"The artisan who initiates a known production technique is generally not doing mathematics. But the artisan(s) who discovered the technique did mathematics, was thinking mathematically. When pupils are stimulated to reinvent such a production technique they are doing and learning mathematics".
Discuss this claim in relation both to cultural manifestations of mathematics and in terms of school mathematics classrooms. How will you decide when a pupil is doing mathematics and when are they doing something else?
a) Use of visual aids
c) Relevancy of content
e) Confidence of listener
f) Coping with questions
h) Accuracy or mathematics
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