The origin of the magic square, its numerical concepts, and some procedures for its construction are discussed. (JT)

Designs and arrangements of pentominoes are examined. (SD)

An activity that offers computational practice, pattern recognition, and the formulation of generalizations is described. (JT)

Some mathematical patterns are explored by visualizing and counting line segments, squares, cubes, and relationships between them. (JT)

Through the use of sequences, geometric progressions and permutations, the author investigates some interesting and unusual questions concerning the number of moves required by each disc in solving the Tower of Hanoi puzzle. (JT)

Number sequence patterns for counting boundaries of familiar figures are extended to higher dimensions. (JP)

Students, using the materials provided, can determine the number of diagonals, number of triangles formed by the diagonals, and degree measures of interior and exterior angles of regular polygons. The activity is designed to lead them to general formulae for polygons with n sides. (SD)

Briefly presented are suggestions on using exercises in number patterns in second-year algebra and factoring quadratics in a 10th-grade enrichment class. (MNS)