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Mathematica animate5/17/2023 ![]() ![]() They offer a balance between what we think belongs in a first-year calculus course and what lends itself well to exploration in a Mathematica laboratory setting. The notebooks that follow represent our choice of laboratory topics for a course in one-variable calculus. I studied mathematics at a masters level and have taught students ranging from kindergarten through adulthood, everything from arithmetic through algebra, geometry, calculus, and statistics. We are enthusiastic believers in the value of a significant laboratory experience as part oflearning calculus, and we think Mathematica notebooks are a most appropriate and exciting way to provide that experience. We will not repeat the arguments or feign objectivity. Much has been written about the use and importance of technology in the teaching and learning of calculus. ![]() In addition, Mathematica notebooks are easy to edit, allowing flexible input for commands to Mathematica and stylish text for explanation to the reader. ![]() The combination of these capabilities makes Mathematica a natural resource for exploring the changing world of calculus and approaches to mastering it. This is an intervention study, whose data derive from interviews and practice planning meetings. We seek to understand what these teachers consider and what they mobilize or develop in this process. It also has the power to generate striking and colorful graphical images and to animate them dynamically. practices considered ambitious, involving Exploratory Mathematics Teaching and animations and simulations in the GeoGebra software. AB a computer algebra system, Mathematica is an excellent tool for numerical and symbolic computation. Thus it is both timely and appropriate to apply techniques of animation to the varied and important graphical aspects of calculus. Calculus is about change, and approaches to teaching calculus are changing dramatically. ![]()
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