Stocking Fish: A Recursive Problem
Abstract
In the following paper, the authors share the Trout Pond Exploration, an activity designed to engage students in sequential reasoning. The authors revise the exploration to include student access to advanced digital technologies, namely spreadsheets. Using these tools, students follow their natural inclination to solve the task using recursive methods.
References
Lannin, J. K. (2004). Developing mathematical power by using explicit and recursive reasoning. Mathematics Teacher, 98(4), 216-223.
Lannin, J. K., Barker, D. D., Townsend, B. E. (2006). Recursive and explicit rules: How can we build student algebraic understanding? Journal of Mathematical Behavior, 25, 299-317.
National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: Authors.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
NCTM (2008). Trout pond exploration. Retrieved from https://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/9-12/TroutPond-AS1a.pdf
Rubenstein, R. N. (2002). Building explicit and recursive forms of patterns with the function game. Mathematics Teaching in the Middle School, 7(8), 426-431.
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Copyright (c) 2017 S. Asli Ozgun-Koca, Michael Meagher
