Different regular-polygon-shaped candles wound with a sheet of paper are cut through obliquely. When the papers are unwound, unique patterns are revealed. Investigation of these patterns leads to the discovery of geometric concepts. (JP)

Three worksheets are provided; the aim is to develop skill in visualization of the cube from two-dimensional patterns. (DT)

The first article describes students' activities with tiling patterns and tessellations; the second discusses the use of balances and weights as an approach to number concepts. (DT)

Patterns of equilateral triangles, squares, rectangles, and regular pentagons are provided for students to use in building models of polyhedra. (DT)

Presents activities which use patterns on geoboards or dot paper to develop geometry and measurement concepts. Includes reproducible student worksheets. (MKR)

Observation of patterns constructed on geoboards can lead to discussions of properties of primes, number sequences, and complex numbers. (SD)

Provided are follow-up activities for having students explore the concept of line symmetry. Using a mirror to move a pattern; finding patterns with one, two, or four lines of symmetry; finding asymmetrical patterns; deciding if patterns are different; and solving the problem of finding all patterns possible are discussed. (MNS)

Presents three teaching ideas: (1) investigating patterns in the sum of four numbers in a square array, no two from the same column or row; (2) using three-dimensional coordinates to generate models of three tetrahedra; and (3) applying the K=rs area formula for a triangle to other polygons. (MDH)

Eight teaching ideas involving circular shapes and patterns are described for grades one through eight. (JT)

Proposes angle sense as a fundamental connector between mathematical concepts for middle grade students. Introduces the use of pattern blocks and a goniometer, a tool to measure angles, to help students develop angle sense. Discusses connections between angle measurement and the concepts of rational numbers, circles, area, number theory,…

Presents a unit of study involving tangrams that integrates geometric relationships, scale drawings, graphing, patterns, and logical thinking. Provides worksheets for independent and cooperative activities to discover geometric shapes using a specified number of tangram pieces. (MDH)

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series will…

Presents activities to create designs with different arrangements of square tiles, which gives students an opportunity to make conjectures about perimeter and to make convincing arguments to justify those conjectures. Includes worksheets. (MKR)

The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…