This book contains 40 lessons in problem solving divided into five chapters. Chapter 1 contains several lessons in which solutions are derived through investigation of numerical patterns. Chapter 2 contains lessons in which problem-solving situations are presented in a graphical context. It also includes two lessons in which students construct…

Uses colored cube combinations to investigate surface area, volume, and axes of symmetry. (ASK)

Relationships between the linear dimensions, surface area, and volume of parallelepipeds are examined. (SD)

Examples of CLOPAK Networks, an approach to covering the plane with symmetrically arranged, close-packed geometric shapes, are given. Implications for the place of networks in geometry instruction are discussed. (MN)

Artistic configurations can be built using a rectangular array of points and number concepts or principles. (SD)

The technique of organizing data in tables to solve counting problems in geometry is illustrated in the solution of five problems. (MN)

Provided are student activities to introduce the geometric concepts of line symmetry and rotational symmetry as related to Hawaiian quilting patterns. Paper squares, scissors, and folding techniques afford the teacher the chance to stimulate class discussion about pattern recognition and to integrate mathematics with the cultural world outside the…

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)

Described is how folk art can be used to teach spatial thinking and symmetry. Activities are open-ended and can be used for all age groups and levels of development. Mathematics is integrated with the study of culture, art, and history in these activities. (KR)