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 publicity flyer, our recent case study booklet, the demonstration site http://www.stack.ed.ac.uk/ and my book on this subject:

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

* International Baccalaureate Diploma Programme 2019

I am very pleased to continue to work with Haese Mathematics to co-author textbooks. A series of six textbooks to align with the International Baccalaureate Diploma Programme 2019 were published in the summer of 2019.

[The cover: Mathematics: Core Topics SL] Mathematics: Core Topics SL
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2019.
      [The cover: Mathematics: Core Topics HL] Mathematics: Core Topics HL
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2019.
[The cover: Mathematics: Analysis & Approaches SL] Mathematics: Analysis & Approaches SL
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2019.
      [The cover: Mathematics: Analysis & Approaches HL] Mathematics: Analysis & Approaches HL
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2019.
[The cover: Mathematics: Analysis & Approaches SL] Applications & Interpretation SL
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2019.
      [The cover: Mathematics: Analysis & Approaches HL] Applications & Interpretation HL
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2019.

* Textbooks

[The cover: GCSE Mathematics Foundation] GCSE Mathematics Foundation
Michael Haese, Mark Humphries, Chris Sangwin and Ngoc Vo.
© Haese Mathematics, 2018.
     
[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.