Describes the Circle Scribe Disk Compass and explains its use in helping children to explore patterns and geometry. Topics include Fibonnacci's spiral and regular polygons. (MM)

Shares how students worked on a geometry activity that emphasizes patterns featured in this journal. (ASK)

Explains using different historical methods to create magic squares. (Contains 10 references.) (YDS)

Uses spatial visualization to make connections among Zeno's paradox, geometry, fractions, infinite series, and limits. (YDS)

Presents a project that addresses several components of the Algebra and Communication Standards for Grades 9-12 presented in Principles and Standards for School Mathematics (NCTM, 2000). Describes doing mathematical modeling and using the language of mathematics to express a recursive relationship in the perimeter and area of the Koch snowflake.…

Describes a lesson plan using a chambered nautilus to connect geometry and poetry which can be easily adapted to a wide range of levels. (YDS)

Describes vortex tessellation in which an individual tile becomes smaller, and swirls or spirals inward to the center. Provides mathematical uses of this type of tessellation. (ASK)

This book offers ideas to enrich instruction and help teachers explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, the symmetries, patterns, processes, paradoxes, and surprises that have facilitated generations of great thinkers are revealed. Activities include: (1) The Beauty in…

Looks at the connection between soccer fields and mathematics to help students understand middle school geometry topics. Presents an activity in which students explore relationships among polygons to discover which combinations tessellate and which combinations form polyhedra. (ASK)

Examines existing research literature which suggests that introducing computing tools can help students focus on the relevant aspects of a problem, function at higher levels of geometric understanding, distinguish between drawings and constructions, and develop and reason about conjectures on the basis of generalization of patterns. (KHR)

Presents materials and methods that maintain student interest and encourage them to think creatively, develop mathematical reasoning, and look at problems from different perspectives, all within an open-ended approach to problem solving. Includes questions for discussion. (KHR)

Presents a problem-solving activity, the birth order problem, and several solution-seeking strategies. Includes responses of current and prospective teachers and a comparison of various strategies. (YDS)