ICE Math: Geometric Software Illustrating Concentric Circles In Figure Skating

Diana Cheng*, Tetyana Berezovski**
* Assistant Professor, Towson University, Maryland, USA.
** Associate Professor, St. Joseph's University, Pennsylvania, USA.
Periodicity:October - December'2013
DOI : https://doi.org/10.26634/jmat.2.4.2611

Abstract

In light of the upcoming Winter Olympic Games, a mathematical modeling problem involving algebra and geometry is presented via dynamic geometry software in the context of pairsfigure skating. The death spiral involves a lady's and man's forming concentric circles with their blades on the ice. In-service elementary, middle and high school teachers used knowledge of rates and circumference to solve problems involving the death spiral. Teachers' work is analyzed and discussed.

Keywords

Mathematical Modeling, Dynamic Geometry Software, Teacher Education.

How to Cite this Article?

Cheng, D., and Berezovski, T. (2013). ICE Math: Geometric Software Illustrating Concentric Circles In Figure Skating. i-manager’s Journal on Mathematics, 2(4), 14-20. https://doi.org/10.26634/jmat.2.4.2611

References

[1]. Akyuz, Didem. (2012). “The Value of Debts and Credits.” Mathematics Teaching in the Middle School, 17(6): 332-8.
[2]. Ball, Deborah L., Thames, Mark H. and Phelps, Geoffrey. (2008). “Content Knowledge for Teaching: What makes it special?” Journal of Teacher Education, 59: 389-406.
[3]. Common Core State Standards Initiative (CCSSI). (2010). Common Core State Standards for Mathematics. Washington, DC: National Governors Association Center for Best Practices and the Council of Chief State School Officers. http://www.corestandards.org/assets/CCSI_Math%20Standards.pdf
[4]. Fennema, E., Franke, M. L., Carpenter, T.P., & Carey, D. A. (1993). Using children's mathematical knowledge in instruction. American Educational Research Journal, 30(3): 403-34.
[5]Greeno, J. G. (1993). For research to reform education and cognitive science. In L.A. Penner, G.M. Batsche, H.M. Knoff, & D.L. Nelson (Eds.), The challenge in mathematics and science education: Psychology's response. 153-92. Washington, DC: American Psychological Association.
[6]. Kerrigan, Nancy & Spencer, Mary. (2003). Artistry on Ice: Figure Skating Skills and Style. Human Kinetics: Champaign, IL.
[7]. Posamentier, Alfred S. (2003). Math Charmers: Tantalizing Tidbits for the Mind.Prometheus Books.
[8]. United States Figure Skating. (2013). http://usfsa.org/content/FactSheet.pdf
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.