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2004 Fiscal Year Final Research Report Summary

The supplemental lesson teaching material is high-school and college students' understandings and skills in elementary algebra

Research Project

Project/Area Number 15530417
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Educational psychology
Research InstitutionTohoku University

Principal Investigator

ONODERA Toshiyuki  Tohoku University, Graduate School of Education, professor, 大学院・教育学研究科, 教授 (30109623)

Project Period (FY) 2003 – 2004
Keywordshigh school student / college student / mathematics learning / literal expression / conceptual bug / teaching-learning strategy
Research Abstract

Two-hundred and sixty college students were tested about their understandings and skills in algebra of junior high school level. The analysis of their answer scripts revealed that they had an conceptual bug, or implicit knowledge about literal expression. About 60% of the college students expressed"sum of an odd number and another odd number"as (2n+1)+(2n+1), while the correct one being (2m+l)+(2n+l) or the like.
One teaching-learning strategy were proposed against the conceptual bug : rewriting the problem into the version with a more concrete cover story.
The effectiveness of this strategy was suggested by the result of a pretest-treatment-posttest designed experiment, where high school students learned the rewritten version (as the treatment, and the original version(as an control) of the problem.

URL: 

Published: 2006-07-11  

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