Explains the constructivist theory of knowledge and discusses the theory's implications for teaching remedial college students. Analyzes student performance on a college placement test to highlight the differences between how novices and experts process scientific or mathematical materials. Suggests a radical change in introductory algebra…

Focuses on the language used by elementary mathematics teachers and its relationship to students' understanding of mathematical concepts, as well as their misconceptions. Describes eight situations in which the use of precise, formal mathematical terms could be replaced by informal language, particularly when introducing new concepts. (TW)

Calls for differentiating between three kinds of studies of students' conceptions in science, namely descriptive studies, explanatory studies, and studies attempting to foster conceptual change. Cites the literature about student perceptions and science instruction. (TW)

Advocates the accuracy of the common belief that the possession of energy drives, gives potential for, or accounts for change. Argues that the term "free energy" or entropy represents the possibility of change. Recommends that educators reexamine their use of these terms to prevent common misconceptions about energy. (TW)

Discusses using cognitive frameworks to help students who have mild disabilities or are at risk transfer and retain information. Explains development of study guides, story/critical thinking maps, and cognitive organizers and addresses teaching students how to use cognitive frameworks. Provides illustrations of study guides and cognitive maps. (CR)

This paper defines the concept of structured processing as an activity that encourages students to reflect, describe, analyze, and communicate that which was recently experienced. The paper explores structured processing, outlines a cognitive processing hierarchy, and suggests methods for designing and leading processing activities for…

Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)

Proposes an approach to school laboratory experiences which leads to gradual acquisition of inquiry skills based on the idea of advance organizers. Presents a design which is context familiar and can serve as an introduction to scientific inquiry. Discusses student achievement, and teacher and student attitudes. (CW)

Described are the use of two different tests designed to test for selected inquiry skills. Procedures, tests used, and results in several different countries are presented. Implications for classroom instruction are discussed. (CW)

Cites the misconceptions that students beginning the study of electric circuits often have about electricity. Explains the use of capacitors with circuits of batteries and light bulbs to introduce electrostatic forces and help to alleviate the problem of misconceptions. (RT)

States that constructivism is a theory of knowledge which asserts that knowledge is not primarily received, but actively built, and that the function of cognition is adaptive and serves the organization of the experiential world. Gives a brief history and discusses impact of the constructivist approach. (RT)

Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)

Contrasts recent views of learning and cognition with cognitive learning theories of the late 1950s and early 1960s. Maintains that Jerome Bruner's spiral curriculum approach, still valuable, is not sufficient to explain cognitive development. Proposes a lattice-like cognitive development structure, inviting differing paths of exploration. (CFR)

Presents two teaching ideas for mathematics instruction. The first employs "mind maps" as a method to help students learn, record, and recall mathematical information. Provides examples for solving quadratic equations and complex numbers. The second discusses two ways to find the average speed during a trip employing differing constant…

Challenges in applying cognitive strategy research to complex knowledge domains in students with learning disabilities include the need to focus on deficits in domain-specific knowledge; adaptation of assessment designs to answer cognitive questions; and procedures for individual cognitive strategy instruction in group settings. A research agenda…