RESEARCH ON CURRICULUM DEVELOPMENT OF FIGURES AND SPACE FROM THE VIEWPOINT CULTIVATING SPATIAL THINKING IN MATHEMATICS EDUCATION

从数学教育中培养空间思维的角度进行数字与空间课程开发研究

• 批准号: 15500587
• 负责人: HAZAMA Setsuko
• 金额: $ 1.73万
• 依托单位: Osaka Kyoiku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2003
• 资助国家: 日本
• 起止时间: 2003 至 2004
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15500587/
• 关键词: CURRICULUM OF FIGURES AND SPACE; PUPILS' DEVELOPMENT OF SPATIAL THINKING; MENTAL OPERATIONS OF SPATIAL IMAGES; REPRESENTAITIONS AND THEIR TRANSFORMATION; VISUALIZATION; 表現と表現間に変換; 数学教育; 空間思考; 空間的心像の形成と操作; 数学的活動; 空間図形の図表現

Our results of the research are as follows.1.We analyzed characteristics of pupils' development of spatial thinking from four viewpoints : spatial images, their mental operations, representations and their transformations, and basis of reasoning.2.On the base of the characteristics of pupils' development of spatial thinking we constructed curriculum of figures and space for elementary, lower secondary and upper secondary schools according to the following plan.(1)The curriculum is constructed of a frame of mathematical content and a frame of mathematical activities cultivating spatial thinking. Latter frame is composed of operational activities, representations and their transformation, enrichment activities and bases of reasoning.(2)Enrichment activities aim to apply spatial thinking to concrete phenomena, plays, arts or computer graphics, etc.3.The curriculum is characterized as follows.(1)The mathematical operations of projection, section of solid, developing of solids, etc. are developed spirally in elementary, lower secondary and upper secondary schools levels.(2)Representations and transformations between them are attached importance in order to cultivate spatial mental image and mental operations.(3)Content and activities on sphere and spherical surface are enriched, for example, figures on the spherical surface in lower secondary and an elementary spherical surface in upper secondary schools.(4)Activities on poly-cube is used effectively, for example, construct of poly-cube, its drawing, volume and idea of dimension in elementary school level.4.We showed teaching-learning practices in elementary, lower secondary and upper secondary schools on some content and activities in the curriculum.

我们的研究结果如下。1。我们分析了学生从四个观点开发空间思维的特征：空间图像，他们的心理操作，表征及其转变以及推理的基础。2.在特征的基础上根据以下计划，我们构建了小学，下中学和上中学的图形和空间的课程。思维。后一个框架由运营活动，表征及其转型，丰富活动和推理的基础组成。（2）富集活动旨在将空间思维应用于具体现象，戏剧，艺术或计算机图形等。课程的特征是（1）投影的数学操作，固体部分，固体的开发等在小学，下中学和上中学级别上螺旋开发。（2）它们之间的表示和转换非常重要，以便培养（3）在球体和球形表面上的内容和活动丰富，例如，下中学的下次级和基本球面的球形表面上的数字。（4）多立方体的活动有效地使用了小学级别的绘图，数量和尺寸的构造，例如，在小学级别。课程。

项目成果

橋本是浩: "図形指導における小・中学校の独自性と関連性"日本数学教育学会第36回数学教育論文発表会「課題別分科会」発表. (2003)

桥本惟宏：“小学和初中几何教学的独特性和相关性”在日本数学教育学会“主题小组委员会”第 36 届数学教育论文发表会上的演讲（2003 年）。

赤井利行: "図形教材の実践的系統化"日本数学教育学会第36回数学教育論文発表会「課題別分科会」発表収録. 128-131 (2003)

赤井俊之：《几何教材的实用系统化》收录于日本数学教育学会第 36 届数学教育论文展示，“主题小组委员会”演讲 128-131 (2003)。

空間思考の育成の視座からの図形・空間カリキュラム開発研究構想

培养空间思维视角下的几何与空间课程开发研究理念

• 发表时间: 2004
• 期刊: 大阪教育大学教科教育学研究会・教科教育論集 3号
• 作者: 狭間節子

数学教育再構成運動による文部省検定教科書「数学 高等女学校用」を見る(1)

参见数学教育改制运动教育部认证教材《女中数学》（1）

• 发表时间: 2004
• 期刊: 大阪数学教育会・会誌 28号
• 作者: 狭間節子;橋本是浩
• 通讯作者: 橋本是浩

RESEARCH ON PUPILS' DEVELOPMENT OF SPATIAL THINKING.

学生空间思维发展的研究。

• 发表时间: 2003
• 期刊: JOURNAL of OSAKA SOCIETY of MATHEMATICAL EDUCAITION No.27
• 作者: SETSUKO HAZAMA;YOSHIHIRO HASHIMOTO;OTHERS
• 通讯作者: OTHERS