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

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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

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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)

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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?

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Making Distinctions• Procedural tasks• Making connections tasks

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

What did you notice?

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

What did you notice?

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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

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• 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)

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Flipping to Video… please stand by

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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)

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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?

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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!

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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?

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Reflecting on Practice: Questioning

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

What did you notice?

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Homework for TomorrowGo to the link:

http://bit.ly/rop2012 and complete the survey.

The link is on NING if you forget it.http://parkcitymathematicsinstitute.ning.com/

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