Registration Deadline: September 20, 2026

Instructor: Dr. Francis Duah, Toronto Metropolitan University

Course Dates: 
Mid-Semester Break: 
Lecture Times: 
Office Hours: 

Registration Fee:

• Students from our Principal Sponsoring & Affiliate Universities: Free
• Other Students: CAD$500

Capacity Limit: 

Format: 

Course Description

This course aims to provide opportunities for Masters and Doctoral students who are interested in the science and art of learning and teaching undergraduate mathematics to explore the current research in the field. The course will focus on issues in learning and teaching of undergraduate mathematics. Topics to be covered include:

1. Theories of Mathematics Education;
2. Teaching Undergraduate Mathematics with Technology;
3. Undergraduate Textbook Research;
4. Mathematics Resilience;
5. Learning Outcomes and Assessment;
6. Methods of Evaluation of Educational Interventions;
7. Neuroscience and Mathematics Education;
8. Statistics Education; and,
9. Teaching Mathematics for Social Justice.

The undergraduate mathematics curriculum content that will be drawn upon for illustration and discussion on transformative and effective higher education pedagogy include but not limited to Calculus, Linear Algebra, Complex Variables, Mathematical Proofs, Probability Theory, and Statistics.

Course Learning Outcomes

Student study and research output:

1. A literature review of 25 empirical studies on a chosen topic in undergraduate mathematics education that could be the focus of a PhD Dissertation; and, 
2. An annotated bibliography of 10 empirical studies on a second chosen topic in undergraduate mathematics education.

By the end of the course, a student should be:

• knowledgeable about issues in learning and teaching undergraduate mathematics;
• able to identify a topic for small-scale research and this should be informed by their reading and critical analysis of the extant literature on the topic;
• knowledgeable about the genre for writing academic papers in mathematics education;
• able to systematically search for empirical research papers on a mathematics education topic; and,
• able to critically review empirical research papers on a mathematics education topic and to report findings of the review to the undergraduate mathematics education community.

Background Reading

1. Kelton, S. (2020). A Beginner's Guide to Teaching Mathematics in the Undergraduate Classroom. Routledge.
2. Grove, M., Croft, T., Kyle, J., & Lawson, D. (2015). Transitions in Undergraduate Mathematics Education. Birmingham: Higher Education Academy and University of Birmingham.
3. Grove, M., & Tina, Overton, D. (2013). Getting Started in Pedagogic Research within the STEM Disciplines. Birmingham: Higher Education Academy and University of Birmingham.
4. Lerman, S. (Ed.). (2020). Encyclopaedia of Mathematics Education. Cham: Springer International Publishing. https://link.springer.com/referencework/10.1007/978-94-007-4978-8
5. Sriraman, B. & English, L. (Eds.) (2010a). Theories of Mathematics Education: Seeking new Frontiers. Heidelberg, DL: Springer