Mathematical Sciences: " Learning Abstract Algebra: A Research Based Laboratory and Cooperative Learning Approach"

数学科学：“学习抽象代数：基于研究的实验室和合作学习方法”

• 批准号: 9112969
• 负责人: Ed Dubinsky
• 金额: $ 55.26万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-12-15 至 1996-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9112969&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Learning; Abstract; Algebra

The main goal of this project is to study how students learn abstract mathematics. The specific situation to be studied is how students increase their level of sophistication in mathematics so that they can understand abstract algebra at the undergraduate level. In addition, since abstract algebra is a basic course for teachers, it has influence on the education of teachers and how they learn, and whence, how they teach mathematics in the schools. The design of the research study will include the study of "traditional" approach to teaching this course and a pedagogical approach that involves the use of computers to initially construct the abstract objects that occur in an abstract algebra course combined with a cooperative learning environment. This study will be carried out at a number of universities and by several faculty members at those universities. There will be a faculty workshop and minicourses given at professional meetings to disseminate the findings of this research and the techniques developed to help in learning abstract concepts.

这个项目的主要目标是研究学生如何 学习抽象数学。 具体情况待 研究的是学生如何提高他们的水平， 在数学上的复杂性，使他们能够理解 本科阶段的抽象代数 此外，本发明还提供了一种方法， 摘要抽象代数是教师的一门基础课， 对教师教育的影响， 学习，以及从哪里，他们如何教数学， 学校 研究设计将包括研究 “传统”的方法来教授这门课程， 教学方法，涉及使用计算机， 最初构造出现在 抽象代数课程与合作学习相结合 环境 这项研究将在一些 大学和一些教师在这些 高校 将有一个教师研讨会和迷你课程给予 在专业会议上传播这一发现， 研究和技术开发，以帮助学习 抽象概念。