Designed for a broad audience, including educators, camp directors, afterschool coordinators, and preservice teachers, this investigation aims to help individuals experience mathematics in unconventional and exciting ways by engaging them in the physical activity of building geometric shapes using ropes. Through this engagement, the author…

Discusses the need for openness and ownership in mathematics instruction and presents strategies for promoting openness and ownership. Argues that by working to make students partners in the learning process and clearly describing learning targets and expectations, teachers can help students learn more mathematics. (JRH)

Offers a problem for teachers to try with their students. The problem is presented visually as a row of 15 connected squares and the task is to determine the number of rectangles. The goal is to encourage teachers to reflect on students' work and analyze classroom dialogue. (PVD)

Presents ways to stimulate teachers to try several techniques for having students write their own problems and verify their meanings with others to become effective mathematics problem solvers. These techniques include sharing self-generated problems in a Mathematician's Circle and publishing problems on worksheets. (PVD)