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…

Project carried out under Contract No. PH 43 65-1011 between the Public Health Service, National Institutes of Child Health and Human Development and the Fels Research Institute.

This book shows how to increase one's power to analyze and comprehend problems. First, it outlines and illustrates the methods that good problem solvers use in attacking complex ideas. Then it gives some practice in applying these methods to a variety of questions in comprehension and reasoning. Chapters include: (1) "Test Your Mind--See How…

Students' conceptions of the concept of force are discussed. Possible problem formats and exercises are presented. The need for many formats and variations to help students' resolve their conflicting ideas about physics concepts is stressed. (CW)

Presented are the results of an investigation of stimulus integration capabilities of three- and four-year-old children in judgments of small and large numbers. There is much evidence that suggested young children have a concept of number for small numbers, but not for large ones. A concept of number was hypothesized by Piaget to rest on the…

Describes seven number-sense skills for elementary and middle school grades. Provides eight short stories for grades three through eight designed to develop students' number-sense skills in which students replace missing data so that the story makes sense. (MDH)

This book combines suggestions for the teaching of problem solving with activities and carefully discussed non-routine problems which students should find interesting as they gain valuable experience in problem solving. The over 300 activities and problems have been gleaned from a variety of sources and have been classroom tested by practicing…

A three-dimensional classification system of mathematical problems is given. A background philosophy is constructed through an analysis of different approaches to problem-solving research, leading to the statement of 5 theses and the objectives for the study. An exploratory study of mathematical problem-solving processes is conducted within this…

Introduces the constructivist theory of mathematical learning, and illustrates its application in a curriculum focusing on fundamental concepts. How knowledge is constructed, how concepts mature, and what it means to learn and to know mathematics are presented. Pedagogical implications of adopting a constructivist perspective on knowledge and…

Presents five activities to help students construct meaning for multiplying fractions through real-world problem contexts, physical or pictorial models, the recognition of patterns, and the use of calculators. In the context of a garden plot, worksheets examine various aspects of parts of plots, patterns in plots, and a maximization problem.…