IMAGES AND DEFINITIONS FOR THE CONCEPT OF FUNCTION
作者： Shlomo Vinner , Tommy Dreyfus
DOI: 10.5951/JRESEMATHEDUC.20.4.0356
关键词: Integrated mathematics 、 Connected Mathematics 、 Mathematics 、 Definitions of mathematics 、 Math wars 、 Function (mathematics) 、 Reform mathematics 、 Mathematics education 、 Identification (information) 、 Philosophy of mathematics education
摘要: Images held by 271 college students and 36 junior high school teachers for the concept of a mathematical function were compared to definitions they gave concept. A questionnaire was designed exhibit cognitive schemes that become active in identification construction problems make possible comparison these with definition. Many even more images primitive among all but mathematics majors teachers. Discrepancies between image definition frequent subjects who Dirichlet-Bourbaki
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