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POSSIBILITY AND SUBJECT MATTERS OF MATHEMATICAL EDUCATION ON THE STANDPOINT OF ETHNOGRAPHIC MATHEMATICS.

Research Project

Project/Area Number 06808021
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 教科教育
Research InstitutionAkita University

Principal Investigator

MINATO Saburo  Akita University, College of Education, Professor, 教育学部, 教授 (20042278)

Co-Investigator(Kenkyū-buntansha) ITAGAKI Yoshio  Miyagi University of Education, College of Education, Assistant Professor, 教育学部, 教授 (30006431)
KAMADA Tsugio  Akita University, College of Education, Professor, 教育学部, 助教授 (90185976)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1995: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1994: ¥400,000 (Direct Cost: ¥400,000)
KeywordsAnthropology / Ethnography / Mathematics / Mathematical Education / Junior High School / Subject Mattr / Street Mathematics / Ethnomathematics
Research Abstract

The concept of mathematical education on the standpoint of ethnomathematics (MESEM) was developed, applying the cocept of metamathematics without destruction of the frame work of the traditionally supported concept of mathematical education, and the possibility of locating MESEM on mathematical education was demonstrated under a slight extention of the concept of mathematical education.
In consideration of the practice of mathematics education, not only its possibility but also its necessity should be referred for clarifying the significance of MESEM.Then we examined the necessity of MESEM applying his theory of 'Western European mathematics as a cultural invader' by A.J.Bishop.
As for the developement of subject matters of MESEM,we obtained a subject matter '20-adic numeral system in the Mayan civilization' for mathematical activity of undergraduates inthe course of mathematics for elementary school teachers. The system was informed by a Mexican junior high school teacher who is studying in our graduate school for Teacher Training Student. For future developement of subject matters of the magic square, we were given valuable pieces of information on magic squares by a talented researcher in Akita. On the level of in-service teacher training, 'Soft Mathematics History of Beauty', in which the golden section was dealt with mathematically with the background of beauty in art, and 'Linear Equations and Euclidean Algorithm' were developed and introduced.
Although the subject matters developed are almost in the domain of European mathematics and the development has not been fully achieved the purpose of the research, which aims at introducing non-Western Mathematics into mathematics education, the subject matters developed are free from traditional systematic mathematics. The developement proves the possibility and significance of MESEM.The subject matters are changeable into those of school mathematics by suitable elaboration.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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