Comments on student responses to the three dimensional items produced by first investigating flat paper cutouts of the items. (KHR)

Presents activities to incorporate Polya's four-step problem-solving process. (KHR)

Features a word problem concerning mathematical patterns for students. (KHR)

This article describes a problem-centered curriculum for grades 9-12, using problem sets developed by a mathematics department and designed to take the place of textbooks. The students discover mathematical concepts in the context of the problems and activities in the materials.

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 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…

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)

An exploratory problem is presented which involves the identification of all the ways a unit fraction with prime denominator can be written as a sum of two unit fractions. (MN)

Several problems that can be used with calculators are provided. Teaching tips and references are included. (MNS)