The uses of programable calculators in the mathematics classroom are presented. A discussion of the "microelectronics revolution" that has brought programable calculators into our society is also included. Pointed out is that the logical or mental processes used to program the programable calculator are identical to those used to program…

This study investigated the effects of the use of hand-held calculators on problem solving and computational skills of elementary school students. It also considers the resulting implications for curriculum change. Evaluation focused on achievement in problem solving, computational skills, and number concepts of kindergarten, second grade, and…

This book is intended to make common fourth-grade mathematical concepts both interesting and easy to understand. The text is designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. The reading level required of pupils has been reduced. Individual chapter titles are:…

The purpose of this paper is to identify how the theory and techniques of research in cognitive development can be applied to the study of learning and instruction in mathematics. Five basic research paradigms are characterized; major directions of research on number, measurement, geometry, and adolescent reasoning are identified. Most of the…

The purpose of this study was to test the effect of several cognitive development capacities on first-grade children's ability to learn basic concepts and skills of linear measurement. The cognitive capacities of interest were logical reasoning ability and information processing capacity. The hypotheses predicted that children who had not yet…

Research conducted at the Institute of General and Pedagogical Psychology of Moscow, and based on the premise that the development of thought processes is a direct product of the social environment, is described. As a corollary to this premise, Piaget's view that the development of the thinking process occurs in orderly fashion is questioned.…

In a study of mathematics learning, taking a rule-oriented approach, students were taught to trade objects of type A for objects of types B and C. Children ranging from ages 7 to 9 were given rules for converting A to B and B to C and were then presented with the task of converting A to C. Of the 30, 6 succeeded. Of the 24 who failed, half were…

This volume records the papers presented at a Northwestern University symposium concerning the articulation of cognitive psychology with mathematics education. Piagetian theories are described and extended to classroom applications in several of the papers; other psychological theories such as information processing are also discussed. All of the…

To facilitate the education of the bilingual child (particularly the Indian or Spanish-speaking one), methods of teaching English as a second language should be applied at all educational levels and in all areas of learning. The bilingual student's academic success is closely related to his ability to understand and to use the dominant language.…

This study is one of a series which attempts to arrive at generalizations about the learning of mathematics and the use of its terminology in the context of mathematical structure by young children. The first half of the document describes an experimental training program designed to integrate mathematical concepts of metric space, arc length, and…

A study was developed to evaluate the effectiveness of a preinstruction retention index (designed to maximize recall of mathematical concepts by predicting the idiosyncratic number of examples per mathematical concept required by each student). Subjects, 27 female and 26 male eighth grade students, were administered a retention measure through…

This bibliography has been compiled to alert educators to documents about concept development in young children, particularly the development of number concepts found in the ERIC microfiche collection and in journal literature. Abstracts of selected documents were taken from "Research in Education (RIE)" and journal article citations from the…

This document suggests learning activities for kindergarten children to develop skills of basic reasoning and numerical calculation that the children will be using throughout life. This teacher's guide provides a list of games and activities and discusses the relationship between the games and their themes and their intended educational…

This research paper proposes several mathematical models which help clarify Piaget's theory of cognition on the concrete and formal operational stages. Some modified lattice models were used for the concrete stage and a combined Boolean Algebra and group theory model was used for the formal stage. The researcher used experiments cited in the…

Describes a study designed to determine if college students' success in writing computer programs is related to level of cognitive development as described by Piaget, verbal ability, and mathematics reasoning. Regression analysis showed that level of cognitive development, when combined with verbal reasoning, is linearly predictive of programming…