Results of a 10-item mathematical word problem test taken by 80 preservice elementary teachers showed that those receiving accurate pictures accompanying each problem scored significantly higher than both those receiving no pictures and those having inaccurate diagrams; the "no picture" group scored significantly higher than the "inaccurate…

Three forms of a problem-solving test were given randomly to 322 tenth graders. Performance on the form containing accurate pictorial representations of items was significantly higher than on the form with only prose descriptions, which was in turn significantly higher than on the form with distorted pictorial representations. (DT)

Two units are developed that provide the student with experience in constructing auxilary lines that are often needed in formulating geometric proofs. (MP)

Discusses a strategy for presenting science concepts via activities which include personal, self-sensitizing frames of reference for students. Examples include force and temperature measurement. (JM)

Four problems are given and discussed involving reflection about a line or the reflection properties of conic sections. Solutions are given. (MP)

The author provides a brief view of issues and developments in the field of problem solving in the light of progress made as well as implications for the future. (MN)

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)

The purpose of this study was to examine tendencies for students to be more successful in solving verbal problems based on situations for which they possess measured interest. (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)

The derivation of a method to drive the general term of a sequence is presented. The difference sequences and binomial coefficents are used in the derivation. An application of this method is made to solve Polya's problems concerned with dividing space in regions by a given number of planes. (JP)

Examples of mathematical problems which arise outside the classroom situation are presented. The author suggests that the conceiving and solving of such problems by students would be a good way to provide the students with applications of the mathematics they learn. (JP)