Research on the validity and Effectiveness of TwoAxes Process Model of Understanding Mathematics
Project/Area Number  10680277 
Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Singleyear Grants 
Section  一般 
Research Field 
教科教育

Research Institution  Hiroshima University 
Principal Investigator 
KOYAMA Masataka Hiroshima University, Faculty of Education, Associate Professor, 教育学部, 助教授 (30186837)

Project Period (FY) 
1998 – 1999

Project Status 
Completed(Fiscal Year 1999)

Budget Amount *help 
¥1,700,000 (Direct Cost : ¥1,700,000)
Fiscal Year 1999 : ¥900,000 (Direct Cost : ¥900,000)
Fiscal Year 1998 : ¥800,000 (Direct Cost : ¥800,000)

Keywords  Understanding Mathematics / TwoAxes Process Model / Validity / Effectiveness / Practical Research / Mathematics Classes / 算数・数学 / 授業 
Research Abstract 
As a result of this research, we find out the followings. First, we can exemplify the validity and effectiveness of the "twoaxes process model" of understanding mathematics by the case study of the elementary school mathematics class. Second, we might be able to characterize such a teaching and learning of mathematics that enables children to understand mathematics deeply and in their meaningful way as the dialectic process of children's individual and social constructions in their classroom. In order to realize such mathematics classroom, it is suggested that a teacher should make a plan of teaching and learning mathematics in the light of "twoaxes process model", and embody it with teaching materials of a topic in due consideration both of the objectives and the actual state of children. The teacher also should play a role as a facilitator for the dialectic process of individual and social constructions through a discussion with children and among them. There are two important features of teacher's role in the process of teaching and learning mathematics. The one is related to children's individual construction and it is to set the problematic situation where children are able to have their own learning tasks and encourage them to have various mathematical ideas and ways individually. The other is related to children's social construction and it is to encourage and allow them to explain, share and discuss their various mathematical ideas and ways socially in the classroom.

Report
(3results)
Research Output
(7results)