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Article
Using the Pottery Wheel to Explore Topics in Calculus
PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (2014)
  • Elin R Farnell
  • Marie A Snipes, Kenyon College
Abstract
Students sometimes struggle with visualizing the three-dimensional solids encountered in certain integral problems in a calculus class. We present a project in which students create solids of revolution with clay on a pottery wheel and estimate the volumes of these objects using Riemann sums. In addition to giving students an opportunity for tactile learning, this project focuses students’ attention on concepts relating to (i) functions that have no algebraic formula; (ii) notation and construction of Riemann sums; and (iii) error estimation. We will describe our project design, implementation, and suggested adaptations.
Keywords
  • Calculus,
  • integration,
  • solids of revolution,
  • pottery,
  • manipulatives,
  • tactile learning,
  • active learning
Disciplines
Publication Date
Fall September 25, 2014
DOI
10.1080/10511970.2014.922151
Citation Information
Elin R Farnell and Marie A Snipes. "Using the Pottery Wheel to Explore Topics in Calculus" PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies Vol. 25 Iss. 2 (2014) p. 170 - 180 ISSN: 1051-1970
Available at: http://works.bepress.com/elin_farnell/3/