A discussion of what constitutes proof is given. Methods of teaching proof in a more intuitive and informal way than is usually done are suggested. (MK)

The necessity for inferring and predicting in everyday life is discussed. Eight activities, ranging from sixth- to twelfth-grade levels, are suggested. (MK)

Provides detailed instructions for constructing a pattern and, then, making a shirt suitable for use in classical and period plays. Suggests variations to adapt the shirt to specific needs. (JMF)

Number patterns discovered by third graders are described and discussed. (MK)

An activity is presented which provides a novel approach to number patterns, experience in following an unusual algorithmic procedure, and practice in systematic search techniques and basic facts. (MK)

The authors develop the idea of Niven numbers and discuss their potential usefulness in the classroom. A computer program to generate Niven numbers is provided. (MK)

The mathematics curriculum should be imbedded into the cultural environment of the student. Discussed is the mathematical educational potential of decorative motif. (PK)

Mathematical activities suitable for reproduction as worksheets are suggested. These activities are adaptations of the classic tower puzzle and are intended to help students discover patterns, make generalizations, and use the strategy of solving simpler problems in order to solve a more difficult one. (MK)

Worksheets for duplication are provided for this activity designed for students in grades 6-10. The objective of the activity is to have students discover generalizations about the patterns formed. (MK)

Discusses the use of flexible straws for teaching properties of figures and families of shapes. Describes a way to make various two- or three-dimensional geometric shapes. Lists eight advantages of the method. (YP)

Uses pentominoes to examine the concepts of congruence, similarity, transformations, tessellations, networks, perimeter, area, and volume in a problem-solving, cooperative learning environment. Discusses the construction of three-dimensional pentominoes. (YP)

Two posters that can be used to provide experience in recognizing patterns in sequences of numbers are provided. Suggested number sequences for different grade levels are given. (MK)

Provides four activities asking students to observe and classify star patterns and to identify polygons and continuous paths while observing similarities and differences. Presents the objectives, directions, extensions, answers, references, and worksheet for each activity. (YP)

The production and application of images based on fractal geometry are described. Discussed are fractal language groups, fractal image coding, and fractal dialects. Implications for these applications of geometry to mathematics education are suggested. (CW)

Quilt-making is presented as an activity that helps elementary school children recognize and appreciate geometry in their world while developing their problem-solving skills. Students choose an appropriate pattern and cooperatively make the quilt. Related measurement questions and problems are provided. (MDH)