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Direct linkCraig, Tracy S. – African Journal of Research in Mathematics, Science and Technology Education, 2016
Mathematical problem-solving is notoriously difficult to teach in a standard university mathematics classroom. The project on which this article reports aimed to investigate the effect of the writing of explanatory strategies in the context of mathematical problem solving on problem-solving behaviour. This article serves to describe the…
Descriptors: Expository Writing, Mathematical Logic, Problem Solving, Foreign Countries
Schwarz, B. B.; Linchevski, L. – Learning and Instruction, 2007
This paper examines task design that affords deep changes in mathematical thinking in the context of peer interaction. We describe a study in which 60 low-level high-school students solved a proportional reasoning task, the "blocks" task as individuals and/or in dyadic interaction. We show that we could tailor the design of the task in order to…
Descriptors: Persuasive Discourse, Hypothesis Testing, Interaction, Thinking Skills
De Vincenzo, Jose P. – 1985
Piaget's last works (1975, 1977, and 1980) add a dynamic aspect to his earlier exceptionally formal structural model. He portrays change in more functionalistic terms and describes conflict, referring to the process of perturbations and compensations to explain the regulations of the network of cognitive cycles. He suggests three types of balances…
Descriptors: Cognitive Ability, Cognitive Development, Compensation (Concept), Conflict
