Is This Vending Machine FUNCTIONing Correctly?

Author:
Jennifer N. LovettMiddle Tennessee State University in Murfreesboro

Search for other papers by Jennifer N. Lovett in
Current site
Google Scholar
PubMed
Close
,
Allison W. McCullochUniversity of North Carolina at Charlotte

Search for other papers by Allison W. McCulloch in
Current site
Google Scholar
PubMed
Close
,
Blain A. PattersonVirginia Military Institute

Search for other papers by Blain A. Patterson in
Current site
Google Scholar
PubMed
Close
, and
Patrick S. MartinMurfreesboro, Tennessee

Search for other papers by Patrick S. Martin in
Current site
Google Scholar
PubMed
Close

In this manuscript we describe a lesson that utilizes an applet we designed to help students develop a conceptual understanding of the concept of function. We describe how removing algebraic representations and focusing on a real world context can support students' development of these conceptual understandings of the function concept.

Supplementary Materials

    • Supplemental Materials (MS DOC 16.7 KB)
    • Supplemental Materials (MS DOC 16.5 KB)

Footnotes

Removing algebraic representations and focusing on a real-world context can support students' development of conceptual understandings of the function concept.

GeoGebra Page 1

GeoGebra Page 2

GeoGebra Page 3

GeoGebra Page 4

GeoGebra Page 5

GeoGebra Page 6

GeoGebra Page 7

GeoGebra Page 8

  • Collapse
  • Expand
Mathematics Teacher: Learning and Teaching PK-12
  • Carlson, Marilyn P. 1998. “A Cross-Sectional Investigation of the Development of the Function Concept.” Research in Collegiate Mathematics Education III, Issues in Mathematics Education 7, no. 1 (February): 11562.

    • Search Google Scholar
    • Export Citation
  • Cooney, Thomas J., Sybilla Beckman, and Gwendolyn M. Lloyd. 2010. Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9–12. Reston, VA: National Council of Teachers of Mathematics.

    • Search Google Scholar
    • Export Citation
  • Edwards, Michael Todd, and Jennifer Nickell. 2014. “Teaching Students about Functions with Dynagraphs.” Mathematics Teaching in the Middle School Blogarithm. August 16, 2014. http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/Blog/Teaching-Students-about-Functions-with-Dynagraphs/.

    • Search Google Scholar
    • Export Citation
  • Fernández, Eileen. 2005. “Understanding Functions without Using the Vertical Line Test.” Mathematics Teacher 99, no. 2 (September): 96100.

  • Huinker, DeAnn. 2002. “Calculators as Learning Tools for Young Children's Explorations of Number.” Teaching Children Mathematics 8, no. 6 (February): 31621.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Jackson, Kara J., Emily C. Shahan, Lynsey K. Gibbons, and Paul A. Cobb. 2012. “Launching Complex Tasks.” Mathematics Teaching in the Middle School 18, no. 1 (August): 2429.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • National Governors Association Center for Best Practices (NGA Center) and Council of Chief State School Officers (CCSSO). 2010. Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org.

    • Search Google Scholar
    • Export Citation
  • Reeves, Charles A. “Putting Fun into Function.” 2005/2006. Teaching Children Mathematics 12, no. 5 (December/January): 25059.

  • Smith, Margaret S., Elizabeth K. Hughes, Randi A. Engle, and Mary Kay Stein. 2009. “Orchestrating Discussions.” Mathematics Teaching in the Middle School 14, no. 9 (May): 54856.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Vinner, Shlomo, and Tommy Dreyfus. 1989. “Images and Definitions for the Concept of Function.” Journal for Research in Mathematics Education 20, no. 4 (July): 35666.

    • Crossref
    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 1269 670 38
Full Text Views 3031 194 15
PDF Downloads 1644 218 18
EPUB Downloads 0 0 0