著者

中原 忠男

出版者

公益社団法人 日本数学教育学会

雑誌

日本数学教育学会誌 (ISSN:0021471X)

巻号頁・発行日

vol.82, no.7-8, pp.48, 2000-07-01 (Released:2021-04-01)

著者

中原 忠男 小山 正孝 山口 武志 入川 義克 後藤 俊秀 中野 俊幸 村上 和男 釜木 一行

出版者

広島大学教育学部学部附属共同研究体制

雑誌

研究紀要 /広島大学教育学部学部附属共同研究体制 (ISSN:03857654)

巻号頁・発行日

no.22, pp.111-115, 1993-04-20

著者

中原 忠男

出版者

公益社団法人 日本数学教育学会

雑誌

日本数学教育学会誌 (ISSN:0021471X)

巻号頁・発行日

vol.77, no.6-7, pp.104-107, 1995-06-01 (Released:2021-04-01)

著者

中原 忠男 前田 一誠 山口 武志 岡崎 正和 影山 和也

出版者

環太平洋大学

雑誌

環太平洋大学研究紀要 = Bulletin of International Pacific University (ISSN:1882479X)

巻号頁・発行日

vol.12, pp.237-249, 2018-03-21

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While division is one of the crucial concepts in elementary mathematics, it is hard to understand it. Thus, various research tasks have been tackled so far. We as a research team have investigated the following three tasks: 1) developing the survey which consists of a set of problems that enable to clarify the actual conditions of children’s construction of division concepts comprehensively and systematically, 2) revealing the actual conditions of children’s construction of division concepts based on the survey, and raising the research tasks on the teaching and learning of division, and 3) through examining those research tasks, proposing our alternatives for improving the teaching and learning of division concepts based on multi-world paradigm. In this paper we propose our final research findings by reflecting on our whole studies until now in a comprehensive way according to the following three steps. First, we give a general description of the perspective of multi-world paradigm as our theoretical background. Next, we overview our research results on the above 1) and 2) which have already been published. Finally we examine our alternatives for improving the teaching and learning based on the multi-world paradigm, which will become our final research findings, where we will emphasize the importance of meaningconstruction and tool-construction on division concepts.

著者

羽生 義正 中原 忠男 加藤 泰彦 稲垣 成哲 飯田 慎司 吉田 甫 庄井 良信 越智 貢

出版者

一般社団法人 日本教育心理学会

雑誌

日本教育心理学会総会発表論文集 第39回総会発表論文集 (ISSN:21895538)

巻号頁・発行日

pp.S28, 1997-09-24 (Released:2017-03-30)

著者

中原 忠男

出版者

公益社団法人 日本数学教育学会

雑誌

日本数学教育学会誌 (ISSN:0021471X)

巻号頁・発行日

vol.76, no.11, pp.2, 1994 (Released:2021-04-01)

被引用文献数

1

著者

山口 武志 影山 和也 中原 忠男 岡崎 正和 前田 一誠

出版者

全国数学教育学会

雑誌

数学教育学研究 : 全国数学教育学会誌 (ISSN:13412620)

巻号頁・発行日

vol.23, no.1, pp.1-20, 2017-01-27 (Released:2019-01-17)

参考文献数

20

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It is still very difficult for children to understand the meaning of division although various efforts for the improvement of teaching division have been implemented. Therefore overall researches which both capture difficulties and misconceptions of various kinds of division systematically and propose better way of teaching and learning of it to overcome them are required. From this perspective, as the first step of our research, we developed six sets of test of division, for fifth and sixth graders in the elementary school and first graders in the junior high school, which could reveal difficulties of understanding the meaning of division systematically. In six sets of test, various factors of story problems of division which will be expected to affect the percentage of correct answers, such as effect of the order or value of the dividend and the divisor, effect of figures, number lines, word expressions, key words and so on, were taken into account. It is the main reason for us to develop new tests why most of previous test or studies of division only focused on specific grade or specific kind of division such as division with fractions which children have difficulties. We conducted the longitudinal and cross-sectional survey with six tests for children at both elementary schools and junior high schools located in three prefectures: Okayama, Hiroshima and Kagoshima. This article reported results of children’s performance of solving problems of “partitive division and the extension of its meaning”, and analyzed children’s difficulties and misconceptions of them in terms of various factors of story problems of division.

著者

中原 忠男

出版者

公益社団法人 日本数学教育学会

雑誌

日本数学教育学会誌 (ISSN:0021471X)

巻号頁・発行日

vol.93, no.9, pp.41, 2011 (Released:2021-04-01)

著者

中原忠男編集

出版者

明治図書出版

巻号頁・発行日

2000

著者

中原 忠男

出版者

ぎょうせい

雑誌

中等教育資料 (ISSN:04484517)

巻号頁・発行日

vol.57, no.8, pp.34-39, 2008-08