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…

A Word Problem Program was set up to teach elementary school students how to solve arithmetic word problems and to teach some problem solving skills applicable to nonword problems. All instruction is accomplished through a computer program. Goals of the program are described along with three basic instructional decisions and the reasons for them,…

This mathematics curriculum resource handbook provides background information and techniques of instruction designed for instructors helping students to prepare themselves for the General Educational Development Tests. It consists largely of fundamental concepts which high school graduates are expected to retain, together with some techniques…

The series "Soviet Studies in the Psychology of Learning and Teaching Mathematics" is a collection of translations from the Soviet literature of the past twenty-five years on research in the psychology of mathematical instruction. Also included are works on methods of teaching mathematics directly influenced by this research. The aim of…

This guide for a mathematics curriculum for grades 1-4 presents topics in sequential order for the entire four-year program. Grade level was not used for separating units; instead, an integrated sequencing of concepts was used in preparing this guide. The relationship between units is specified for the teacher as an explicit mapping of how a…

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…

The appropriate and effective uses of the computer in an individualized school were examined in this project. The project investigated the uses of computers for instructional assistance, including testing, management, tutorial instruction, drill and practice, exploration and discovery, and problem solving; the design of a small computer…

LOGO is a programming language developed at Bolt, Beranek and Newman, Inc., specifically for use in teaching. It provides the student with a set of numerical and symbolic primitives as elements for gradually building extended, complex program structures. The building of these structures is facilitated by a procedure-oriented programming heuristic…

PSYCHOLOGICAL PRINCIPLES INVOLVED WITH RULE GENERALITY (DEGREE OF NONSPECIFICITY) AND PERFORMANCE CONSISTENCY IN MATHEMATICAL PRESENTATIONS WERE STUDIED. SPECIFICALLY, THE PURPOSES WERE (1) TO DETERMINE IF TEST BEHAVIOR CONFORMS TO THE SCOPE OF A VERBALLY ADMINISTERED TEST RULE, (2) TO EXPLORE THE INTERPRETABILITY OF VERBAL TEST RULES, AND (3) TO…

Numerous mathematical examples are presented which illustrate and raise questions about students' tendencies to overgeneralize. (BB)

A sample of 266 eleventh-grade students were used in this research project. The findings imply that particular emphasis should be placed on practice in formula derivation. Other activities related to verbal computational problem-solving ability should be reserved for home assignment. (MP)

The direct quote word problem from scientific literature is suggested as a means of demonstrating the relevance of mathematics to other fields. (MP)

Analyzed are textbook word problems that are typically used as applications of mathematics and shows some of the difficulties in making these problems realistic. A discussion and examples of sources of genuine mathematical applications in real life follows. (MN)

Misconceptions that children exhibit about area concepts are identified. Diagnostic teaching suggestions are given. (JT)

Children between the ages of 10 and 13 were asked to write stories to accompany five computational problems. Stories were scored for suitability and it was found that students were most successful on subtraction and least successful on multiplication stories. Scores on this test correlated with mathematics achievement scores. (SD)