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Quantitative Reasoning for Social Justice:
An Active Learning Workbook
Kenan Ince
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\(\newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \)
Front Matter
Colophon
Dedication
Acknowledgements
Preface
1
A Crash Course: Incorporating Social Justice into Postsecondary Math
1.1
Getting Started
1.1.1
Why Teach Postsecondary Math for Social Justice?
1.1.2
Other Texts for a Math for Social Justice Course
1.2
Example SJ Math Activities for the First Day
1.2.1
Group work and class norms
1.2.1.1
Ground rules
1.2.1.1
Exercises
1.2.1.2
Group roles
2
The Staggering & Inequitable Burden of Student Loans
2.1
Objectives
2.2
Cui Bono: Who Benefits?
2.2
Reading Questions
2.3
Big Problem: the Staggering and Inequitable Burden of U.S. Student Debt
2.4
Changes in College Tuition over Time
2.5
Student Debt by College Type
2.5
Student Debt over Time
2.5
Tuition by Nonprofit and Public Status
2.5
Trends at Your Institution
2.6
The Intersectional Inequities of Student Debt
2.6
The Toll of Student Debt in the U.S.
2.6
Trends in Student Aid
2.6
The Biden-Harris Loan Forgiveness Plans
2.6
Reading Questions
2.6
Reading Questions
2.6
Reading the News on Student Loans
2.6
Student Debt by Race: What Is Fair?
2.7
Solving for Change: Student Loan Reform & Activism in the U.S.
2.7
Student Loan Activism & Policy
2.7
Exercises
2.8
Wrap-Up Exercise
3
Secret Codes & the NSA
3.1
Objectives & Prerequisites
3.1
Preliminary Activity
3.2
The Caesar/shift cipher
3.3
Frequency analysis
3.4
Affine ciphers
3.5
Onramp to number theory
3.2
Extensions and Alterations
3.2.1
The Diffie-Hellman key exchange
3.2.2
Potential undergraduate research projects
3.3
Reflections and Advice
3.4
Additional Resources
4
Climate Change
4.1
Objectives
4.2
Understanding the Issue
4.3
Cui Bono - Who Benefits?
4.4
Big Problem: What is the best way to reduce greenhouse gas emissions?
4.5
Scientific Notation and Number Sense
4.5.1
Thinking about Size Comparisons
4.5.2
What is Scientific Notation?
4.5.3
Significant figures
4.6
Data Visualization
4.6.1
Types of Data
4.6.2
Graphs
4.6.2.1
Bar Graphs
4.6.2.2
Pie Charts
4.6.2.3
Scatterplots and Line Graphs
4.6.2.4
Combining Graphs
4.6.2.5
Other Ways of Visualizing Information
4.6.2.6
Accessibiliity
4.7
Mathematical Models
4.7.1
The Green House Effect
4.7.2
Modeling the Green House Effect
4.7.2.1
First Model: one level of atmosphere
4.7.3
Other Models and Measures
4.8
Solving for Change
4.8.1
Who is responsible for greenhouse gas emissions?
4.8.2
What are the strategies for reducing emissions?
4.8.3
Consequences of Failing to Act
4.9
Reading Questions
4.10
Exercises
4.11
References
4.11.1
Bibliography
4.11.2
Image Descriptions
5
Anti-Trans Legislation in the U.S.
5.1
Understanding the Issue
5.1
Anti-Trans Bills in the U.S. Starting 2018
5.2
Obtaining and Cleaning the Data
5.2.1
Importing and Merging the Data
5.2.1
Exercises
5.2.2
Cleaning the Data
5.3
Visualizing the Data
5.3.1
Bill Type vs. Status
5.3.1.1
Did the type of bill impact its likelihood of being passed and/or signed?
5.3.2
Is 2023 the Year of Transphobia?
5.4
Directions for Future Work
5.4.1
Bayesian Analysis
5.4.2
Textual Analysis of Template Bills & Proposed State Bills
5.4.3
Do Anti-Trans Bills Reflect the Will of Voters?
5.4.4
State Prioritization of Anti-Trans Bills
5.4.5
Impact of Anti-Trans Bills on Trans and Nonbinary Mental Health
5.4.6
Queer and Trans Resistance
5.5
Mini-Project: Analyzing Legislation
5.5
Exercises
5.6
References
Backmatter
A
Teaching Mathematics with an Equity Framework (A Literature Review)
A.1
Research Synthesis
A.2
Annotated Bibliography
B
Selected Hints
C
Selected Solutions
D
List of Symbols
Index
Colophon
Dedication
Dedication
For all those who dare to dream of a more just world.
