This is part three of a three-part manual for teachers using SMSG high school text materials. The overall purpose for each of the chapters is described and the mathematical development detailed. Background information for key concepts and answers for all exercises in each chapter are provided. Chapter topics include: (1) vectors and curves; (2)…

Several examples are given of a variety of nonstandard problems, not ordinarily found in texts or courses, now accessible to students who have programmable calculators. These include: (1) finding limits; (2) evaluating infinite series; (3) calculating finite series; (4) computing variable length products; (5) solving equations; (6) searching for…

The purpose of this study was to determine if different teaching approaches produced differences in learning the limit and the derivative concepts in beginning calculus as measured by a common criterion test. An ordered combination of two teaching approaches--the concrete inductive and the abstract deductive--was used for the two sequential topics…

This is Part II of the first volume of the proceedings of the Committee on the Undergraduate Program in Mathematics (CUPM) Geometry Conference, held at Santa Barbara in June, 1967. The purpose of the conference was to consider the status of geometry in colleges at the undergraduate level. This volume contains two lectures: "The Geometric…

Computer technology, as an effective means for precisely simulating mathematical concepts and problems, could meet the need for new visual approaches to mathematics education. Computer generated imagery can not only accurately display two- and three-dimensional illustrations from mathematical models, but high precision images are economically…

Very little material exists for utilizing the computer in the physics classroom, and even that little is not widely known. It is hoped that this monograph will provide some stimulus both to innovation and to discussion of the role of the computer in physics education. The paper describes how this might be achieved with a detailed account of one…

This document is a guide to the advanced placement program in calculus for grade 12 in the city schools in Warren, Ohio. The program covers analytic geometry, differential and integral calculus of algebraic functions, elementary transcendental functions, and applications of differentiation and integration. The philosophy and aims of the program…

Reported are detailed recommendations on the mathematics offerings in two year colleges which include the usual range of university parallel programs. The basic program is considered under four headings: Calculus Preparatory, Calculus and Linear Algebra, Business and Social Science, and Teacher Training. Twelve courses are discussed and outlined…

Multiple regression analysis was employed to determine the interactive effects of student motivation, prior mathematics preparation, and instructional method on achievement in a calculus course taught in lecture and Personalized System of Instruction (PSI) formats. A significant interaction between mathematics preparation and instructional method…

Two articles in the "Scientific American" form the background of this note. The rainbow angle for the primary bow of a monochromatic Cartesian rainbow is calculated. Special projects for senior high school students could be patterned after this quantitative study. (MP)

Discusses how the International System (SI) abbreviations for numerical factors designated as prefixes may be treated in quantity calculus as free-standing algebraic symbols. Illustrative examples are also presented. (HM)

This problem solving strategy is illustrated by examples from the fields of algebra, trigonometry, geometry, and calculus. (MP)

Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)

Discusses the rationale for and results of an undergraduate course in calculus using modularized mastery level instruction. The salient features of the present program are instructor controlled learning with modularized materials, immediate results on quizzes, and lecture-recitation sessions. (VT)

Examples are provided of a method of successive approximations suitable for use in a freshman level chemistry course. (CP)