BASIC STUDY FOR DEVELOPMENT OF SCHOOL MATHEMATICS CURRICULUM CORED MATHEMATICAL ACTIVITIES

本研究的目的是进一步阐明以数学活动为核心的学校数学课程的基本依据。首先，我们把两项活动定为做数学的核心活动。一个是创造/制作数学。另一个是使用/应用数学。这些激活必须经过适当的过程技能认证。所以，我们要根据数学内容来构造它们。例如，如何制作算法，如何使用方程，如何构造证明/解释等。我们根据研究框架在小学和初中尝试了几种实践。通过引入数学活动，我们得到了一些改善课堂教学的证据。教师需要使课堂教学结构化。我们试着介绍了四个阶段。第一阶段是抓住问题的关键点，提出解决问题的方法;第二阶段是自己解决问题，总结结果，在课堂上分享思想。第三是与同事和老师讨论答案、方法、想法等。最后，说明本课的结果。反映问题解决过程中的曲折过程，发现新问题，寻找更好的解决方案或方法，找出近期需要解决的新的研究问题，组织课堂教学活动。一是改进小学生数学活动的评价方法;二是为数学活动营造适宜的环境。

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.