## Links to related Web Pages

Alexander Bogomolny's Introduction to Proofs Page (CTK Software)
Contains a number of nicely presented proofs.

Peter Alfeld's Understanding Math Page (University of Utah)
Contains a lot of hints to get over the hurdles of understanding mathematics and proofs.

Leslie Lamport's Writing Proofs Paper (.ps file)

John D. McCarthy's Advice for writing proofs
Instructor at Michigan State University gives good advice on writing proofs.

University of Toronto's False Proofs page.
A number of false proofs are given with a detailed analysis of where the errors are located.

Mathematics FAQ, by Alex Lopez-Ortiz at University of Waterloo.
This is nearly a book, very structured into subject areas. Fundamental questions include, "What are numbers?" (answered by construction of the number system). Trivia questions include, "What are the names of the numbers (powers of 10) in the U.S. and in Europe?" Besides the usual html with graphics (created by latex2html), this site offers some access (no ps figures) from a text based browser, like Lynx. The entire book is available in dvi and postscript (for downloading or printing).

Making Geometry Dynamic, by Doris Schattschneider and James King at Swarthmore University.
This is a Preface to the authors' (edited) book, "Geometry Turned On: Dynamic Software in Learning, Teaching, and Research." Here they have a fallacious proof that All triangles are isosceles, which can be instructive for students to see flaws commonly made by misunderstanding logical inference.

Quantitative Reasoning, by Bill Briggs at CU-Denver.
This contains "ideas and information about teaching Quantitative Reasoning courses", notably for Math 2000. Class notes includes 12 modules, exams, and "Just for Fun Problems".

Techniques of Proof, by John Lindsay Orr at University of Nebraska--Lincoln.
This is part of the author's Analysis WebNotes. He gives help for showing two sets are equal, a set is closed, and a sequence converges. He also illustrates how to use convergence of sequences to prove other things.

The Technique of Proof by Induction, by David Sumner at University of South Carolina.
This gives an introduction to induction with a variety of examples.