Track cards are manipulative materials used to promote verbalization, spatial perception, eye-hand coordination, simple problem solving, and fun in doing mathematics. (JT)

Transformations are defined and described through many examples. Teaching aids and activities for teaching about transformations are suggested. (JT)

Paper squares, each divided into eight congruent triangles, can be used in a variety of activities introducing ideas related to symmetry, pattern, and geometric transformations. (SD)

Presented are the mathematical explanation of the algorithm for representing rational numbers in base two, paper-and-pencil methods for producing the representation, some patterns in these representations, and pseudocode for computer programs to explore these patterns. (MNS)

Seventeen visually impaired children, aged 7-11 years, were compared with sighted children on a test of facial recognition and a test of expression identification. The visually impaired children were less able to recognize faces successfully but showed no disadvantage in discerning facial expressions such as happiness, anger, surprise, or fear.…

A computer program is presented for the billiard ball problem. It can be integrated into a lesson on inductive reasoning and suggests several ways to do so. (MNS)

Investigates the relative influence of speech and pointing gesture information in the interpretation of referential acts among children averaging three and five years of age and adults. (HOD)

Patterns resulting from polygonal numbers are explored, with examples of triangular, square, pentagonal, rectangular, and other numbers. Tables and formulas to be developed are included. (MNS)

A useful approach for developing insights and discovering patterns is to examine numbers in relation to the number of their divisors. A teaching procedure for this approach is presented, with questions, answers, and homework suggestions. (MNS)

Three worksheets are given that use calculators to free students from computational restrictions and allow them to focus on the recognition of patterns and the application of numeration concepts in the development of their estimation skills. (MNS)

A mathematics unit which introduces number concepts through the use of patterns. All activities are based on the formation of patterns involving blocks or tiles of two colors. (RP)

Properties of the harmonic number triangle are listed, and ways of generating the elements of harmonic triangles are described. (MNS)