The general purposes of a model are discussed, then seven papers are presented which demonstrate several different facets of the problems associated with constructing and using models of mathematics learning. In the first paper, the task addressed concerns how to incorporate developmental psychology into perceptions of what is happening in the…

This volume contains a series of papers on algorithmic learning. Included are six reviews of research pertaining to various aspects of algorithmic learning, six reports of pilot experiments in this area, a theoretical discussion of "The Conditions for Algorithmic Imagination," and an annotated bibliography. All the papers assume a common…

Nineteen research reports related to mathematics education are abstracted and analyzed. The reports abstracted were selected from 4 educational journals, 2 psychological journals, and a mathematics journal, and from technical reports issued by the University of Wisconsin's Research and Development Center. The research articles deal with…

Eighteen research reports related to mathematics education are abstracted and analyzed. The reports abstracted were selected from seven journals, two books, and a technical report. The majority of the articles reviewed in this volume concern reasoning abilities and mathematical concepts. Logical inference is the subject of four of the studies…

Sixteen research reports related to mathematics education are abstracted and analyzed. The reports abstracted were selected from five educational journals, four psychological journals, a mathematics journal, and a book of readings. Eight of the articles are related to logical thinking, inference, proof, and problem solving. Three reports deal with…

Eighteen research reports related to mathematics education are abstracted and analyzed. Four of the reports deal with aspects of learning theory, five with topics in mathematics instruction (history of mathematics, exponents, probability, calculus, and calculators), four with teacher characteristics, and one each with testing, student interests,…

Twenty research reports related to mathematics education are abstracted and analyzed. Four of the reports deal with aspects of learning theory, ten with topics in mathematics instruction (problem solving, number concepts, number operations, and logic), two with teacher education, two with textbook development, one with testing, and one with goals…

Eighteen research reports related to mathematics education are abstracted and critically analyzed. Seven of the reports deal with general instructional concerns (feedback on homework, error patterns, teacher-student interaction, reading strategies, teacher effectiveness, school attendance, and learning environment), four with topics in mathematics…

The majority of this IME issue is devoted to reviews of recent research reports from the project for the Study of Mathematically Precocious Youth (SMPY) at Johns Hopkins University. An overview is provided of the book "Intellectual Talent: Research and Development", edited by Keating. Nine studies reported in the book are then abstracted…

Thirteen different research reports related to mathematics education, plus a set of five studies by one investigator and his associates, are abstracted and analyzed. The set of five studies is primarily concerned with how students deal with ratio. Of the other studies, one focuses on the longitudinal effects of inservice teacher training; five…

Eighteen research reports related to mathematics education are abstracted and analyzed in this publication. Three of the reports deal with aspects of learning theory, seven with topics in mathematics instruction (problem solving, weight, quadratic inequalities, probability and statistics, area and volume conservation, cardinality), five with…

Seventeen research reports related to mathematics education are abstracted and critically analyzed. Seven of the reports deal with aspects of learning theories, four with topics in mathematics instruction (subtraction, problem solving, division by zero, and high school geometry), two with teacher effectiveness and competency, and four with…

Eighteen research reports related to mathematics education are abstracted and analyzed. Studies include elementary, secondary, and college mathematics education areas. A majority of the studies relate to instruction and learning. Research related to mathematics education which was reported in RESOURCES IN EDUCATION and CURRENT INDEX TO JOURNALS IN…

Seventeen research reports related to mathematics education are abstracted and analyzed. Five of the reports deal with aspects of learning theory, three with teacher education, two with testing, three with children's knowledge and understanding of various mathematics-related concepts, and one each with errors in solving linear equations, classroom…

Twenty research reports related to mathematics education are abstracted and analyzed. Five of the reports deal with various student characteristics, three with cognitive ability, two with teacher characteristics, two with effective teaching, seven with teaching methods and one each with testing and problem solving. Research related to mathematics…