The ability to switch between various representations is an invaluable problem-solving skill in physics. In addition, research has shown that using multiple representations can greatly enhance a person's understanding of mathematical and physical concepts. This paper describes a study of student difficulties regarding interpreting, constructing,…

Semiotic representations have been an important topic of study in mathematics education. Previous research implicitly placed more importance on the development of institutional representations of mathematical concepts in students rather than other types of representations. In the context of an extensive research project, in progress since 2005,…

The impact of touch-screen technology on spatial cognitive skills as related to molecular geometries was assessed through 102 one-on-one interviews with undergraduate students. Participants were provided with either printed 2D ball-and-stick images of molecules or manipulable projections of 3D molecular structures on an iPad. Following a brief…

In this paper we focus on some of the findings of the science education research community in the area of representations and problem solving. Problem solving depends on the construction and manipulation of mental models (internal representations) in the mind. A large knowledge base (declarative, procedural, strategic, situational, and schematic…

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…

Provides further details regarding a philosophical reconstruction of the structure of Classical Genetics Theory that can facilitate problem-solving instruction. Describes how that reconstruction can facilitate realistic problem solving on the part of students. Contains 60 references. (DDR)

An appreciation of the relationship between novice and expert knowledge frameworks may help develop an understanding of the process of transition from one to the other. Recommends the use of concept mapping. (DDR)

Discusses current views on problem solving in the workplace, and identifies five areas for consideration: (1) knowledge representation; (2) verbally teaching strategy components of the skill--versus the learner acquiring it inductively through practice; (3) the principles of teaching procedures; (4) how to construct simulations; and (5) weighing…

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…

This handbook is intended to be a self-study guide to the effective use of nine specific instructional strategies proven to improve student achievement. The strategies are: (1) identifying similarities and differences (comparing, classifying, creating metaphors, and creating analogies); (2) summarizing and note taking; (3) reinforcing effort and…

This paper presents a new model for simulating procedural knowledge in the problem solving process with our ontological system, InfoMap. The method divides procedural knowledge into two parts: process control and action performer. By adopting InfoMap, we hope to help teachers construct curricula (declarative knowledge) and teaching strategies by…