Improving Undergraduate Mathematics Education with Interleaving

通过交错改进本科数学教育

• 批准号: 2225258
• 负责人: Steve Bennoun
• 金额: $ 34.99万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-11-01 至 2025-10-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2225258&HistoricalAwards=false
• 关键词: Improving; Undergraduate; Mathematics; Education; Interleaving; Improving; Undergraduate; Mathematics; Education; Interleaving

This project aims to serve the national interest by enhancing student learning in calculus with a teaching method called interleaving. Unlike the common practice of studying and practicing one topic at a time and them moving to the next topic, interleaving consists in intermixing the study and practice of different topics together. Research conducted in middle school mathematics classrooms shows evidence that interleaving can help improve student learning. Yet, it is currently unknown if similar results can be obtained in college mathematics courses. This project will study how effective interleaving is at improving student learning in the undergraduate calculus classroom. In parallel to the research component, the principal investigator will take part in an intensive professional development plan to expand his knowledge and skills in fundamental theories in mathematics education, qualitative and quantitative methods, and equity in education.The goal of this project is to determine to what extent interleaving helps students learn calculus. In order to answer this question, blocked and interleaved problem sets will be created for a calculus for life sciences course. Students will be divided into two groups, one using interleaving homework sets and the other one using blocked homework sets. Using a cross-over design, the groups will switch from one type of homework to the other type half-way through the term. Learning will be measured by scores on unannounced tests as well as scores on midterm and final exams, and supported through interviews with students to ensure validity. The scores will be analyzed for the class as a whole and also disaggregated by demographic groups. This project will advance our understanding of the extent to which interleaving can help students learn calculus. The project is supported by NSF's EHR Core Research Building Capacity in STEM Education Research (ECR: BCSER) program, which is designed to build investigators’ capacity to carry out high-quality STEM education research.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目的目的是通过使用称为Intheraving的教学方法来增强微积分的学生学习来满足国家利益。与一次研究和练习一个主题的常见实践和他们转向下一个主题不同，交错包括将不同主题的研究和实践相结合在一起。在中学数学课堂上进行的研究表明，交织可以帮助改善学生学习。但是，目前尚不清楚大学数学课程中是否可以获得类似的结果。该项目将研究在本科计算课堂中改善学生学习的有效交错。与研究组成部分同时，首席研究人员将参加一项密集的专业发展计划，以扩大他在数学教育，定性和定量方法以及教育方面的基本理论方面的知识和技能。该项目的目的是确定在多大程度上有助于介绍的程度有助于学生学习计算。为了回答这个问题，将为生命科学课程计算而创建被阻塞和交错的问题集。学生将分为两组，一组使用交织的家庭作业，另一个使用封锁的家庭作业。使用交叉设计，组将在学期中途切换到另一种类型的作业。学习将通过未经宣布的考试的分数以及中期和期末考试的分数来衡量，并通过与学生的访谈来支持以确保有效性。该分数将分析整个班级，并由人口统计组分开。该项目将促进我们对交织可以帮助学生学习计算的程度的理解。该项目得到了NSF的EHR核心研究建设在STEM教育研究（ECR：BCSER）计划中的支持，该计划旨在建立研究人员进行高质量STEM教育研究的能力。该奖项反映了NSF的法定任务，并被认为是通过基金会的智力和更广泛的影响来通过评估来获得支持的珍贵的，该奖项是珍贵的。