2013 Fiscal Year Final Research Report

Reconsideration of the Didactics of Mathematics Proposed by Hans Freudenthal

Research Project

Project/Area Number	22730686
Research Category	Grant-in-Aid for Young Scientists (B)
Allocation Type	Single-year Grants
Research Field	Education on school subjects and activities
Research Institution	Kanazawa University
Principal Investigator	ITOH Shinya 金沢大学, 学校教育系, 准教授 (10570434)
Project Period (FY)	2010-04-01 – 2013-03-31
Keywords	Hans Freudenthal / ハンス・フロイデンタール / 数学的活動 / 数学の活用 / 教授原理 / 追発明 / 数学化
Research Abstract	The aim of this study is to analyze and reconstruct the didactics of mathematics proposed by Hans Freudenthal in the 1960's and in the early 1970's. This study described the changing of German terms corresponding to the concept of "re-invention" from "Wiederentdeckung" to "Nacherfindung" and considered its significance. The meaning of "Wiederentdeckung", the didactical principle of "Nacherfindung" and concepts which have close relationship with the didactical principle was revealed. How Freudenthal's perceptions of mathematics and human being, the didactical principle and these concepts relate to each other was examined.