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EXPRESSION FRAME OF THINKING ACTIVITY FOR LEARNING MATHEMATICS

数学学习思维活动表达框架

基本信息

批准号：
08680199
负责人：
YANAGIMOTO Sigekazu
金额：
$ 1.66万
依托单位：
FUKUI UNIVERSITY
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 1998
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08680199/
关键词：
Mathematics Education Teaching Methods Expression Frame of Thinking Activity Thinking Process Teaching-Learning Process Do Math (orDoing Math)Three Myself Constructivism 学び対語的学び教育方法数学的思考認知科学評価法

项目摘要

Main results of our research are given by the following (1) and (2)(1) In ordinary math classes, most of the teachers try to infuse mathematical concepts or knowledge written in the textbook to the students. They then encounter sometimes with serious difficulties to make students to form clear images of notions in their minds, We have developed , in this research, a new teaching-learning process where all students can construct the mathematical concepts and knowledge written in the textbook by themselves by making use of "Expression Frame" defined by the following (a) and (b) .(a)Students may construct a narrative of thinking activities by making use of an of "Expression Frame".(b)Any "Expression Frame" does not represent any narrative of thinking activities.(2) We may consider the" Three myself' M 1, M2 and MS corresponding to the following activities (1), (2) and (3) respectively. (1) Dialogue with visible object of attention. (2)Dialogue with object of attention in mind.(3) Construct a new dialogue by combining (1) and (2). Many researchers on mathematics education have emphasized that math class where the students can make Mathematical concepts and knowledge by their own efforts. But none of them shows a method by which the students can construct the mathematical concepts and knowledge by themselves. In this research, we have established a principle of teaching-learning process which satisfies the following.(A)" Three myself' Ml, M2 and M3 in students' mind are able to construct mathematical concept or knowledge written in the textbook.(B)A student is able to combine his/her thinking with other student's thinking by making use of the "Expression Frame".

我们的研究主要结果如下（1）和（2）（1）在普通的数学课堂上，大多数教师试图向学生灌输课本上写的数学概念或知识。有时，要让学生在头脑中形成清晰的概念形象会遇到严重的困难。在这项研究中，我们开发了一种新的教学过程，所有学生都可以利用以下（a）和（b）定义的“表达框架”来构建教科书中所写的数学概念和知识。（a）学生可以利用“表达框架”构建思维活动的叙述。（b）任何“表达框架”并不代表任何“表达框架”的叙述 (2)我们可以考虑“三个我”M 1、M2和MS分别对应以下活动(1)、(2)和(3)。(1)与可见的注意对象对话。(2)与心中的注意对象对话。(3)结合(1)和(2)构造一个新的对话。许多数学教育研究者都强调数学课上学生可以通过自己的努力创造数学概念和知识。它们都没有展示出学生可以自己构建数学概念和知识的方法。在本研究中，我们建立了一个满足以下条件的教与学过程的原则：（A）学生头脑中的三个自己的Ml、M2和M3能够构造课本上写的数学概念或知识。（B）学生能够利用“表达框架”将自己的思维与其他学生的思维结合起来。