This introductory activity explores the advantages of different roof shapes for different climates or situations. It addresses questions such as "When you walk or drive around your neighborhood, what do the roofs look like?" and "What if you lived in an area with a different climate, how would that affect the style of roof that you might find?"…

The study of trigonometric functions in terms of the unit circle offer an example of how students can learn algebraic relations and operations while using visually oriented thinking. Illustrations are included. (MNS)

Presents six construction problems in which key parts of the figure are made inaccessible, that is, a lake or an obstruction is inserted. Encourages creative thinking while improving problem-solving skills. Students are to show the construction, describe the solution, and verify correctness of the solution. (LDR)

Building projects with blocks provide opportunities to foster creative thinking skills. The connection between blocks and thinking how to implement the strategy are included, along with examples. (MNS)

Presents illustrated examples that promote problem solving through the student's consideration of a visible predicament from a three-dimensional viewpoint rather than the typical planar perspective. Includes six student exercises involving rays, circles, quadrilaterals, and hexagons, with hints and solutions provided. (JJK)

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)

Presents activities to create designs with different arrangements of square tiles, which gives students an opportunity to make conjectures about perimeter and to make convincing arguments to justify those conjectures. Includes worksheets. (MKR)

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…