2. Welcome! Reflecting on Practice 2012 Reflecting on PracticePark City Mathematics Institute2

3. Day 1: Introduction to Reflecting on Practice 2012 Meet each day 10:50 – 12:05 Meet in individual rooms (usually) New tables from Discovering Mathematics change each week Reflecting on PracticePark City Mathematics Institute3

4. What is Reflecting on Practice? Explore a facet of teaching and how it relates to us in our classrooms Using artifacts of practice Lessons Mathematical tasks Videos of classrooms Readings Reflecting on PracticePark City Mathematics Institute4

5. Welcome each other! Who are you? Where do you teach? What do you teach? What is 0ne thing that makes you memorable? Who has the next birthday? (You’re the Table Captain for the first week) Reflecting on PracticePark City Mathematics Institute5

6. Improving Mathematics Teaching (Stigler & Hiebert, 2004) At your table, go around and have each person respond to the question: What ideas did you find interesting in the article and why? Reflecting on PracticePark City Mathematics Institute6

7. Making Distinctions Procedural tasks Making connections tasks Reflecting on PracticePark City Mathematics Institute7

8. Types of Math Problems Presented How Teachers Implemented Making Connections Math Problems What did you notice? Reflecting on PracticePark City Mathematics Institute8

9. Types of Math Problems Presented How Teachers Implemented Making Connections Math Problems What did you notice? Reflecting on PracticePark City Mathematics Institute9

10. TIMSS Video TIMSS Videos – Trends in International Math & Science Study 1999 – collection of classroom observations from around world – http://timssvideo.com/ http://timssvideo.com/ Grade 8 class from Hong Kong Reflection on PracticePark City Mathematics Institute10

11. Tell the difference between an identity and an equation Prove whether a given equation is an identity Find the unknowns in a given identity Use the identities in expanding and factoring different expressions: Begin by solving Equations and Identities (3 periods) Reflecting on PracticePark City Mathematics Institute11

12. Flipping to Video… please stand by Reflection on PracticePark City Mathematics Institute12

13. Hong Kong: Identities in Algebra I 1.How was the classroom different from what you expected? 2.How was it the same? 3.What surprised you? (your table will be reporting out, so you might want to take really rough notes) Reflecting on PracticePark City Mathematics Institute13

14. Hong Kong: Identities in Algebra I Rerunning through the video… & transcript Note the questions the teacher asks. At your table, discuss the questions you found -- which struck you as especially important and why? Reflecting on PracticePark City Mathematics Institute14

15. Hong Kong : Identities in Algebra I At your table, develop your own way to cluster the questions. Be sure you can describe what your clustering is based on! Reflecting on PracticePark City Mathematics Institute15

16. We will be studying the questions teachers ask to see if we can find ways to connect them to student learning. How can we use questioning to implement procedural problems by making connections? Reflecting on PracticePark City Mathematics Institute16 Reflecting on Practice: Questioning

17. Types of Math Problems Presented How Teachers Implemented Making Connections Math Problems What did you notice? Reflecting on PracticePark City Mathematics Institute17

18. Homework for Tomorrow Go to the link: http://bit.ly/rop2012 and complete the survey. The link is on NING if you forget it. http://parkcitymathematicsinstitute.ning.com/ Reflecting on PracticePark City Mathematics Institute18