Christopher J. Sangwin

Professor of Technology Enhanced Science Education

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

In mathematics we do not appeal to authority, but rather you are responsible for what you believe.
Richard Hamming, American Math Monthly, vol 105 no 7.

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.
Karl Friedrich Gauss, 1808

On definitions in mathematics. (Goold et. al., (1906) Harmonic Vibrations)

* 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.

*Software Projects

STACK provides a question type for the Moodle quiz which is specifically designed to enable sophisticated computer-aided assessment in Mathematics and related disciplines, with emphasis on formative assessment.
DragMath is a free "drag and drop" equation editor, written in Java. The editor lets users build up mathematical expressions in a traditional two dimensional way, and then output the results in a correctly formed syntax.
[The cover: Computer Aided Assessment of Mathematics] Computer Aided Assessment of Mathematics
Chris Sangwin © Oxford University Press, 2013.
      [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: 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: How Round is Your Circle?] How Round is Your Circle?
John Bryant and Chris Sangwin
© Princeton University Press, 2008.
      [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.
[The cover: Mathematics Galore!] Mathematics Galore!
Chris Budd and Chris Sangwin
© Oxford University Press, 3 May, 2001.
      [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.

* Other fun things!

Have you seen