数学史的多元文化价值及其应用——以高师校本课程《高中数学选修课程专题研究》开发为例

The multi-cultural value and its application about mathematics history——A case stusy to develop school-based curriculum "Studies on Mathematics Elective Courses for Senior High School" in normal university

数学史的多元文化价值及其在数学教育中的应用是HPM的研究课题之一。本文以高师校本课程《高中数学选修课程专题研究》开发中数学史料的运用为例,探索其有效途径:通过数学史渗入教材各个专题的内容介绍、概念引入、理论构建和广泛应用之中,展示数学的多重来源和时空多元性;设置"数学史选讲"专题,突出数学的多元文化背景和数学思想方法的比较研究;插入数学史阅读材料、实习作业、习题、专题小结、学习报告等栏目,引导学生通过自学、收集、整理史料、体会数学史的多元文化价值。力求在课程和教材中反映数学在人类进步、文明发展中的作用,同时,反映不同社会背景对数学发展的作用,以及数学文化的交流和融合。

One of the investigation problems in HPM is the multi-cultural value of mathematics history and its application in mathematics education. Giving an example about the applications of mathematics historical materials in the developed school-based curriculum ＂Studies on Mathematics Elective Courses for Senior High School＂ in normal university, the paper explores its available approaches. The approaches show the multi-source and multi-space-time through introduction of mathematics history which is soaked into the teaching content, notion introduction, theory construction and wide application in every teaching unit. To give priority to comparative study of mathematics multi-cultural background and mathematics thinking methods, the elective course of mathematics history is set up. In order to guide students to sense the multi-cultural value of mathematics history from historiec materials by self-study, collection and classification, many reading materials about mathematics history, practices, exercises, brief summaties of each unit and study reports are inserted. All of these approaches strive to reflect the effect of multi-mathematics in human progress and civilization development, as well as to show different social backgrounds influence mathematics and intercommunication among different mathematics cultures.