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A study on developing teaching startegy for enhancement of pupils' intuition into geometrical figures and their properties.

开发教学策略以增强学生对几何图形及其性质的直觉的研究。

基本信息

批准号：
04808047
负责人：
SHIMIZU Shizumi
金额：
$ 0.64万
依托单位：
University of Tsukuba
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1992
资助国家：
日本
起止时间：
1992 至 1994
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04808047/
关键词：
teaching of geometrical figures intuition thought experiment

项目摘要

Purposes of this study is as followings :(1) to develop teaching starategy for enhancement of pupils' intuition into geometrical figures and their properties.(2) to try out the teaching strategy, mentioned in (1), in some classes of lower secondary schools, and to evaluate its validity for improvement of teaching geometrical figures and their properties.We clarify some idea for enhancement of pupils' intuition into geometrical figures and properties with respect to two purposes above mentioned. Regarding the 1st purpose, we review litertures and do theoretical survey. Some strategies are developed as follows.(1) Nessecity of method mixed approach for constructing proofs, i.e.action proof, oral proof and formal proof.(2) Inductive approach proposed by G.Polya and consists of two typical activities ; suggestive contact & supporting contact, should be intoduced for productive activites.(3) Thought experiment proposed by E.Mach plays important role learning geometrical concepts nd constructing proofs.Regarding the 2nd purpose, we check and try out some computer technology media and read made softwares and simulation. These media have much availability for enhancement of pupils' intuition into geometrical figures and their properties in case of formulating new concepts and discovery of new properties.

本研究的目的是：（1）发展教学策略，以提高小学生对几何图形及其性质的直观认识。(2)在初中部分班级中试用（1）中提出的教学策略，评价其对改进几何图形及其性质教学的有效性，并从上述两个方面阐明了提高学生几何图形及其性质直观性的一些设想。关于第一个目的，我们回顾了文献，并进行了理论综述。一些战略制定如下。(1)证明的构造方法必须是混合方法，即动作证明、口头证明和形式证明。(2)波利亚提出的归纳法包括暗示接触和支持接触两种典型的活动，生产性活动应引入这两种活动。(3)Mach提出的思维实验对几何概念的学习和证明的构造起着重要的作用。关于第二个目的，我们检查和尝试了一些计算机技术媒体，阅读了制作的软件和模拟。这些媒体对于增强学生对几何图形及其性质的直觉，形成新概念和发现新性质具有很大的实用性。