The problem of obtaining the apparent equation of motion and shape of a moving body from its arbitrary given equation of motion in special relativity is considered. Also the inverse problem of obtaining the body's equation of motion from a known equation of motion of its image is discussed. Some examples of this problem solution are considered. As…

Since Polya, Wertheimer, and Hadamard's descriptions of qualitative reasoning strategies used by scientists and mathematicians, very little data have been collected on whether these strategies are actually used by experts. This study used video-taped thinking-aloud interviews to examine the problem solving strategies of professors and advanced…

This document consists of three papers. The first, "A Parallel Model of (Sequential) Problem Solving," describes a parallel model designed to solve a class of relatively simple problems from elementary physics and discusses implications for models of problem-solving in general. It is shown that one of the most salient features of problem…

Investigated skills needed for critical reading of physics texts, their separability and hierarchical ranking, and relation to problem solving ability. Reports that skills required to comprehend texts in continuous format and discriminate unreported statements are respectively of higher level than and separable from those required to comprehend a…

The strength of intuitive knowledge is illustrated by the difficulty that individuals have in trying to restructure student misconceptions. In order to harness this power, intuition must be developed within the context of each new concept to be taught. An experiment with one possible approach to this instructional problem is described and…

Models occupy the content core of physics, and modeling is a major process for constructing and employing physics knowledge. A model is characterized by its domain, composition, structure, behavior, and organization. Problem solving is a schematic modeling process consisting of model selection, construction, validation, analysis, and deployment. A…

Good problem solvers and poor problem solvers in advanced physics (N=8) were significantly different in their ability in translating, planning, and physical reasoning, as well as in problem solving time; no differences in reliance on algebraic solutions and checking problems were noted. Implications for physics teaching are discussed. (DH)

The research described in this paper leads to an instructional design approach which is an alternative to the consideration of such issues as mathematical skills or level of cognitive development. The approach uses an analysis of traditional instructional tasks to specify the underlying cognitive processes and structures necessary for the…

Determined if providing feedback to students had any impact on the correlation between performance in physics and a test of simple, mechanistic mathematics skills. Also determined if students who drop out of the physics course demonstrated any identifiable difference in performance on tests involving a variety of reasoning and problem-solving…

Physics learning studies demonstrate that students' pre-instructional world knowledge is often logically antagonistic to the principles of Newtonian mechanics taught in introductory physics courses. Under these conditions psychological theory predicts that learning will be inhibited, a prediction consistent with both the experiences of physics…

Discussed is one "quite general" attribute that can differentiate problem representations: the kinds of entities that are included -- the cognitive objects that the system can reason about in a relatively direct way, and that are included continuously in the representation. The ontology of a domain is significant for four reasons. First,…

One approach to the study of cognitive processes highlights the distinctions between expert and novice problem solvers. This approach attempts to discover how experts and novices differ in the way they organize, retain and use domain related knowledge. It appears to some that what is learned from expert-novice research can help teachers to teach…

This investigation examined the relationship between problem solving ability and the criteria used to decide whether two classical mechanics problems could be solved similarly. The investigators began by comparing experts and novices on a similarity judgment task and found that experts predominantly relied on the problems' deep structure in…

There is a need to integrate the segregated perspective underlying research on scientific conceptions. Insights from scientists can provide information about the essential components of ideal knowledge. The purpose of this study was to investigate how researchers and teachers deal with scientific explanation. Three research physicists and five…

Most physics problem-solving studies provide data that indicate problem representation is different between experts and novices. This paper presents "cognitive aids" guiding the process of elaboration of a problem representation through intermediate representations. Intermediate means that the representation is situated somewhere between…