Presents a mathematics investigation in which students discover number patterns in physical structures and express their generalizations algebraically. (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)

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)

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

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)

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)

Summarizes research conducted within a series of professional development workshops for teachers in grades K-8 which emphasize basic reasoning skills, integrating manipulative materials, and technology. Demonstrates these principles using patterns, relations, and functions as examples. (Author/MKR)

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,…

Presents an introductory lesson on remote sensing and image processing to be used in cooperative groups. Students are asked to solve a problem by gathering information, making inferences, transforming data into other forms, and making and testing hypotheses. Includes four expansions of the lesson and a reproducible student worksheet. (MKR)

Describes mathematics backpacks containing four mathematics activities designed to (1) strengthen the home-school connection; (2) present open-ended activities that encourage discussion; and (3) engage students and parents in learning mathematical concepts. Provides a sample draft letter to the parents, example activities, guidelines for…