This article offers a description of how empirical experiences through the use of procedural knowledge can serve as the stage for the development of hypothetical concepts using the learning cycle, an inquiry teaching and learning method with a long history in science education. The learning cycle brings a unique epistemology by way of using…

A technique is given for solving problems involving a balance scale and a number of coins which are to be sorted in a certain number of weighings. (MP)

Presents the opinion that the learning environment of recitation classes can be vastly improved if instructors pay attention to some basic learning principles. Summarizes these learning principles and presents a specific example of their application. (GS)

Problem solving is presented as a resource for creating curriculum through reflections on intuition such as: exploring available intuitions, making explicit the intuitions used, and using intuition to generalize. (MP)

A situation is presented that is intended to lead to open-ended mathematical discussions that allow students to conjecture, discover, and prove mathematical statements. (MP)

A general method is given for determining an efficient problem-solving process for a given type problem. An application of the method is then described in an experiment involving teaching indefinite integration. (MP)

One activity concerned with describing data about students in the class and a second activity based on students' original story problems are discussed. (DT)

This pamphlet is designed to give help in developing problem solving by examples of techniques at grade levels one through six. A number of illustrations are presented of problems that are typical of the types appropriate at each grade level. For each problem, a suggestion of a solution appears with alternative methods suggested in several cases.…

Four procedures are stated which are inherent in problem solving: (1) understanding the problem; (2) planning to solve the problem; (3) solving the problem; and (4) reviewing the problem and the solution. Each of the four procedures is illustrated using problems appropriate for elementary school children. These illustrations are accompanied by…

Presented are three activities for teaching environmental studies using a decision-making approach. Students must locate an industry in the local area applying environmental criteria. Other objectives include developing map skills, photo interpretation skills, field study skills, collecting data from various resources, and defining man's role in…

Techniques that can be used in solving various mathematical problems are illustrated by an optimization problem and the accompanying model and solution. (MP)

A technique is illustrated for solving relative motion problems using a maneuvering board and vector algebra. The technique can be used to visually illustrate properties of vector algebra in a non-theoretical context. (MP)

Five calculator activities are described that are designed to explore ordered operations. Suggestions are given on mathematical objectives, strategies for solving, and possible extensions or follow-up activities. (MP)

Problems are discussed in which addition facts are presented using words instead of numbers. The letters are then replaced by numbers that will make the addition problems correct. (MP)

Brainstorming is suggested as one approach to problem solving. Generating possibilities stimulates creative and independent thinking and can facilitate problem solving in many situations. (MP)