The Ambition of Absolute Agreement in Mathematics, and Deviations from It
CONSTRUCTIVIST FOUNDATIONS(2023)
摘要
I claim that mathematics is constructed with the ambition of allow-ing for absolute agreement. Dealing with students' thinking that deviates from the supposedly absolute agreement is a key problem for mathematics teaching. Some sources for such deviant thinking include the relationship between math-ematics and modelled reality, and the "imaginary" nature of probability.
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