Observational and experimental studies on roles of communication in mathematics learning
沟通在数学学习中的作用的观察和实验研究
基本信息
- 批准号:08837013
- 负责人:
- 金额:$ 0.83万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (C)
- 财政年份:1996
- 资助国家:日本
- 起止时间:1996 至 1997
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
The ability of communication has become increasingly important in education for the information society. This research examined problems of classroom communication in mathematics learning at junior high school, and sought a way to improve the situation. Development of mathematical ability involves acquisition of mathematical discourse : Students are expected to be able to flexibly handle symbols, formulae, terminology, figures, tables, graphs, etc.as toosl for communications as well as for investigation. In the first year of this research, ovservational case studies in various types of mathematics classroom were conducted, and the following situations were identified :1. Even if the frequency of students' utterance is rather high in a lesson, their expressions are often limited to short responses.2. The use of computer has potentials to introduce new ways of mathematical communication to the calssroom, but they have not yet been fully appreciated.3. Team-teaching has rich potentials to enhance classroom communication when communication between teachers is well organized.In the second year, mathematical discourse of proof in school textbooks was analyzed using George Lakoff's theory of cognitive model. Modular structure and organic one were found in the instruction of proof in the United States and Japan, respectively, and a "journey" metaphor was common. It was argued that mathematical proof be underestood as experiencing or guiding a journey of mathematical inquiry as well as giving accout ("telling a story") of the journey. Based on this analysis, a teaching expeirment on learning of proof in geometry was conducted in a junior high school, and a teaching method to improve communication in learning mathematical proof was developed : It uses a metaphor of adventure story for solving proof problems, and asks students to keep their own notebooks for recording their own or other's works and reflecting on them.
在信息社会的教育中,交际能力的培养显得越来越重要。本研究旨在探讨初中数学课堂交流中存在的问题,并寻求改善的途径。数学能力的发展涉及数学话语的收购:学生应该能够灵活地处理符号,公式,术语,数字,表格,图表,etc.as toosl通信以及调查。在研究的第一年,我们对不同类型的数学课堂进行了观察性的个案研究,发现了以下几种情况:1。即使学生在一节课上的话语频率很高,他们的表达也往往局限于简短的回应。计算机的使用有可能为课堂引入新的数学交流方式,但它们尚未得到充分的重视。在第二年,我们运用乔治·莱考夫的认知模式理论,对中学数学教材中的数学证明语篇进行了分析。美国和日本的证明教学分别采用模块式结构和有机式结构,并普遍使用“旅程”隐喻。有人认为,数学证明可以理解为体验或引导数学探究之旅,也可以解释(“讲故事”)这一旅程。在此基础上,进行了初中几何证明学习的教学实验,提出了一种促进数学证明学习中交流的教学方法:用一个解决证明问题的冒险故事来比喻,让学生自己记笔记,记录自己或他人的成果,并进行反思。
项目成果
期刊论文数量(6)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
関口 靖広: "Models for understanding proof" 日本数学教育学会第30回数学教育論文発表会論文集. 567-572 (1997)
Yasuhiro Sekiguchi:“理解证明的模型”日本数学教育学会第 30 届数学教育论文发表会记录 567-572 (1997)。
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関口 靖広: "数学学習における教室内ディスコースの分析について:その質的研究の意義と課題" 日本数学教育学会第29回数学教育論文発表会論文集. 367-372 (1996)
Yasuhiro Sekiguchi:“数学学习中课堂话语的分析:定性研究的意义和挑战”日本数学教育学会第 29 届数学教育论文发表论文集 367-372 (1996)。
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Yauhiro Sekiguchi: "Models for understanding proof" Proceedings of the 30th Presentation of These on Mathematical Education. 567-572 (1997)
Yauhiro Sekiguchi:“理解证明的模型”第 30 届数学教育会议论文集。
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Yasuhiro Sekiguchi: "On the analysis of classroom discourse in learning mathematics : Issues of its qualitatie pproaches" Proceedings of the 29th Presentation of Theses on Mathematical Education. 367-372 (1996)
Yasuhiro Sekiguchi:“论数学学习中课堂话语的分析:其质量方法的问题”第 29 届数学教育论文集论文集。
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SEKIGUCHI Yasuhiro其他文献
SEKIGUCHI Yasuhiro的其他文献
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{{ truncateString('SEKIGUCHI Yasuhiro', 18)}}的其他基金
A study on help-seeking in collaborative learning of mathematics
数学协作学习中的求助研究
- 批准号:
19K02785 - 财政年份:2019
- 资助金额:
$ 0.83万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
A cognitive semantical study on treatment of mathematical concepts in the school mathematics curriculum
学校数学课程中数学概念处理的认知语义研究
- 批准号:
12680272 - 财政年份:2000
- 资助金额:
$ 0.83万 - 项目类别:
Grant-in-Aid for Scientific Research (C)