Walking the Ellipse
Keywords:
Ellipse, Conic Sections, Mathematical Modeling, GeometryAbstract
The Walking the Ellipse activity is a mathematical modeling task that allows students to explore the ellipse in a plausible real-world scenario. Students will gain a better understanding of the definition of the ellipse by creating an elliptical model first using markers, paper, and string and later dynamic geometry. This activity was successfully performed with strong middle grades students in a summer camp and can be modified to be performed with students at their school.
References
Abramson, J. (2020). The ellipse (8.1). College Algebra. Retrieved from https://math.libretexts.org/Courses/Western_Connecticut_State_University/Draft_Custom_Version_MAT_131_College_Algebra/08A_Analytic_Geometry/8.01A_The_Ellipse
Almukahhal, R., Spence, L., Landers, M., Fiori, N., Fortgang, A., & Vigil, M. (2022). Applications of Parabolas (6.5) CK-12 Math Analysis Concepts. Retrieved from https://flexbooks.ck12.org/cbook/ck-12-math-analysis-concepts/section/6.5/primary/lesson/applications-of-parabolas-mat-aly
Apostol, T. & Mnatsakanian, M. (2011). Ellipse to hyperbola: With this string I thee wed. Mathematics Magazine, 84(2), 83–97.
Glydon, N. (2023). Lithotripsy—A medical application of the ellipse. MathCentral. Retrieved from http://mathcentral.uregina.ca/beyond/articles/Lithotripsy/lithotripsy1.html
Conics in Real Life (2020). In Math & Beyond. Retrieved from https://www.cuemath.com/learn/mathematics/conics-in-real-life/
Geogebra.org. (2023). GeoGebra Classic, Version 5.0. Available at: https://www.geogebra.org/classic [Accessed 27 March 2023].
Gorelick, N., Hancher, M., Dixon, M., Ilyushchenko, S., Thau, D., & Moore, R. (2017). Google Earth engine: Planetary-scale geospatial analysis for everyone. Remote Sensing of Environment 202, 18–27. Available at: https://www.sciencedirect.com/science/article/pii/S0034425717302900.
Jackiw, N. (1991). The Geometer’s Sketchpad. Emeryville: Key Curriculum Press.
National Governors Association Center for Best Practices (NGA Center) & the Council of Chief State School Officers (CCSSO). (2010). Common Core Standards for Mathematics. Author. Available at http://corestandards.org.
Nelson, L. (Writer). (1999, January 19). Melissa Brannen: Missing (Season 1, Episode 8) [TV Series Episode]. In T. Golden (Executive Producer), FBI Files. New Dominion Pictures.
Shell-Gellasch, A. (2016). How do we draw an ellipse?, Math Horizons 23(4), 23–25. Available at: https://doi.org/10.4169/mathhorizons.23.4.23.
Sloggatt, M. (2012). The Elegant Ellipse. This Carpentry [website]. Available at: https://www.thisiscarpentry.com/2012/03/30/the-elegant-ellipse.
Williams, G. & Huang, H. (2015). Learning and cognition in mathematics. In Cho, S. (Eds.) The Proceedings of the 12th International Congress on Mathematical Education. Springer.
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Copyright (c) 2023 Michael Waters, Katie Waters