Developing Teaching Materials for the Improvement of School Mathematics

本研究的目的是为了开发教学材料，以提高学校数学的质量。以下案例研究已在中学类、教师培训方案或教师' workshops.1）开发用于低年级和上年级学校学生的数学活动的教学材料，特别关注数学建模活动的示例，·解决问题通过建模“的运动的太阳射线作为一个圆圈”，“the movement of shadow by the sun's rays as a conic section”、“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.”“这些问题是引入到描述性几何学中的。”解决地震中心的一个问题。“从earthquake center到given three points of the map”“corresponds to the mathematical model of”“从earthquake center to the given three point of the map” ... More “从vertex of the triangular？ramid to the base”。（2）for school mathematics focused on teacher training For example，·Teaching materials for mathematics teacher education。例如，“平面上的点位置是什么，它是一个圆圈切线到两个圆圈的中心？”“Case studies of teacher-traManagement program。例如，“使用该问题的方法来解决该数字的区域”、“教学比例研究”和“教学线性功能研究”。“学生对数学建模活动的赞赏”个案研究。（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？MADA Shigeru。Attention needs to be paid to the teaching of modeling so students expand the proManagement into then* mathematical wor #through mathematical modeling activities。这是学生欣赏数学活动的必备条件。Less（低）

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