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…

Describes a study in which teaching and learning activities are designed using a cognitive conflict strategy. Focuses on the effectiveness of these activities in classroom research in pre-university courses in Botswana and South Africa. Contains 39 references. (DDR)

This paper addresses the question of how teachers can support and facilitate conceptual change in student thinking. It begins with a discussion of the multiple meanings of the term conceptual change. An argument is presented for the notion that recent developments in research in science learning have dramatic implications for what students are…

Reports on a technique used to enhance students' motivation to learn, their actual learning and application of information, and their ability to recall information for later use. The technique involves sharing learning and recall strategies with students. (DDR)

Argues that there are many kinds of understanding and many ways to reach these different understandings. Suggests that this is the reason why articulating general rules that can consistently lead to understanding is difficult. Discusses the relationship between brain structure and learning. (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…

This book explores what makes mathematics possible as well as what makes mathematics difficult. Included is a discussion of the definition of mathematics, mathematics in language, the meaning of numbers, calculating and measuring, notation, numbers in space, and the best ways to learn mathematics. Historical information and practical examples are…

Describes a study that examined changes in the structural complexity of knowledge held by two groups of introductory college-level biology students (N=68, N=93). The subjects constructed concept maps at four-week intervals throughout the instructional term. Contains 49 references. (DDR)

Describes a theoretical framework for the analysis of conceptual change that considers conceptual knowledge as a generative cognitive tool for the creation of more specific mental representations. Argues that a task-oriented interaction between propositional structures and mental models can help learners evaluate the consistency of their…

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)

This paper focuses on the cultural aspects of research in mathematics learning. The shift to a more socio-cultural emphasis in mathematics education research is valid. The paper explores this point by examining challenges to the former research paradigm. These challenges include culturally-based mathematical knowledge and hidden values in…

This paper presents findings from a study that investigated students' understanding of quantum phenomena and focused on how students incorporate the ideas of quantum physics into their overall cognitive framework. The heuristic metaphor of the map is used to construct graphic representations of students' understanding of quantum physics. The…

This study addresses questions about particle physics that focus on the nature of electrons. Speculations as to whether they are more like particles or waves or like neither illustrate the difficulties with which students are confronted when trying to incorporate the concepts of quantum physics into their overall conceptual framework. Such…