Research suggests that embodying mathematical concepts through movement supports improvements in students' spatial fluency, communication, collaboration, critical thinking, and problem-solving skills (Alibali and Nathan 2012; Cone and Cone 2011; Sarama and Clements 2009). This article describes a dance-based strategy that middle school mathematics…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

Spatial abilities help students identify features of various shapes and the relationship that exists among these features. Being able to mentally manipulate images and tell what those images represent are important spatial skills. Research has highlighted the relationship between mathematics performance and spatial abilities. This article's…

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…

Middle school teachers realize the value of students playing games in mathematics classes if those games emphasize problem-solving strategies, algebraic reasoning, or spatial sense. This article describes various versions of the traditional game of nim and shows how working backward can be used to find a winning strategy. The link is then made…

This article describes students using the context of a walk-a-thon for learning about linear and nonlinear functions. (Contains 6 figures.)

This article provides a picture of the learning environment that is created for the preservice mathematics teacher and how development of spatial abilities can be incorporated into courses for these students. (Contains 3 figures.)

Spatial visualization is an important skill that deserves instructional attention. Strong evidence supports the claim that "measures of mathematical ability tend to be strongly correlated with spatial ability" (Anderson 2000). Thus, there is every reason to believe that time spent helping students develop their spatial visualization skills will…

This article describes geometry-oriented problem-solving tasks that can encourage students to develop a positive attitude toward mathematics. The tasks concern working with polyominoes, two-dimensional shapes that consist of squares joined fully at the edges. (Contains 7 figures.)

This article describes the use of commercial games in mathematics to help teach algebraic reasoning, spatial sense, and multistep problem solving. It also provides a description of how one teacher implemented the use of games.

This article describes a middle-school project that challenged students to design scale models of three-dimensional blocks used in theater programs. Students applied skills such as measurement, proportionality, and spatial reasoning in a cooperative setting. (Contains 1 table and 9 figures.)