The Design of a Research Based Curriculum for Real Analysis

真实分析研究型课程设计

• 批准号: 0837443
• 负责人: Kyeong Hah Roh
• 金额: $ 15万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-07-15 至 2013-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0837443&HistoricalAwards=false
• 关键词: Design; Research; Based; Curriculum; Real

Mathematical Sciences (21): This project is studying student learning patterns in undergraduate advanced analysis, a critical course for students who intend to do advanced work in mathematics. The ultimate goal of the project is to design a research based curriculum with learning materials for the undergraduate mathematics course in Real Analysis at Arizona State University (ASU), as well as for other institutions throughout the U.S. This project will positively affect STEM undergraduate programs by:1. Creating learning materials and teaching strategies, including lesson modules and an instrument to gauge students' readiness,2. Implementing educational innovations through a whole-class teaching experiment and task-based interviews with individual students, and 3. Conducting research to explore students' understanding, obstacles and their learning patterns; and effective teaching strategies to enhance learning.Intellectual Merit: There is little research about students' obstacles and their learning patterns in upper level abstract mathematics courses, such as advanced undergraduate analysis. While much research on the application of educational theories has been done and materials have been developed for K-12 and some lower division undergraduate mathematics, there is no evidence that this work applies to advanced abstract courses. This project is a step toward filling this gap in the research literature.Broader Impact: Analysis courses, such as the one being studied at Arizona State are also present at most 4-year colleges and universities in the U. S. and are often required for undergraduate degrees in mathematics and secondary mathematics education. The proposed project will help a significant pool of mathematics students and future high school teachers across the nation to have a successful transition to upper division mathematics courses. This project is also developing faculty expertise by illuminating challenges to and opportunities for adapting innovations in diverse educational settings.

数学科学（21）：该项目正在研究本科高级分析的学生学习模式，这是打算在数学方面做高级工作的学生的一门重要课程。 该项目的最终目标是为亚利桑那州立大学（ASU）的真实的分析本科数学课程设计一个基于研究的课程和学习材料，以及整个美国的其他机构。编制学习材料和教学战略，包括课程模块和衡量学生准备程度的工具; 2.透过整堂教学实验与个别学生任务式访谈，实施教育创新。进行研究，以探讨学生的理解，障碍和他们的学习模式;和有效的教学策略，以促进学习。智力优点：有很少的研究，对学生的障碍和他们的学习模式，在高层次的抽象数学课程，如高级本科分析。虽然已经做了很多关于教育理论应用的研究，并为K-12和一些低年级本科数学开发了材料，但没有证据表明这项工作适用于高级抽象课程。更广泛的影响：分析课程，如亚利桑那州立大学正在研究的课程，也存在于美国大多数四年制学院和大学。S.并且通常需要获得数学和中学数学教育的本科学位。拟议的项目将帮助全国大量的数学学生和未来的高中教师成功地过渡到高年级数学课程。该项目还通过阐明在不同教育环境中适应创新的挑战和机遇来发展教师的专业知识。