Historical
Perspectives for the Reform of Mathematics Curriculum: Geometric Curve
Drawing Devices and Their Role in the Transition to an Algebraic
Description of Functions. Ph.D. Dissertation,
Cornell University, 1995.

(Note: This is a pdf file over 300 pages long, so it may take a while
to download.)

Functions of a
Curve: Leibniz's Original Notion of Functions and its Meaning for the
Parabola.

Originally published in The College Mathematics Journal, March 1995,
Vol. 26, #2, p.124-130.

The Creation of Continuous
Exponents: A Study of the Methods and Epistemology of Alhazen and
Wallis.

Originally published in J. Kaput & E. Dubinsky (Eds.), Research in
Collegiate Mathematics II. CBMS Vol 6, pp. 33-60, 1996.
Providence, RI: American Mathematical Society.

Appendix to "The
Creation of Continuous Exponents" (previously
unpublished).

Project-Based Mathematical Investigation For Prospective K-8 Teachers: Students Produce Original Approaches to the Generation of Pythagorean Triples

Presented at The Joint Mathematics Meetings, A.M.S - M.A.A. January 1997, San Diego, CA

Rene Descartes' Curve-Drawing
Devices: Experiments in the Relations Between Mechanical Motion and
Symbolic Language.

Originally published in Mathematics Magazine, Vol. 70, No. 3, June
1997, pp. 163-174.

Drawing Logarithmic and
Exponential Curves with the Computer
Software Geometer's Sketchpad: A Method Inspired by Historical Sources.

Originally published in J. King & D. Schatschneider (Eds.),
Geometry Turned On: Dynamic Software in Learning, Teaching and
Research. pp. 147-156, 1997.
Washington D.C.: Mathematical Association of America.

Geometric Curve Drawing
Devices as an Alternative Approach to
Analytic Geometry: An Analysis of the Methods, Voice, and
Epistemology of a High School Senior.

Originally published in R. Lehrer and D. Chazan (Eds.), Designing Learning Environments for
Developing Understanding of Geometry and Space, pp. 297-318, 1998.
Hillsdale, NJ: Lawrence Erlbaum Associates.

Dennis, D. & Kreinovich, V. & Rump, S. Intervals and the
Origins of Calculus.

Originally published in Reliable Computing 4: 191-197,
1998. Dordrecht, Netherlands: Kluwer.

The Role of Historical
Studies in Mathematics and Science
Educational Research.

Originally published in Kelly and Lesh (Eds.), Research Design in Mathematics and Science
Education, 2000. Mahwah, NJ: Lawrence Erlbaum.