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Direct linkCangelosi, Richard; Madrid, Silvia; Cooper, Sandra; Olson, Jo; Hartter, Beverly – Journal of Mathematical Behavior, 2013
The purpose of this study was to determine whether or not certain errors made when simplifying exponential expressions persist as students progress through their mathematical studies. College students enrolled in college algebra, pre-calculus, and first- and second-semester calculus mathematics courses were asked to simplify exponential…
Descriptors: Numbers, Algebra, Calculus, College Mathematics
Modestou, Modestina; Gagatsis, Athanasios – Journal of Mathematical Behavior, 2013
The aim of this study was to propose a didactical situation for the confrontation of the epistemological obstacle of linearity (routine proportionality) and consequently for the enhancement of meta-analogical awareness. Errors caused by students' spontaneous tendency to apply linear functions in various situations are strong, persistent and do not…
Descriptors: Student Attitudes, Mathematical Concepts, Epistemology, Error Patterns
Vamvakoussi, Xenia; Van Dooren, Wim; Verschaffel, Lieven – Journal of Mathematical Behavior, 2012
A major source of errors in rational number tasks is the inappropriate application of natural number rules. We hypothesized that this is an instance of intuitive reasoning and thus can persist in adults, even when they respond correctly. This was tested by means of a reaction time method, relying on a dual process perspective that differentiates…
Descriptors: Reaction Time, Numbers, Mathematics, Adults
