Freshmen at a large suburban high school were given a questionnaire about their attitudes toward tracking or ability grouping. From the 867 students, 50 were randomly selected from each of four levels in the tracking system: honor algebra, regular algebra, fundamentals of algebra, and general mathematics. The majority of students at each level…

The focus of this paper is on the use of frames in achieving understanding of learning and problem solving in school mathematics. The paper seeks to illustrate the use that has been made of frames and frame-like conceptions and to add to the case for the usefulness of such conceptions. Results reported are: (1) those related to more sequential…

Presented are student performance objectives, a student progress chart, and assignment sheets with objective and diagnostic measures for the stated performance objectives in College Algebra I. Topics covered include: sets; vocabulary; linear equations; inequalities; real numbers; operations; factoring; fractions; formulas; ratio, proportion, and…

A complete set of behavioral objectives for first-year algebra taught in any of grades 8 through 12 is presented. Three to six sample test items and answers are provided for each objective. Objectives were determined by surveying the most used secondary school algebra textbooks. Fourteen major categories are included: (1) whole numbers--operations…

This supplementary modern mathematics textbook is to help in-service teachers to broaden their background in mathematical concepts and ideas for grades 1 through 9. This in-service course was written with two basic objectives: (1) to help teachers to become familiar with some of the newer mathematical ideas and concepts for grades 1 through 9, and…

The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of eighth year mathematics. There is an emphasis on (1) an understanding of mathematical structure, (2) growth of a number system, (3) relations and operations in a number system, (4) a development of mathematical skills…

This curriculum bulletin is designed to help teachers meet the diverse needs in mathematics of the children in fifth grade classes. In addition to the emphasis that is placed on arithmetic computational skills, the bulletin shows how to include other areas considered important, such as concepts, skills, and ideas from algebra and geometry. The 80…

This guide contains an outline of topics to be included in individual subject areas in secondary school mathematics and some specific suggestions for teaching them. Areas covered include--(1) fundamentals of mathematics included in seventh and eighth grades and general mathematics in the high school, (2) algebra concepts for courses one and two,…

Reported is the Cooperative College-School Science Program in Computing Science Education which was conducted by the University of Colorado Department of Civil Engineering in the summer of 1967. The program consisted of two five-week terms. The course work was composed of two formal lecture courses in Computer Related Mathematics and Computer…

A novel scoring procedure was investigated in order to obtain scores from a conventional multiple-choice test that would be free of the guessing component or contain a known guessing component even though examinees were permitted to guess at will. Scores computed with the experimental procedure are based not only on the number of items answered…

This document is one of six which set forth the mathematics components of the Project SEARCH Articulated Curriculum developed by the Utica (New York) City School District. Each volume deals with a broad area of mathematics and lists objectives related to that area for all grades from K through 12. Each objective listed is described first in…

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…

Designed for the students who have taken algebra and geometry and who need to strengthen their skills in problem solving and mathematical applications, this guidebook on minimum course content emphasizes the kinds of skills and procedures used in college placement tests. Overall course goals are specified, a course outline is provided, performance…

This document is a compilation of abstracts of 28 research papers presented at the 52nd Annual Meeting of the National Council of Teachers of Mathematics. The major portion of the reports concerned methods of instruction; nine were related to college mathematics, ten on secondary school mathematics, and two at the elementary school mathematics…

This is a catalog of performance objectives and criterion measures covering algebra I, algebra II, geometry, and trigonometry for students planning to take technical mathematics at a junior college. Broad objectives, specific objectives, and criterion referenced test items are presented by skill and knowledge areas within each of the four courses…