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…

Research reported primarily from 1970 through 1975 on the use of manipulative materials at the elementary level (K-7) is reviewed. The research is categorized as deisgn-oriented research, content-oriented research, and catalogs of manipulatives. Each section contains a summary followed by abstracts for each study. References to the theoretical…

Thirty-six prospective elementary education teachers were randomly assigned to three instructional moves: a characterization-exemplification with declarative statements (CED), a characterization-exemplification with interrogative statements (CEI), and an exemplification (E). The purposes of the study were to: (1) examine the efforts of the three…

A two-phase study was designed to investigate the relationship between cognitive skills hypothesized (by Piaget) to underlie number competence, and performance on tasks requiring logical reasoning with number-related concepts. During the first phase, a battery of tasks was administered to 60 kindergarten and 60 third-grade students. These tasks…

This volume includes reports of six studies of the thought processes of children aged four through eight. In the first paper Steffe and Smock outline a model for learning and teaching mathematics. Six reports on empirical studies are then presented in five areas of mathematics learning: (1) equivalence and order relations; (2) classification and…

A hierarchy for learning to solve different types of addition with fractions problems was hypothesized on the basis of both content analysis and psychological considerations. Problem types were defined according to the relationship of the two denominators to each other (e.g., equal, prime, etc.) Students in grades 4 through 8 were each given 45…

This manual is designed for use in inservice work with teachers preparing to use the Comprehensive School Mathematics Program (CSMP) in grades K-2, and as a resource guide for later use. In it, the nonstandard topics used in the CSMP primary program are developed through discussion and a variety of exercises. These topics include the minicomputer…

The contemporary mathematics program set forth in this publication developed as a result of experimentation and evaluation in classroom situations. This is Part 2 of "Mathematics: 8th Year." Part 1, a separate bulletin, was published during the school year 1967-68. The materials in this bulletin are intended to serve as guidelines for…

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 purpose of this study was to collect data to determine the mathematical concepts used in everyday industrial work by technicians in the area of electronics, particularly the graduates of New Mexico Highlands University. The instrument used to gather information was constructed from information contained in related studies, textbooks, and a…

A survey test in mathematics (see TM 000 965) was administered to all pupils in Grade 7 of the Vancouver School System. Test content included arithmetic fundamentals, modern mathematical concepts and mathematical applications in problem solving. A summary of test results is presented in three tables. (CK)

This test was designed to cover the new seventh grade mathematics course (see TM 000 964) in the Vancouver schools. The 45-item multiple choice test designed to be completed within a 70 minute period stresses arithmetic fundamentals, modern mathematical concepts, and mathematical applications in problem solving. (CK)

Test development efforts for constructing 12 items to measure achievement of each of 30 selected mathematics concepts are described. The topics covered are sets, division and expressing relationships. Item and total score statistics for data collected on 196 girls who had just completed the fifth grade during early summer of 1970 and 195 boys who…

TWO METHODS OF RESPONSE DESCRIBED BY PIAGET AND INHELDER FOR DRAWING APPROPRIATE BOUNDARIES AND SELECTING APPROPRIATE PREDRAWN BOUNDARIES FOR HYPOTHETICALLY CUT, SOLID GEOMETRIC FIGURES WERE INVESTIGATED TO SEE WHETHER SECONDARY SCHOOL STUDENTS COULD RESPOND IN APPROPRIATELY TO THE MATHEMATICAL TASKS. THE RESPONSES OF 8TH-, 10TH-, AND 12TH-GRADE…

Language arts games are described that combine mathematical experiences and language development.