A Study on Children's Naive Conceptions in Mathematical and Scientific Understanding.

儿童在数学和科学理解方面的幼稚观念的研究。

• 批准号: 07458044
• 负责人: FUJII Toshiakira
• 金额: $ 4.22万
• 依托单位: Yamanashi University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1997
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07458044/
• 关键词: Naive Conception; Mathematical understanding; Misconception; Scientific Concept

The study aims to clarify children's naive conceptions of mathematical and scientific learning. Beside theoretical consideration, the concept of Yusaburi, the Conflict Approach in mathematics education have been studied through analyzing concrete examples. Then the implications for teaching mathematics in school are considered.Beside identifying many actual naive conceptions held by children in learning mathematics and science, the most significant result of this project is that we create an appropriate methodology to elicit children's naive conceptions.Also, we create the method that we could use children's naive conceptions to foster their scientific understanding in whole class lesson activity. In mathematics education, focusing on algebraic expressions, the naive conception is identified that the children's difficulty in considering compound algebraic expressions as single objects.We need to inquire further into children's naive conceptions, in particular children's behavior identified as the compartmentalization in mathematical understanding.

本研究旨在澄清儿童对数学和科学学习的朴素概念。在理论思考的基础上，通过具体的实例分析，对数学教育中的“由三折”概念、“冲突教学法”进行了研究。本研究除了发现儿童在学习数学与科学时所持有的许多幼稚概念外，最重要的结果是我们创造了一套适当的方法来引发儿童的幼稚概念，并创造了一套利用儿童的幼稚概念在整堂课活动中培养他们的科学理解的方法。在数学教育中，以代数式为中心的"幼稚概念“被认为是儿童难以将复合代数式视为单一对象的问题，我们需要进一步探讨儿童的幼稚概念，特别是儿童在数学理解中的”划分“行为。

项目成果

藤井斉亮: "子供の数詞の理解について(1)-和語系数詞・漢語系数詞に焦点をあてて-" 日本数学教育学会誌. 77. 2-9 (1995)

藤井斋介：《关于儿童对数字词的理解（一）——以日语数字词和汉语数字词为中心——》日本数学教育学会杂志77. 2-9（1995）。