The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Attempting to characterize the research literature on schooling, this paper discusses six possible inquiry perspectives termed analytic, portrait, intentional, structural, societal, and narrative. These perspectives are then analyzed and related to forms of knowledge about educating children. While preferring the narrative approach, the article…

The purpose of this study was to develop a procedure for the evaluation of M-demand of chemistry problems. It was shown that dimensional analysis upon the Neo-Piagetian theory of Pascual-Leone could help science teachers to understand the epistemological basis of their discipline. (CW)

Presents study results suggesting some malleability in learning strategies that flow from cognitive style. Examines the effects and practicability of restructuring training as a means of addressing individual learner differences. Reports that training enhanced performance on two dependent measures tasks. Concludes that field-dependent learners…

Compares 7 biology faculty members, 9 genetic counselors, and 26 undergraduate students according to both expertise and problem-solving success within the domain of genetics. Findings are consistent with the hypothesis that as expertise is attained, the individual restructures knowledge into a framework based upon the critical dimensions which…

There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and…

Proposes that there is a universal method for all realms of knowledge. Reviews Descartes's definition of the universal method, the engineering definition, and the philosophical basis for the universal method. Contends that the engineering method best represents the universal method. (ML)

Student comments about having time in class to think and solve problems are presented. Stressed are teaching methods which allow students to familiarize themselves with the problem, think about solution processes, work through the solution process, and reflect while solving a problem. (CW)

The categories and applications of strategic knowledge as these relate to problem solving in the area of transmission genetics are examined in this research study. The role of computer simulations in helping students acquire the strategic knowledge necessary to solve realistic transmission genetics problems was emphasized. The Genetics…

This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…

Examines some of the assumptions associated with attempts to define the "engineering method." Critiques a previously stated definition of this method, and offers an alternative definition that attempts to include the ideas put forth in the previous definition. Discusses the use of engineering heuristics in both definitions. (TW)

Presents two cognitive models that illustrate the commonalities between reading for meaning and solving mathematical problems with meaning. Discusses the importance of number sense in the prior knowledge component of the solving with meaning model and the implications of the models in teaching mathematics. (MDH)

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)

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)

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…