Chapter 7: Mathematicians Ask Questions

101questions

• 101questions
• Fawn Nguyen‘s blog Four Square and Other Questions

Notice and Wonder™

Annie Fetter‘s ignite talk about Notice and Wonder is a great starting point:

Notice and Wonder Blogs from the Math Forum at NCTM team, especially Max Ray-Riek, Annie Fetter, and Suzanne Alejandre:

• Noticing and Wondering in Elementary School
• Noticing and Wondering in Middle School
• Noticing and Wondering in High School
• Using Problems of the Week–Getting Started
• Problem Solving: It Has to Begin with Noticing and Wondering
• Free Scenarios for Notice and Wonder
• Sense-Making? Aren’t We Already Doing That in Literacy?

Problem Posing

• Christopher Danielson‘s What did you learn?
• Making Sense a blogpost of mine about students’ thinking about word problems
• Springboarding a blogpost of mine about students posing problems after counting

When Students’ Questions Drive Teaching and Learning: “Are Shapes Math?”

• Van Hieles’ Theory of Geometric Thought
• An article from Teaching Children Mathematics about teaching geometry with Van Hieles’ model.
• Which One Doesn’t Belong? is an outstanding pair of books (student book and teacher’s guide) from Christopher Danielson that will help you teach geometry in a meaningful, question-driven way. Highly recommended.

A beautiful blogpost from @TAnnalet about 3rd-grade students’ questions about infinity: “Like Someone Walking Through Time Without Noticing He Is.”