Domino games are used to illustrate problem-solving techniques in a college principles-of-mathematics course. Students develop tables and use Pascal's triangle to find the total number of pips and the sum of numbers on the pieces. (DC)

Describes activities that demonstrate the relationship of mathematics and science and their use in solving real-world problems like solid waste disposal. (JRH)

Presents a hands-on mathematics task that can be investigated experimentally to produce a sequence of numbers. Describes ways to extrapolate values of the table of numbers by formulating and verifying a conjecture related to the pattern in the numbers. (MDH)

This review features new examples of using the computer relative to college-level mathematics to enhance pedagogy, solve problems, and model real-life situations. Included is a LOGO program that can be used to create and to stimulate subsequent investigations of spirolaterals, those figures generated by repeatedly drawing basic loops. (JJK)

Presents a student project that requires students to create a puzzle involving some form of manipulative and present it to the class with an advertisement. Uses writing to have students report on their progress. (MDH)

Presents a series of solution methods to the Eight Queens Problem of placing eight queens on a chess board so that no one queen can capture another. Solution methods progress from empirical approaches to the use of computer algorithms. Geometric transformations are used to find other solutions. (MDH)

Presents four stoichiometric problems and their solutions that use spot metal prices quoted from the newspaper to integrate economics and chemistry. (MDH)

Presents the following guidelines to consider before, during, and after hands-on inquiry: (1) plan and prepare; (2) create problem intrigue; (3) give students the responsibility of solving the problem; (4) offer feedback and guidance; (5) debrief; and (6) anticipate, prevent, monitor, and adapt. (PR)

Describes a Russian approach of using literature to make physics instruction more interesting and attractive to students. (PR)

Discusses the importance of science education in early childhood education and describes different approaches in incorporating physics into the preschool curriculum. Provides examples of experiments and encourages parent participation in children's science activities. Concludes by looking at science as an equity issue and emphasizes that science…

Lecture is a common presentation style that gives instructors a lot of control over topics and time allocation, but can limit active student participation and learning. This article presents some ideas to increase the level of student involvement in lecture. The examples and suggestions are based on the author's experience as a senior lecturer for…

In this article we analyze the dialogic learning of one pair of students in order to investigate how these students cope with a collaborative learning situation in the classroom. Our aim is to substantiate the claims that not only are young students (8 year olds) capable of solving mathematical problems collaboratively, but that they also take an…

This article describes the experiences gained from a seminar in the teaching of mathematical reasoning and problem solving designed to prepare in-service high school mathematics teachers to teach genuine mathematical activity in a computer-based environment. Presented with a set of unfamiliar tasks and activities, the participants were encouraged…

This article addresses how metacognitive skills contribute to the teaching and learning of problem solving in mathematics. It describes the development and use of a metacognitive journal activity in the classroom. (Contains 2 figures.)

In the 1970s, the movement to the metric system (which has still not completely occurred in the United States) and the advent of hand-held calculators led some to speculate that decimal representation of numbers would render fractions obsolete. This provocative proposition stimulated Zalman Usiskin to write "The Future of Fractions" in 1979. He…