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ERIC Number: EJ1000872
Record Type: Journal
Publication Date: 2012-Nov
Pages: 7
Abstractor: ERIC
Reference Count: 5
ISSN: ISSN-0025-5769
Looking for Connections between Linear and Exponential Functions
Lo, Jane-Jane; Kratky, James L.
Mathematics Teacher, v106 n4 p295-301 Nov 2012
Students frequently have difficulty determining whether a given real-life situation is best modeled as a linear relationship or as an exponential relationship. One root of such difficulty is the lack of deep understanding of the very concept of "rate of change." The authors will provide a lesson that allows students to reveal their misconceptions and improve their understanding of this significant concept as they explore the structural connections between these two mathematical relationships. Students will develop flexible thinking by comparing the structure of linear and exponential relationships and translating fluently between and within representations. The lesson focuses on tabular, graphical, and algebraic representations in a way that allows time for rich discussions and debate. The lesson is best used after students have some experience working with linear and exponential relationships separately, typically toward the end of a first-year algebra class or an integrated mathematics class. (Contains 4 figures and 2 tables.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Adult Education; Higher Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A