- mathematics education
- Topology and geometry

- Mathematics

Use of Computer Algebra Systems in the teaching of secondary school and college mathematics

Using Dynamic Geometry Systems in the teaching of secondary school and college mathematics

The mathematical preparation of teachers of mathematics in K-12 schools

Placing mathematics online for use in interactive online mathematics courses

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*Stabilizations of periodic maps on manifolds*, * Michigan Mathematical Journal*,

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*Involutions fixing the disjoint union of two projective spaces*, * Indiana University Mathematics Journal*,

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(with Gary Hamrick), *Flat riemannian manifolds are boundaries*, * Inventiones mathematicæ*,

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(with Kim Prichard)* Metrolina Calculus Consortium: Implementing a technology-based curriculum*, * Proceedings of the 5th International Conference on Technology in Collegiate Mathematics*, Chicago, IL, L. Lum (ed)., Addison-Wesley, Cambridge, MA, 1994, 812–814.

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(with David Pugalee, Chris Giersch, Charles Nusinov, and Thomas Pinelli) *Celebrating 100 Years of Flight: Testing Wing Designs in Aircraft,* * Mathematics Teaching in the Middle School*, NCTM, Reston VA, December 2004 – January 2005.

(with David Pugalee, Fran Arbaugh, Jennifer Bay-Williams, Anne Farrell, and Susann Matthews) * Navigating through Mathematical Connections in Grades 6-8*, NCTM, Reston, VA, 2008.

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(with Molly Fisher) *Mathematics teachers' support and retention: using Maslov's hierarchy to understand teacher's needs*, **International Journal of Mathematics Education,** **47**(2016),1-16.