Reflecting on Practice: Using Inquiry to Build Thinking Classrooms Unit 3, Session 4 2017 Reflecting on Practice Park City Mathematics Institute

Schoenfeld’s Presentation What resonated with you from his talk?

Park City Mathematics Institute Mamadou Lesson In your folder, you have copies of Deborah Ball’s goals for the Mamadou Half Rectangle lesson. Take a few minutes at your tables: What do you see in her goals that resonates with you with respect to access, agency and identify? Reflecting on Practice Park City Mathematics Institute

Park City Mathematics Institute Reflecting on Practice Park City Mathematics Institute

Video Patty has large numbers of students who speak languages other than English in their homes. As a result, she emphasizes clear communication and presents sentence frames to support partners in their initial collaborations. On the third day of school, Patty distributes bags of unifix cubes and “clues” they use to collaboratively create a precise representation.

Inside Mathematics

Table Group Talk Why do you think the teacher does this task on one of the first days of class?

Planning Activity 2 handouts: -TRU FRAMEWORK -Lesson Planning scenario On your vertical boards, record planning ideas for the three questions on the exponent handout. Use the TRU framework handout as a guide.

Norms for students Take turns Listen to others ideas Disagree with ideas not people Be respectful Helping is not the same as giving answers Confusion is part of learning Say your “becauses” “I can’t do that yet”

Norms for teachers Plan, plan, plan questions/discussion in advance Listen for what can be learned about students' thinking rather than for correct answers Identify & check a “hinge point” in the lesson where student understanding is critical for moving on “No hands up, except to ask a question”Leahy et al, 2005 Be relentless in asking what does it mean/why it works Maintain neutral stance with respect to answers Record responses so everyone can think about them Wait time before responses/after response Deflect questions to students-“Never say anything a kid can say” Plan, plan, plan questions/discussion in advance Burrill, 2013

Park City Mathematics Institute References Boaler, J. & Humphreys, C. (2005). Connecting Mathematical Ideas. Heinemann Horn, L. (2012). Strength in numbers: Collaborative learning in secondary mathematics. Reston VA: National Council of Teachers of Mathematics. National Research Council (2002), Growing dots. In H. Bass, H., Z. Usiskin, Z, & G. Burrill (Eds.) Classroom practice as a medium for professional development. Washington, DC: National Academy Press. TIMSS Video Study. (2003). National Center for Education Statistics (NCES). Third International Mathematics and Science Study. US2. Writing variable expressions. US 3 Exponents http://www.timssvideo.com/videos/mathematics/United%20States TRU Framework Reflecting on Practice Park City Mathematics Institute