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

大学毕业生应具备扎实的数学背景，这样他们才能成为科学、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获取各种信息的公民。为此，数学科学学界一直在努力改善本科数学的学与教。现在有大量关于学习和教学的研究，提供了指向大学生数学教学有效策略的证据。本项目将产生一份教学实践指南，强调以证据为基础的以学生为中心的教学法。本教学实践指南将为所有类型高等教育机构的数学教师、教师和研究生提供研究基础资源。美国数学协会（MAA）是最大的专注于本科数学的专业组织，是数学教师专业发展以及本科数学教学资源的主要来源。正因为如此，MAA是自然和最佳的领导组织，以生产旨在将研究型教学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对该主题的当前文献的总结和综合。在制作这些摘要的过程中，项目团队希望发现证据基础比其他领域发展得更好的研究领域。因此，该项目还将解决两个主要的研究问题：(1)哪些一般教学法和/或具体的教学实践有一个完善的实证基础来证明其有效性（或缺乏）？(2)哪些一般教学法和/或具体教学实践需要进一步研究，以建立证明其有效性（或缺乏有效性）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)?