Reviews methods of determining apparent dip and highlights the use of a device which consists of a nomogram printed on a protractor. Explains how the apparent-dip calculator-protractor can be constructed and outlines the steps for its operation. (ML)

Describes activities in a mathematics class for six-year-olds. The article makes several points, including: working independently is very absorbing; investigative work is as important as algorithms; and children working in groups can achieve more than even the brightest child working alone. (PK)

Discusses how problem-solving networks can be incorporated into courses. Reports on the development of a new style of pictorial network that can assist students in the handling of experimental data. (CW)

Criticizes the way organic chemistry teaching laboratory experiments are approached from the viewpoint of physical chemistry. Compares these experiments to cooking. Stresses that what matters is not the practice of the finger skills of organic chemistry but practice in the style of thinking of organic chemists. (CW)

The paper examines social cognitive activity in mentally retarded children as it applies to language problems, the relationship of problem solving and communication skills, and teaching methods which emphasize language pragmatics. (DB)

Suggests that, when teaching statistics, research supports linking concrete experiences to procedures, giving students the opportunity to develop language, giving students a variety of problem types, using problems that represent the data in various forms, having students collect and summarize their own data, and using calculators for…

Forty-eight students with no previous exposure to probability or statistics read one of three textbooks that varied in emphasis placed on rote and conceptual learning of basic elementary probability concepts. Findings, among others, show students who read textbooks emphasizing conceptual learning tended to be less sensitive to surface features.…

Eight techniques for studying mathematics that can be taught during regular classroom instruction are presented and discussed with illustrations of their classroom use. (MNS)

A variety of tips about problem solving are included, with the focus on helping students recall an image. Manipulative materials and models using grids are included in most of the activities. (MNS)

Students compose original stories that incorporate nonroutine problems which contribute logically to the plot of the story. Examples and suggestions from work with fifth graders and preservice elementary teachers are given. (MNS)

A lawn-mowing problem is discussed in terms of clarifying the problem; making initial conjectures; experimenting; developing a solution; and supporting formulas, theorems, and corollaries. (MNS)

The focus is on the ability to create and relinquish hypotheses in problem solving. Given are activities that illustrate how to stress the importance of producing and evaluating new ideas. A hidden rule game, microcomputer software, and an attribute game are described. (MNS)

An exercise designed to provide students with an opportunity to take responsibility for learning an assigned reading and to share ideas with their colleagues is described. The exercise also provides a safe atmosphere in which to practice communication skills, critical thinking, and decision making. (MLW)

Presents: (1) a list of ideas for teaching problem-solving; (2) a review of a problem-solving book used in medical education; and (3) a discussion of an approach called problem-based learning. (DH)

Four experiments are presented to support the theory that the rule system governing the law of large numbers is not tied to a content domain, and that it can be improved by formal teaching techniques. The experiments showed that statistical training enhanced everyday reasoning. Test problems and objective example problems are appended. (LMO)