An activity similar to magic squares is described. (SD)

Magic squares are developed beginning with square arrays of playing cards. (SD)

The author's experience in leading activities related to the Mobius strip to a fourth-grade class is discussed. (SD)

Properties of a given array of numbers are discussed and some sample activity cards involving discovery of number patterns are presented. (MP)

A variety of calculator activities is described for developing problem solving skills without getting involved in tedious computations. (JT)

Properties of the harmonic number triangle are listed, and ways of generating the elements of harmonic triangles are described. (MNS)

Presents three investigations related to the game Bulgarian Solitaire. Investigations ask students to find and represent optimal solutions to the problem, to identify cyclical solution patterns for different numbers, and to respond to questions involving the number and nature of the cyclical solutions. An appendix provides answers to questions.…

Describes learning activities in which fifth and sixth graders used spreadsheets to explore the shapes of numbers. Discusses creating spatial patterns with a computer draw program; examining number patterns in a spreadsheet; comparing square and rectangular numbers; and creating the multiplication times table. (AEF)

Using the methods described, pattern representation of operations in modular systems can be developed. (SD)

The problem-solving skills of logical thinking, critical thinking, visualization, and communication skills are linked with some activities for students. Sample activities with logic, strategies and patterns, breaking fixed notions, open-minded problems, spatial visualization, and communication are described. (MNS)

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)

Provided is a teacher's guide for a problem-solving activity that establishes a link between number patterns and geometry by focusing on the development of recurrence relations established when generating central polygonal numbers. Reproducible worksheets and a 3.0 BASIC program for the activity are given. (MDH)

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…

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…