The focus of the article is on the complex cognitive process involved in learning the concept of "straightness" in Non-Euclidean geometry. Learning new material is viewed through a conflict resolution framework, as a student questions familiar assumptions understood in Euclidean geometry. A case study reveals how mathematization of the straight…

To foster medical students' diagnostic knowledge a case-based worked example approach was implemented in the context of a computer-based learning environment. Thirty medical students were randomly assigned to the condition "with erroneous examples", and 31 students learned with correct examples. Diagnostic knowledge was operationalised…

Formerly, the "prisoners" problem was used by the author in his teaching chiefly as a process activity, with the intention of promoting certain investigative techniques: the idea of starting with a smaller problem (say, 10 prisoners, guards and cells, rather 100), and the importance of finding an effective method for displaying what was going on.…

A mathematical problem is solved using the extension-reduction or build it up-tear it down tactic. This technique is implemented in reviving students' earlier knowledge to enable them to apply this knowledge to solving new problems.

This study examined the impact of two epistemic commitments on the quality of college students' scientific reasoning in the domain of hydrostatics. These were the commitment to the consistency of theory with prior knowledge and commitment to the consistency of theory with evidence. Participants were 12 sophomore science majors enrolled in a large…

Even after repeated instruction, first year college chemistry students are often unable to apply stoichiometry knowledge to equilibrium and acid-base chemistry problems. The dynamic and interactive capabilities of online technology may facilitate stoichiometry instruction that promotes more meaningful learning. This study compares a…

This study assessed the development of spontaneous analogical transfer from story problems to physical tasks by examining the effects of practice alone, without intervention or explicit prompting. Participants were 216 children aged 5-8 years. The microgenetic technique was incorporated with each age group by following them for six consecutive…

These experiments explored the role of prior experience in 12- to 18-month-old infants' tool-directed actions. In Experiment 1, infants' use of a familiar tool (spoon) to accomplish a novel task (turning on lights inside a box) was examined. Infants tended to grasp the spoon by its handle even when doing so made solving the task impossible (the…

How do groups of 3 people establish common ground in problem-solving interactions differently from groups of 2? Do they do this differently when they are supported by videoconferencing technologies? The laboratory experiment reported here manipulated group size and video mediation for participants carrying out a laboratory map task that allowed…

Software-engineering education programs are intended to prepare students for a field that involves rapidly changing conditions and expectations. Thus, there is always a danger that the skills and the knowledge provided may soon become obsolete. This paper describes results and draws on experiences from the implementation of a computer…

It is complicated to design a computer simulation that adapts to students with different characteristics. This study documented cases that show how college students' prior chemistry knowledge level affected their interaction with peers and their approach to solving problems with the use of computer simulations that were designed to learn…

Bilingualism and multiculturalism have for four decades been official ideologies and policies in Canada but, as is often the case, the implementation and outcomes of such government policies nationally are less impressive than the rhetoric would suggest. This article reviews the political, theoretical and demographic contexts justifying support…

This discussion of metalearning theories and thinking skills in relation to instructional design highlights other papers presented in this journal issue. Topics discussed include properties of skills; problem solving; the concept of psychological sets in contrast to the concept of skill; and the organization of previously acquired systematic…

The purpose of this study was to investigate the effects of two types of maps (generative vs. completed) and the amount of prior knowledge (high vs. low) on well-structured and ill-structured problem-solving performance. Forty-four undergraduates who were registered in an introductory instructional technology course participated in the study.…

This study explores the mathematical problem-solving process of trainee teachers in a teachers' training institute. This research adopts a constructivist perspective that views learning mathematics as a process of constructing meaningful representation and knowledge as being constructed by the individual. The research methodology employs the case…