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Inequalities with Parameters as Generators of New Meanings

  • Sergei AbramovichEmail author
Chapter
  • 1.1k Downloads
Part of the Mathematics Education in the Digital Era book series (MEDE, volume 3)

Abstract

This chapter concerns the exploration of inequalities with parameters. The use of graphical strategies for solving one-variable inequalities made possible by TEMP supported by the Graphing Calculator was shown in Chap. 2. As will be demonstrated below, such an approach proves to be especially fruitful when dealing with inequalities with parameters. The aim of this chapter is to show how TEMP can be incorporated into this more advanced context (which also includes simultaneous inequalities with parameters) through a combination of computational and analytical problem-solving techniques. These techniques are based on the method of locus construction used in the previous chapter when dealing with equations with parameters.

Keywords

Parameter Locus Inequality Absolute value 3D graphing Problem posing Simultaneous inequalities Necessary conditions Sufficient conditions Qualitative methods Location of roots the Graphing Calculator Maple Wolfram Alpha 

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.State University of New York at PotsdamPotsdamUSA

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