This profile is designed to be a recording sheet for monitoring an individual student's progress throughout the school year. Seventh grade assessment materials and the Strategies for Instruction in Mathematics suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of the four levels…

Whole numbers written in spiral or triangular patterns with spaces occupied by prime numbers blocked in produces interesting visual patterns. Described is a game based on these patterns that may be played at many different levels. (JP)

The development of concepts of equivalence was studied in a group of 256 children, ages 4-8. The relative difficulty of these concepts is interpreted in terms of the young child's difficulty in understanding spatial arrangement and heterogeneity as irrelevant to numerical size. (Author/KM)

Presented are a series of word problems which give students the opportunity to use or develop problem solving skills. The problems are open-ended, with possible answers included. (JP)

Presented is an example of how a child adopted an incorrect method for solution to arithmetic sentences. Methods for detecting and correcting this behavior are discussed. (JP)

Materials and learning activities for a broadened approach to number line study, measurement relationships, and slide rule instruction are described. (DT)

Cuisenaire, Dienes and traditional methods of teaching mathematics were compared by pre- and posttesting pupils in British junior schools during a three year period (1961-63) on mechanical and problem arithmetic, concept knowledge and attitudes. Details of the varied experimental design are given in addition to data and interpretation. (JP)

Finding patterns in the relationship between the number of sides in a polygon and the total number of diagonals is used as vehicle to discuss discovery learning. (DT)