This text is based on the idea that teachers of mathematics at any level will find it advantageous to be able to point to interesting, useful, and diverse applications of the mathematics they teach. The first chapter describes several graphing techniques used for displaying data and finding meaningful relationships as a result. Subsequent chapters…

THE COURSE IS INTENDED TO GO BEYOND THE REQUIREMENTS OF THE ADVANCED PLACEMENT PROGRAM IN MATHEMATICS AS DESIGNED BY THE COLLEGE ENTRANCE EXAMINATION BOARD. THE ADVANCED PLACEMENT PROGRAM CONSISTS OF A 1-YEAR COURSE COMBINING ANALYTIC GEOMETRY AND CALCULUS. PRESUPPOSED HERE ARE--A SEMESTER COURSE IN ANALYTIC GEOMETRY AND A THOROUGH KNOWLEDGE OF…

Briefly described is a numerical calculus course which provides (1) experience and practice in programing and the use of the computer in problem solving, (2) intermediate and/or advanced techniques in FORTRAN IV programing, (3) elementary error analysis, (4) programing efficiency, and (5) documentation of programs. The course, designed to fulfill…

This introductory calculus book was especially written for the average or below average student. Its primary intent is to give an overview of basic concepts. Written in programmed instruction format, it contains reviews and self-tests. (Average/LS)

Research constructed a computer-assisted instruction (CAI) tutor which could transmit problem solving heuristics, choose examples, handle examples from a range of students, and learn superior student heuristics. Using a student subject model and tutorial strategy, an experiment was conducted with 284 problems. Subject response data indicated the…

This document, a report of a seminar arranged by the Royal Belgian Society of Engineers and Industrialists, contains 35 papers illustrating the application of modern mathematics in engineering. There are eleven sections: Statistics, Operational Research, Boolean Algebra, Numerical Analysis, Eigenvalues, variations, Integral Equations and…

Behavioral objectives for geometry, algebra, computer mathematics, trigonometry, analytic geometry, calculus, and probability are specified for grades 10 through 12. General objectives are stated for major areas under each topic and are followed by a list of specific objectives for that area. This work was prepared under an ESEA Title III…

After briefly reviewing equations of conduction and diffusion, and voltage and charge in electrical circuits, a simple experiment is given that allows students practical experience in a theoretical realm of physics. (MDR)

The author illustrates a test-preparation method that involves boardwork by each student in working out practice tests. (MN)

An instructional program package for individualized learning of calculus is outlined. The program utilizes audio-visual and other instructional techniques and includes topics in limits and continuity, the derivative with applications, and the integral with applications. (MN)

This discussion uses a more difficult reaction as the prototype to derive the standard equation for chemical equilibrium. It can be used by students who can understand and use partial derivatives. (CW)

Presents a method using weighted averages to approximate partial sums of alternating series. Examples are included. (PK)

A calculus course was designed to give students an appreciation of mathematics as a social process rather than a set of techniques. Group activities, problem solving sessions, and a new approach to testing were used. (SD)

In this paper, we will discuss the way various features of consciousness interact with each other and with cognition, specifically, the cognition of mathematical reasoning and problem solving. Thus we are interested in how consciousness and cognition "work," in a somewhat mechanistic way, rather than in larger philosophical questions about…

The integration of History in the educational practice can lead to the development of a series of activities exploiting genetic "moments" of the history of Mathematics. Utilizing genetic ideas that developed during the 14th century (Merton College, N. Oresme), activities are developed and mathematical models for solving problems related to uniform…