This article presents a hands-on experiment that covers many areas of high school mathematics. Included are the notions of patterns, proof, triangular numbers and various aspects of problem solving. The problem involves the arrangements of a school of fish using split peas or buttons to represent the fish. (Contains 4 figures.)

This article, which describes integrating virtual manipulatives with the teaching of probability at the elementary level, puts a "virtual spin" on the teaching of probability to provide more opportunities for students to experience successful learning. The traditional use of concrete manipulatives is enhanced with virtual coins and spinners from…

Describes an experimental approach to determining the speed of light in water using some simple observations and Fermat's principle. Enables students to integrate mathematical techniques and encourages mathematical exploration in which the students have control over what mathematics and technology to use and when to use them. Presents extensions…

Discusses ways to simulate a probability problem of interest to middle school students in which students calculate the average number of packets of trading cards purchased to obtain a complete set of cards. Simulations utilize a spinner, a table of random numbers, and a computer. Includes the BASIC program utilized in the simulation. (MDH)

An attempt to clarify the teaching of some of the concepts of thermodynamics through the observation of an experiment with an ordinary refrigeration system is presented. The cycle of operation in the refrigeration system and the individual processes in the cycle are described. (KR)

Problem solving that both requires and develops higher-order thinking skills is illustrated in the EQUATIONS Challenge Matches program, which consists of computer diskettes at the elementary, intermediate, and advanced levels plus a multi-level diskette. Samples of computer output are given, with the results of various types of experimentation…

A technique for studying various properties of soap bubbles subjected to deformation, accompanied by some representative experiments to illustrate the versatility of the method, is presented. The measurement of the change of force that occurs when a bubble is stretched is calculated. (KR)

Gives several sample experiment problems for electricity and magnetism. To solve an experiment problem, students have to do one or more of the following: clarify a poorly defined problem, divide a problem into parts, access the appropriate concept needed to solve each problem part, decide whether approximations are appropriate, design an…

Describes an experiment to determine which of four objects, hollow cylinders, solid cylinders, hollow balls, and solid balls, will reach the bottom of an inclined plane first when released simultaneously. Provides solutions to the problem and supplementary exercises. (MDH)

The Invent America program addresses the need to provide K-8 students with opportunities to learn critical and creative thinking skills through the process of inventing. Students apply problem-solving skills as they turn their own creative ideas into inventions. It is an effort to integrate the curriculum, help students synthesize knowledge, and…

Presented are ways to teach pupils the concept of "sphere" with a methodology far removed from memorization of a formal definition of the concept. The material illustrates an approach to teaching that focuses on open exploration of ideas with children. Many experiments and starting points for exploration are suggested. This document has…

Describes the process of problem identification, data collection, and generalization in a mathematical experiment to find the speed at which a bug travels at the end of a fan blade. Presents the learning outcomes of the experiment and possible implications of using this teaching method. (MDH)

The rapid growth of science and technology has a tremendous impact upon how an individual functions in today's society. This experiment-oriented course encourages the student to investigate home economics subject matter from a scientific viewpoint. Using the scientific method to solve problems and make decisions, the student conducts laboratory…