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,…

In the present article, we articulate three assumptions underlying theories proposing that restructuring processes play a key role in insightful problem solving: representational difficulty, representational change, and discontinuity in solution processes. We argue that these assumptions need empirical validation to justify the proposition of…

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…

Critically analyzes an article by Jan Klabbers, focusing on methodological, epistemological, and ontological viewpoints. Examines the reasoning process whereby the actor approach model of learning environments is derived from the machine approach model; looks at claims of differentiation between rationalism and historicism, and the distinction…

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)

Explores high school students' collaborative efforts in solving qualitative physics problems and investigates how and whether confronting students with varying views improves problem solving skills. (Contains 22 references.) (DDR)

A mental model is a knowledge structure composed of concepts and the relations between them. Mental models are distinct from declarative and procedural knowledge--they go beyond semantic relationships and skills acquisition and contain varied intellectual skills and knowledge. This study describes an initial investigation into the construct…

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)

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)

Examines the impact of one unit of a curriculum module for sixth grade from the Model-based Analysis and Reasoning in Science (MARS) project. Provides an overview of this unit on mass and discusses three aspects of the evaluation of the unit. Contains 22 references. (DDR)

This research focuses on the graphics calculator in calculus and its impact on students' abilities to work with graphical, numerical, and symbolic representations. Three courses are compared, two of which are taught with less emphasis on the use of graphing calculators. The format of the course emphasizing calculator use is more traditional than…

This paper examines the novel problem solving actions of a pair of college students. The analysis highlights the role of the solvers' inferential processes including abductions, deductions, and inductions as structuring resources that contribute to both their understanding of the problems they face and the emerging novelty that constitutes their…

Students (n=45) in an introductory course in hydrology used a Vee map to guide their laboratory investigation. The Vee mapping technique was utilized by groups of students working together during the investigation and was graded with a scoring rubric developed by the instructor. At the end of the investigation, students completed a survey…

This paper proposes a methodology to calculate both the difficulty of the basic problems and the difficulty of solving a problem. The method to calculate the difficulty of problem is according to the process of constructing a problem, including Concept Selection, Unknown Designation, and Proposition Construction. Some necessary measures observed…

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)