The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)

The goals and history of the Mathematical Olympiads for Elementary Schools are described. Teams, levels, and gender are discussed, as well as teacher training, administration, scoring, and awards. Sample problems are included. (MNS)

Describes an alternative method to algebraic procedures for solving problems involving the proportional composition of a mixture. (TS)

Results are reported from a study of the problem-solving abilities of Swedish children aged 12-13. Illustrative problems and conclusions are given to describe a method for defining and testing problem solving. (MNS)

Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)

Presents a problem involving fractions for discussing and sharing of student responses to the problem at a later date. (KHR)

The current study investigated the discreet task completion hypothesis presented by C. H. Skinner (2002) by investigating how the rate of interspersing affects performance on and preferences for academic assignments. Specifically, 70 sixth-, seventh-, and eighth-grade students were presented with four assignment pairs of multiplication problems.…

This paper, part of a series of working papers published to provide documentation of research and development efforts associated with the Indigenous Mathematics Project of Papua New Guinea, discusses the role of problem solving in the mathematics curriculum and types and characteristics of good problems, with illustrations. Reasoning by analysis…

This monograph was developed with the intention of addressing the concerns of high school mathematics teachers in Alberta (Canada) who want to base their programs on problem solving but have questions about effective and efficient ways to do so. Considered are the most basic philosophical questions, and a framework is provided to use in solving…

This monograph provides teachers with a wide range of articles on the teaching of problem solving in the mathematics classroom. The first section, on Understanding the Problem, includes articles which provide a sense of the "problem" of teaching problem solving. The second section, on Devising a Plan, provides suggested plans for…

In order to propogate information on the World Year of Physics (WYP) and to promote students' appreciation of the significance of this event, the author devised a riddle about Einstein and implemented it at two high schools in Taiwan, with 95 students which were mainly based on Einstein's publications in 1905. During the game 81% of the students…

THIS STUDY WAS AN EXPERIMENTAL COMPARISON OF TWO METHODS OF PROGRAMING TEACHING MACHINES. THE BASIC RESEARCH HYPOTHESIS WAS THAT SUBJECTS WHO USED TEACHING MACHINE PROGRAMS WITH EXPOSITORY PRESENTATIONS INTRODUCED BY PROBLEM-SETTING QUESTIONS WOULD LEARN AND RETAIN MORE INFORMATION AND WOULD LEARN MORE RAPIDLY THAN SUBJECTS WHO USED TEACHING…

A set of 58 problems that may be solved by using lists is presented. This set is part of the Mathematical Problem Solving Project. The problems are coded for three levels of difficulty and are designed for students in the intermediate grades. Answers are provided. (MP)

This teacher's guide contains instructions for the use of a booklet designed to teach problem solving through guessing. For each lesson the purpose, an overview, and detailed teaching procedures are presented. The five lessons are: (1) using guesses and computation to solve problems; (2) using guesses to solve two-step problems; (3) using guesses…