Articles

How do Mathematicians Make Sense of Definitions?, Research in Undergraduate Mathematics Education Conference Proceedings (2011)

The purpose of this paper is to share preliminary results from a pilot study on...

 

Seeing the Potential in Students' Questions (with W. Ted Mahavier), Mathematics Teacher (2010)

Rich mathematical questions emerge from online dialogues between high school algebra students and prospective teachers.

 

OpenURL

Investigating Teachers' Mathematics Teaching Understanding: A Case for Coordinating Perspectives, Educational Studies in Mathematics (2007)

This paper provides a microanalysis of one Algebra I teacher's instruction to explore the advantages...

 

Presentations

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How Do Mathematicians Make Sense of Definitions? (with Margaret T. Kinzel, Thomas A. Kinzel, Kathleen L. Rohrig, and Sharon B. Walen), Research in Undergraduate Mathematics Education (2011)

It seems clear that students’ activity while working with definitions differs from that of mathematicians....

 

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Developing Students’ Understanding of Mathematical Definitions: Why Bother? (2009)

Definitions are a fundamental part of doing mathematics, yet studies indicate that many students struggle...

 

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Proportional Reasoning 101, 30th Annual Conference of the Virginia Council of Teachers of Mathematics (2009)
 

The Instructor's Important Role In Supporting Mathematical Arguments in a K-5 Mathematics Specialist Program (with Joy Whitenack and Aimee Ellington), 2009 Conference on Research In Undergraduate Mathematics Education (2009)

In this presentation, we use examples from a one lesson taken from an algebra course...