The purpose of this document is to survey at least some of the important research literature on solving linear equations in order to identify information that might suggest ways to improve teaching effectiveness. The studies that are examined employ a wide range of research techniques, are based often on quite different perspectives, and span over…

The problem investigated was the analysis of a complex figure by identifying simpler figures embedded in it. The primary goal was to determine the level of sophistication of analysis employed by children in the primary grades; a secondary goal was to determine if students could be led to expand their analyses. Drawings and problems were prepared…

Two studies are described which (a) determined whether the generality and inclusiveness of advance organizers (AOs) were the same as the mathematical generality or abstractness of concepts that might be used as AOs and (b) measured the effect of programmed recall of AOs in enhancing the learning of a mathematical concept. (DT)

Four activities encouraging the discovery of geometric relationships involving simple polygons are described. (JT)

Four problems concerning the maximum number of regions determined by circles and polygons are explored. (DT)

Four activities concerning addition and subtraction are described. They range in appropriate grade level from K-2 (crossing out objects) to 6-8 (solving decimal inequalities). Masters for worksheets are provided. (SD)

Worksheets are presented by grade level that give practice in comparing and measuring areas. (MP)

Graphing activities appropriate for grade levels K-8 are outlined and worksheets given. Topics involved include classifying, bar graphs, remainders from a series of divisions, and the greatest common factor of two numbers. (MP)

The nature of estimation and its relationship to measurement are discussed. Several ideas for teaching estimation and evaluating students' estimation skills are provided. (SD)

This is the first part of an article discussing methods for teaching the metric system. Measurement as a function, estimation, and textbook activities are covered. (DT)

These worksheets feature activities concerning fractions. The primary-level activities provide opportunities to develop the concept of a fraction and the intermediate-level activities emphasize computation with fractions. (DT)

This study was performed in order to test the author's notion that advance organizers operate because (1) they provide stable anchorage for concepts to be learned and (2) in order to operate they must be relatable by the student to the new material. To test this hypothesis the author constructed materials for each of ten treatments as defined by…

Using the two posters in this article, students are to search for patterns as a way of counting different types of squares and cubes obtained from a larger square or cube that is printed on the outside edge or surface. (MP)

In this document, available literature is identified and reviewed in order to determine whether there are substantiated cognitive effects associated with the use of games in the mathematics classroom. Three criteria were used for selection of the literature: the treatment was identified as a game; cognitive measures were obtained; and the…