The Concept Game, which focuses on the attributes of parity, balance, majority, closure, and skip of seven-digit binary numbers, is described. Originally written as a computer program, the game is modified so that pupils can play with construction paper chips of just paper and pencil. (MP)

Cones as containers and envelopes are discussed with appropriate activities for middle grade children provided. (MP)

Four specific problems are presented, discussed, and extended to illustrate how diverse instructional strategies, materials, and resources can be used to develop problem-solving skills. (MP)

Learning activities based on a geometrical puzzle that consists of rearranging triangles and trapezoids are used to teach concepts involving area. (MP)

Repeating decimals are used as a source for geometric patterns. Ways for generating patterns focus on dividing a circle into certain numbers of equal parts and interpreting the decimal expansions of certain fractions in terms of connecting sequences of points. Suggestions for possible expansions are given. (MP)

Described is an activity that categorizes a two-digit number as "sneaky" if the continued process of taking the difference of the squares of its digits leads to a difference of zero. Other categorizations are determined by whether the difference process ends in a one-digit number or continues in a loop of numbers. (MDH)

Presented is an activity that explores the relationship between the size of a rectangle and the number of squares intersected by a diagonal. Students incorporate pattern recognition and the concept of the greatest common divisor in solving the problem. A sample worksheet is provided. (MDH)

The California Assessment Program (CAP) administers tests to all public school students at certain grade levels, compiles the results, and provides information that allows educators to judge the effectiveness of their programs and make improvements. This sampler describes the types of assessment that CAP proposes to respond to the needed changes…

Presents activities employing LOGO to help create situations that enable students to make meaningful cognitive connections while exploring mathematical relationships. Activities explore the concepts of angles and rotations, progressing from off-line to on-line activities with suggested extensions. (MDH)

Presents a series of four worksheets to develop students' perception of spatial relationships. The tasks require students to use cubes to build models and describe the models by representing the front, right, and top views on grid paper. Provides reproducible worksheets. (MDH)

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)

This book attempts to introduce students to the creative aspects of mathematics through exploratory problems. The introduction presents the criteria for the selection of the problems in the book. Criteria indicate that problems should: be immediately attractive, require data to be generated or gathered, appeal to students from junior high school…

This multi-level teacher's guide for the metric system was developed by a committee appointed by the Alabama Metric Education Advisory Council. It forms a core from which a comprehensive program of study and activities may be developed. Information in the guide includes: (1) a measurement overview; (2) goals and objectives of metric instruction,…