People spontaneously discover new representations during problem solving. Discovery of a mathematical representation is of special interest, because it shows that the underlying structure of the problem has been extracted. In the current study, participants solved gear-system problems as part of a game. Although none of the participants initially…

Our research question was whether we could develop a feasible technique, using Bayesian networks, to diagnose gaps in student knowledge. Thirty-four college-age participants completed tasks designed to measure conceptual knowledge, procedural knowledge, and problem-solving skills related to circuit analysis. A Bayesian network was used to model…

This book is a collection of 50 stories of the people, events, and processes that give us our rich scientific heritage with the goal of fostering an appreciation for the process of science and for the great variety of personalities that have graced the world of science. In addition to the actual text, each story in this book contains focusing and…

Uses the action of a lever as an example to illustrate inductive and deductive procedures in teaching elementary school science. (JR)

This paper presents a narrative account of how the process of discovery pertained to a college instructor's experience in teaching writing, offering it as a potential methodology for other teachers to consider in their own and their students' writing. The first two parts of the paper illustrate the process of primary and secondary invention in…

VERBAL CUEING UNDER CONDITIONS COMPARABLE TO THE CLASSROOM WAS STUDIED TO TEST THE HYPOTHESES THAT THE SPECIFICITY OF VERBAL CUES DURING TRAINING IS INVERSELY RELATED TO BREADTH OF TRANSFER OF THE ABILITY TO DISCOVER A PROBLEM SOLUTION IN THE ABSENCE OF CUES. THREE DIFFERENT EXPERIMENTS WERE CARRIED OUT, EACH UTILIZING 50 TO 150 CHILDREN AS…

This pamphlet gives a brief introduction into the objectives, assumptions, content, activities, and materials of the Madison Project. Reported are the objectives of the program for the student and for the teacher. The mathematical content is listed under 22 topics. It is indicated that the availability of the materials may vary extensively from…

The purpose of this investigation was to determine the effects of teaching the basic science process skills to preservice teachers on their (1) knowledge of process skills, (2) attitudes toward the basic science process skills, (3) selection of process objectives for a science unit, and (4) lesson planning practices. A related purpose was to…

The "Talking Typewriter" is a computerized electric typewriter with visual and audio capabilities. It was designed to create an environment where learning to read would be a successful, enjoyable experience for the student by allowing him to explore, discover relationships, to progress at his own speed, and to receive feedback. This…

Discusses the societal roles, perceptions, and methods of both the artist and the scientist. Contends that both combine elements of experience whose interrelationship is not perceived by anyone else; thus both are required for survival, since the syntheses of their compositions provide new insights into reality. Journal availability: see SO 506…

Reviews the basic precepts of the learning theories of Piaget and Ausubel. Although Piaget is credited for his contributions to educational psychology, the author supports Ausubel's theory of meaningful learning as more significant for future contributions in science and mathematics education. (CP)

Discusses the simultaneous discovery of the four-factor formula in various countries, the influence of secrecy in preventing the sharing of discovery, and the resultant direction in the development of nuclear reactor theory. (SL)