Welcome!

Reflecting on Practice 2012

Reflecting on Practice Park City Mathematics Institute 2

Reflecting on Practice 2012

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 Practice Park City Mathematics Institute 3

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 Practice Park City Mathematics Institute 4

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 Practice Park City Mathematics Institute 5

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 Practice Park City Mathematics Institute 6

Making Distinctions

• Procedural tasks• Making connections tasks

Reflecting on Practice Park City Mathematics Institute 7

Types of Math Problems Presented How Teachers Implemented Making Connections Math Problems

What did you notice?

Reflecting on Practice Park City Mathematics Institute 8

Types of Math Problems Presented How Teachers Implemented Making Connections Math Problems

What did you notice?

Reflecting on Practice Park City Mathematics Institute 9

TIMSS Video

• TIMSS Videos– Trends in International Math & Science

Study 1999– collection of classroom observations from

around world– http://timssvideo.com/

• Grade 8 class from Hong Kong

Reflection on Practice Park City Mathematics Institute 10

• 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 Practice Park City Mathematics Institute 11

Flipping to Video… please stand by

Reflection on Practice Park City Mathematics Institute 12

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 Practice Park City Mathematics Institute 13

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 Practice Park City Mathematics Institute 14

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 Practice Park City Mathematics Institute 15

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 Practice Park City Mathematics Institute 16

Reflecting on Practice: Questioning

Types of Math Problems Presented How Teachers Implemented Making Connections Math Problems

What did you notice?

Reflecting on Practice Park City Mathematics Institute 17

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 Practice Park City Mathematics Institute 18