Table of Contents
Examining Students’ Practices in Algebra and Function
These modules are designed as a companion to the Teaching Algebra Module . The modules focus on supporting preservice secondary mathematics teachers’ development of pedagogical skills related to professional noticing of student thinking and utilizing the 5 Practices to Orchestrate Productive Mathematics Discussions in technology-mediated learning environments. Each module has opportunities for teachers to engage in technology-mediated tasks in algebra and functions and view several videos of students working on the same tasks. The first module describes the framework that guided task development - making explicit the importance of the coordination of students’ engagement (what they do and see as a result) with the technology and their expressed mathematical understandings. Consistent with the Teaching Algebra Module materials, tasks in the 7 modules are designed to simultaneously develop deeper understanding of foundational algebraic ideas and build technological pedagogical algebra knowledge.
Choose a Module Below
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1Introduction to Noticing Student Thinking in a Technology-mediated Environment
**NEW MATERIAL REPLACES PRIOR CHAPTER 0** Introduces the construct of professional noticing of students’ mathematical thinking in technology-mediated learning environments and its connection to the 5 Practices for Orchestrating Productive Mathematical Discussions which are used throughout the modules.
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2Algebraic Equivalence
Coming Soon
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3Qualitative Analysis of Representations of Functional Relationships
Examine ways students use dynamic graphing tools and simulations to describe functional relationships qualitatively with an emphasis on anticipating and interpreting student thinking to inform the orchestration of productive mathematics discussions.
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5The Function Concept - Functions and Non-Functions
Examine how students engage with a non-standard representation of function, a Vending Machine GeoGebra applet, to develop a deep understanding of function with an emphasis on notice and wonder, predicting student thinking, and selecting and sequencing.
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6Characteristics of Function Families
Coming Soon
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7Trigonometric Functions
Examine ways in which students engage with dynamic graphing tools to build on their understanding of transformations of function to identify key characteristics of the graph of a sine function (i.e., amplitude, midline, and period) with an emphasis on monitoring student thinking to inform orchestration of a productive mathematics discussion.
Online Tool Needed: Desmos