This article describes the A, E, I, O, U technique, designed to help teachers ensure that teaching and learning are not mutually exclusive in the classroom. Most teachers would agree that motivating average teenagers to communicate how they got an answer or justify their problem-solving strategies can be as difficult as teaching a dog to whistle.…

NCTM's Curriculum and Evaluation Standards are often invoked to support many kinds of educational practices; however, the Standards were not written as a prescription for teaching and learning. Instead of taking the Standards literally, educators should use common sense to judge how to use them in individual situations. Includes case study…

Describes the history of the 14th-century mathematician and some samples of his work with word problems. Introduces ways of using historically original sources as a way to interest students and teach mathematics. (KHR)

Describes ways of using existing popular songs, writing raps, or writing new words for existing tunes in the mathematics classroom to supply motivation and mnemonics. (KHR)

Domino games are used to illustrate problem-solving techniques in a college principles-of-mathematics course. Students develop tables and use Pascal's triangle to find the total number of pips and the sum of numbers on the pieces. (DC)