Study Guide for Chapter 11
Marcus du Sautoy’s full essay: How Mathematicians Are Storytellers and Numbers Are the Characters
Cultivating Skepticism: Convince Yourself, Convince a Friend, Convince a Skeptic
- New York Times’s puzzle/article about confirmation bias
- Veritasium‘s short film about confirmation bias:
- Wendy Petti’s Convince Me
What Counts as Proof?
- You can find many of Harel and Sowder’s papers at Harel’s publications link
- The Math Forum‘s Ask Dr. Math on inductive vs. deductive reasoning
- Plus Magazine has a nice introduction to optical illusions that might help you push students past “it looks like…” as a justification
- Stylianides’s excellent article Breaking the Equation ‘Empirical Argument = Proof’ at NRICH
- Dan Meyer‘s discussion of the relationship between doubt and proof
Knocking on Proof’s Door: Justifications with Younger Students
- Even and Odd Numbers: A Journey into the Algebraic Thinking Practice of Justification A two-part series on justification at the Teaching Children Mathematics blog (no membership needed). Part 1, Part 2
- Kristin Gray’s students work with claims about area and perimeter
Math as a Verb
Proof and Equity
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