| 基于弗氏教学理念下的高数教学模式探索 |
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| 引用本文： | 蔺云.基于弗氏教学理念下的高数教学模式探索[J].数学教育学报,2012(1):88-91,97. |
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| 作者姓名： | 蔺云 |
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| 作者单位： | 嘉应学院数学系 |
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| 基金项目： | 广东省普通高校人文社科研究项目——文化视域下高等数学课程创新思维教育探索与实践(10WYXM045);广东省高等教育教学成果奖培育项目——创新思维:数学文化教育教学的主旋律(高等数学课程教改探究) |
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| 摘 要： | 弗赖登塔尔的教学理念,可概括为3个词:"现实、数学化、再创造".基于弗氏教学理念下的高等数学教学模式,是以这三个词为主轴主线,以突出数学学科"创造、创新"的本性为核心,依托教学内容,挖掘创新因素,在教学反思的基础上构思并创新教法.以"微积分基本定理"的教学为范例,论述贯彻该模式的策略、操作及要义,演示如何将现成的数学转化成做出来的数学,教学生学习合情推理与猜想,学习如何数学化。
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| 关 键 词： | 数学化 再创造 直觉 微积分基本定理 创新思维教育 |
Research on Teaching and Studying Model of Higher Mathematics Based on Freudenthal Teaching Concept |
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| LIN Yun.Research on Teaching and Studying Model of Higher Mathematics Based on Freudenthal Teaching Concept[J].Journal of Mathematics Education,2012(1):88-91,97. |
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| Authors: | LIN Yun |
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| Institution: | LIN Yun(Department of Mathematics,Jiaying College,Guangdong Meizhou 514015,China) |
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| Abstract: | The Freudenthal model can be summarized into three words: "reality,mathematical and re-invention".The research on teaching and studying model Higher of Mathematics based on Freudenthal Teaching Concept takes these three words as principal axis.To stress the mathematical subject of "creation and innovation" as the core,the model depends on the teaching contents and the basis of teaching reflection conceive and innovative methods.This paper,will take "Fundamental Theorem of Calculus" teaching as an example to discuss about the implementation of the model’ s strategy,operations and the essence,demonstrating how to make the ready-made mathematics become into the make-outed mathematics,teaching students to learn suspect,to learn how to mathematically. |
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| Keywords: | mathematization re-creation intuition Fundamental theorem of calculus innovative thinking education |
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