On a Forming Process of a Model Theory on Fraction as School Mathematics; Focusing on a Textbooks Published from 1886 to 1904
| Project/Area Number |
17530645
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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 |
Education on school subjects and activities
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| Research Institution | Niigata University |
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Principal Investigator |
OKANO Tsutomu Niigata University, Institute of Humanities, Social Sciences and Education, Associate Professor (30233357)
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| Project Period (FY) |
2005 – 2007
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| Project Status |
Completed (Fiscal Year 2007)
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| Budget Amount *help |
¥1,650,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
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| Keywords | Arithmetic / Analyzing Textbooks / Textbook Authorization System / Fractions / School Mathematics / Primary Mathematics / Educational Contents / Textbooks / 算術教科書 / 明治検定期 / 教育内容構成原理 / 「理論流儀算術」 / 高等小学校 / 演算の意味 / 計算規則 / 除法 / 量と数 |
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| Research Abstract |
The aim of this study is to clarify the a forming process of a model theory on fraction as a content of school mathematics by analyzing textbooks published from 1886 to 1904, when the Japanese government carried out the textbook authorization system.
In this project, the investigator analyzed the arithmetical textbooks from following points of views.
(1) Components of curriculum on fractions and the order of these components;
(2) Relationship between the explanations on the properties of integral numbers and fractions;
(3) The way in which the definitions and meanings of fractions are taught;
(4) The way in which the properties and order of fractions are taught;
(5) The way in which the four arithmetical operations (addition, subtraction, multiplication and division)of fractions are taught;
(6) The way in which the algebraic properties of fraction are taught;
The years from 1886 to 1904 can be divided into two periods. The first period is from 1886 to 1900. This Period is characterized by a formation of a model theory on fractions as primary mathematics (from 1886 to 1894) and its partial changes (from 1894 to 1900). The second period is from 1900 to 1904. This period is characterized by a formation of a model theory of fractions as school mathematics.
In the report of this project, the investigator gave a focus on the first half of the first period (from 1886 to 1894), and the clarified the characteristics of a model theory of fraction as primary mathematics by analyzing textbooks published in this period
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Report
(4 results)
Research Products
(11 results)
