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

预计大学毕业生的数学背景很强，这样他们就可以在劳动力中茁壮成长，成为科学，技术，工程，数学（STEM）专业人士，以及其他技术和非技术领域的专业人士，以及能够通过媒体和其他来源浏览各种信息的公民。为此，在数学科学中一直在努力改善本科数学的学习和教学。一个机构的研究学习和教学现在存在的证据指向有效的策略，数学教学的大学生。这个项目将产生一个教学实践指南，强调以证据为基础的以学生为中心的教学法。这本教学实践指南将作为一个研究为基础的资源，数学教师，教师和研究生，在所有类型的高等教育机构。美国数学协会（MAA）是专注于本科数学的最大的专业组织，是数学教师专业发展的主要来源，也是本科数学教学和学习的资源。因此，MAA是自然和最佳的领导组织，以产生一个资源，旨在注入研究为基础的数学到本科数学教学。对于所涉及的每一个专题，教学实践指南都将包括关于该专题的现有文献的摘要和综合。在编写这些摘要时，项目小组希望发现证据基础比其他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一个完善的经验基础，证明他们的有效性（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，以建立一个实证基础，证明其有效性（或缺乏）？

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)?