Developing Teaching Materials for the Improvement of School Mathematics

开发提高学校数学的教材

• 批准号: 13680185
• 负责人: OHTA Shinya
• 金额: $ 1.73万
• 依托单位: Hirosaki University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13680185/
• 关键词: Mathematics Education; Development of Teaching Materials; Teacher-training; Mathematical Activities; Mathematical Model

The purpose of this study is to develop teaching materials for the improvement of school mathematics. The following case studies were practiced in secondary school classes, teacher-training programs, or teachers' workshops.1)Developing teaching materials that encourage mathematical activities for lower and upper secondary school students, especially focused on mathematical modeling activities For example,・Problem solving through modeling "the movement of the sun's rays as a circular cone", "the movement of shadow by the sun's rays as a conic section", and "solar eclipse"・Developing problems using a photograph, for example, "Find the height of the tree in the photograph.", "Find the place where the photograph was taken." These problems were introduced into descriptive geometry.・Developing a problem of the earthquake center. The problem of "Find the earthquake center using the distance from earthquake center to the given three points of the map" corresponds to the mathematical model of " … More Find the foot of the perpendicular drawn from the vertex of the triangular pyramid to the base".(2)Developing teaching materials for school mathematics focused on teacher training For example,・Teaching materials for mathematics teacher education. For example, "What is the locus of points in a plane that are the center of the circle tangent to two given circles?"・Case studies of teacher-training program. For example, "Using the problem of how to bisect the area of the figure", "A study of teaching proportion", "A study of teaching linear function".・Case studies of students' appreciation of mathematical modeling activities.(3)Astudy of"Mathematical models" and "12-hedron with congruent rhombic faces" using the text "Problems for Teacher Education(Kyoshi-no-tame-no-mondaishu)" written by SHIMADA Shigeru.Attention needs to be paid to the teaching of modeling so students expand the problem into then* mathematical world through mathematical modeling activities. It is essential for students to appreciate mathematical activities. Less

本研究的目的在于发展学校数学教材，以提高学校数学的教学质量。以下案例研究在中学课堂、教师培训计划或教师研讨会中进行了实践。1）开发鼓励初中和高中学生数学活动的教材，特别是侧重于数学建模活动。例如，·通过建模“太阳光线的运动为圆锥体”来解决问题，“阴影在太阳光线作用下的圆锥曲线运动”和“日食”·使用照片展开问题，例如，“找出照片中树的高度。“，“找到拍照的地方。“这些问题被引入画法几何。·研究地震中心的问题。“用震中到地图上给定三点的距离求震中”问题对应的数学模型是： ...更多信息 求从三棱锥的顶点到底边的垂线的底边”。（2）开发以教师培训为重点的学校数学教材。例如，“平面上与两个给定圆相切的圆心的点的轨迹是什么？“·教师培训方案的案例研究。例如，“如何平分图形面积的问题”，“教学比例的研究”，“教学线性函数的研究”。·学生欣赏数学建模活动的个案研究。（3）以岛田茂著的《教师教育问题》为教材，对“数学模型”和“全等菱形面的12面体”进行了研究。学生欣赏数学活动是必不可少的。少

项目成果

OHTA Shinya: "Devdoping Teaching Materials for Figures-Reconstructing the Problem that "Find the earthquake center using the distance from earthquake center to the given three points of the map""Journal of Japan Society of Mathematics Education(Supplement

太田真也：《图形教学材料的开发——重构“利用地震中心到地图上给定三点的距离求地震中心”的问题》《日本数学教育学会会刊》（增刊）

HANDA Susumu: "Providing Teaching Materials for the Introduction to the Mathematics Education in the Mathematics Teacher Training Program"The Annual Report of the Japanese Association for the Instructional Materials. Vol.13. 28-31 (2002)

HANDA Susumu：《为数学教师培训计划中的数学教育导论提供教材》日本教材协会年度报告。

太田伸也: "太陽の動きを追ってみると・・・"教育科学 数学教育,明治図書,2004.3. No.556. 10-15 (2004)

Shinya Ota：“跟随太阳的运动......”教育科学数学教育，明治东照，2004年3月。No.556.10-15（2004）

太田伸也: "太陽の動きを捉えるための数学的モデルを作る活動を通して空間図形の見方を広げる指導"日本数学教育学会誌. 第84巻第11号. 10-20 (2002)

Shinya Ota：“通过创建捕捉太阳运动的数学模型的活动来拓宽空间图形的视角”日本数学教育学会杂志，第 84 卷，第 11 期 10-20（2002 年）。 ）

太田伸也: "太陽の動きを追ってみると…"教育科学数学教育(明治図書). No.556. 10-15 (2004)

Shinya Ota：“跟随太阳的运动......”教育科学数学教育（明治东照）第556期（2004年）。