IT IS SUGGESTED THAT THE SECOND YEAR OF ARITHMETIC INSTRUCTION SHOULD BEGIN, IF NECESSARY, WITH REVIEW OF THE WORK OF THE PREVIOUS GRADE. THE NUMBER SYSTEM SHOULD BE DEVELOPED WITH BACKWARD AND FORWARD COUNTING AND THE INTRODUCTION OF 10 AND THE ZERO. THE WHOLE NUMBERS UNIT SHOULD DEVELOP MULTIPLICATION AND DIVISION FACTS THROUGH GROUPS UP TO…

Critically reviewed evidence relevant to hypotheses of biological sources of sex-related cognitive differences as they relate to mathematics achievement include the following: explanations based on the assumption of greater variability in male cognitive performance; sex-related differences in serum urate; effects of estrogens compared to androgens…

This experiment was conducted to determine the efficiency of three forms of an algorithm of known effectiveness and the effects of its availability following initial instruction. The dependent variable was time to solve computational problems requiring rule application. The algorithm was presented in three forms: prose, flowchart, and gradual…

This paper reports an experiment designed to test theoretical relations among fast problem solving, more complex and slower problem solving, and research concerning fundamental memory processes. Using a cathode ray tube, subjects were presented with propositions of the form "Y is in list X" which they memorized. In later testing they were asked to…

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)