In this talk we explain how computer aided assessment (CAA) can

automatically assess answers which consist of mathematical

content. We will examine what it means for two expressions to

be "the same", and when the different notions we discover are

actually useful in computer aided assessment. Ultimately we

will use ideas from computational ideal theory and a computer

algebra system to implement Buchberger's Algorithm to establish

when two systems of equations are the "same".

This will be illustrated by examples of "word exercises",

sometimes called "algebra story problems". These, we argue,

contain an element of mathematical modelling and hence are an

important component in mathematics education. In practice we

aim to provide automatic feedback in a formative setting to

support students. Examples from the STACK CAA system will

illustrate how this can be done.

# My equations are the same as yours!

Speaker:

Chris Sangwin (Birmingham)

Date/Time:

Mon, 29/11/2010 - 16:30

Room:

M103

Seminar series: