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ERIC Number: EJ1150821
Record Type: Journal
Publication Date: 2017-May
Pages: 5
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0025-5769
EISSN: N/A
Data Modeling Using Finite Differences
Rhoads, Kathryn; Mendoza Epperson, James A.
Mathematics Teacher, v110 n9 p709-713 May 2017
The Common Core State Standards for Mathematics (CCSSM) states that high school students should be able to recognize patterns of growth in linear, quadratic, and exponential functions and construct such functions from tables of data (CCSSI 2010). In their work with practicing secondary teachers, the authors found that teachers may make some tacit assumptions when modeling data with functions, and this article addresses two points that are commonly overlooked: 1. An "n"th-degree polynomial is not the only type of function that can model data with constant "n"th differences over equal-size intervals. 2. An "n"th-degree polynomial is, however, the only type of function with domain R that has constant "n"th differences over equal-size intervals without restricting interval size or input values.
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/mathematics-teacher/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; High Schools
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A