Teaching through Problem Solving (TtPS) is an effective way to teach mathematics "for" understanding. It also provides students with a way to learn mathematics "with" understanding. In this article, the authors present a definition of what it means to teach through problem solving. They also describe a professional development vignette that…

The lesson study model of professional development that originated in Japan is becoming increasingly popular in the United States. At its core, lesson study is a means of bringing teachers together to carry out the process of planning a lesson, implementing and observing it, and then examining it during a debriefing session. The debriefing…

This article describes a process by which seven educators collaboratively engaged in developing a shared language to describe the mathematics pedagogy used to guide whole-class discussions as well as the products of their work. Suggestions are made for how others might engage in similarly productive professional development activities. (Contains 3…

Demonstrates techniques for teaching quadratic equations. (KHR)

Introduces human graphing by having students standing on certain coordinates instead of points plotted in ink. Includes teacher tips for success and possible graphing explorations. (KHR)

Presents Grabiner's Use-Discover-Explore-Define (UDED) paradigm as a tool for a teachers' own acquisition of authentic historical accounts of the evolution of mathematical topics and as a pedagogical stratagem for their students as well. (KHR)

Shares broad classroom strategies for enhancing academic achievement for all students and discusses the nature and scope of each strategy. (KHR)