中学数学史教学案例研究

发布时间：2018-05-05 10:30

本文选题：数学史 + 数学教学　；参考：《辽宁师范大学》2011年硕士论文

【摘要】：自2003年《普通高中数学课程标准(实验)》正式颁布之后,数学史教学备受关注。本文通过对中学数学史教学案例研究,分析如何让数学史与数学教育更好地结合,进而发挥数学史更大的作用。笔者通过研读数学史家和数学教育工作者对数学史知识如何融入数学教学的认识,并结合《标准》中的要求,从以下几个方面进行了论述:第一,数学史与数学教育相结合的必要性,HPM的诞生和数学大家们的论述给出了很好的解释;第二,数学史在教学中的作用,能帮助学生理解数学的本质,激发他们学习数学的兴趣,并能培养他们的坚强意志;第三,数学史从课前、课中、课后融入数学课堂。第四,数学史的教学设计,在这里笔者先讨论了应遵循的原则,即应尊重历史、应尊重认知规律、应注重过程。然后具体给出了数学史在教学中的呈现方式,即在选修系列中呈现和在必修内容中穿插数学史。根据上述的理论知识,笔者设计了具体的教学案例,这也是本文的重点。案例分为两个部分,一个是“数学史选讲”内容的案例研究,一个是在必修内容中讲解数学史的案例设计。最后,对数学史作用于数学教学存在的问题,进行了总结,并提出了相关的解决策略和建议,并期望这些建议能有助于数学史选讲课的实施。
[Abstract]:Since 2003, General Senior High School Mathematics Curriculum Standard (experiment) was promulgated, mathematics history teaching has been paid more attention. Through the case study on the history of mathematics in middle school, this paper analyzes how to combine the history of mathematics with the education of mathematics so as to play a greater role in the history of mathematics. By studying the understanding of mathematics historians and mathematics educators on how to integrate the knowledge of mathematics history into mathematics teaching, and combining with the requirements of the Standard, the author discusses the following aspects: first, The necessity of combining mathematics history with mathematics education gives a good explanation for the birth of HPM and the exposition of mathematics. Secondly, the role of mathematics history in teaching can help students understand the essence of mathematics and stimulate their interest in learning mathematics. And can cultivate their strong will; third, mathematics history from class, class, after class into the mathematics classroom. Fourth, the teaching design of the history of mathematics, here the author first discussed the principles to be followed, that is, should respect history, should respect the law of cognition, should pay attention to the process. Then the presentation of mathematics history in teaching is given in detail, that is, the presentation in elective series and the interweaving of mathematics history in required contents. According to the above theoretical knowledge, the author designed a specific teaching case, which is also the focus of this paper. The case is divided into two parts, one is the case study of the content of "selected History of Mathematics" and the other is the case design of explaining the history of mathematics in the compulsory course. Finally, this paper summarizes the problems existing in mathematics teaching by mathematical history, and puts forward some relevant strategies and suggestions, and hopes that these suggestions will be helpful to the implementation of the lectures in history of mathematics.
【学位授予单位】：辽宁师范大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：G633.6

【引证文献】