Abstract
This research is related to the group discussion method to promote the formation of the mathematical concept. Especially, this research applies the focus to the analysis and consideration of the lesson by the model of a mathematical concept as an empirical research. And the characteristics and validity of the lesson that it is conscious of the relations are examined. The main contents of this research are as follows. (1) About the group discussion method to promote the formation of the mathematical concept, it is examined from the point of view of the sociality and the relations, so the role of the teacher in the concept formation and the meaning of the group discussion method were discussed. (2) The frame of evaluation problem of the relations of the mathematical concept is built, we enforced the analysis of the relations of the mathematical concept of the child. (3) We enforced the experimental lesson by the model of the formation of the mathematical concept, we investigated an influence on the child by this lesson. (4) We examined the matter that this lesson promoted a solution of a problem of not only the contents being learned at present but also the contents which will be learned in the future. (5) We examined the matter that this lesson improved a solution of a problem of the child of the group of middle and low ranks.
