribution to the Department and particularly in respect of the role as Director of Teaching and Learning’, 2004.

· University Award recognising ‘overall contribution to the Department, and particularly willingness to take on additional administrative responsibilities’, 2002.