2005 Fiscal Year Final Research Report Summary
MATHEMATICS LESSON ON THE BASIS OF THINKING ACTIVITY THAT DOES NOT RELY ON MATHEMATICAL LANGUAGE
| Project/Area Number |
15500581
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Science education
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| Research Institution | UNIVERSITY OF FUKUI |
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Principal Investigator |
YANAGIMOTO Shigekazu University of Fukui, Department of Education and Regional Science, Professor, 教育地域科学部, 教授 (20042971)
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| Co-Investigator(Kenkyū-buntansha) |
IKEDA Toshikazu Yokohama National University, Education Human Being Science Department, Assistant Professor, 教育人間科学部, 助教授 (70212777)
YANAGIMOTO Shigekazu University of Fukui, Department of Education and Regional Science, Professor (20042971)
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| Project Period (FY) |
2003 – 2005
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| Keywords | lesson principle / three myself / expression frame of reasoning / joint thinking / under-prepared student / over-prepared student / geometry learning / information diagram |
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| Research Abstract |
Advanced students are bored in the logic composition activities of the students who tend to be behind. On the contrary, in advanced students' logic composition activities, the students who tend to be behind cannot promote their logic composition activities. This is one of the problems with the most difficult solution which hang around the lesson of the mathematics for students with individual difference. In order to solve this difficult problem, establishment of the mathematical lesson principle which permits the difference of broad degree of achievement is indispensable. For that purpose, it is indispensable that the concrete lesson principle which permits the difference of broad degree of achievement is shown.
For some time, the researcher of study of instruction has been pointing out the following. "Children's logic composition activities in a mathematical lesson are the same activities as qualitatively as a mathematician's logic composition activities." Moreover, H.Freudenthal raised "Major problem of mathematics education" the following meanings in 1980.
Problem : Show a principle of lesson in which the students construct mathematical proposition and its proof by their own efforts.
A main research result this year is that we raised the mathematical lesson principle which satisfies the following (1) and (2) which used the thinking activities independent of mathematical language as the base.
(1) It is the lesson principle for which "Major Problems of Mathematics Education" asks.
(2) The lesson can permit the difference of students' broad degree of achievement.
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Research Products
(10 results)
