Research in cognitive science is providing an increasingly detailed understanding of human cognition. Teachers can help students become conscious of their own reasoning processes and then learn to compare, contrast, interrelate, or coordinate various ways in which they think in order to refine their problem-solving methods. (Author/MLF)

This book shows students how to increase their power to analyze problems and comprehend what they read. First it outlines and illustrates methods that good problem solvers use in attacking complex ideas, then it provides practice in applying these methods to a variety of comprehension and reasoning questions. The "Whimbey Method" of teaching…

Discusses laboratory investigations designed to allow students to solve problems without using predetermined mathematical formulas. As a result, laboratory problems force students to think. In addition, some students formulate their own mathematical relationships and enhance their understanding of the connection between mathematics and…

American college students are highly diverse with respect to formal intellectual development. This diversity can present educators with a difficult challenge, especially in fields that depend heavily on mathematics. The Cognitive Development Project at the University of Massachusetts is an attempt to foster the development of formal operational…

This book is directed toward increasing students' ability to analyze problems and comprehend what they read and hear. It outlines and illustrates the methods that good problem solvers use in attacking complex ideas, and provides practice in applying these methods to a variety of questions involving comprehension and reasoning. Chapter I includes a…

Comparisons of expert and novice problem solving in physics have helped characterize some of the key features of expert behavior. There is considerable debate, however, as to whether these characteristics are specific to the field of expertise (physics) or exportable to other fields. While the question seems difficult to answer in general, at…

Numerous research studies over the past five years indicate that a high percentage of college students have severe deficiencies in their ability to use mathematics as a language for representing simple quantitative relationships. In the United States these problems are nearly as common among students with strong computational skills in algebra and…

A thinking aloud pair problem solving (TAPPS) procedure--two students work cooperatively on a collection of short problems--is outlined, and reading comprehension exercises and sample student thought process protocols are presented. (Author/MLW)

Preliminary results from a study of students' conceptions in introductory rotational physics are discussed. Analyses of data from problem solving interviews and written diagnostic tests provided evidence that many students had a poor qualitative understanding of torque. Even among students who answered questions correctly a percentage did so for…

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…