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Boggs, George; Whitacre, Ian; Schellinger, Jennifer; Champagn, Zachary; Schoen, Robert – For the Learning of Mathematics, 2018
The literature concerning students' understanding of the equal sign has focused narrowly within the context of formal mathematics. Researchers have put forth a hierarchy of conceptions of the equal sign with only the top level regarded as correct. Meanwhile, we find that the equal sign is used widely and in a variety of ways in advertising and…
Descriptors: Symbols (Mathematics), Mathematical Concepts, Concept Formation, Teaching Methods
Whitacre, Ian; Bouhjar, Khalid; Bishop, Jessica Pierson; Philipp, Randolph; Schappelle, Bonnie P. – For the Learning of Mathematics, 2016
Rather than describing the challenges of integer learning in terms of a transition from positive to negative numbers, we have arrived at a different perspective: We view students as inhabiting distinct mathematical worlds consisting of particular types of numbers (as construed by the students). These worlds distinguish and illuminate students'…
Descriptors: Mathematics Instruction, Numbers, Number Concepts, Mathematical Logic