This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This guide outlines the curriculum for a ninth-year mathematics course for students not prepared to cope with the usual first-year algebra course. It is intended to provide personal relevance for these students by including supplementary units on probability and statistics, slide rule use, flow charting and use of calculators, consumer…

This material, organized in a workbook format, was developed to be used with the non-college bound, lower one-third of the ninth-grade student population. Topics covered are flowcharts, set theory, number systems (natural numbers, whole numbers, integers, and rationals), number operations, percentage, measurement, finance, geometric constructions,…

This monograph attempts to provide the teacher with examples, techniques, and tips for developing order in number. Topics covered include pre-number order and classification; beginning number activities; number lines; the 100-square counting chart; ordering the integers; fractional numbers; and games, counting rhymes, and other activities. A…

The ten chapters in this booklet cover topics not ordinarily discussed in the classroom: Fibonacci sequences, projective geometry, groups, infinity and transfinite numbers, Pascal's Triangle, topology, experiments with natural numbers, non-Euclidean geometries, Boolean algebras, and the imaginary and the infinite in geometry. Each chapter is…

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)