Presents a problem related to mass balances for checking the consistency of measured data from a process. Provides the solution to the problem with diagrams and calculation tables. (YP)

The problems in this book are intended mainly for students in junior high school and junior secondary classes, but many will interest students at higher levels. Most of the problems fit quite easily into the regular curriculum, and could be used by both teachers and parents. The book has 11 chapters, all but one of which contain problems and their…

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…

This review of methods used to assess the clinical performance of medical students focuses on four common assessment approaches: (1) the examination developed by the National Board of Medical Examiners (NBME); (2) systematic, multifactor evaluation methods; (3) observation techniques; and (4) problem based methods. Analyzed in conjunction with…

This booklet contains 11 modules (290 multiple-choice items) designed for use in the first course of a three-course calculus sequence using the textbook "Calculus with Analytic Geometry" (Dennis G. Zill). In each module, relevant sections of the textbook are identified for users. It can, however, be used in conjunction with any calculus textbook.…

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…

Assessments were made of the impact of various overt response modes on the problem-solving process. The Luchins Water Jar Problems were presented to undergraduate university students via interactive cathode ray tube computer terminals under four response mode conditions: Mnemonic Code, Multiple Choice (MC), Numerical List, and Constructed Response…

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…

As part of the Mathematical Problem Solving Project, MPSP, the goals and purposes of miniprojects are explored. Various conjectures are presented which are based partially upon observation of children working on projects and partially upon the opinions of mathematicians who have observed how problem-solving processes are used in real-world…

In this study three issues related to "expert" problem solving were studied; the problems considered were based on Tower of Hanoi puzzles. A computer simulation was proposed and tested, effects of cues on subjects' performance were studied, and inter-problem transfer was analyzed. Four predictions were posed for the simulation study. Two of these…

This booklet contains some 80 problems in mathematics suitable for computer solution. The problems range from very simple to complex. Problems have been included from most mathematic disciplines, including number theory, analytical geometry, probability and statistics, trigonometry, equations, and sequence and limits. For the most part these…

Four study segments of the Self-Paced Physics Course materials are presented in this eighth problems and solutions book used as a part of course assignments. The content is related to magnetic induction, Faraday's law, induced currents, Lenz's law, induced electromotive forces, time-varying magnetic fields, self-inductance, inductors,…

The overall results of the fourth U.S.A. Mathematical Olympiad are discussed. The names of the eight finalists are listed, as are the problems in the test. (SD)

Suggestions are given for activities to use to introduce common and decimal fractions. Models are used initially and symbols are introduced slowly. Decimals are related to common fractions. (MP)