One in a series of ten mini-manuals on office communication proofreading, this booklet for business and office students provides instruction in the use of numbers in written communication. Included are terminal and specific objectives, usage rules and related information, and tasks for practice. A test over the information presented concludes the…

This guide represents the final experimental version of an extended pilot project which was conducted in the United States between 1973 and 1976. The manner of presentation and pedagogical ideas and tools are based on the works of George and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams")…

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…

Eleven research reports in the area of models of learning mathematics are presented in this publication of the Mathematics Education Reports series. The papers represent a mixture of theories, viewpoints, and references to other areas. Content areas addressed range from preschool to college levels. All the papers are concerned with the learning of…

This is part one of a two-part manual for teachers using SMSG junior high school text materials. A chapter-by-chapter commentary on the text is given as well as answers to all the exercises. Chapter topics include: (1) number line and coordinates; (2) equations; (3) scientific notation; (4) applications of percent; and (5) congruence and the…

PIAGET HAS PROPOSED THAT THE CONCEPT OF NUMBER IS PREDICATED ON THE CONCEPT OF CONSERVATION OF SUBSTANCE--THAT IS, THE CONCEPT THAT THE AMOUNT OR NUMBER REMAINS THE SAME DESPITE SPATIAL REARRANGEMENTS. BECAUSE OF THE CURRENT EMPHASIS ON REVISION OF MATHEMATICS CURRICULUM AND OF THE APPARENT VALUE OF NUMBER TRAINING TO PRESCHOOL DISADVANTAGED…

This curriculum bulletin is one of a planned series of bulletins designed to meet the needs of teachers and supervisors who are working to improve the achievement level of mathematics. The material has been planned to help teachers meet the diverse mathematical needs of the children in fifth-grade classes. In addition to the emphasis that is…

This book deals with teaching mathematics to children during the years of three to nine. According to the author, the book espouses "the pedagogical principle that the child ought to have some idea of what is going on." The content of the book is divided into eleven chapters: (1) An Introduction, (2) Counting, (3) Measurement and Quantitative…

This document is the report of a conference attended by an international group of specialists in mathematics and learning. It was convened by the United Nations Educational, Scientific, and Cultural Organization Institute for Education. The general objective of the conference was to examine problems concerning mathematics reform in the primary…

The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of seventh year mathematics. In these lesson plans are developed concepts, skills , and applications. There is an emphasis on (1) an understanding of mathematical structure, (2) growth of a number system, (3) relations and…

The only way to see what is different about the new ways of doing mathematics is to study some new mathematics presented in a new way. This small text is designed for parents to enable them to study some of the new mathematics topics. The two chapters which are included are extracted from a seventh grade SMSG text. Interspersed throughout are…

The purpose of this study was to investigate the effects on achievement and attitude resulting from the use of a calculator-based curriculum and a classroom set of hand-held calculators in ninth-grade general mathematics. Six teachers participated in the study, each having one class in the calculator treatment and one class in the non-calculator…

The objective of the study was to determine the effect which a unit dealing with recursive definitions would have on students' achievement in applying the principle of mathematical induction (PMI). Twenty-four secondary school students were randomly assigned to control and experimental groups. Students in the control group studied programmed units…

The developmental unit, intended to become part of a total K-12 career education curriculum, is designed for use at the kindergarten level. The overall purpose is to promote in the learner an understanding that the three basic skills he is acquiring in school are relevant to those required in everyday life. The unit provides approximately 10 hours…

Studies concerned with the synchronous emergence prediction of Piaget's structures-of-the-whole principle are discussed in conjunction with three groups of concrete-operational skills: (1) transitivity/conservation/class inclusion; (2) double classification/double seriation; and (3) ordinal, cardinal, and natural number concepts. Findings show…