Exploring the Mathematics of Gravity

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  • 1 Montclair State University, New Jersey

We provide an example from our integrated math and science curriculum where students explore the mathematical relationships underlying various science phenomena. We present the tasks we designed for exploring the covariation relationships that underlie the concept of gravity and discuss the generalizations students made as they interacted with those tasks.

Footnotes

Students develop covariational reasoning skills as they explore a simulation that modifies the different factors that determine the force of gravity.

Mathematics Teacher: Learning and Teaching PK-12
  • Blanton, Maria L., and James J. Kaput. 2011. “Functional Thinking as a Route into Algebra in the Elementary Grades.” In Early Algebraization: A Global Dialogue from Multiple Perspectives, edited by Jinfa Cai and Eric Knuth, pp. 523. Berlin, Heidelberg: Springer.

    • Search Google Scholar
    • Export Citation
  • Carlson, Marilyn, Sally Jacobs, Edward Coe, Sean Larsen, and Eric Hsu. 2002. “Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a Study.” Journal for Research in Mathematics Education 33 (5): 35278.

    • Search Google Scholar
    • Export Citation
  • Confrey, Jere, and Erick Smith. 1995. “Splitting, Covariation, and Their Role in the Development of Exponential Functions.” Journal For Research In Mathematics Education 26 (1): 6686.

    • Search Google Scholar
    • Export Citation
  • Dugger, William E. 2010. “Evolution of STEM in the United States.” Paper presented at the 6th Biennial International Conference on Technology Education Research, Queensland, Australia, December 8–11, 2010.

    • Export Citation
  • Moore, Kevin C., and Patrick W. Thompson. 2015. “Shape Thinking and Students' Graphing Activity.” In Proceedings of the 18th Meeting of the MAA Special Interest Group on Research in Undergraduate Mathematics Education, edited by Tim Fukawa-Connelly, Nicole E. Infante, Karen Keene, and Michelle Zandieh, pp. 78289, Pittsburgh, PA, February 19–21, 2015.

    • Export Citation
  • National Governors Association Center for Best Practices (NGA Center) and Council of Chief State School Officers (CCSSO). 2010. Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org.

    • Search Google Scholar
    • Export Citation
  • NGSS Lead States. 2013. Next Generation Science Standards: For States, By States. Washington, DC: The National Academies Press.

  • Pang, Jeong Suk, and Ron Good. 2000. “A Review of the Integration of Science and Mathematics: Implications for Further Research.” School Science and Mathematics 100 (2): 7382.

    • Search Google Scholar
    • Export Citation
  • Roschelle, Jeremy, Deborah Tatar, Nicole Shechtman, Stephen Hegedus, Bill Hopkins, Jennifer Knudsen, and Antoinette Stroter. 2007. Can a Technology-Enhanced Curriculum Improve Student Learning of Important Mathematics? Menlo Park, CA: SRI International.

    • Export Citation
  • Smith, Jaimie, and P. J. Karr-Kidwell. 2000. “The Interdisciplinary Curriculum: A Literary Review and a Manual for Administrators and Teachers.” Retrieved from ERIC database. (ED443172).

    • Export Citation
  • Smith, John P. (Jack), III, and Patrick W. Thompson. 2017. “Quantitative Reasoning and the Development of Algebraic Reasoning.” In Algebra in the Early Grades, edited by James J. Kaput, David W. Carraher, and Maria L. Blanton, pp. 11754. New York: Lawrence Erlbaum Associates.

    • Search Google Scholar
    • Export Citation
  • Thompson, Patrick W., and Marilyn P. Carlson. 2017. “Variation, Covariation, and Functions: Foundational Ways of Thinking Mathematically.” In Compendium for Research in Mathematics Education, edited by Jinfa Cai, pp. 42156, Reston, VA: National Council of Teachers of Mathematics.

    • Search Google Scholar
    • Export Citation

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