This timely book provides support for secondary mathematics teachers learning how to enact high-quality, equitable math instruction with dynamic, mathematics-specific technologies.
Using practical advice from their own work as well as from interviews with 23 exceptional technology-using math teachers, the authors develop a vision of teaching with technology that positions all students as powerful doers of mathematics using math-specific technologies (e.g., dynamic graphing and geometry applications, data exploration tools, computer algebra systems, virtual manipulatives). Each chapter includes sample tasks, advice from technology-using math teachers, and guiding questions to help teachers with implementation. The book offers a rich space for secondary math teachers to explore important pedagogical practices related to teaching with technology, combined with broader discussions of changing the narratives about students – emphasizing the mathematics they can do and the mathematics they deserve.
Accompanying online support materials include video vignettes of teachers and students interacting around technology-enhanced tasks in the classroom, as well as examples of more than 30 high-quality technology-enhanced tasks.
Author(s): Allison W. McCulloch, Jennifer N. Lovett
Publisher: Routledge/Eye on Education
Year: 2023
Language: English
Pages: 245
City: New York
Cover
Half Title
Endorsement Page
Title Page
Copyright Page
Dedication
Table of Contents
List of Links
Acknowledgments
Meet the Tech-Math Teachers
About the Authors
Part I: Planning for and Implementing Technology-Enhanced Math Tasks
What We Mean by Technology-Enhanced Math Tasks
What You Can Expect in This Book
Chapter 1: Using Technology to Position Students as Math Explorers
Example 1: Tangent Line to a Circle
Vignette: Isaiah and Sam Investigate Tangent Lines to a Circle
Example 2: Concept of Function
Vignette: Luz and Leah Identifying Functions
Concluding Thoughts
Questions to Discuss With Your Colleagues
Chapter 2: Math Specific Technology Tools
Types of Math Action Technologies
Dynamic Graphing Applications
Dynamic Geometry Applications
Data Exploration and Analysis Applications
Computer Algebra Systems and Dynamic Algebra Notation Systems
Spreadsheets
Virtual Manipulatives
Interactive Applets
Activity Builders
Concluding Thoughts
Questions to Discuss With Your Colleagues
Chapter 3: Deciding When and What to Use
Deciding Whether or Not to Use Technology in a Lesson
Will Technology Allow Us to See the Mathematical Concept Differently?
An Example: Pig Pen
Will Technology Allow Us to Create Representations Quickly and Accurately So We Can Spend Time Analyzing Them and Working to Generalize?
An Example: Triangle Midsegments
Will Technology Open Us Up to Different Solution Strategies?
An Example: The Zip Line Task
Will Technology Provide Meaningful and Immediate Feedback?
An Example: Intercepts vs. Intersections
Deciding Which Technology to Use
Using Math Action Technologies within Activity Builders
Questions to Discuss With Your Colleagues
Chapter 4: Selecting Technology-Enhanced Tasks
Characteristics of a Good Technology-Enhanced Math Task
An Example: Graphing Stories
Principles for Designing Technology Sketches for Exploring Mathematics
Technology Must Allow for Exploration
An Example: Triangle Buster
Draw Attention to Important Tools and Representations
Make Sure the Sketch is Mathematically Correct
Space is Used Efficiently
Prompts to Accompany Technology Sketches for Exploring Mathematics
Advice for Selecting Technology-Enhanced Tasks
Start Small
Don’t Reinvent the Wheel
Engage with the Task
Collaborate with Other Tech-Using Teachers
Questions to Discuss With Your Colleagues
Chapter 5: Launching Technology-Enhanced Tasks
Characteristics of an Effective Launch of a Technology-Enhanced Task
Examples of Effective Technology-Enhanced Task Launches
Example 1: Pixar vs. DreamWorks
Vignette: Kristen Launching the Pixar vs. DreamWorks Task
Example 2: Arcs and Intersecting Chords
Vignette: Kristen Launching the Arcs and Intersecting Chords Task
Looking Across the Examples
Questions to Discuss With Your Colleagues
Chapter 6: Noticing and Eliciting Student Thinking in Technology-Mediated Environments
An Example: Mystery Transformations
Vignette: Abby and Addison Working on the Mystery Transformation Task
Unpacking Abby’s and Addison’s Thinking on the Mystery Transformations Task
A Framework to Guide Our Noticing of Student Thinking
An Example: Making Sense of Box Plots
Vignette: Kyle and JP Working on the Making Sense of Box Plots Task
An Example: Rational Functions and Vertical Asymptotes
Vignette: Eden and McKenzie Working on the Introduction to Vertical Asymptotes Task
Questions to Discuss With Your Colleagues
Chapter 7: Facilitating Whole-Class Discussions in Technology-Mediated Environments
An Example: Discussing Characteristics of Ellipses
Norms That Support Collaboration and Discourse
Facilitating Whole-Class Discussions in the Context of a Technology-Enhanced Task
An Example: Geometric and Algebraic Definitions of an Ellipse
Vignette: Kristen’s Whole-Class Discussion About Equations and Graphs of Ellipses
Using Teacher Dashboards to Support Equitable Participation in Math Discourse
An Example: Exploring Measures of Center
Vignette: Nina’s Whole-Class Discussion About Mean as a Balance Point
Strategies for Selecting and Sequencing
Selecting and Sequencing Without a Teacher Dashboard
Questions to Discuss With Your Colleagues
Part II: Putting It All Together
Chapter 8: Examples of Technology-Enhanced Algebra and Function Tasks
Example 1: Distance vs. Time Scenarios and the Graphs That Represent Them
Description of the Task
Advice for Teachers Wanting to Use This Task
Example 2: Introduction to Polar Functions
Description of the Task
Advice for Teachers Wanting to Use This Task
Example 3: Graphing Instantaneous Rates of Change
Description of the Task
Advice for Teachers Wanting to Use This Task
Chapter 9: Using Technology-Enhanced Tasks to Support Student Exploration of Geometry
Example 1: Exploring Rigid Transformations
Description of the Task
Advice for Teachers Wanting to Use This Task
Example 2: Introduction to Radians
Description of the Task
Advice for Teachers Wanting to Use This Task
Example 3: Geometric Constructions in GeoGebra
Description of the Task
Advice for Teachers Wanting to Use This Task
Chapter 10: Using Technology-Enhanced Tasks to Support Student Exploration in Statistics and Probability
Example 1: Exploring Standard Deviation
Description of the Task
Advice for Teachers Wanting to Use This Task
Example 2: Testing the Reasonableness of Randomness Through Simulation
Description of the Task
Advice for Teachers Who Might Want to Use This Task
Example 3: Investigating Sample Statistics for Random and Nonrandom Samples
Description of the Task
Advice for Teachers Wanting to Use This Task
References
