Chapter 12: Mathematicians Work Together and Alone

Yuri Matijasevich and Julia Robinson

• Yuri Matijasevich’s description of working with Julia Robinson
• Film Trailer–Julia Robinson and Hilbert’s Tenth Problem

• Full movie details–Julia Robinson and Hilbert’s Tenth Problem

Thinking Partnerships

• Think Time and Collaborative Learning Excellent, brief video from the Teaching Channel. (2:19)
• How to Teach Math as a Social Activity video of 5th and 6th graders

• Fullilove and Treisman: Mathematics Achievement Among African American Undergraduates at the University of California, Berkeley: An Evaluation of the Mathematics Workshop Program
• Treisman: Studying Students Studying Calculus: A Look at the Lives of Minority Mathematics Students in College
• Video of groups reflecting on their work from NRICH.
• Peter Liljedahl’s website
• More on Vertical, Non-Permanent Surfaces:
  • Alex Overwijk‘s blogpost Vertical Non-Permanent Surfaces and Visible Random Groupings
  • Graham Fletcher‘s blogpost When Student Thinking Hits the Wall
  • Frank Noschese‘s blogpost The $2 Interactive Whiteboard
  • Anna Hester‘s blogpost My Favorite: Vertical Non-Permanent Surfaces (#VNPS) aka — Whiteboards!

Cross-Pollination

• My blogpost series about building number lines in kindergarten.
• Lovely blogpost from Simon Gregg about credit for productive mistakes.
• Teaching Channel video of Laretha Todd’s class giving credit: Can You Share Who Said That? (1:32)

Math Disputes

Chris Luzniak and Making Math Debatable:

• PBS video: Encouraging Debate
• PBS video: Get a Second Sentence
• Complete PBS series: Making the Case
• Chris’s website and blog

Resources for Mathematical Disputes:

• Christopher Danielson‘s book, Which One Doesn’t Belong? and the website it inspired, Which One Doesn’t Belong?, Crowdsourced by the #MTBoS; curated by Mary Bourassa.
• Would You Rather Math? A website from John Stevens
• KenKen from NCTM

Peer Feedback

• Video: Austin’s Butterfly: Building Excellence in Student Work–Models, Critique, and Descriptive Feedback from Ron Berger (6:18)

• More video and resources from Ron Berger and Expeditionary Learning about Critique

Chart describing different types of mathematical interactions and how students will signal for what they need (p 348-349).