Professor David Tall
Professor David Tall describes the development of mathematical thinking from the young child to the sophisticated adult, and reveals why mathematical concepts that make sense in one context may become problematic in another.
From looking at the foundations of mathematical thinking, he covers problem solving and proof and the transition to formal knowledge, explaining that there is more to the 'good mathematician' than an ability to learn the fundamentals by rote.
According to Tall, language, along with recognition and repetition elevates mathematical thinking. That process of learning maths, he argues, starts at counting and moves to concepts such as estimation. With commitment and effort, Tall argues, anyone can learn the skills necessary to continue to grow into full mathematical maturity.
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