Good computer simulations are those which make good use of the capability of the computer and which promote student decisions based on logic, observation, and their knowledge of the real world. (MP)

An example is discussed in which a drill exercise, initially involving whole number addition, can be used to develop concepts in equations of many variables. (MP)

Mathematics instruction can be approached as a cognitive skill, as illustrated by these elementary-level classroom activities. (LH)

The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

Presents examples of how students can create drawings of sets of lines whose envelopes are parabolas, cardioids, epicycloids, or hypocycloids. Provides students with experience in problem solving, reasoning, communication, and connections between numbers and geometry, between mathematics and art, and between mathematics and other applications.…

Presents activities related to some obscure tests for divisibility, which teachers may wish to develop as illustrative examples in the classroom, or as extension activities for groups of students. Begins with an exploration of divisibility by three, then discusses application of the technique to other numbers, and for numbers written in other…

Presents activities that explore step-cut dissections of whole rectangles. Provides students with the opportunity to discover patterns, which allows them to solve more and more complex problems that offer a context within which students can think about and use different mathematical concepts. (JRH)

Identifies the more representative problem-solving models in environmental education. Suggests the addition of a strategy for defining a problem situation using Soft Systems Methodology to environmental education activities explicitly designed for the development of critical thinking. Contains 45 references. (JRH)

The technique of using "seed problems" involves starting with a simple problem and seeing how far it leads. It may inspire different, related problems, or it may be approached with varied tools. Problems related to points and lines, pyramids, Pythagorean quadruples, and regular pentagons are discussed. (MNS)

Describes two problem-solving videodisc adventure stories related to geometry and reports reactions of (n=25) teachers and their students who used the adventures. Results found teachers and students had increased knowledge of ways to apply geometry. (12 references) (MKR)

Discusses and illustrates the difference between traditional and creative problem solving. (MKR)

Using play learning and real-world problem solving, an alternative Arizona program is cultivating confidence and love of learning in bilingual first-graders. Children learn by using their own language (Spanish), learning styles, and thought processes. Besides problem-solving, the "cube train" teaches estimation, number relationships,…

Uses the context of rock climbing to discuss the science concept of friction. Presents the mathematics equations that describe the concept. Examines the physics of different rock climbing situations encountered and equipment used. A series of related problems with answers is provided. (MDH)

Considered is the open-ended question of the various means of marking an n-inch ruler so that the distance of any integral number of inches from 1 to n can be ascertained with a single measurement. The relationship between a sparsely marked ruler, which is one gracefully marked with the fewest number of marks, and specific discrete graphs is…

Presented are five scenarios of how division might be introduced to a class of third graders using experiences with the concept, process, and symbolism of division rather than algorithms. Instruction that makes problem solving the emphasis of students' learning is described. (KR)