An Espistemology of Dynamic Geometry
动态几何认识论
基本信息
- 批准号:9453864
- 负责人:
- 金额:$ 60.29万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:1995
- 资助国家:美国
- 起止时间:1995-04-01 至 1999-09-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
To understand how students constructs mathematical ideas in "Dynamic Geometry" environments (tools like Geometer's Sketchpad and Cabri), one needs clear characterizations of : (1) the mathematical "raw materials" embodied in the software and (2) how students use these "raw materials." What are the mathematical objects and allowable transformations? Which do they notice and attend to? How do they interpret what they notice? Through interviews with developers, and through our won analyses, we will investigate the tools' mathematical and pedagogical potential. Experiments and clinical interviews with students well lead to a preliminary epistemology of concepts related to the defining feature of this software: dynamic "dragging." focussed experiments will then reexamine these results and hone them, to derive implications for learning and teaching, and for the design of materials. Thus the project will establish empirical and theoretical foundations for an epistemology of dynamic geometry.
为了理解学生如何在“动态几何”环境中构建数学思想(如几何画板和卡布里工具),需要明确描述:(1)软件中包含的数学“原材料”和(2)学生如何使用这些“原材料”。“什么是数学对象和允许的变换? 他们注意到了什么,注意到了什么? 他们是如何解释他们所观察到的? 通过与开发人员的访谈,并通过我们的分析,我们将调查工具的数学和教学潜力。 与学生的实验和临床访谈很好地导致与该软件的定义特征相关的概念的初步认识论:动态“拖动”。他说:“我们会进行重点实验,以重新检视和完善这些结果,从而为学与教,以及教材设计提供启示。 因此,该项目将建立动态几何认识论的经验和理论基础。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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E. Paul Goldenberg其他文献
Students' understanding of the notion of function in dynamic geometry environments
- DOI:
10.1007/bf00182618 - 发表时间:
2013-11-07 - 期刊:
- 影响因子:3.500
- 作者:
Orit Hazzan;E. Paul Goldenberg - 通讯作者:
E. Paul Goldenberg
An Inefficient Route to the Cosine Law
- DOI:
10.1023/a:1009709803488 - 发表时间:
1998-05-01 - 期刊:
- 影响因子:3.500
- 作者:
E. Paul Goldenberg - 通讯作者:
E. Paul Goldenberg
Getting Euler's Line to Relax
- DOI:
10.1023/a:1017907209271 - 发表时间:
2001-05-01 - 期刊:
- 影响因子:3.500
- 作者:
E. Paul Goldenberg - 通讯作者:
E. Paul Goldenberg
Principles, Art, and Craft In Curriculum Design: The Case of Connected Geometry
- DOI:
10.1023/a:1009878903774 - 发表时间:
1999-05-01 - 期刊:
- 影响因子:3.500
- 作者:
E. Paul Goldenberg - 通讯作者:
E. Paul Goldenberg
E. Paul Goldenberg的其他文献
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{{ truncateString('E. Paul Goldenberg', 18)}}的其他基金
Mathematics through Programming in the Elementary Grades
小学数学通过编程
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1934161 - 财政年份:2019
- 资助金额:
$ 60.29万 - 项目类别:
Standard Grant
Think Math + C: Integrating Programming Into a Comprehensive K-5 Mathematics Curriculum
Think Math C:将编程融入综合 K-5 数学课程
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1741792 - 财政年份:2017
- 资助金额:
$ 60.29万 - 项目类别:
Standard Grant
Bringing a Rigorous Computer Science Principles Course to the Largest School System in the United States
将严格的计算机科学原理课程引入美国最大的学校系统
- 批准号:
1441075 - 财政年份:2015
- 资助金额:
$ 60.29万 - 项目类别:
Continuing Grant
iPuzzle: Transforming Mathematics Learning Through Social Puzzling
iPuzzle:通过社交谜题改变数学学习
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1135173 - 财政年份:2012
- 资助金额:
$ 60.29万 - 项目类别:
Standard Grant
Implementing the Mathematical Practice Standards: Enhancing Teachers' Ability to Support the Common Core State Standards
实施数学实践标准:增强教师支持共同核心国家标准的能力
- 批准号:
1119163 - 财政年份:2011
- 资助金额:
$ 60.29万 - 项目类别:
Continuing Grant
Transition to Algebra: A Habits of Mind Approach
向代数过渡:思维习惯方法
- 批准号:
0917958 - 财政年份:2009
- 资助金额:
$ 60.29万 - 项目类别:
Continuing Grant
Learning By Doing: A Mathematics Curriculum for Elementary School Children and Their Teachers
边做边学:小学生及其老师的数学课程
- 批准号:
0099093 - 财政年份:2001
- 资助金额:
$ 60.29万 - 项目类别:
Continuing Grant
SGER: Finding Principles For K-6 Curriculum Materials that Promote Rather than Require Professional Development
SGER:寻找促进而非要求专业发展的 K-6 课程材料原则
- 批准号:
0000368 - 财政年份:2000
- 资助金额:
$ 60.29万 - 项目类别:
Standard Grant
Problems With A Point: A Web-based Problem Bank for Teachers
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9818735 - 财政年份:1999
- 资助金额:
$ 60.29万 - 项目类别:
Continuing Grant
Connecting With Mathematics: The Ideas Behind the Techniques
与数学联系:技术背后的想法
- 批准号:
9731244 - 财政年份:1998
- 资助金额:
$ 60.29万 - 项目类别:
Continuing Grant
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