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Conditional Inference and Advanced Mathematical Study: Further Evidence
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Inglis, Matthew; Simpson, Adrian – Educational Studies in Mathematics, 2009
In this paper, we examine the support given for the "theory of formal discipline" by Inglis and Simpson (Educational Studies Mathematics 67:187-204, "2008"). This theory, which is widely accepted by mathematicians and curriculum bodies, suggests that the study of advanced mathematics develops general thinking skills and, in particular, conditional…
Descriptors: Discipline, Thinking Skills, Statistical Inference, Mathematics Education
Which Notion of Implication Is the Right One? From Logical Considerations to a Didactic Perspective.
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Durand-Guerrier, Viviane – Educational Studies in Mathematics, 2003
Summarizes Tarski's semantic truth theory to clarify different aspects of implication. Extends the classical definition of implication as a relationship between propositions to a relationship between open sentences with at least one free variable. Analyzes two problematic situations and the presentation of some experimental results from research…
Descriptors: Cognitive Processes, Higher Education, Logical Thinking, Mathematics Education