Practical Research on Improving Primary School Mathematics Lessons Based on the Two-Axes Process Model of Understanding Mathematics
基于理解数学二轴过程模型的小学数学教学实践研究
基本信息
- 批准号:16530591
- 负责人:
- 金额:$ 1.86万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (C)
- 财政年份:2004
- 资助国家:日本
- 起止时间:2004 至 2006
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
As a result of this research, the followings are found out. First, the "two axes process model" of understanding mathematics can be embodied and used for improving primary school mathematics lessons as the teaching and learning mathematics in a classroom by analyzing mathematics curriculum and teaching materials. Second, we can identify and refine the three principles and three methods for designing lessons based on the "two-axes process model" of understanding mathematics;Principle 1 [Understanding mathematics as a complex and dynamic process], Principle 2 [Setting up hierarchical levels and learning stages], Principle 3 [Emphasizing both activities of individual and social construction], Method 1 [Clarifying hierarchical levels of understanding], Method 2 [Assessing students' level of understanding], and Method 3 [Embodying learning stages]. Third, these principles and methods are used as effective guidelines for a teacher when he/she improving mathematics lessons in order to deepen his/her students' understanding of mathematical concepts, properties and relations through the long-going and intensive "lessen study" with teachers in a school. Fourth, the "two axes process model" of understanding mathematics and its principles and methods can be applicable in pre-service teacher training and in-service teacher education at primary school level for improving their mathematics lessons.
根据本研究的结果,发现以下内容。首先,通过对数学课程和教材的分析,理解数学的“双轴过程模型”可以体现并用于改进小学数学课程,即课堂上的数学教与学。其次,我们可以根据理解数学的“双轴过程模型”,识别并提炼出设计课程的三个原则和三种方法:原则一【理解数学是一个复杂的动态过程】、原则二【设置层次层次和学习阶段】、原则三【强调个体和社会建构活动】、方法一【明确理解的层次层次】、方法二【评估学生的理解水平】、 方法三【体现学习阶段】。第三,这些原则和方法可以作为教师改进数学课程的有效指导,通过与学校教师长期深入的“课后学习”,加深学生对数学概念、性质和关系的理解。第四,理解数学的“双轴过程模型”及其原理和方法可应用于小学职前教师培训和在职教师教育,以提高小学数学课程的水平。
项目成果
期刊论文数量(26)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Research on the Process of Understanding in Learning Mathematics (I)
数学学习理解过程研究(一)
- DOI:
- 发表时间:2006
- 期刊:
- 影响因子:0
- 作者:岸 啓子;城戸 透;岸 啓子;岸 啓子;岸 啓子(分担執筆);YOSHIKAWA Yukio;吉川幸男;吉川幸男;山元隆春;Takaharu Yamamoto;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;Takaharu Yamamoto;山元隆春;小山 正孝;小山 正孝;Masataka KOYAMA;Masataka KOYAMA
- 通讯作者:Masataka KOYAMA
Trends and Prospects in Curriculum Research and Development : Recent Trends and Prospects in the Research on Mathematics Education in Japan
课程研究与开发的动向与展望:日本数学教育研究的最新动向与展望
- DOI:
- 发表时间:2005
- 期刊:
- 影响因子:0
- 作者:Koyama;Masataka;Masataka KOYAMA
- 通讯作者:Masataka KOYAMA
Principles and Methods for Designing Mathematics Lessons Based on the Two-Axes Process Model of Understanding Mathematics
基于理解数学二轴过程模型的数学课程设计原则与方法
- DOI:
- 发表时间:2006
- 期刊:
- 影响因子:0
- 作者:岸 啓子;城戸 透;岸 啓子;岸 啓子;岸 啓子(分担執筆);YOSHIKAWA Yukio;吉川幸男;吉川幸男;山元隆春;Takaharu Yamamoto;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;Takaharu Yamamoto;山元隆春;小山 正孝;小山 正孝;Masataka KOYAMA
- 通讯作者:Masataka KOYAMA
数学理解の2軸過程モデルに基づく授業構成の原理と方法
基于数学理解二轴过程模型的课程结构原理与方法
- DOI:
- 发表时间:2006
- 期刊:
- 影响因子:0
- 作者:岸 啓子;城戸 透;岸 啓子;岸 啓子;岸 啓子(分担執筆);YOSHIKAWA Yukio;吉川幸男;吉川幸男;山元隆春;Takaharu Yamamoto;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;Takaharu Yamamoto;山元隆春;小山 正孝
- 通讯作者:小山 正孝
教科教育学の研究動向と展望-日本の数学教育学における近年の研究動向と展望-
学科教育学的研究动向与展望 - 日本数学教育学的最新研究动向与展望 -
- DOI:
- 发表时间:2005
- 期刊:
- 影响因子:0
- 作者:岸 啓子;城戸 透;岸 啓子;岸 啓子;岸 啓子(分担執筆);YOSHIKAWA Yukio;吉川幸男;吉川幸男;山元隆春;Takaharu Yamamoto;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;山元隆春;Takaharu Yamamoto;山元隆春;小山 正孝;小山 正孝;Masataka KOYAMA;Masataka KOYAMA;小山 正孝;小山 正孝
- 通讯作者:小山 正孝
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KOYAMA Masataka其他文献
The Continuous Research on Mathematical Attainment at Primary School Level (II) : Analysis on the Two-year's Mathematical Progress of Two Cohort Children
小学数学素养的持续研究(二):二年级儿童两年数学进步情况分析
- DOI:
- 发表时间:
2003 - 期刊:
- 影响因子:0
- 作者:
児玉 忠;清水紀宏;SHIMIZU Norihiro;清水紀宏;飯田慎司;IIDA Shinji;山口武志;清水紀宏;SHIMIZU Norihiro;飯田慎司;小山正孝;KOYAMA Masataka - 通讯作者:
KOYAMA Masataka
The Continuous Research on Mathematical Attainment at Primary School Level (VI) : Comparative Study on Mathematical Progress of First Cohort Children at Higher Grades
小学数学素养的持续研究(六):高年级第一批孩子数学进步的比较研究
- DOI:
- 发表时间:
- 期刊:
- 影响因子:0
- 作者:
児玉 忠;清水紀宏;SHIMIZU Norihiro;清水紀宏;飯田慎司;IIDA Shinji;山口武志;清水紀宏;SHIMIZU Norihiro;飯田慎司;小山正孝;KOYAMA Masataka;飯田慎司;IIDA Shinji - 通讯作者:
IIDA Shinji
算数達成度に関する継続的調査研究(VI)-第6学年終了時の達成度に関する比較教育的検討-
数学成绩水平的继续研究(六)——六年级末成绩水平的比较教育研究——
- DOI:
- 发表时间:
- 期刊:
- 影响因子:0
- 作者:
児玉 忠;清水紀宏;SHIMIZU Norihiro;清水紀宏;飯田慎司;IIDA Shinji;山口武志;清水紀宏;SHIMIZU Norihiro;飯田慎司;小山正孝;KOYAMA Masataka;飯田慎司 - 通讯作者:
飯田慎司
KOYAMA Masataka的其他文献
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{{ truncateString('KOYAMA Masataka', 18)}}的其他基金
Developmental Research on Integration of Research on Mathematical Understanding and Mathematics Lesson Study for Improvement in Quality of Secondary Education
数学理解研究与数学课学结合提高中等教育质量的发展研究
- 批准号:
18H01016 - 财政年份:2018
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
PRACTICAL RESEARCH ON SYSTEM FOR IMPROVING LESSONS THROUGH LESSONSTUDY IN PRIMARY SCHOOL MATHEMATICS EDUCATION
小学数学教育课学改进体系的实践研究
- 批准号:
22530978 - 财政年份:2010
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
PRACTICAL RESEARCH ON IMPROVING SECONDARY SCHOOL MATHEMATICS LESSONS BASED ON THE TWO-AXES PROCESS MODEL OF UNDERSTANDING MATHEMATICS
基于理解数学二轴过程模型的中学数学教学实践研究
- 批准号:
19530816 - 财政年份:2007
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Research on Designing Lessons Based on the "Two-Axes Process Model" of Understanding Mathematics
基于理解数学“双轴过程模型”的课程设计研究
- 批准号:
13680306 - 财政年份:2001
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Research on the validity and Effectiveness of Two-Axes Process Model of Understanding Mathematics
理解数学二轴过程模型的有效性和有效性研究
- 批准号:
10680277 - 财政年份:1998
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
相似海外基金
PRACTICAL RESEARCH ON IMPROVING SECONDARY SCHOOL MATHEMATICS LESSONS BASED ON THE TWO-AXES PROCESS MODEL OF UNDERSTANDING MATHEMATICS
基于理解数学二轴过程模型的中学数学教学实践研究
- 批准号:
19530816 - 财政年份:2007
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Research on Designing Lessons Based on the "Two-Axes Process Model" of Understanding Mathematics
基于理解数学“双轴过程模型”的课程设计研究
- 批准号:
13680306 - 财政年份:2001
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Research on the validity and Effectiveness of Two-Axes Process Model of Understanding Mathematics
理解数学二轴过程模型的有效性和有效性研究
- 批准号:
10680277 - 财政年份:1998
- 资助金额:
$ 1.86万 - 项目类别:
Grant-in-Aid for Scientific Research (C)