Presents activities to demonstrate that current technology allows readily accessible representations in algebraic, numeric, and geometric forms. Argues that integrating these different representations into the curriculum helps students to think more critically about systems. Discusses problem solving using multiple representations, equivalent…

Genetic algorithms (GAs) are a problem solving strategy that uses stochastic search. Since their introduction (Holland, 1975), GAs have proven to be particularly useful for solving problems that are "intractable" using classical methods. The language of genetic algorithms (GAs) is heavily laced with biological metaphors from evolutionary…

Analyzes didactic problems related to the inseparability of electric charge from the mass, the impossibility of its direct observation, and the meaning associated with the basic concepts of electricity. Contains 44 references. (DDR)

Argues that students are conditioned by years of multiple-choice testing to use only simple recall and view knowledge as an uncataloged museum full of independent facts that are collected, recited, and left to gather dust. (DDR)

Instructional resources that employ multiple representations have become commonplace in mathematics classrooms. This study will present computer software, LaborScale which was designed to improve seventh grade students' word problem-solving skills through computer-based multiple representations including graphic, symbolic, and audio…

Demonstrates how teachers can move their students from the novice into the expert range of problem-solving strategies. Utilizes a problem-solving model that follows how such skills develop. (DDR)

Proposes activities that promote students' awareness of the structure of the information involved in their everyday activities, and builds the concept of function from students' mental representations of phenomena. Recommends the use of spreadsheets to provide external representations of these functions. (DDR)

Examines quantitative models in school physics, looking particularly at the degree to which they match the real world. Explores the positive aspects of a mismatch between models and real world conditions. (DDR)

Describes a game used in precalculus that builds interest and confidence in the uses of inverse functions. The game is preceded by a worksheet that enables students to discover that f(x) and f-1(x) are mirror images of the line y=x. (DDR)

Lends support to the idea that the quality of the cases used in problem-based learning affects the nature of student learning in this context. Outlines seven principles adapted from research on learning and cognition that can help guide case design. Contains 22 references. (DDR)

Points out that college freshmen expect major changes in the academic environment as they move from secondary school. Recommends that faculty use this opportunity to show students how to think for themselves. (DDR)