Constructivism And Teaching Of Mathematics Concept

Constructivism is a new and noticeable theory in the field of mathematics education in recent years. It has a deeply theoretical and practical sense on mathematics education because of its essential analysis to the process of cognition. This thesis attempts to research the instructional design of mathematics abstract concept in view of Constructivism. The schema of mathematics concept is a whole of mental representation which people builds up. So, it is important to research its structure and how to instruct students to construct clear and comprehensive mental representation in order to understand and master the concept. At last, the author mentioned her own idea which based on the analysis of several examples.This article includes four parts:Part 1 makes a brief introduction of Constructivism and interprets the viewpoint on learning and teaching in view of it;Part 2 analyses the structure of mental representation of mathematics concept and troubles which students usually meet;Part 3 elaborates the different way to obtain mathematics concept in initial stage and deepening stage;Part 4 ,at first, elaborates how to instruct the students to construct correct mental representation in view of Constructivism, then illustrates how to engage in concrete practice on the teaching of mathematics concept by means of an example(the teaching of Reasonable Number).