The author organizes some of the information known about the problem of dividing space by five planes in general position along with its extensions, and consolidates it to highlight some interesting patterns in both methods of solving analogous problems and their results. (MN)

An example of a mathematical modeling problem involving student enrollment and attrition is given along with a discussion of methods and conclusions. (MN)

An example is given of a mathematical modeling problem involving the number of people that get on and off an elevator and the expected number of stops it makes. (MN)

Analyzed are textbook word problems that are typically used as applications of mathematics and shows some of the difficulties in making these problems realistic. A discussion and examples of sources of genuine mathematical applications in real life follows. (MN)

Second and third graders from six Dutch elementary schools (N = 168) solved two sets of almost identical addition and subtraction sums at a two-week interval. Inconsistency in strategies, which characterized half the subjects, was related to unfamiliar sums and resulted in misinterpreted errors. (TJH)

The mathematical content involved in self-teaching enrichment models for students in grades 8-12, the pedagogy employed in a summer institute for such students, and the results obtained are presented. (MNS)

Provides domino geometry problems, problems with arithmetic progressions, and magic pentagram sums. (JM)

Suggested is the presentation of problems for which student teams are to write computer programs which will reveal the results of guesses at the answer by users of the program. Illustrative problems and programs are included. (MNS)

A brief overview is given of the part of meteorology which deals with the circulation of the atmosphere. This is followed by eight illustrative application problems for mathematics classes. (MNS)

Outlines various misconceptions about problem-solving (PS) and several strategies to improve intellectual skills and strategies. Also describes the Covington Productive Thinking Program (designed to help develop PS skills) and several lesson problem sets from this series of 15 books. (JN)

This second part of a two-part article highlights some mathematics involved in the study of meteorology. Examples are given of the application of mathematics to the study of the atmosphere, with three problems discussed. (MNS)

This collection of problems provides a resource for teachers to use in the classroom to improve the problem-solving experiences of their students. This book provides middle school teachers with some perspectives on problem solving. A framework for organizing the problem- solving experience is presented. Each phase of the problem-solving experience…

Analysis showed that a word problem is difficult to solve if: it is of a different type from the problem that preceded it; its solution requires a large number of different operations; its surface structure is complex; it has a large number of words; or it requires a conversion of units. (Authors)

Sixth graders with Australian parents and sixth graders with Greek immigrant parents were given three tasks: memory for a set of 24 pictures, a buttonboard task, and 20 questions. "The results point to the importance of specific strategies on problem-solving tasks and to the importance, in cross-cultural comparisons, of shared understandings…

Describes the problem-solving behaviors of experts and novices engaged in solving seven chemical equilibrium problems. Lists 27 behavioral tendencies of successful and unsuccessful problem solvers. Discusses several implications for a problem solving theory, think-aloud techniques, adequacy of the chemistry domain, and chemistry instruction.…