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Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2012
We present background and an activity meant to show both instructors and students that mere button pushing with technology is insufficient for success, but that additional thought and preparation will permit the technology to serve as an excellent tool in the understanding and learning of mathematics. (Contains 5 figures.)
Descriptors: Educational Technology, Computer Assisted Instruction, Mathematics Instruction, Teaching Methods
Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2012
We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course. This situation crosses falling body modelling in an upper level differential equations course into a modest discrete dynamical systems unit of a first-year mathematics course. (Contains 1 figure.)
Descriptors: Mathematics Instruction, Undergraduate Study, College Mathematics, Equations (Mathematics)
Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2008
A complex technology-based problem in visualization and computation for students in calculus is presented. Strategies are shown for its solution and the opportunities for students to put together sequences of concepts and skills to build for success are highlighted. The problem itself involves placing an object under water in order to actually see…
Descriptors: Light, Calculus, Visualization, Computation
Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2008
This note discusses the introduction of Fourier series as an immediate application of optimization of a function of more than one variable. Specifically, it is shown how the study of Fourier series can be motivated to enrich a multivariable calculus class. This is done through discovery learning and use of technology wherein students build the…
Descriptors: Discovery Learning, Calculus, Mathematics Instruction, Educational Technology