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Sümmermann, Moritz L. – International Journal for Technology in Mathematics Education, 2019
Ariadne is a touch-based program for the learning of homotopies of paths, without the use of formalism, by building mental models. Using Ariadne, the user can construct points, paths by dragging points and homotopies by dragging paths as well as compute winding numbers of paths, all on a variety of surfaces, through touch gestures. Ariadne…
Descriptors: Mathematics Instruction, Computer Software, Teaching Methods, Problem Solving
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Farnell, Elin; Snipes, Marie A. – PRIMUS, 2015
Students sometimes struggle with visualizing the three-dimensional solids encountered in certain integral problems in a calculus class. We present a project in which students create solids of revolution with clay on a pottery wheel and estimate the volumes of these objects using Riemann sums. In addition to giving students an opportunity for…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Teaching Methods