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My
research interests encompass several areas of undergraduate
mathematics education, including:
- Students' understanding
of concepts in number theory and abstract algebra
- The construction and verification
of proofs, the role of definition in students' mathematical thinking
- The impact of student-centered
problem-based teaching at the undergraduate level
Other research interests include
the mathematical development of secondary mathematics teachers, the role
of content knowledge in teaching secondary mathematics, and problem-based
mathematics teaching at the secondary level.
Current projects:
- An investigation of the
development of students' understandings of proof in the context of a
problem-based number theory course
- A case study of a mathematics
professor learning to teach an undergraduate course using the “modified
Moore method”
- A video study of an undergraduate
course taught using the “modified Moore method by an experienced
instructor.
Grants:
Presentations:
Publications:
Graduate Students:
(Under Construction...)
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