Middle school algebra classes were observed to examine the multiple variables interacting in learning of algebra. Middle school algebra classes were especially informative because of the significant impact of the students' cognitive development transitions from concrete to formal operations. The National Council of Teachers of Mathematics (1989)…

This report presents mathematics benchmarks organized into instructional sequences by topic. Each sequence is based upon an analysis of the order of content as it appears among a set of highly rated state standards. The report is intended to inform and guide state or district curriculum directors or others who, starting from content that is placed…

Discussed are techniques of presentation and solution of the Classical Cake Problem. A frosted cake with a square base is to be cut into n pieces with the volume of cake and frosting the same for each piece. Needed are minimal geometric concepts and the formula for the volume of a prism. (JP)

Illustrated is the mathematical analysis of a three-dimensional game using techniques from the calculus of finite differences. This game is an analog of the familiar two-dimensional game, Dots and Squares. (JP)

A type of examination in which additional questions are provided was used for Grade 12 Algebra and College 1 Introductory Calculus. An hypothesis was formulated that this procedure should reveal additional knowledge which whould be reflected in superior average scores for the class group. (Editor)

A game with dice that can be adapted for use at various levels of understanding is presented. (MS)

Sample workcards on number operations, patterns of numbers, and algebraic notation are presented to illustrate how a theme in mathematics can be developed. (DT)