**ERIC Number:**EJ1059584

**Record Type:**Journal

**Publication Date:**2015-Apr

**Pages:**7

**Abstractor:**ERIC

**ISBN:**N/A

**ISSN:**ISSN-1072-0839

**EISSN:**N/A

Mathematical Modeling and Pure Mathematics

Usiskin, Zalman

Mathematics Teaching in the Middle School, v20 n8 p476-482 Apr 2015

Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in mathematics classrooms. The five steps in the modeling process are nicely described in the Common Core State Standards for Mathematics (CCSSM) in the second half of the fourth Standard for Mathematical Practice. These five steps can be shortened to the following: (1) Choose the real problem; (2) Find a mathematical model for the simplified problem; (3) Solve the problem that is the mathematical model; (4) Translate the solution back into the real-world situation; and (5) Check whether the solution is feasible; if not, go back to step (1) or step (2). The three examples of mathematical modeling situations presented here all involve statistical ideas--even though statistics are never mentioned.

Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, State Standards, Academic Standards, Problem Solving, Relevance (Education), Statistics, Mathematical Concepts, Word Problems (Mathematics), Middle Schools, Secondary School Mathematics

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: orders@nctm.org; Web site: http://www.nctm.org/publications/

**Publication Type:**Journal Articles; Reports - Descriptive

**Education Level:**Middle Schools; Secondary Education; Junior High Schools

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A

**Grant or Contract Numbers:**N/A