Video Cases for College Mathematics Instructor Professional Development (link)
Watching authentic video of mathematics teaching enlivens any professional development program and catalyzes deep conversations about pedagogy. Partnered with research-based readings, these video cases (accompanied by facilitator guides) help college mathematics instructors build their knowledge of student thinking and advance their strategies for engaging students.
LINK TO SITE: collegemathvideocases.org (opens in new window)
Table of Contents:
Case Selection and User's Guide
- Suggestions for selection and pacing of the materials - with case combinations and connections to the Boston College Case Studies text.
- Illustrated user's guide - How to prepare for and use the video cases.
- The First Day of Class - establishing classroom norms and setting the tone for learning in class.
- Facilitating Group Work - examining instructor-student communication during groupwork.
- Inside the Group - exploring student thinking as students work together and discuss a new idea.
- Processing Student Feedback - developing strategies for using student feedback to improve teaching.
- Office Hours - making the most of this important one-on-one time by leveraging student thinking.
- Choosing and Ordering Student Work - strategically selecting and sequencing students' ideas to scaffold a whole class discussion.
- Grades and Grading - exploring various purposes and consequences of different approaches to assessment.
- Leading Whole Class Discussions - orchestrating a student-centered whole class discussion.
- The Communication Gap - diving into differences between how instructors discuss mathematical ideas and how their students do.
- What Do They Really Get? - exploring student thinking as students determine whether an infinite series converges.
Short reports on theory and essays on research informing practice
- Reflections on Using Cases - Four professors talk about their use of cases for instructor development.
- Group Work - Synthesis of research on the use of group work in teaching.
- Constructivism - An overview of theories about how people learn.
- Knowledge for Teaching - The roles that various types of knowledge play in teaching.
- Question Strategies - Using different kinds of questions in teaching.
- Journal of a Math Teaching Assistant - Description of beginning TAs' experiences.
- Mathematical Autobiographies - A window into the experiences students bring with them to your class.
- Mid-term Evaluations - Research findings about student evaluations of teaching.
- Technology - Ideas from research on the use of web-based homework systems.