Thinking strategies that are related to counting are discussed and activities that are necessary for the understanding of number and counting are suggested. (Author/MP)

Caution is urged in applying the normative-descriptive distinction to selection models, because ambiguities arise when the distinction is actually carried out (AA 529 125). A multidimensional structure may be needed to account for strategy, and the relationship between strategy and such nontask variables as intelligence is needed to clarify the…

Grid paper activities are discussed as a way to help students conceptualize fractions. (MP)

Allowing students to examine different ways of performing an operation is suggested as a means of increasing their understanding. (MP)

A set of square counters is described as a simple way to introduce new concepts and as a concrete way for students to learn. (MP)

Discussed are difficulties which occur while the student is using mathematical induction as a tool to prove theorems. An appropriate approach is suggested. (MP)

The changing aspects of knowledge and attitudes affecting the culturally different gifted are reviewed, and a framework of six significant concepts in learning about these groups, derived from recent literature, is provided. (BD)

Children aged three to six years were taught a specified route through an environment and were tested on their ability to: (1) travel the route in reverse, (2) name the sequence of landmarks along the reverse route, (3) infer the relationship between parts of the environment not directly traveled between, and (4) construct a model of the…

Six common fears that prevent school use of calculators are discussed. Included are a number of positive uses of calculators in the primary grades that teach new concepts rather than simply reinforce those already learned. (MP)

A distinction is made between basic computational skills and skills related to applied mathematics and verbal problem solving. The advantages of using calculators for teaching the latter skills are discussed. (MP)

The influence of artistic style and number of pictures was investigated relative to the ability to associate these pictures with the addition and subtraction of whole numbers. (MP)

Nine children were tested to determine the appropriateness of Piaget's part-whole fraction concept interpretation for both the discrete case and the continuous cases of length and area. (MP)

Benefits, hazards, and limitations in the use of calculators are offered as outlined in the literature. (MP)

An algebra test was constructed within a Piagetian framework. Results of a selection of the test items are given and discussed. (MP)