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Walls and windows

Published online by Cambridge University Press:  01 August 2016

Peter Griffin  and
John Mason
Peter Griffin
Affiliation:
Faculty of Mathematics, Open University, Walton Hall, Milton Keynes MK7 6AA
John Mason
Affiliation:
Faculty of Mathematics, Open University, Walton Hall, Milton Keynes MK7 6AA
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Extract

When students work through a written proof what is it that they are attending to? At what level are they taking in and making sense of what they see? The mathematical symbols (i.e. diagrams, equations, etc) that are found in proofs are a result of the writer seeing some generality, attempting to express that generality and to convince themselves and others of its validity. We recognise that students, when reading a proof may work directly with the symbols, somebody else's symbols, without attempting to enter into the process of expressing generality for themselves.

Type
Research Article
Information
The Mathematical Gazette , Volume 74 , Issue 469 , October 1990 , pp. 260 - 269
Copyright
Copyright © The Mathematical Association 1990

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