The use of dice and dominoes in the classroom is discussed as leading from counting activities to pattern recognition and discovery learning. (MP)

This article discusses the use of concrete materials as conceptual models which serve as references for later learning of algorithms. (DT)

Forty seventh-grade students, grouped by ability and instructed by intermediate or maximal guidance with or without concrete aids, were given post and retention tests. Low-ability students using aids achieved higher than those taught without aids. Intermediate-guidance groups had higher mean transfer scores when using aids, with no differences…

The purpose of this study was to investigate the effectiveness of guided discovery and concrete materials on mathematics learning. From the seventh grade of one school, 40 students were selected who were at least one standard deviation above or below the mean on two mathematics achievement tests. Five high ability and five low ability were then…

Different regular-polygon-shaped candles wound with a sheet of paper are cut through obliquely. When the papers are unwound, unique patterns are revealed. Investigation of these patterns leads to the discovery of geometric concepts. (JP)

Homemade geostrips, "angle-fixers" (cardboard circular sectors) and brass fasteners can be used by students to explore properties of angles, triangles and other polygons. Several games and other activities are suggested. (SD)

It is viewed understandable that many teachers consider fractions one of the most difficult mathematical topics to teach. School experiences need careful planning to include sequential activities which develop accurate concepts, and concepts are thought best developed by activities which move along the concrete-to-abstract continuum. (MP)

This document begins with a discussion of the author's approach to instruction in a mathematics laboratory. This discussion includes an enumeration of types of desirable or necessary equipment and advice on the management of a laboratory. The author examines issues related to achievement and readiness for more traditional school experiences in…

This paper discusses six aspects of current practice in mathematics instruction of elementary school children: (1) use of symbolization, (2) use of models, (3) consideration of child development, (4) "logical" vs. "natural" approaches, (5) individualization, and (6) diagnosis and prescription. The author argues that symbols are frequently…

Instructions are given for making a solid from unit cubes joined face to face. Activities lead to design and construction of the SOMA cube, along with other cube puzzles. (DT)