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数学史知识融入高中数学教学的探讨

On Inquisition of Blend of Mathematical History and Mathematics Education

【作者】 陈克胜;

【导师】 郭熙汉;

【作者基本信息】 华中师范大学 , 课程与教学论, 2005, 硕士

【摘要】 许多数学史家与数学教育工作者都认识到数学史的教育价值,进而要求数学史进入数学教育。以前的数学教学大纲虽然涉及到一些数学史知识,但没有明确地提出具体的要求和实施建议,数学教育工作者对于数学史知识如何融入数学教学众说纷纭,见仁见智。笔者仔细研读了前人对数学史教育价值的认识,并结合教育部最近颁布的《普通高中数学课程标准(实验)》(以下简称《标准》)和自己的教学经验,对数学史知识融入高中数学教学的意义进行了总结:第一,有利于学生学习数学学科知识。第二,有利于发展学生的应用意识与创新意识。第三,有利于培育学生积极的情感、科学的态度和正确的世界观。本文着重探讨数学史知识融入高中数学教学的具体实施。笔者分别从以下三个方面来进行论述:第一,数学史知识融入概念教学。第二,数学史知识融入命题教学。第三,数学史知识融入问题解决教学。最后,笔者提出数学史知识融入高中数学教学的思考与建议,要求教师应具有必要的数学史素养以及具有在教学实践中如何处理数学史知识的能力。

【Abstract】 Most mathematician on mathematical history and workers on mathematical education have understood the value of mathematical history and asked for mathematical history getting into mathematics education. The former mathematical teaching programs were only involved some knowledge of mathematical history. They didn’t definitely put forward concrete demands and teaching proposes. Most mathematical educators have their separate thoughts for blend of mathematical history and math teaching. Therefore, author consulted kinds of understanding of mathematical history, combined Common Senior Math Course Criteria (short for Criteria in the following) which Ministry of Education issued and individual experience. Author reorganize understanding of mathematical history: the first one is the sense of knowledge and skills; the second is the value of process and methods; the third is the meaning of emotion, attitude and the attitude towards value. The studying process of mathematics concepts, propositions and solving problems have much in common with the rules of mathematical development. Therefore, the knowledge about mathematical history need to be put into the teaching of the math concepts, propositions and solving problems .But how does this happen? This is aims of my thesis: First, the knowledge of mathematical history is put into the concepts teaching. Second, the knowledge of mathematical history is put into the propositions teaching. Third, the knowledge of mathematical history is put into solving-problems teaching. In the end, the thinking and the suggestions raised about the knowledge of mathematical history mixing with the senior math teaching demands the teachers in the high school should have certain attainment of the mathematical history and the principles which need following in teaching.

  • 【分类号】G633.6
  • 【被引频次】13
  • 【下载频次】951
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