Recounts a sequence of activities that occurred in a senior high school geometry class and helped students to engage in creative reasoning. All student suggestions were discussed by the class, and pursuing alternative solutions was not only encouraged but required. (MKR)

The exploration, discovery, and generation of attractive two-dimensional designs as an approach to informal geometry and spatial learning is discussed. Six activities with brief instructions are presented. (CW)

Gives an example of an open exploration using trigonometric relationships in which the law of cosines can be deduced from the law of sines. Discusses the characteristics and value of the exploration process. (MDH)

Uses conic sections, trigonometric functions, and polar coordinates to solve the problem of determining the shape of a baseball outfield fence, given the distances along the foul lines and to straightaway center field. Graphing programs and calculators are utilized to plot different solutions. (MDH)

Described are some classroom experiences teaching the concept of symmetry by having students create frieze patterns using the computer software "mosaic." Examples produced by 14-year-old students are presented, and student thinking in developing the friezes is discussed. (MDH)

Collections of small objects have often been used in mathematics programs to develop classification and patterning skills. This book synthesizes that body of experience to create a new and original sequence of activities that build upon each other in order to draw out the greatest possible educational richness from the treasures. Treasure Boxes is…

Discusses the use of games to learn mathematics both in the classroom and at home. Games promote nonroutine learning, cooperative learning, problem solving, communication, and reasoning. Included are store-bought games, games made specifically for educational purposes, and multicultural games. A table lists many common games and their uses. (JAF)