Human activity: The soft underbelly of mathematics?
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Human activity and experience are an integral part of mathematics. They not only play a crucial role in the creative process of research but are also basic to the way human beings learn. I have suggested three lines of attack which would give students a better understanding of what mathematics is really about. First, we have to show them how (at least some of) the material they are studying originated and evolved into its present form through the combined efforts of generations of mathematicians. Second, we must encourage them to take an active part in their own learning, not just by practising routine exercises but by developing their own creative talents—thereby sharpening their insight into the way mathematics is created. Third, we have to find some way of relating higher mathematics to students’ previous experience. “The more abstract the truth is that you would teach, the more you have to seduce the senses to it” (F. Nietzsche,Beyond Good and Evil).
KeywordsUndergraduate Program High Mathematic Problem Orient Lecture Method Creative Talent
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- 1.F. J. Budden (1978)The Fascination of Groups. Cambridge: Cambridge University PressGoogle Scholar
- 3.J. D. Dixon (1973)Problems in Group Theory. New York: DoverGoogle Scholar
- 8.A. Gardiner (1977) The Art of Doing Mathematics (manuscript)Google Scholar
- 9.M. W. Han (1977) The Lecture Method in Mathematics: A Student’s View.Am. Math. Month.80:195–201Google Scholar
- 16.G. Polya and G. Szego (1972)Problems and Theorems in Analysis, Vol. 1. Berlin: SpringerGoogle Scholar
- 19.R. Thorn (1973) Modern mathematics: Does it exist? inDevelopments in Mathematical Education, A. G. Howson, ed. Cambridge: Cambridge University PressGoogle Scholar