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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
Whitacre, Ian; Bishop, Jessica Pierson; Lamb, Lisa L. C.; Philipp, Randolph A.; Schappelle, Bonnie P.; Lewis, Melinda L. – Journal of Mathematical Behavior, 2012
The purpose of this study was to investigate elementary children's conceptions that might serve as foundations for integer reasoning. Working from an abstract algebraic perspective and using an opposite-magnitudes context that is relevant to children, we analyzed the reasoning of 33 children in grades K-5. We focus our report on three prominent…
Descriptors: Mathematics Education, Numbers, Logical Thinking, Mathematical Logic
Rivera, F. D.; Becker, Joanne Rossi – Journal of Mathematical Behavior, 2007
The article deals with issues concerning the abductive-inductive reasoning of 42 preservice elementary majors on patterns that consist of figural and numerical cues. We discuss: ways in which the participants develop generalizations about classes of abstract objects; abductive processes they exhibit which support their induction leading to a…
Descriptors: Preservice Teacher Education, Majors (Students), Cues, Logical Thinking
