Fourteen papers that were presented at an NCTM-sponsored conference on Piagetian research are included in this document. Topics covered include explanations of Piaget's developmental theory and descriptions of studies concerned with the development and growth of the mathematical concepts of proof, logical operations, functions, proportionality,…

The project, consisting of five experiments, attempted to develop remedial procedures and materials for retarded children with learning deficits in the area of arithmetic. Standardized training procedures were devised to facilitate development of operations (conservation, ordination, cardination, and classification) which J. Piaget describes as…

This collection includes 50 mathematical games and puzzles for classroom use at all grade levels. Also included is a wide variety of activities with cubes, flash cards, graphs, dots, number patterns, geometric shapes, cross-number puzzles, and magic squares. (MM)

This study investigates the relationship of socio-economic status to the acquisition of two basic ideas underlying the concept of number conservation, "conservation of identity" and "conservation of equivalence." Tests for conservation of identity and of equivalence, detailed in the paper, were given to kindergarten, first, and second grade…

This paper examines some of the manipulative aids used in elementary mathematics instruction from the point of view of the cognitive structures needed to understand them. The number line, measurement activities, models for place value, and models for fractions are discussed. (SD)

The teacher of mathematics or science must be aware of the concepts, facts, and generalizations of his field, of psychological principles of learning, and of teaching methods. Methods appropriate to the teaching of concepts differ from methods for teaching generalizations. (SD)

The author argues that with the adoption of the metric system of measurement, common fractions became inappropriate to the school mathematics curriculum. (SD)

Ancient numeration systems form the basis for these worksheets. (SD)

An experiment in which slow learners were successfully taught mathematical concepts by audiotape is described. Suggestions for further investigation are offered. (SD)

The author presents a manual notation system for addition and subtraction which promotes achievement and conceptual skills with the primary educable mentally retarded. (Author)

Intended for teachers of the visually impaired, the article provides information on the terminology; symbols; and use of metric ladders for area, volume, and temperature to covert from one denomination to another denomination of metric units. (SB)

The author argues that when behavioral objectives are properly used they can provide direction for learning, and that they need not be restrictive. (SD)

Several activities are described for students at different elementary grade levels. Some involve estimation of quantities, and others include reasoning about permutations and combinations. (SD)

Three games involving prime numbers and exponentiation are described. (SD)

A method of finding large primes is described. High school students can use the test using hand calculators, or by programing a computer. (SD)