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)

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 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)

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)

Describes some developmental changes in children's free creations with pattern blocks and demonstrates how to build on this natural interest to teach Logo programing. (PK)

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)

Includes patterns for and a brief discussion of the polyhedra: octahedron, tetrahedron, dodecahedron, cuboid, prism, and star. (PK)