Resource Library

This lyric written, performed, and recorded in 2018 by Larry Lesser (The University of Texas at El Paso) won honorable mention in the 2019 A-mu-sing contest.  The song helps launch learning about permutations by showing how many ways n distinct objects can be ordered for the first non-trivial case (n = 3), modelling the systematic strategy of listing orderings in alphabetical order to make sure none are missed.  (Before using the song, students can be asked for their prediction – many will say 3 or 9 instead of 6.  After using the song, students can be asked to find the answer for n = 4, which is just small enough to generate by hand.)  The song also introduces vocabulary (“order”, “permuted”, “sort”) commonly used in this context.

This poem (slightly revised from its publication in the January 2013 Journal of Humanistic Mathematics) was written by Larry Lesser from The University of Texas at El Paso.  It is a vehicle to discuss equiprobability bias – the misconception that all outcomes must always be equally likely.

A song for teaching about the multiplication rule.  Using the popular topic among young adults of relationships, the multiplication principle is memorably illustrated by having Paul Simon's #1 hit song (which states only a half-dozen ways to leave your lover, not 50) revisited to show 50 literal paths for ending a relationship: (5 reasons for the decision) X (5 methods to relay the decision) X  (2 options for handling acquired stuff). The lyrics were written by Larry Lesser from The University of Texas at El Paso to the tune of Simon’s same-titled 1975 song.  The audio recording features vocals by Abeni Merryweather and production by Abeni Merryweather  from UTEP's commercial music program.  The song tied for second place in the 2023 A-mu-sing contest.  

The structure of the problem in the song is similar to Exercise 3 in the progressive curriculum sequence outlined in the Spring 2024 Journal of Mathematics Education at Teachers College article “A Problem-based Curriculum to Develop the Multiplication Principle for Counting”: https://journals.library.columbia.edu/index.php/jmetc/article/view/11949/6300

This limerick was written April 2021 by Larry Lesser of The University of Texas at El Paso to be used as a vehicle for discussing probabilities and expected values involved in playing a typical pari-mutuel lottery.  The limerick was also published in the June 2021 issue of AmStat News.

This limerick was written in April 2021 by Larry Lesser of The University of Texas at El Paso to be used as a vehicle for discussing Simpson's Paradox.  The limerick was also published in the June 2021 Amstat News.

A cartoon to teach ideas of elementary probability. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University) in 2008. Free to use in the classroom and on course web sites.

A cartoon to teach ideas of conditional probability. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University) in 2008. Free to use in the classroom and on course web sites.

A limerick to teach the inclusion-exclusion rule for finding the probability of the union of two events.  The poem was written by Marion D. Cohen from Drexel University and published in the January 2021 issue (vol 11 number 1) of the Journal of Humanistic Mathematics.

A limerick to teach the addition rule for finding the probability of the union of disjoint (mutually exclusive) events.  The limerick was written by Marion D. Cohen from Drexel University and published in the  January 2021 (vol. 11, issue 1) Journal of Humanistic Mathematics.

Regression to the Mean is a 2009 poem by Andrew Porter of Wirral, England. The poem can be used in teaching about regression to the mean and the regression fallacy. Free for use in non-profit educational settings. A video featuring the poem being read aloud is at https://www.youtube.com/watch?v=D66I36fksZA