Two opinions are expressed: (1) that the notion that lawyers and judges are obliged to answer all hypothetical questions asked about laws and litigation is unrealistic and inappropriate, and (2) that hypotheticals can be intelligent questions illuminating some of the difficulties of legal theory. (MSE)

Second- and sixth-grade boys were paired with a friend or an acquaintance (N=120), and each dyad completed a problem-solving task under cooperative, competitive, or no reward contingencies. Communicative exchange, affective expression, synchrony of task-oriented behavior, and task performance were examined for evidence of purported mutuality in…

In a series of experiments, young children were asked to compare the quantities of classes of objects under two conditions: (1) when one of the classes of objects is a subordinate of the other (the traditional class-inclusion problem), and (2) when the terms refer to exclusive sets but different levels of generality. (Author/RH)

A discussion of a contest between the German mathematician Adam Riese and a draftsman involving the construction of as many perpendicular lines as possible in one minute leads to a review of some interesting constructions involving circles. It is suggested teachers challenge their students with the historic contest question. (MP)

The use of a ruler with two parallel Straight edges as a tool in geometric constructions is presented, based on ideas that are fairly standard in high school geometry courses. The constructions are seen as potential challenges that provide opportunities for inventiveness by students. (MP)

Certain properties of lenses provide a physical model of the mathematical concepts of multiplication of integral numbers and of similarity transformations in geometry. Further, they can provide a realistic concrete representation for rules governing multiplication of signed numbers. Suggestions for problems and classroom demonstrations involving…

A project designed to stimulate analytical reasoning skills in elementary school students is described, with a sample of the developed exercises. The materials were found to generate and maintain an enthusiastic response from the group of gifted eight-year-olds with which they were used. (MP)

In the 1960s Siena Heights College decided: to become coeducational; to develop programs in business; and to develop a board of trustees who would have fiduciary authority and be the policy-making corpus and legal entity for the institution. The creation of a new board of turstees is described. (MLW)

Describes a course module designed to instruct beginning engineering students at the University of New Mexico in problem-solving methodology as suggested by Polya (understand, plan, carry out, look back). (SK)

Three methods for using four-function, counting calculators for developing understanding of the meaning of square roots and operations on whole and rational numbers are described. (MP)

How the use of calculators can illuminate mathematics and improve the level of problem-solving discussion in classes is presented. (MP)

The creation of "false laws" of mathematics by many pupils as they attempt to rephrase new ideas and make them understandable and useful is discussed. The reasons for these mistakes and some ways teachers can help students adopt correct rules are reviewed. (MP)

Geometric construction problems are recommended as sources of stimulating exercises for mathematics classes. (MP)

Describes a successful approach to college-level modern history teaching using three case studies to examine the technical, social, and political conditions shaping government policy. A discussion of problems inherent in this teaching method is included. (AM)

Evaluated the effectiveness of a structured educational program to train premarital couples in communication and mutual problem-solving skills. Couples (N=26) participated in a problem-solving training program, while similar couples (N=28) participated in a relationship discussion group. The problem-solving group showed a greater increase in…