BASIC STUDY FOR DEVELOPMENT OF SCHOOL MATHEMATICS CURRICULUM CORED MATHEMATICAL ACTIVITIES

本研究的目的在于阐明以数学活动为核心的学校数学课程的基本依据。首先，我们将两个活动作为做数学的核心活动。一个是创造数学。另一个是使用/应用数学。这些活动必须有合适的工艺技能支持。因此，我们讨论了如何根据数学内容来构建它们。例如，如何制作算法，如何使用方程，如何构建证明/解释等。根据研究框架，我们在小学和初中尝试了几种实践。我们得到了一些通过引入数学活动来改善课堂教学的证据。教师组织课堂教学是必要的。我们试图引入四个阶段。第一个阶段是抓住问题的关键点，制定解决问题的方案。第二阶段是自己解决问题，总结结果，进行课堂分享。三是讨论答案、方法、思路等。与同事和老师。最后，明确了本课的学习成果。并反映问题解决过程中发现新问题和寻找更好的解决方案或方法的过程。在课堂教学中组织数学活动，找出了近期需要解决的新的研究问题。一是发展评价小学生数学活动的方法。二是明确和发展适合数学活动的环境。

OBJECTIVES OF THIS STUDY ARE CLARIFYING THE FUNDAMENTAL BASIS OF SCHOOL MATHEMATICS CURRICULUM CORED WITH MATHEMATICAL ACTIVITIES. AT FIRST, WE SET TOW ACTIVITIES AS THE CORE ACTIVITIES OF DOING MATHEMATICS. ONE IS CREATING/MAKING MATHEMATICS. THE OTHER IS USING/APPLYING MATHEMATICS. THESE ACTIVATES MUST BE SUPPORTED SUITABLE PROCESS SKILLS. SO, WE DISCUSS HOW TO CONSTRUCT THEM ACCORDING TO MATHEMATICAL CONTENTS. FOR EXAMPLE, HOW TO MAKE ALGORITHM, TO USE EQUATIONS, TO CONSTRUCT PROOF/EXPLANATION, ETC.WE TRIED SEVERAL PRACTICES AT ELEMENTARY AND JUNIOR SECONDARY SCHOOLS ACCORDING TO THE RESEARCH FRAMEWORK. WE GOT SOME EVIDENCE TO IMPROVE CLASSROOM LESSON BY INTRODUCING MATHEMATICAL ACTIVITIES. IT IS NEEDED THAT TEACHERS STRUCTURALIZE THE CLASSROOM LESSON. WE TRIED TO INTRODUCED FOUR STAGES. FIRST STAGE IS GRASPING THE CRITICAL POINTS OF THE PROBLEM AND DEVELOPING THE PLAN TO SOLVE IT. SECOND STAGE IS SOLVING PROBLEMS BY ONESELF AND SUMMING UP THE RESULTS FOR SHARING THE IDEAS IN CLASSROOM. THIRD IS DISCUSSING THE ANSWERS, METHODS, IDEAS, ETC. WITH COLLEAGUES AND TEACHER. FINALLY, THE OUTCOME OF LESSON IS CLARIFIED. AND REFLECT THE PROCESSES OF PROBLEM SOLVING PROCESS FOR FINDING THE NEW PROBLEMS AND LOOKING FOR BETTER SOLUTIONS OR APPROACHES.WE FIND OUT THE NEW RESEARCH PROBLEMS TO BE SOLVED IN THE NEAR FUTURE TO ORGANIZE MATHEMATICAL ACTIVITIES IN CLASSROOM LESSON. ONE IS TO DEVELOP THE METHOD FOR EVALUATING THE PUPILS' MATHEMATICAL ACTIVITIES. THE OTHER IS TO CLARIFY AND DEVELOP THE SUITABLE ENVIRONMENT FOR MATHEMATICAL ACTIVITIES.