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Retamoso, Ivan – Mathematics Teaching Research Journal, 2022
A very common Applied Optimization Problem in Calculus deals with minimizing a distance given certain constraints, using Calculus, the general method for solving these problems is to find a function formula for the distance that we need to minimize, take the derivative of the distance function, set it equal to zero, and solve for the input value,…
Descriptors: Heuristics, Calculus, Problem Solving, Geometric Concepts
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
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