Pathways to Preparing Future Mathematics Faculty to Transform Undergraduate Mathematics Teaching and Learning

数学专业的研究生经常被要求教授从大学代数到微积分预科到微积分的入门课程。在这个项目中，一组数学家和数学教育研究人员正在开发一系列课程和相关活动，以支持数学博士生在教学和评估基础课程的有效性方面采用科学的方法。这种努力的智力价值在于它使用了以前开发的基于研究的学生和教师材料，这些材料已经被记录下来，以改变微积分预科和微积分的教学。基于先前的工作，调查小组正在为数学研究生创建一个模范教育证书课程，旨在改变他们的教学实践。在这些教学经历的同时，学生要完成一系列的课程和研讨会，在这些课程和研讨会中，他们要阅读精选的出版物，审查材料，设计并进行学生学习的小规模研究。这些组合的项目组成部分为培养数学博士奠定了基础，他们准备在改善本科数学的教学和学习方面发挥领导作用。该项目正在发挥其更广泛的影响，一方面是通过吸引教师改变PI所在机构的文化和部门基础设施，另一方面是作为其他数学系的典范，这些数学系可以将教育认证计划纳入其研究生课程，从而支持学生的专业前教师发展。

Graduate students in mathematics are often called on to teach sections of introductory courses ranging from college algebra, to precalculus, to calculus. In this project a team of mathematicians and mathematics education researchers are developing a sequence of courses and associated activities that support Ph.D. students in mathematics to adopt a scientific approach both to their teaching and to evaluating the effectiveness of the underlying curriculum. The intellectual merit of this effort lies in its use of previously developed research-based student and teacher materials that have been documented to transform precalculus and calculus teaching and learning. Based on this prior work the investigating team is creating a model education certificate program for mathematics graduate students that is envisioned to transform their teaching practice. Concurrent with these teaching experiences, students complete a sequence of courses and seminars in which they read select publications, review materials, and design and conduct small-scale research studies of student learning. These combined program components lay the groundwork for producing mathematics Ph.D. students who are prepared to take leadership roles in improving the teaching and learning of undergraduate mathematics. The project is exercising its broader impact both by engaging the faculty to change the culture and departmental infrastructure in the PI's own institution, and by serving as model for other departments of mathematics who can incorporate the education certification program into their graduate offerings, thus supporting pre-professional faculty development of their students.