This paper studies the difficulties children have solving word problems that correspond to one of the situations modeled by multiplication; that of a ratio (e.g. "candies per box"), multiplied by an extensive quantity (e.g. "boxes") (I x E). Sixty children were individually observed solving and repeating I x E problems. Various…

Presented is a detailed discussion of the performance pattern of third- and sixth-grade pupils in the Los Angeles Unified School District (LAUSD) for the skill area of fractional numbers. The report begins with a brief and general introduction regarding minimum competencies and continues with tables showing the performance levels of non-English…

This set of transparency masters of mathematical puzzles has as its intent the development of logical and perceptual skills. The puzzles include patterns, magic squares, and counting problems. Solutions and follow-up suggestions are provided on the back of each page. (MP)

This book is a partially annotated bibliography of books, articles and periodicals concerned with mathematical games, puzzles, tricks, amusements, and paradoxes. The present volume is an update of volume 3. Except for a few minor changes in classification, the organization remains essentially the same. Most of the more than 2,600 references listed…

Fourteen research reports related to mathematics education are abstracted and analyzed. Two of the reports deal with teacher education, two with problem solving, three with basic operations, and one each with learning disabled students, rational numbers, proportional reasoning, counting, teacher effectiveness, group cooperation on mathematical…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program for the Upper Primary Grades, Part IV. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The four "Galaxy of Problems"…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program for the Intermediate Grades, Part VI. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The six "Collage of Problems" booklets…

Presented is a collection of very brief chapters (or sections) drawn from a variety of sources which discuss the characteristics of the disadvantaged learner. In addition, suggestions for teaching mathematics to the disadvantaged using a laboratory approach are made. Conclusions include a description of the attributes necessary to be an effective…

This is an experimental SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include why study mathematics, decimal and non-decimal numeration, the…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This document provides items to assess student competencies in the mathematics skills which need to be mastered as a requisite to passing the Test of General Educational Development (GED). The items are tailored to the skills outlined in the taxonomy; two items are given for each of the 74 topics. Two multiple-choice response sheets are included,…

On the basis of studies reported elsewhere (SE 019 717 and 719) the author discusses the implications of research on cognitive development for teachers whose subjects involve an understanding of proportionality. Several common methods of teaching chemistry students to use proportionality in chemical problems are described. Research on the…

This teaching guide is for the instructor of an introductory course in computer programming using FORTRAN language. Five FORTRAN programs are incorporated in this guide, which has been used as a FORTRAN IV SELF TEACHER. The base eight, base four, and base two concepts are integrated with FORTRAN computer programs, geoblock activities, and related…

This paper presents descriptions of a variety of learning activities suitable for the elementary grades. The activities were developed by teachers, and contributed by them to this volume. Some of the activities are short while others are intended to be carried out over several days. Paper-and-pencil activities, games, and projects involving making…

Described are the rationale, development and utility with mentally retarded children of the Peabody Mathematics Readiness Test (PMRT), an instrument designed to assess mathematical readiness of normal first graders and identify children who would experience difficulty with first grade mathematics. It is explained that the PMRT was intended to…