Discussion and examples of the use of computer graphics in science and calculus instruction are provided. (SD)

Four problems in which elementary mathematics can be used in constructing models are described. (SD)

This article shows how two discoverable theorems from elementary calculus can be presented to students in a manner that assists them in making the generalizations themselves. The theorems are the mean value theorems for derivatives and for integrals. A conjecture is suggested by pictures and then refined. (Author/KM)

An overview is provided of De Anza College's use of computerized instruction in its mathematics courses. After reviewing the ways in which computer technology is changing math instruction, the paper looks at the use of computers in several course sequences. The instructional model for the algebra sequence is based on a large group format of…

The problem of finding the area of a regular polygon is presented as a good example of a mathematical discovery that leads to a significant generalization. The problem of finding the number of sides which will maximize the area under certain conditions leads to several interesting results. (LS)

Mathematical investigations pursued by two gifted students are presented. One is written by a boy age 9 with his follow-up at 11; he studied patterns to derive the factors for the difference of two squares. Another boy of 11 discovered formulas for slopes of tangent lines and areas under curves. (LS)

Nineteen Calculus II students were randomly sampled and divided into calculator (n=9) and noncalculator (n=10) groups. These students were asked to "think aloud" while solving 24 Advanced Placement calculus problems. Each student interview was videotaped, coded and analyzed for reasoning process as well as outcome. The results indicated…

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)