This document focuses on one child's skip counting methods. The pupil, a second grade student at Steuben School, in Kankakee, Illinois, was interviewed as she made several attempts at counting twenty-five poker chips on a circular piece of paper. The interview was part of a larger study of "Children's Conceptions of Number and Numeral,"…

Used as an integral part of the migrant student skills system operated by the Migrant Student Record Transfer System (MSRTS), the mini-math skills list contains a catalog of math skills typical of the 4-6 grade range. The document presents an explanation of terminology used for MSRTS mini-math outline: areas, topics, subtopics, and skills. It…

Many children are known to leave school with mathematical deficiencies, particularly from the inner city. While manipulatives are generally used to teach and reinforce understanding of operations, concepts, and abstractions, the use of concrete objects is not viewed to fully involve the student in the learning process. A finger system of…

In this document, detailed objectives for each grade level are listed according to the following categories: for grades K-9, numeration, basic operations, fractions, money and time, and measurement and geometry; for grades 10-12, numeration, basic operations, fractions, and practical applications. Each objective is keyed to an expected level of…

THE PROGRAM ATTEMPTS TO TEACH NEW MATHEMATICAL CONCEPTS TO ELEMENTARY SCHOOL CHILDREN WITHOUT THE BURDEN OF LEARNING A COMPLETELY NEW VOCABULARY. THE PROGRAM WILL SEEK A HIGH DEGREE OF PUPIL INVOLVEMENT BROUGHT ABOUT BY FOSTERING A SPIRIT OF INQUIRY AND INVESTIGATION. THE ABSENCE OF "ANSWERS" FROM AN AUTHORITY WILL BE NOTED THROUGHOUT…

Forty-five children aged four-and-a-half to five-and-a-half years old were given number conservation tasks in three conditions: (1) a count condition in which children were helped to count each set after the transformation; (2) a match condition in which children were helped to connect by a string each animal with its peanut; and (3) the standard…

The inservice learning module described focuses on teaching mathematical concepts at the elementary grade level. Specifically covered in the module are discovery learning, drill activities, understanding number concepts, and introduction to geometry. Information is provided in this descriptive report on the scope and sequencing of topics and the…

This programed textbook consists of short sections of text interspersed with questions designed to aid the student in understanding the material. The course is designed to increase the student's understanding of some of the basic ideas of algebra. Some general experience and manipulative skill with respect to high school algebra is assumed.…

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…