A developmental study on teaching materials concerning connection between high school mathematics and college mathematics

高中数学与大学数学衔接教材的开发研究

• 批准号: 58880032
• 负责人: SHIMADA Shigeru
• 金额: $ 5.44万
• 依托单位: Tokyo University of Science
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Developmental Scientific Research
• 财政年份: 1983
• 资助国家: 日本
• 起止时间: 1983 至 1985
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-58880032/
• 关键词: Mathematics Education; College Education; High School Education; Module material; マイクロコンピュータ

At present, there are gaps between mathematics courses in colleges and those in senior high schools, result of which makes it defficult for college students to follow mathematics courses smoothly. This project started for the purpose of providing such supplementary "module materials" for those students that may help them to overcome the above-mentioned difficulty by studying the materials by themselves.On the other hand, the two research projects on mathematics education in senior high school, one headed by Prof. Fujita, the other by Prof. Terada, developed a new idea for mathematics curriculum making, called "core-option modules" curriculum. This curriculum is composed of two parts, one being the core part which should be learned by all students, and the other being optional parts which are arranged separately content by content in a form of learning module. By combination of the core and option modules diversity of students would be coped with.The module materials intended by this project is essentially same as those option modules for learning to make the core parts more enriched or advanced. At the same time, those freshmen who failed to learn some topics in their senior high schools may study the topics by themselves individually by using these modules.In order to realize the above idea, a series of topis was selected after a survey by questionaire to inservice teachers and discussion among the project members, and the outlines of modules were drawn for the following four among the selected topics.1. Properties of integer2. Exponential and logarithmic functions3. Figures and equations4. Differentiation and integrationIn draftion the outline, the two principles were emphasized, namely, to help intuitive and or inductive understanding by rich numerical experiments and dynamic graphic representation with active use of calculator and microcomputer, and to have a coherent story throughout one module.

目前，大学数学课程与高中数学课程存在差距，导致大学生很难顺利学习数学课程。这个项目的启动就是为了给那些学生提供这样的补充性“模块材料”，帮助他们通过自学来克服上述困难。 另一方面，藤田教授和寺田教授领导的两个高中数学教育研究项目提出了数学课程制作的新思路，称为“核心选项模块”课程。本课程由两部分组成，一部分为核心部分，所有学生都应学习，另一部分为选修部分，以学习模块的形式逐项安排。通过核心模块和选修模块的结合，可以应对学生的多样性。本项目的模块材料与学习的选修模块基本相同，使核心部分更加丰富或先进。同时，那些在高中没学过某些主题的新生也可以利用这些模块进行单独学习。为了实现上述想法，通过对在职教师的问卷调查和项目成员的讨论，筛选出一系列主题，并针对所选主题中的以下四个主题绘制了模块概要： 1．整数的属性2。指数函数和对数函数3。数字和方程4。区分与整合 在起草大纲时，强调了两个原则，即通过丰富的数值实验和动态图形表示，积极使用计算器和微型计算机来帮助直观和/或归纳理解，并在整个模块中具有连贯的故事。