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的入门课程。在这个项目中，一个数学家和数学教育研究人员的团队正在开发一系列课程和相关活动，以支持博士学位。我们鼓励数学系的学生在教学和评估基础课程的有效性方面采用科学的方法。这一努力的智力价值在于它使用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，以改变微积分和微积分的教学和学习。基于这一先前的工作，调查小组正在为数学研究生创建一个模型教育证书计划，设想改变他们的教学实践。与这些教学经验的同时，学生完成一系列的课程和研讨会，他们在其中阅读选择出版物，审查材料，并设计和进行学生学习的小规模研究。这些组合的程序组件奠定了基础，生产数学博士。学生谁是准备采取领导作用，提高本科数学的教学和学习。该项目正在行使其更广泛的影响，无论是通过从事教师改变文化和部门基础设施在PI的自己的机构，并作为模型的其他部门的数学谁可以将教育认证计划到他们的研究生课程，从而支持他们的学生的专业前教师的发展。

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.