The Psychology of Advanced Mathematical Thinking: Biological Brain and Mathematical Mind
نویسندگان
چکیده
This paper focuses attention on psychological evidence of relevance to advanced mathematical thinking. It considers Edelman’s theory of neural Darwinism and Paivio’s theory of dual coding and contemplates how they reveal different perspectives in mathematics education. The former is consonant with the notion of concept image with both supportive and conflicting mental resonances, the latter is consonant with the complementary roles of symbolism and visualisation. This is related to Hadamard’s evidence on mathematical thinking in research which represents “where mathematicians are”. But how do students get there and what are their difficulties?
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