Preparing to Teach Mathematics with Technology

Preparing to Teach Mathematics with Technology

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Teaching Algebra > Chapter 7

Teaching Algebra Chapter 7-Function Families

When examining a real situation that we want to model with mathematics, recognizing particular behaviors and knowing which function families they are consistent with can help determine which functions might be best to model that situation. In this chapter, teachers will examine multiple representations of function families including, geometric objects, DynaGraphs and Cartesian graphs. Teachers will explore function families through geometric transformations, and parameter explorations using sliders in dynamic mathematics software. Finally, teachers will consider the role of context in mathematical modeling tasks to build an understanding of the sine function family.


ESP Logo This chapter could be used alongside four Modules within the Examining Students’ Practices (ESP) in Algebra and Function:

Module 4: Characteristics of Function Families
Module 6: Key Features of Quadratic Functions
Module 7: Key Features of the Sine Functions
Module 8: Using Dynagraphs to Explore Functions

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PTMT is supported by the National Science Foundation under grants DUE 0442319, 0817253, 1123001 1625713, 1820976, and 2235338 awarded to NC State University, grant DUE 1820998 awarded to Middle Tennessee State University, grant DUE 1821054 awarded to University of North Carolina at Charlotte, and grants DUE 1820967 and 2235393 awarded to East Carolina University. Any opinions, findings, and conclusions or recommendations expressed herein are those of the principal investigators and do not necessarily reflect the views of the National Science Foundation.