MATH:EAGER: Guide to Evidenced-Based Instructional Practices in Undergraduate Mathematics

对大学毕业生的数学背景要求很高，这样他们才能在工作中茁壮成长，成为科学、技术、工程、数学(STEM)专业人员，以及其他技术和非技术领域的专业人员，以及能够通过媒体和其他来源浏览各种信息的公民。为此，数学科学界一直在努力改善本科数学的学习和教学。目前已有大量关于学习与教学的研究，为大学生数学教学的有效策略提供了证据。本项目将制作一份教学实践指南，以强调以循证为基础、以学生为中心的教学法。这本教学实践指南将为所有类型的高等教育机构的数学教师，包括教职员工和研究生，提供基于研究的资源。美国数学协会(MAA)是最大的专注于本科生数学的专业组织，是数学教师专业发展的主要来源，也是本科生数学教学和学习的资源。因此，MAA是自然和最佳的牵头组织，以产生旨在将基于研究的教学方法注入本科数学教学的资源。对于所讨论的每个主题，教学实践指南将包括关于该主题的当前文献的总结和综合。在制作这些总结的过程中，项目团队希望发现证据基础比其他研究领域更完善的研究领域。因此，该项目还将解决两个主要的研究问题：(1)什么一般的教学方法和/或具体的教学实践有充分的经验基础来证明其有效性(或缺乏)？(2)哪些一般的教学方法和/或具体的教学实践需要进一步的研究来建立一个证明其有效性(或缺乏)的经验基础？

A strong background in mathematics is expected of college graduates so that they can thrive in the workforce as science, technology, engineering, mathematics (STEM) professionals, and professionals in other technical and non-technical fields, as well as citizens able to navigate the variety of information available through the media and other sources. To this end, there have been efforts in the mathematical sciences to improve the learning and teaching of undergraduate mathematics. A body of research on learning and teaching now exists that provides evidence pointing to effective strategies for teaching of mathematics to college students. This project will produce an instructional practices guide to emphasize evidence-based student-centered pedagogies. This instructional practices guide will serve as a research-based resource for mathematics instructors, both faculty and graduate students, at all types of higher education institutions. The Mathematical Association of America (MAA) is the largest professional organization focused on undergraduate mathematics and is the leading source for mathematics faculty professional development as well as resources for teaching and learning undergraduate mathematics. As such, the MAA is the natural and optimal lead organization to produce a resource intended to infuse research-based pedagogies into the teaching of undergraduate mathematics. For each topic addressed, the instructional practices guide will include a summary and synthesis of current literature on that topic. In producing these summaries, the project team expects to discover areas of research in which the evidence-base is better developed than for others. Thus, the project will also address two primary research questions: (1) What general pedagogies and/or specific instructional practices have a well-established empirical basis demonstrating their effectiveness (or lack thereof)? (2) What general pedagogies and/or specific instructional practices are in need of further research to establish an empirical basis demonstrating their effectiveness (or lack thereof)?