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1999-Richard_Single-Different quotients-derivatives-and data through modeling with slime

Author(s): Richard Single

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Keywords: data analysis slime difference quotient spread of slime

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Abstract

Resource Image In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data.

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Single, Richard M. 1999. Different quotients, derivatives, and data through modeling with slime. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 9(3): 279-288.

See https://www.tandfonline.com/doi/abs/10.1080/10511979908965934 . Accessed 27 March 2023.

Articles in this journal are FREEly available to members of the Mathematical Association of America through the member portal at www.maa.org .

ABSTRACT: In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data. I also discuss an extension to the experiment through which students can discover the meaning of parameter estimation in a mathematical model.

The data is given on the spread of a cylinder of slime and one could also go after this directly with a differential equation model and estimate spread parameters.

KEYWORDS: data analysis, difference quotient, slime, model

 

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Author(s): Richard Single

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