Background: Engineering students commonly learn domain knowledge by engaging with visual representations of it. However, at times they have trouble accessing information from these representations due to the way information is encoded in features of the representation. Purpose: To describe how students engage with representation features, we…

This study focuses on the role of multiple solution tasks (MST) incorporating multiple learning tools and representation systems (MTRS) in encouraging each student to develop multiple perspectives on the learning concepts under study and creativity of thought. Specifically, two types of MST were used, namely tasks that allowed and demanded…

Purpose: This paper aims to describe the web-based scaffold dynamic simulation system (PRES-on) designed for pre-service teachers. Design/methodology/approach: The paper describes the initial design of a web-based scaffold dynamic simulation system (PRES-on) as a cognitive tool for learners to represent problems. For the widespread use of the…

Supports the use of microanalysis of conceptual change as a tool for reconceptualizing the nature of students' knowledge-in-development and dissolving concept-misconception and expert-novice dichotomies. Contains 48 references. (DDR)

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)

Describes a study that investigates the relationship between secondary students' written responses and the mathematical and cognitive processing used when solving a complex problem. Contains 40 references. (DDR)

This research study focused on the knowledge structure of the domain of physics by describing the knowledge of experts, intermediates, and novices. In order to investigate these representations, a reiterative categorization task was employed using novice, intermediate, and expert subjects (N=27). The categories were classified as theory-, model-,…

Discusses the implications of a research study of more than 2000 students aged 11 to 15 that explored why the students interpret algebra in certain ways. Recommends strategies that can help teachers deal with prior knowledge that students may bring to their study of algebra. (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 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)

Hypermedia as a learning environment complements traditional instruction as it places the student at a higher level of control. Instead of "wait and see" what the teacher expects the student to learn next, hypermedia stimulates the student to become aware of his/her own cognitive needs and interests. This paper presents a combination of notions…

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…

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)

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…