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Mirin, Alison; Zazkis, Dov – For the Learning of Mathematics, 2020
Much of the education research on implicit differentiation and related rates treats the topic of differentiating equations as an unproblematic application of the chain rule. This paper instead problematizes the legitimacy of this procedure. It develops a conceptual analysis aimed at exploring how a student might come to understand when and why one…
Descriptors: Calculus, Mathematics Education, Mathematical Concepts, Problem Sets
Almuna Salgado, Felipe – Mathematics Education Research Group of Australasia, 2016
This paper aims to revisit and clarify the term problem context and to develop a theoretical classification of the construct of levels of context use (LCU) to analyse how the context of a problem is used to formulate a problem in mathematical terms and to interpret the answer in relation to the context of a given problem. Two criteria and six…
Descriptors: Mathematics Activities, Context Effect, Problem Solving, Problem Sets
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Downs, Nathan; Parisi, Alfio V.; Galligan, Linda; Turner, Joanna; Amar, Abdurazaq; King, Rachel; Ultra, Filipina; Butler, Harry – International Journal of Research in Education and Science, 2016
A short series of practical classroom mathematics activities employing the use of a large and publicly accessible scientific data set are presented for use by students in years 9 and 10. The activities introduce and build understanding of integral calculus and trigonometric functions through the presentation of practical problem solving that…
Descriptors: Mathematics Activities, Calculus, Trigonometry, Problem Solving