Uses pattern blocks to model basic parts-of-a-whole fraction concepts. Suggests that students reflect these models in oral, written, pictorial, and symbolic representations. (MKR)

Describes geometry-related activities that explore tessellation patterns and use origami and paper to create three-dimensional figures and pop-up cards. (MKR)

Presents an activity centering on Baravelle spirals in regular polygons to review and connect a number of algebraic and geometric topics, as well as to involve students in formal calculations, visualization, pattern discovery, series, estimation, and recursion. (MKR)

Presents cost analyses of building a patio, incorporating manipulatives, pattern building, graphing calculators, matrix applications, and functions. Includes reproducible student worksheet. (MKR)

This manipulative learning aid is featured as a tool that allows a teacher to build upon the recognition of number patterns to teach basic mathematical understanding. The activities provide a means to help children refine, develop, and extend their understanding of the number system. (MP)

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

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)

Presents lesson plans for activities to introduce recursive sequences of polygons: golden triangles, regular pentagons, and pentagrams. The resulting number patterns involve Fibonacci sequences. Includes reproducible student worksheets. (MKR)

The problem-solving strategy "look for a pattern" is explored. The staircase problem and the region problem are discussed in detail, with varying solution procedures, and three other problem activities are outlined. (MNS)

Presents suggestions for developing algebraic concepts beginning in the early grades to develop a gradual building from informal to formal algebraic concepts that progresses over the K-12 curriculum. Includes suggestions for representing relationships, solving equations, employing meaningful applications of algebra, and using of technology. (MDH)

Activities and games which use dominoes to reinforce basic arithmetic skills are presented. Instructions and materials are provided for the activities and games, most of which involve addition and subtraction. Other skill areas which are covered include recognition and matching of domino patterns, multiplication, and division. A seven-item list of…

Presents a hands-on mathematics task that can be investigated experimentally to produce a sequence of numbers. Describes ways to extrapolate values of the table of numbers by formulating and verifying a conjecture related to the pattern in the numbers. (MDH)

Presents activities that use visual-geometric models to help students develop their understanding of exponents and division of powers with the same base. Presents opportunities for students to discover patterns for themselves and communicate these findings to others. (MDH)

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,…