Professor   

Contact Information

 Autumn 2008 Course

A Sampling of Websites with Applets and Other Activities for Discrete Mathematics

        Click here for a listing.

Resource Page for Discrete Mathematics with Applications, 3rd Edition

        Click here.

Education

Ph.D. (Mathematics) University of Chicago, 1968
          (Dissertation Title: Submodules of Cayley Algebras, Advisor: Irving Kaplansky)
   
M.S. (Mathematics) University of Chicago, 1965
   
B.A. with highest distinction (Mathematics) Northwestern University, 1964

Selected Publications

Undergraduate Programs and Courses in the Mathematical Sciences: CUPM Curriculum Guide 2004, Washington, D.C.: The Mathematical Association of America, 2004. (Co-author with Harriet Pollatsek et al.) Click here to link to the Internet version of the book. Click here for a brief article about the curriculum guide. 

The Role of Logic in Teaching Proof, American Mathematical Monthly (110)10, Dec. 2003, 886-899. Click here to see a pdf version of the article. The article was first published by the American Mathematical Monthly, which holds the copyright with all rights reserved.

Discrete Mathematics with Applications, 3rd Edition, Belmont, CA: Brooks/Cole Publishing Company, 2004. (1st Edition, Belmont: CA: Wadsworth Publishing Company, 1990, 2nd Edition. Pacific Grove, CA: Brooks/Cole Publishing Company, 1995.)
   
Report on the NCTM Principles and Standards for School Mathematics (with Kenneth Ross). In FOCUS, The Newsletter of the Mathematical Association of America, August-September 2000.

The Language of Quantification in Mathematics Instruction. In Developing Mathematical Reasoning in Grades K-12. Lee V. Stiff, Ed. Reston, VA: NCTM Publications, 1999, 188-197.

A Unified Framework for Proof and Disproof. The Mathematics Teacher, vol. 91, no. 8, November, 1998, 708-713.

Logic and Discrete Mathematics in the Schools. In Discrete Mathematics in the Schools, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 36. Joseph G. Rosenstein, D. S. Franzblau, F. S. Roberts, Eds. Providence, RI: AMS Publications, 1997, 75-83.

The Role of Proof in Problem Solving. In Mathematical Thinking and Problem Solving. Alan H. Schoenfeld, Ed. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc., Publishers, 1994, 257-269.

Precalculus and Discrete Mathematics. Glenview, IL: Scott Foresman, 1991. (Co-author with Anthony Peressini, Zalman Usiskin, et al.)

The Logic of Teaching Calculus. In Toward a Lean and Lively Calculus: Report of the Conference Workshop to Develop Curriculum and Teaching Methods for Calculus at the College Level. Ronald G. Douglas, Ed. Washington, D.C.: Mathematical Association of America, 1987, 41-59.

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