A Comparison of Equality in Computer Algebra and Correctness in Mathematical Pedagogy (2009)
Bradford, Russell, Davenport, James H, Sangwin, C J
How do we recognize when an answer is “right”? This is a question that has bedevilled the use of computer systems in mathematics (as opposed to arithmetic) ever since their introduction. A...
Ryan, E. P., Sangwin, C. J., Townsend, P.
A tracking problem is considered in the context of a class S of multi-input, multi-output, nonlinear systems modelled by controlled functional differential equations. The class contains, as a...
What is a mathematical question? (2008)
This paper discusses the nature of mathematical assessment, and compares paperbased learning materials with current online assessments. In the light of this comparison we propose a data structure for...
An infinite series of surprises. (2007)
Infinite series, that is an infinite sum of the form a1 + a2 + a3 + · · · =
All a matter of balance — or a problem with dominoes. (2003)
The problem 1 is this: “when we stack dominoes with only one touching the table, what is the greatest horizontal distance we can cover keeping in balance?” Taking as many dominoes, or other small...