Curriculum re-development of proof curriculum in lower secondary school mathematics based on constructive systematization of propositions

本研究的目的是从命题的建构性系统化的角度对初中数学证明课程进行再开发。为此，我们做了以下工作：■根据几何与空间的关系规定了必要的活动; ■在局部准空间中对演绎基本命题的普遍性进行了研究活动; ■在局部准空间中对演绎■建立了学生对局部准系统与其真实的世界之间关系的认知的理论层次。■通过实证方法理解学生对命题普遍性建立的认知的概念框架。

The aim of research is to re-develop proof curriculum of lower secondary school mathematics from the point of constructive systematization of propositions.The followings have done toward achieving this purpose.■Necessary activities based on the relationship between geometry and space were specified.■The aspects of investigative activity of universality of basic propositions for deduction in a local quasi-system were specified.■The theoretical levels of students' recognition on the relationship between a local quasi-system and their real world were developed.■The conceptual framework to understand students' recognition on the establishment of universality of propositions by empirical approaches.