Advanced Curriculum
Over the summer, I will be taking two online classes in linear algebra and vector calculus in order to advance my own mathematics educations. In my senior year, I will be taking linear algebra and multivariable calculus as well to further my math education beyond AP Calc BC.
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Designing Math Tools
I will spend a large portion of my time designing different learning tools that will help advanced mathematics students visualize advanced topics that are often skipped over.
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Building Math Tools
Building the tools themselves will be my largest challenge as I will have to learn how to actually construct my different tools This process will also require math as I determine mechanics and dimensions.
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Project Abstract
I am creating a collection of tactile learning materials to teach advanced mathematics concepts. Starting from introductory level calculus topics to advanced themes in linear algebra, vector calculus, and multivariable calculus, I am designing and fabricating physical models that will help advanced math students truly visualize what they are learning. Visualization, though it becomes increasingly important in more advanced math courses, is often rushed in a rapidly paced class. I believe that if there were resources available to contextually explain and demonstrate advanced topics, ‘impossible’ math would feel much less daunting. In this way, advanced classes would become more accessible to students who would benefit from a physical model to help them visualize what they are learning. By the end of my junior year I will have only taken math through AP Calculus BC. I am taking classes in Linear Algebra and Multivariable Calculus through Severn’s course offerings next year and/or MSON, as well as Coursera/EDX courses over the summer as a part of the project. I believe that if we abandon the notion that physical models in math classes are only for young learners, so many more students would gain confidence in and feel empowered to pursue mathematics beyond a standard curriculum.
