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Writing in a Pre-Calculus: “Why Does an Exponential Model Make Sense?”

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Abstract:

In a typical pre-calculus class, students work with linear, polynomial, exponential, logarithmic, and piece-wise defined functions. A student is asked, in a project assignment, to obtain paired data on a topic of interest to him/her and examine the use of various types of algebraic functions to model that data. The student must assess each model and select the best overall model. A final part of the project report (worth 20% of the project grade) requires the student to describe why it makes sense that the chosen model truly describes the relationship between the two variables. For this reason, it is important that the student’s data are drawn form an area of interest to the student. Two recent examples include a quadratic model to describe the relationship between hits and runs scored by Major League Baseball players and the exponential decay model describing the relationship between a player’s height and the average number of digs per game for NCAA Division I volleyball players.
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Name: Mathematical Association of America
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http://www.maa.org


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URL: http://citation.allacademic.com/meta/p200418_index.html
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MLA Citation:

Siegel, Murray. "Writing in a Pre-Calculus: “Why Does an Exponential Model Make Sense?”" Paper presented at the annual meeting of the Mathematical Association of America, The Fairmont Hotel, San Jose, CA, Aug 03, 2007 <Not Available>. 2013-12-15 <http://citation.allacademic.com/meta/p200418_index.html>

APA Citation:

Siegel, M. H. , 2007-08-03 "Writing in a Pre-Calculus: “Why Does an Exponential Model Make Sense?”" Paper presented at the annual meeting of the Mathematical Association of America, The Fairmont Hotel, San Jose, CA <Not Available>. 2013-12-15 from http://citation.allacademic.com/meta/p200418_index.html

Publication Type: Conference Paper/Unpublished Manuscript
Abstract: In a typical pre-calculus class, students work with linear, polynomial, exponential, logarithmic, and piece-wise defined functions. A student is asked, in a project assignment, to obtain paired data on a topic of interest to him/her and examine the use of various types of algebraic functions to model that data. The student must assess each model and select the best overall model. A final part of the project report (worth 20% of the project grade) requires the student to describe why it makes sense that the chosen model truly describes the relationship between the two variables. For this reason, it is important that the student’s data are drawn form an area of interest to the student. Two recent examples include a quadratic model to describe the relationship between hits and runs scored by Major League Baseball players and the exponential decay model describing the relationship between a player’s height and the average number of digs per game for NCAA Division I volleyball players.

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