Noticing in Mathematics: A Video-Annotation Curriculum to Enhance Instructors' Understanding of Student Thinking in Proof-Transition Courses

数学中的注意：视频注释课程可增强教师对证明过渡课程中学生思维的理解

• 批准号: 2120894
• 负责人: Rossella Santagata
• 金额: $ 30万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-10-01 至 2024-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2120894&HistoricalAwards=false
• 关键词: Noticing; Mathematics; Video; Annotation; Curriculum

This project aims to serve the national interest by improving instructional teams’ understanding of student mathematical thinking in introductory college proof courses. Large percentages of undergraduates fail proof-transition courses. The notable increase in content difficulty and transition from computational to proof-based mathematics are factors in determining whether students pursue studies and careers in STEM. This issue affects students from underrepresented groups disproportionately. To address these challenges, this project will investigate the effectiveness of a video-annotation curriculum designed to support responsive and equitable mathematics instruction in undergraduate proof-transition courses. The project will provide professional development for six instructional teams for an Introduction to Abstract Algebra course. The instructional teams will consist of a course instructor, two graduate teaching assistants, and four undergraduate learning assistants. The project’s aim is to enhance instructional practices to increase student success in college courses for mathematics majors.This project draws on extensive K-12 mathematics education research to ground its design of an innovative professional development curriculum centered on teacher noticing. Noticing entails attending to student mathematical thinking and positioning in the classroom, responding strategically and appropriately, and improving both learning and sense of belonging. This project will provide novel and important findings about adaptation of the noticing construct to the higher education setting. Through a design-based research approach, the project’s interdisciplinary team will engage in three phases of research: exploratory, early implementation, and efficacy study. Through multiple cycles of revisions the team will design and rigorously test the curriculum for its impact on student learning and instructional teams’ knowledge, noticing competencies, and instructional quality. The University of California-Irvine, a Hispanic-Serving Institution, will test the efficacy of the curriculum specifically on Latinx students. Additionally, the curriculum will be made freely available to other institutions, including those serving large percentages of students from groups underrepresented in their participation in STEM courses of study. Findings will be shared via publications and conference presentations. The NSF IUSE: EHR program supports research and development projects to improve the effectiveness of STEM education for all students. Through the Engaged Student Learning track, the program supports the creation, exploration, and implementation of promising practices and tools.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.

该项目旨在通过提高教学团队对大学证明入门课程中学生数学思维的理解来服务于国家利益。很大比例的本科生没有通过证明过渡课程。内容难度的显著增加以及从计算数学到基于证明的数学的过渡是决定学生是否在STEM中进行学习和职业的因素。这一问题对代表性不足群体的学生的影响不成比例。为了应对这些挑战，本项目将调查视频注释课程的有效性，该课程旨在支持本科证明转换课程中的响应和公平的数学教学。该项目将为六个教学团队提供专业发展的介绍抽象代数课程。教学团队将包括一名课程讲师，两名研究生助教和四名本科生学习助理。该项目的目的是加强教学实践，以提高学生在大学课程的数学专业的成功。该项目借鉴了广泛的K-12数学教育研究，其基础上设计的创新专业发展课程为中心的教师注意。注意需要注意学生的数学思维和定位在课堂上，战略性和适当的反应，并提高学习和归属感。本研究将提供关于注意建构与高等教育环境适应性的新的重要发现。通过基于设计的研究方法，该项目的跨学科团队将从事三个阶段的研究：探索，早期实施和功效研究。通过多个修订周期，团队将设计并严格测试课程对学生学习和教学团队的知识，注意力和教学质量的影响。加州大学欧文分校，一个西班牙裔服务机构，将测试课程的有效性，特别是对拉丁裔学生。此外，该课程将免费提供给其他机构，包括那些服务于大部分学生的机构，这些学生来自参与STEM学习课程的人数不足的群体。调查结果将通过出版物和会议报告分享。NSF IUSE：EHR计划支持研究和开发项目，以提高所有学生STEM教育的有效性。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。