Screencasts for Use with Mathematical REasoning: wRiting and Proof

Dr. Robert Talbert, a colleague of mine at Grand Valley State University, has developed a collection of over 100 screencasts for use with this textbook. These screencasts are an excellent supplement for students to use, especially for those instructors teaching their course with an inverted or flipped classroom model.  Click here to access these screencasts.

LaTeX Resources for Students

Documents for a Portfolio Project

Contact me at if you would like LaTeX files for these documents.

Some hidden mathematics in bar codes and identification numbers

One of the purposes of this short book (less than 30 pages) is show an application of congruences in the marketplace. This is done by introducing the idea of check digits, how check digits can be used to detect errors, and investigating what type of single digit errors and adjacent digit transposition errors these check digits can detect. The check digits for the zip code, the Universal Product Code (UPC), International Standard Book Numbers (ISBN), vehicle identification numbers (VIN), and credit card numbers are discussed. The book contains some problems and questions for student work and has hints or solutions for some of the problems in an appendix. Click on the link above to download a pdf file that contains the book. This is a first draft. Please send comments or suggestions to me at


ProofSpace is a web site (click on the link above) designed to facilitate a flipped classroom for an introduction to mathematical proofs course.  It is a digital location for housing video lectures and screencasts, associated quizzes and problem sets, and other material.  Its content is primarily focused on topics to help bridge the theoretical gap between lower-level computation based mathematics courses and upper-level proof-based courses.