In a classroom teaching experiment, we explored fifth graders' ability to identify relationships in and between two patterns--what we may refer to as functional relationships. Conventional functions curricula are dominated by defining relationships between two patterns via a rule, describing how to find y or f(x) given a particular value for x…

In this article, fourth grade Upper Allen Elementary School (Mechanicsburg, Pennsylvania) teacher Jeffrey Smith describes his exploration of the Playing Basketball activity. Herein he describes how he found the problem to be an effective way to review concepts associated with the measurement of elapsed time with his students. Additionally, it…

Both writing and math require purposeful teaching. This article describes how one teacher discovered that she could teach math in a way that paralleled how she taught writing by researching what students know and then nudging them ahead to the next level of understanding. Just as effective writers employ creativity, perseverance, and revising,…

This article proposes that student-written math riddles can provide worthwhile mathematical tasks that support the learning of important concepts as they engage and challenge children. It describes procedures for guiding students as they create math riddles for their classmates to solve.

This article describes the journey one elementary school took to implement a standards-based mathematics program and increase student achievement by putting research into action. After learning that Evansville Elementary School (Evansville, Wyoming) had failed to meet the annual yearly progress (AYP) in mathematics, as mandated by the No Child…