Papers & Talks

• Selected books, recent papers, and works in progress

1.  "GENERIC TOPOLOGY, Revised ", McGraw-Hill International Publishers, 1994.

2.  "On Proof & Dynamic Software", Mathematics in College Journal, CUNY (1995-96), 41-43.

3.  " Transformational Geometry: A Workbook, revised & enlarged ", Math. Dept. Publ., SUNY-Potsdam, Fall 1997.

4.  " Identifying transformations by their orbits ", D. Schattschneider & J. King, editors, GEOMETRY TURNED ON: Dynamic Software In Learning, Teaching, & Research , MAA Notes #41, 1997.

5.  "GENERIC TOPOLOGY, Revised & Enlarged ", Math. Dept. Publ., SUNY-Potsdam, 1997-98.

6.   Contributor, "101 Project Ideas for The Geometer's Sketchpad" , S. Chanan, ed., Key Curriculum Press, Key College Publishing, 2001.

7.  “Transformation Geometry with Applications" (under revision).

8.  “Introduction to Spectra and Generalized Co/Homologies", preliminary report, 2001.

9.   “Trisections, "n-sections", and Regular n-gons Using Geometer's Sketchpad ", NYS Teachers' Journal, vol. 53, no. 3, 2003.

10.  “On a Vietoris-Begel Theorem for Noncompact Spaces ", SUNY-Potsdam, preliminary report, 2004.

11. “A new proof of an old chestnut by R. Honsberger ”, SUNY-Potsdam, 2005.

12. “Subgroups of the Group of Isometries of the Plane”, J. Geom. & Topo., 7(3) (07), 405-422.

13. “Isometries of the Line”, SUNY-Potsdam, June 2009.

14. “Infinite Subgroups of the Isometry Group of Space” (to appear in AAMS).

15. “Euclid’s Maximum Problem” (to appear).

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• Recent invited talks and presentations

1.  " Minimum paths on 2xn grids (or “How to lace you shoes using the shortest length of shoelace”)", GSP User Group Mtg., AMS/MAA Jt. Mtgs., San Diego, Jan. 7-11, 1997.

2.  " Rethinking Geometry: Teaching Geometry with GSP ", MAA Special Session on Rethinking Upper Level Core Math. Courses, AMS/MAA Jt. Mtgs., Baltimore, Jan. 7-10, 1998.

3.  " What & Where is the Fermat Point? ", GSP User Grp. Mtg., AMS/MAA Jt. Mtgs., Baltimore, Jan.8, 1998 (see < http://forum.swarthmore.edu/sketchpad/ >).

4.  "Make your Geometry Classes DYNAMIC!", AMTNYS Summer Workshop, Paul Smith’s College, Aug. 9-13, 1998.

5.  " A Dynamic Geometry Course ", Ann. Fall Mtg., Seaway Sec., MAA, Nazareth Col., Nov. 6-7, 1998.

6.  " Designing a Dynamic Geometry Course ", MAA Special Session on Geometry in the Classroom in the Next Millenium, AMS/MAA Jt. Mtgs., San Antonio, Jan. 13-16, 1999.

7.  " Solving Geometry Problems in Everyday Life " (Figures), AMTNYS Fall Meeting, Buffalo, Nov. 11-13, 1999.

8.  "The largest rectangle contained in a given triangle", GSP User Grp. Mtg., AMS/MAA Jt. Mtgs., Wash., DC, Jan. 18-22, 2000.

9.  "Teaching Upper-level Mathematics Courses in the 21st Century", MAA Special Session on Innovative Uses of the World Wide Web in Teaching Mathematics, AMS/MAA Jt. Mtgs., New Orleans, Jan. 10-13, 2001.

10. "Centers of Triangles", Math Club, SUNY Plattsburgh, Feb. 25, 2002.

11. Panel member, "Attracting and Retaining Math Majors", Project NExT, U. Vt.,  MAA Mathfest,  July 31, 2002.

12. "Centers of Triangles", 52nd Annual Mtg., Ellenville, AMTNYS, Oct. 27-29, 2002.

13.  "Beyond Euclid", MAA Annual Fall Meeting, SUNY Potsdam, Nov. 1-2, 2002.

14. "Division of angles by 2ⁿ+1 and construction of n-gons", GSP Geometer's Sketchpad User Group , AMS/MAA Jt. Mtgs., Baltimore, Jan. 15-18, 2003.

15. "The Mathematical Art of M. C. Escher", a joint multi-media presentation with Dr. C. Downing, Art Dept., for Math Awareness Month, SUNY Potsdam, Apr. 28, 2003.

16. "Trisections and the Conchoid of Nicomedes", Geometer's Sketchpad User Group Meeting, AMS/MAA Joint Mtgs., Phoenix, Jan. 6-11, 2004.  
    See also  http://www.dynamicgeometry.com/general_resources/user_groups/jmm+2004/

17. "The Geometry of Antiquity", Geometer's Sketchpad User Group Mtg., AMS/MAA Jt. Mtg., Atlanta, Jan. 4-8, '05. See also http://www.dynamicgeometry.com/general_resources/user_groups/jmm_2005/

18. Panelist, "Recruiting students for mathematics departments", Project NExT, AMS/MAA Joint Mtgs., Atlanta, Jan. 4-8, '05.

19. “On the Geometry of Antiquity”, Learning & Research Fair, SUNY-Potsdam, Apr. 15, 2005.

20. “The Geometry of Antiquity”, AMTNYS Summer Workshop, SUNY-Plattsburgh, Plattsburgh, NY, Aug. 7-10, 2005.

21. “Certain Subgroups of the Isometry Group of the Plane”, MAA Seaway Sec., SUNY-Oneonta, Apr. 27-28, 2007.

22. “Applications of Geometry: Max/Min Problems”, REU Prog., SUNY Potsdam, July 6, 2007.