The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

This study was designed to compare the relative effectiveness of word problem instruction based on Polya's approach to problem solving with Dahmus' word by word translation approach. When ninth-grade students were randomly assigned to one of these approaches, no differences in mean number of problems solved were observed. (SD)

RESEARCH OBJECTIVES WERE (A) TO DEVELOP A BATTERY OF INSIGHT-PROBLEMS FOR USE IN PROBLEM-SOLVING RESEARCH, (B) TO REPLICATE A TRAINING EXPERIMENT IN ORDER TO DETERMINE WHAT A SUBJECT MIGHT HAVE LEARNED IN A SPECIFIC SITUATION WHICH COULD INFLUENCE NONSPECIFIC SITUATIONS, AND (C) TO ATTEMPT TO TEACH SUBJECTS STRATEGY WHICH WILL ALLOW THEM TO…

The concept of an algorithm derives from the physical sciences, but it has often been misunderstood and misapplied in the social sciences and in education. The theoretical and practical significance of algorithms stems from their applicability to problems of learning, instruction, and instructional design, and they may potentially provide the…

Discusses different roles the problem statement can play in inquiry and some resulting classroom implications. (SL)

The use of trial-and-error strategies to solve problems is endorsed. Types of problems with which trial and error is effective are discussed, with examples of how it is used, and teaching considerations are briefly considered. A computer program for one problem is included. (MNS)

The study proves that a didactical model based in a method to solve word problems of increasing complexity which uses a numerical approach was essential to develop the analytical ability and the competent use of the algebraic language with students from three different performance levels in elementary algebra. It is shown that before using the…

This article discusses four current explanations for man's failure to resolve conflicts. Information about and techniques for improving human judgment and opportunities for students to learn to use these are needed to improve efforts to solve social problems. (KM)

Reports on an experiment in which Algebra I students (N=181) learned to translate word problems with two unknowns from the prose representation to symbolic representation using two variables when first solving word problems with two unknowns. Concludes that students who had learned to solve equations with the new method scored higher than those…

This study examined effects of a schema-based direct instruction strategy on the word problem-solving performance of three third- and fourth-grade students with learning disabilities. The intervention was successful in increasing the percentage of correct solutions to word problems for all three students. Maintenance was seen two to three weeks…

Describes a problem-based human biology course for undergraduate nonscience majors. Discusses the nature of problem-based learning, effectiveness of problem-based learning in a nonmajors' science course, course development, and implications. Contains 14 references. (JRH)

The majority of students with emotional problems sit undetected in general education classrooms. This article highlights the warning signs of developing emotional problems, as well as strategies to help students overcome their emotional barriers to learning. (GCP)

Presents activities designed to introduce a mathematical idea having several applications for determining the optimal location for a radio station's transmitter and the best locations for a fire station. Includes student worksheets and solutions. (KHR)

Presents some ideas about how teachers can foster mathematical communication by encouraging students to find multiple solutions to problems. Discusses three problems that help develop communication ability in mathematics. Views communication of multiple solutions as an instructional strategy to help students make sense of mathematics. (KHR)

This article describes the use of problem-based learning (PBL) with gifted students, in which the focus of the curriculum is "ill-structured" problems. Particular advantages of PBL with these students include effectiveness in teaching the art of problem finding and solving, active learning, higher order thinking skills, and using interdisciplinary…