When permitted, children frequently devise approaches to solving problems that are distinct from those typically used by adults. Presents examples of children's thinking from Project IMPACT which illustrate the crucial interplay between a teacher's instructional decisions and children's thinking while confronting mathematical misconceptions.…

A discussion of what E=mc2 means and other issues associated with the equation are presented. The differences between matter, mass, and energy, a derivation of the equation, the history of the word mass and examples of how it is used, misconceptions surrounding the equation, and a discussion of uranium fission are included. (KR)

Considers what college students think reasoning about physics involves. Discusses whether it is possible to identify students' general conceptions of physics and the effects of a course on students' concepts. Data indicated that students' understandings had an effect on problem solving, qualitative problems, and misconceptions. (YP)

Describes the activities of the Physics Teachers Action Research Group in which college physics teachers work together in planning, revising, and evaluating student projects that foster greater conceptual understanding and address student misconceptions. Presents the details of a project in which students were asked to build an accelerometer. (JRH)

Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)

Presents a problem in which the incorrect application of the Law of Sines leads to an erroneous solution. Demonstrates that the commission of this error by an ophthalmologist using laser trabeculoplasty could lead to patient injury. (MDH)

Explains the differences between successful and unsuccessful problem solvers' exploration of a problem, translation of information into different forms, approach to devising and executing a plan, and rechecking work. (RT)

Discusses the scheme and findings of a study designed to identify the conceptual knowledge used by high school students to solve a significant problem related to osmosis. Useful tips are provided to teachers to aid students in developing constructs that maximize understanding. (ZWH)

Problem solving is an essential skill in the study of genetics. Genetics problems have traditionally come from laboratory activities and textbook situations. Recently computer-based problems have been available to complement these standard sources. This report focusses on the use of computer-based problems in the study of genetics. Discriptions…

Describes a computer program presenting four genetics problems to monitor the problem solving process of college students. Identifies three main areas of difficulty: computational skills; determination of gametes; and application of previous learning to new situations. (Author/YP)

Describes the nature of cognitive research. Misconceptions research in mechanics and electricity are reviewed. Research results on expert/novice differences in knowledge organization and problem solving are reviewed. Implications for classroom teaching are discussed. Lists 34 references. (YP)

Reports on specific problem-solving difficulties of 240 chemistry teachers from 5 Nigerian states who volunteered to take part in 3 written tests and an interview. Describes the contrasts between successful and unsuccessful problem solvers, and discusses the pedagogical and psychological implications of the findings. (16 references) (JJK)

Discusses the use of drawings to nurture problem-solving attitudes and independent learning. Drawings help develop thinking skills, clarify misconceptions, develop representational preferences, supply a context for relationships in K-8 mathematics, and illustrate mathematical connections. (MDH)

Most teachers agree that the mathematics skills needed for today's world encompass more than basic computation. It is important that schools provide students with the skills to organize and analyze the wealth of information that confronts them on a daily basis. Therefore, the quantitative reasoning skills required for intelligent problem solving…

Durer's method for drawing an ellipse is used to explain why some people think an ellipse is egg shaped and to show how this method can be used to derive the Cartesian form of the ellipse. Historical background and suggestions for further reading are included. (KR)