This is the opportunity to be an "insider" into the process of one person's experience of working on a mathematical problem. The experience is enhanced through the support and intervention of a learning mentor who "knows" the learner. This mentor/learner dialogue is documented to describe the problem solving journey. It shows…

Many students at all levels--from middle school to graduate programs for in-service teachers--struggle with visualizing three-dimensional shapes. Many also are challenged to locate appropriate centers of rotation, placement of lines of symmetry, and translation vectors for transformations on the plane. Hands-on experience helps with these…

Activities that enable students to move between two and three dimensions will help them understand solid geometry. This knowledge is critical for teachers, and they need to learn this skill so that they can give their students the opportunity to experience hands-on geometry and benefit from the challenge of creating nets, building models, and…

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…

Many children do not like learning mathematics. They do not find mathematics fun, motivating, and engaging, and they think it is difficult to learn. Computer-based games have the potential and possibility of addressing this problem. This paper proposes a strategy for designing game-based learning environments that takes advantage of the…

There are several possible approaches in which dynamic computerized environments play a significant and possibly unique role in supporting innovative learning trajectories in mathematics in general and geometry in particular. Describes an approach based on a problem situation and some experiences using it with students and teachers. (Contains 15…

The authors present an analysis of portfolio entries submitted by candidates seeking certification by the National Board for Professional Teaching Standards in the area of Early Adolescence/Mathematics. Analyses of mathematical features revealed that the tasks used in instruction included a range of mathematics topics but were not consistently…

This document presents the proceedings of an annual educational research forum held at Wake Forest University (Winston-Salem, North Carolina) on December 10, 2003. A table of contents and 31 research studies of high school teaching are included. The following studies are included: (1) No, Seriously: Humor Use by High School Social Studies Teachers…