(for high school teachers, math education researchers, mathematicians, and other fans of mathematics)

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. If you read it in Adobe Acrobat software, you can use the linked table of contents.)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Appendix to "The Creation of Continuous Exponents" (previously unpublished).

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.

Susan's web site at California State University, San Bernardino: http://www.math.csusb.edu/faculty/susan

Frog Stretcher Multiplication applet. Demonstrates what happens when you multiply numbers of any size, including negatives. Uses the free Austrian geometry software Geogebra

Another version, features a well known citizen of California and Austria: Arnold Stretcher Multiplication applet.