This paper presents an application of integration to the field of hydraulics. An integral relation for the time required to drop the fluid contained in a cylindrical tank from one level to another using a hole in the tank wall is derived. Procedures for constructing the experimental equipment and procedures for determining the coefficient of…

The advent of calculators for graphing and function plotters is changing the way college algebra and calculus are taught. This paper illustrates how the machines are used for teaching the following: (1) domain and range; (2) product and quotient inequalities; and (3) the solving of equations. Instructional hints are provided for each topic with…

This yearbook discusses instructional approaches that are consistent with the reformulation of the school mathematics curriculum by the National Council of Teachers of Mathematics (NCTM). Articles included cover: (1) Pennsylvania standards for mathematics programs (including goals, curriculum, instruction, evaluation, teachers, and…

Abstracts of 12 mathematics education research reports and critical comments (by the abstractors) about the reports are provided in this issue of Investigations in Mathematics Education. The reports are: "More Precisely Defining and Measuring the Order-Irrelevance Principle" (Arthur Baroody); "Children's Relative Number Judgments:…

Presented is a graphical approach to teaching higher degree, rational function, and absolute value inequalities that simplifies the solution of these inequalities and thereby reduces the amount of classroom time that has to be devoted to this topic. Applications are also given for signum functions, maximum-minimum, and points of inflection…

Presented are 13 articles which contain abstracts and analyses of research reports related to mathematics education. The first article considers six working papers, on a variety of topics, from E. G. Begle and the Stanford Mathematics Education Study Group. Of the remaining reports, two deal with problem solving, five with some aspect of learning…

This paper reports on two related instructional intervention projects: one completed and the other ongoing. The first involved a "Tutored-Videotaped-Instruction" (TVI) strategy in a three-course calculus sequence; the second, an NSF-funded project using microcomputers, television, tutoring, testing, and related technologies and methods…

An experiment at Boston University was designed to demonstrate that the computer can be successfully integrated into the traditional introductory calculus course. Over half of the students in an introductory course in 1976 voluntarily participated in a programming project involving applications of the concepts to be studied during the semester.…

The electronic computer has brought about a mathematical revolution in the second half of the twentieth century. Once forbidding calculations are now within the reach of the average student and techniques which before had only theoretical interest have been seen to have practical value too. This book combines some of the familiar results and…

This is part of a series of 42 Calculus Based Physics (CBP) modules totaling about 1,000 pages. The modules include study guides, practice tests, and mastery tests for a full-year individualized course in calculus-based physics based on the Personalized System of Instruction (PSI). The units are not intended to be used without outside materials;…

This is part of a series of 42 Calculus Based Physics (CBP) modules totaling about 1,000 pages. The modules include study guides, practice tests, and mastery tests for a full-year individualized course in calculus-based physics based on the Personalized System of Instruction (PSI). The units are not intended to be used without outside materials;…

This is Part of a series of 41 Calculus Based Physics (CBP) modules totaling about 1,000 Pages. The modules include study guides, practice tests, and mastery tests for a full-year individualized courses in calculus-based physics based on the Personalized System of Instruction (PSI). The units are not intended to be used without outside materials;…

Contains an update of an earlier listing of software for mathematics instruction at the college level. Topics are: advanced mathematics, algebra, calculus, differential equations, discrete mathematics, equation solving, general mathematics, geometry, linear and matrix algebra, logic, statistics and probability, and trigonometry. (PK)

Reviews the message and quality of the film "Stand and Deliver" which is about the methods of a Hispanic mathematics teacher in east Los Angeles and the success of his students. Gives a description of the teacher, his background, and his attitudes. Summarizes the plot of the film. (CW)

An advanced placement calculus program is described that incorporates IBM personal computers, conference telephone connections, modems that transmit computer signals over the phone lines, OPTEL graphics that allow the users to "write" on their computer screens, and a sophisticated package of calculus software used for homework…