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数学史如何影响教师的数学观

孙丹丹 汪晓勤 孙思雨

数学教育学报2024,Vol.33Issue(2):77-83,7.
数学教育学报2024,Vol.33Issue(2):77-83,7.

数学史如何影响教师的数学观

How Does the History of Mathematics Influence the Teacher's Conceptions of Mathematics

孙丹丹 1汪晓勤 2孙思雨3

作者信息

  • 1. 山东师范大学 数学与统计学院,山东 济南 250358
  • 2. 华东师范大学 教师教育学院,上海 200062
  • 3. 首都师范大学 教育学院,北京 100048
  • 折叠

摘要

Abstract

Conception of mathematics is a mental structure encompassing beliefs,concepts,rules,mental images,and so on.Teachers'conceptions of what mathematics is deeply affect their conceptions of how mathematics should be presented,which in turn affects specific teaching practices.Combining the two theoretical perspectives of classification of mathematical concepts and reflective mathematical concepts model,and with the help of case study method,this paper deeply depicts the changes in mathematical concepts and influencing factors of three in-service teachers in the process of learning the history of mathematics.It is found that the evolution history-historical background can enhance teachers'problem-solving tendencies,promoting teachers to realize the dynamics and humanism of mathematics;the evolution history-mathematics content can prompt teachers to pay attention to the interconnection between knowledge and the reason of knowledge,strengthening the Platonism view and weakening the instrumentalist view;the enumeration history-mathematics content can encourage teachers to recognize the flexibility and essence of mathematics,weakening the instrumentalist view.

关键词

数学教师/数学观/观念发展

Key words

mathematics teachers/conceptions of mathematics/development of conceptions

分类

社会科学

引用本文复制引用

孙丹丹,汪晓勤,孙思雨..数学史如何影响教师的数学观[J].数学教育学报,2024,33(2):77-83,7.

基金项目

2022年度江苏省高校哲学社会科学研究一般项目——中小学教师学科育德能力评价指标体系构建研究(2022SJYB1444) (2022SJYB1444)

北京市博士后工作经费资助项目(ZZ-2023-168) (ZZ-2023-168)

数学教育学报

OA北大核心CSSCICSTPCD

1004-9894

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