ERIC Number: EJ1178965
Record Type: Journal
Publication Date: 2018-Mar
Inverse Functions: Why Switch the Variable?
Teuscher, Dawn; Palsky, Kylie; Palfreyman, Charlie Y.
Mathematics Teacher, v111 n5 p374-381 Mar 2018
The goal of this article is to raise questions that will promote discussions among secondary mathematics teachers about the concept of inverse functions and how to motivate a more conceptual understanding of them in their classrooms. The authors share data to answer the following questions: (1) What meanings of inverse functions do high school students hold; (2) What meanings are helpful in advancing students' understanding of mathematics; and (3) In what ways can teachers elicit a more powerful meaning of inverse functions? The article concludes with questions to think about on the use of variables and how they relate to inverse functions.
Descriptors: Mathematics Instruction, Secondary School Mathematics, Mathematical Concepts, Teaching Methods, High School Students, Concept Formation, Algebra, Calculus
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
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: EHR0412537