(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Appendix to "The Creation of Continuous Exponents" (previously unpublished).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 GeogebraAnother version, features a well known citizen of California and Austria: Arnold Stretcher Multiplication applet.