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Bardini, Caroline; Pierce, Robyn; Vincent, Jill – Mathematics Education Research Group of Australasia, 2015
Analysis of mathematical notations must consider both syntactical aspects of symbols and the underpinning mathematical concept(s) conveyed. We argue that the construct of "syntax template" provides a theoretical framework to analyse undergraduate mathematics students' written solutions, where we have identified several types of…
Descriptors: Mathematics Achievement, College Freshmen, Symbols (Mathematics), Mathematical Concepts
Bardini, Caroline; Vincent, Jill; Pierce, Robyn; King, Deborah – Mathematics Education Research Group of Australasia, 2014
Despite an emphasis on manipulative algebraic techniques in secondary school algebra, many tertiary mathematics students have mastered these skills without conceptual understanding. A significant number of students with high tertiary entrance ranks enrolled in first semester university mathematics were found to have misconceptions relating to…
Descriptors: Misconceptions, Undergraduate Students, Mathematics Education, Mathematics Skills
Vincent, Jill; Bardini, Caroline; Pierce, Robyn; Pearn, Catherine – Australian Senior Mathematics Journal, 2015
In this article, the authors begin by considering symbolic literacy in mathematics. Next, they examine the origins of misuse of the equals sign by primary and junior secondary students, where "=" has taken on an operational meaning. They explain that in algebra, students need both the operational and relational meanings of the equals…
Descriptors: Mathematics, Mathematics Instruction, Algebra, Symbols (Mathematics)
Bardini, Caroline; Oldenburg, Reinhard; Stacey, Kaye; Pierce, Robyn – Mathematics Education Research Group of Australasia, 2013
Changes to students' understanding of mathematical notation may be brought about by using technology within mathematics. Taking equality as a case study, the paper provides brief epistemological, historical, didactical, and computational reviews of its symbolic representation in pen-and-paper and technology-assisted mathematics, most especially in…
Descriptors: Mathematics Instruction, Technology Uses in Education, Case Studies, Epistemology