Table Of Content
Introduction
- Why Learn Mathematical Thinking?
What is Mathematical Thinking?
Math and the Abstract
The Call for Abstract Thinking
- Precision
Vacuous Truth and Conditional Statements
The Ambiguity of English
“Synonyms” and “Antonyms”
Errors in Reasoning
Exercise
- Specializing, Generalizing, Convincing, and Conjecturing
Specializing
Generalizing
Conjecturing
Convincing
Exercise
- Mathematical Thinking and Its Companions
Synthetic and Analytical Thinking
Systemic Thinking
Critical Thinking
Creative Thinking
Recap
- Focus and Diffuse
The Einstellung Effect
Left-brain and Right-Brain
The Benefits of Taking a Break
How to Switch Your Thinking
Chunking
The Importance of Recall
Exercise
- Linearity and Nonlinearity
Two principles of linearity
We live in a nonlinear world.
The Swedish Conundrum
“Will All Americans Become Overweight or Obese?” 
- Probability and Risk
Expected Value
- Test Your Mathematical Might
How to deal with test anxiety?
Hard things first
Try this on multiple-choice guess tests
Key thoughts about tests
References
Notes