French tenth grade physics classes were observed as they studied electric circuits over a one-year period. An analysis is presented of tests taken during the year. The main point separating "average" students from "good" ones is their performances in "implicitly difficult exercises," that is, in what appears…

Compares seven positions on media influences on learning that were presented in a previous journal issue; discusses the conflict between advocates of a given approach versus integrated approaches to the solving of complex problems; and presents a model that links cognitive processes to computer-based prescriptions for improvements in learning. (35…

Presented is a proof where special attention is accorded to rigor and detail in proving the lemma that relates ruler-and-compass constructions to arithmetical operations. The idea that some angles cannot be trisected by a ruler and compass is proved using three different cases. (KR)

Presented is the theorem proposed by Volterra based on the idea that there is no function continuous at each rational point and discontinuous at each irrational point. Discussed are the two conclusions that were drawn by Volterra based on his solution to this problem. (KR)

Describes the design and implementation of a major collaborative assignment in which students investigate and produce written and oral solutions to a problem with a national perspective experienced by a community corporation, business, governmental, or not-for-profit organization. (KEH)

Various examples of open-ended problems and ways to obtain them are presented. Suggestions for incorporating open-ended problems and some of the benefits and difficulties encountered by teachers and students are discussed. Examples are from courses on mass and energy balances, communications, kinetics and ideal reactors, and reactor design. (KR)

Presents a model that relates Polya's ideas on problem solving to teaching practices that help create a mathematics learning environment in which students are actively involved in doing mathematics. Illustrates the model utilizing a high school geometry problem that asks students to measure the width of a river. (MDH)

Student problem-solving behaviors are analyzed using a four-dimensional framework with related detrimental factors identified for each dimension. General approaches and specific techniques developed to address negative factors are reviewed. Examined are means of developing the components of problem-solving teaching. (KR)

A technique for studying various properties of soap bubbles subjected to deformation, accompanied by some representative experiments to illustrate the versatility of the method, is presented. The measurement of the change of force that occurs when a bubble is stretched is calculated. (KR)

The soliciting-and-reacting-moves questioning technique used in science classrooms is described. The importance of using both higher-order and lower-level questions during a lesson is discussed. An example of a dialogue between a student and teacher using this technique is included. (KR)

Study compared the effects of classroom management instruction emphasizing technical skills versus instruction emphasizing reflective and constructive processes on 67 preservice teachers' reasoning and problem solving. Participants receiving reflective instruction used strategies more often to solve problems, provided more reasons for decisions,…

Discussed is an alternative to the traditional lecture-homework-quiz method of instruction. Innovative techniques applied in a statics class are described. A comparison between the innovative course and the same course taught traditionally is provided. (KR)

Reviews current research in the application of the Neo-Piagetian theory of Pascual-Leone and shows how it provides the science teacher new implements. Hypothesizes that the role of the environment and creativity, if emphasized adequately, can help make science instruction more effective. (Contains 45 references.) (PR)

A primary math activity teaches students counting and classifying using a book about a mother and child who tour a farm at midnight. An intermediate math activity teaches logical reasoning through a story problem in which students must use information from a story to figure out an answer. (SM)

Describes a class activity using graph theory in the form of finding the least number of firehouses needed to serve a town as mapped by a series of points and lines connecting the points. Notes that the third graders eagerly attacked the problem, and themselves suggested that the problem could be used in grades 2-8. (RS)