In this article, a mathematics teacher educator presents an activity designed to pique the interest of prospective secondary mathematics teachers who may doubt the value of learning abstract algebra for their chosen profession. Herein, he contemplates: what "is" intended by the widespread requirement that high school mathematics teachers…

The process of prime factor splicing to generate home primes raises opportunity for conjecture and exploration. The notion of "home primes" is relatively new in the chronicle of mathematics. Heleen (1996-97) first described a procedure called "prime factor splicing" (PFS). The exploration of home primes is interesting and…

This article addresses the struggles teachers face when they attempt to change their teaching style in order to achieve an ideal mathematics classroom. With the implementation of the Common Core State Standards, many of the behaviors associated with an ideal mathematics classroom appear within the Standards for Mathematical Practice, on which…