Chapter 11: Mathematicians Prove

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

• Dan Meyer‘s Ignore the Adjectives. Watch the Verbs

• Mark Pettyjohn‘s blogpost about Math Celebration

Proof and Equity

• To get your feet wet with Danny Bernard Martin‘s work, you can start browsing these publications.