Christopher J. Sangwin

Professor of Technology Enhanced Science Education


[Picture of Chris] School of Mathematics
The University of Edinburgh
Official homepage

* Research

I am Professor of Mathematics Education as part of the Centre for Technology Enhanced Science Education. My research interests include (i) automatic assessment of mathematics using computer algebra, and (ii) problem solving using Moore method and similar student-centred approaches. A practical outcome of this is the STACK computer aided assessment system.

For more information, see the demonstration site and my book on this subject: http://www.stack.ed.ac.uk/.

[The cover: Computer Aided Assessment of Mathematics] Computer Aided Assessment of Mathematics
Chris Sangwin © Oxford University Press, 2013.

* Textbooks

[The cover: Advanced Mathematics 1 for AS and A Level] Advanced Mathematics 1 for AS and A Level
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2017.
      [The cover: Advanced Mathematics 2 for A Level] Advanced Mathematics 2 for A Level
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2018.
[The cover: IB HL Option: Calculus] Mathematics for the International Student (IB Diploma):
IB HL Option: Calculus

Catherine Quinn, et. al.
© Haese Mathematics, 2013.
      [The cover: MYP5] Mathematics for the International Student:
Pre-Diploma SL and HL (MYP 5 Plus)

Pamela Vollmar, et. al.
© Haese and Harris Publications, 2008.

* Other books

[The cover: How Round is Your Circle?] How Round is Your Circle?
John Bryant and Chris Sangwin
© Princeton University Press, 2008.
      [The cover: Mathematics Galore!] Mathematics Galore!
Chris Budd and Chris Sangwin
© Oxford University Press, 3 May, 2001.
[The cover: Teaching Problem-solving in Undergraduate Mathematics] Teaching Problem-solving in Undergraduate Mathematics
Christopher Sangwin, Matthew Badger, Trevor Hawkes
© National HE STEM Programme, University of Birmingham, 2012.
      [The cover: A Guide to Puzzle-Based Learning in Stem Subjects] A Guide to Puzzle-Based Learning in Stem Subjects
Matthew Badger, Christopher Sangwin, Esther Ventura-Medina and Colin Thomas
© University of Birmingham, 2012.
[The cover: Elements of Algebra] Elements of Algebra
© Tarquin Publications, 2007

* Some mathematical highlights

Euler's sum

One of my favourite results in mathematics is the following: \[ 1 + \frac{1}{4} + \frac{1}{9} + \cdots = \frac{\pi^2}{6}. \] Leonard Euler's wild and brave explanation is given here.
The game of Hex

Hex is a connection strategy game for two players. It is simple to learn, great fun to play and has some deep mathematics behind it.

Some hex resources.