Based on results of a survey that identified the mathematics skills needed to perform successfully in Navy electronics "A" schools, mathematics tests were developed to assess the mathematics skills of entering and graduating electronics "A" school students. The tests were administered to about 1000 entering and 1200 graduating…

Fleet personnel in 10 electronics ratings were asked to indicate: (1) how often they used skills in 20 mathematics topics areas in performing their jobs, (2) the type of work engaged in when employing mathematics skills, (3) whether mathematics skills ability was helpful to job performance, and (4) whether they required mathematics skills not…

An approach to orbital mechanics, which is accessible to beginning physics students and presupposes no knowledge of calculus, is presented. A theory of orbits is developed for the inverse-square central force law which differs considerably from the usual deductive approach. This document begins with qualitative aspects of solutions, and leads to a…

Algebraic equations and geometric forms are useful in teaching and learning composition. Algebraic equations can illustrate the modular nature of paragraph structures and can be refined by students to describe types of paragraphs. Discussion of the "slippery" nature of words and their power of transformation can be a lecture topic as the class…

Discussed are some issues and queries about research in language and language acquisition. In particular, the area of inquiry is the logic subjacent to communication. In question here are the foundations of communication. What, if anything, underlies language? The unorthodox position developed in this paper has ambitious assumptions and slim…

LEVEL I-A UNIT AREAS COVER THE MEANING OF "NUMBER," ADDITION, MULTIPLICATION, SUBTRACTION, AND DIVISION. LEVEL I-B COVERS INTRODUCTION TO COMMON FRACTIONS, COMBINING FRACTION, FRACTIONAL PARTS, SEPARATING FRACTIONS, AND APPLICATIONS. EACH UNIT UNDER I-B HAS SUBDIVISIONS, WITH A PARAGRAPH OF TEACHING HINTS AND EXAMPLES. STRESS IS UPON…

One of a series of guides to the teaching of writing at the elementary and secondary levels, this publication focuses on teaching writing through models that introduce ideas, patterns, and styles through specific examples. The major portion of the publication describes learning activities, grouped into seven categories according to purpose:…

This paper is divided into three parts. Part I connects the reality of the classroom with the idealism which arises from some of the problem solving literature. It is argued that a broader concept of problem solving is needed to provide a perspective for bridging the gap between the conceptions of problem solving in the literature and typical…

This guide provides enrichment for students to develop tools and concepts used in various areas of mathematics. The first part presents arithmetic progressions, geometric progressions, and harmonic progression. In the second section, the concept of mathematic induction is developed from intuitive induction, using concrete activities, to the…

The described inservice teacher education learning module is designed for middle school teachers who are interested in better understanding the relationships of algebraic expressions. The contents of the module are outlined and the activities and resources involved in its use are described. Ordering information for materials is included as well as…

This publication is the first part of a series "Mathematics - Pre-Kindergarten, Kindergarten, and Grade One." This bulletin is a part of the developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. Part One of the program presented…

Research literature concerning children's comprehension of pictures was compiled in order to clarify the role of textbook-type pictures in primary school children's learning of mathematics. The review is presented in eight sections: (1) psychological studies which investigated the role of imagery, comparing pictures with words, including (a)…

This teaching experiment investigated variables which affect how well children learn from manipulative aids and how to use such aids in teaching mathematics. Five small groups from one second-grade classroom were stratified by achievement and taught using (1) counting sticks; (2) Dienes blocks; (3) abacus; (4) all three materials; or (5) counting…

This study examines the extent to which modeling facilitates transformational problem solving in mathematics for children in kindergarten and first grade. Subjects were 20 children selected from each level. They responded to two problems for each of four problem types (counting on, story problems, quantitative comparisons, and ordination) under…

The impetus for this study developed from a search for intervention procedures applicable to children with learning difficulties in the regular grades. It was noted that, when certain aspects of the curriculum which involved extensive repetition were being taught to pupils, approximately 90 percent of the interactions between teachers and pupils…