2014 Fiscal Year Final Research Report
An experimental study on the development of the concept of proportion for the smooth connection of elementary school math and junior high school math
| Project/Area Number |
23501004
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Science education
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| Research Institution | Miyagi University of Education |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
YAMADA Haruki 宮城教育大学, 教育学部, 教授 (00092578)
NAKAMURA Takashi 山梨大学, 教育学研究科, 教授 (70303394)
NAKANO Hiroshi 弘前大学, 教育学部, 教授 (30400120)
ICHIKAWA Hiraku 山形大学, 地域教育文化学部, 准教授 (20624745)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Keywords | 比例的推論 / 比と比例式 / 比例 / 教授実験 / カリキュラム |
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| Outline of Final Research Achievements |
(1) A study meeting was held regularly by mathematicians,researchers of mathematics education,and incumbent teachers of mathematics for elementary school and secondary school,in which an instruction experiment program for proportional reasonig was constructed.
(2) From the results of the lessons in the fifth grade elementary school class,a transitional change was seen from the proportional reasonig of whole numbers multiple to the proportional reasonig of decimal multiple in the introduction of the rate of similar type of quantities.From the results of the lessons in the first grade junior high school class on the central angle of a fan shape and its area, it was observed that giving the ratio of different types of quantities as a hint and using the theorem that the ratio was equal when it was a proportional relation made it easier for students to solve the problem. It also helped them to notice a general proportional relation from a local proportional relation.
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| Free Research Field |
総合領域
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