In the buzzing activity of the mathematics classroom, teaching in a way that effectively responds to and furthers students' thinking can be quite challenging. Given that teachers' instructional decisions will directly influence students' learning, it is extremely important to develop the sorts of practices that lead to productive in-the-moment…

The authors introduce an educational video game (application, or "app"), "CandyFactory Educational Game," designed to promote students' development of partitive understanding of fractions while demonstrating the critical need to promote that development. The app includes essential game features of immediate feedback,…

Many preservice teachers are introduced to NCTM's "Principles and Standards for School Mathematics" (2000) and practices that support those Standards as part of their teacher education programs. They often appear to accept the underlying principles, and many intend to implement this type of instruction in their own classrooms. Unfortunately, as…

Interactive whiteboards are somewhat unimpressive at first and look like the whiteboards that already hang on the walls of many classrooms. However, integrating interactive whiteboard technology in a unit on adding and subtracting integers enhances student engagement and understanding. In this article, the author describes how she used an…

The increase in the diversity of students and the complexity of their needs can be a rich addition to a mathematics classroom. The challenge for teachers is to find a way to include students' interests and creativity in a way that allows for rigorous mathematics. One method of incorporating the diversity is the development of "open-ended…

Teachers know that real mathematical understanding includes the higher-level skills of comparing, contrasting, and making connections among different computational approaches. What mathematical connections can students make when asked to explore a task that is posed in three different ways? This article describes a unique task structure that helps…

This article presents major results of TIMSS, along with practical suggestions and questions that mathematics teachers can ask themselves in terms of how to apply the results to the improvement of their practice.

This article describes a step-by-step procedure to differentiate instruction through tiered lessons. (Contains 3 figures.)

Describes a professional development activity that offers a way for teachers to analyze their current classroom discourse practices and move toward the goal of dynamic and productive mathematical discourse. (ASK)

Describes the experiences of a secondary mathematics education student as a MATHCOUNTS coach for sixth graders. Explains the program, coaching duties, and how the approach evolved in trying to shift student focus from finding the right answer to finding a logical approach to solving problems. Discusses the experience in terms of the National…

This article describes a teacher's techniques and strategies for promoting productive discourse and supporting active learning in the mathematics classroom. The lesson excerpts included are from two days of a workshop with primarily middle-grades teachers. These excerpts demonstrate the teacher's typical progression through defining a problem,…