Provides some examples of mathematics problems that have solutions involving triangular numbers. Illustrates the observation of number patterns from which conjectures and generalizations can be made. Suggests other extensions for further investigation. (ASK)

Discusses the geometrical array of the keys on a calculator that can be turned into a problem-solving, problem-posing situation for the upper elementary or middle school classroom. Provides figures showing the arrays, including rows, diagonals, crosses, rhombi, angles, and squares. Lists seven references. (YP)

This article presents a chart to illustrate learning paths for children ages 3 to 6 years and sample teaching strategies in the following areas: (1) number and operations; (2) geometry and spatial sense; (3) measurement; (4) pattern/algebraic thinking; and (5) displaying and analyzing data. (KB)