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http://mikewiernicki.com @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools Grade 8 October 5, 2017

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Page 1: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Music: John Williams

Problem Based Learning &

Conceptual Understanding

Whitfield County SchoolsGrade 8

October 5, 2017

Page 2: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Music: John Williams

Problem Based Learning &

Conceptual Understanding

Whitfield County SchoolsGrade 8

October 5, 2017

Page 3: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Problem Based Learning &

Conceptual Understanding

Whitfield County SchoolsGrade 8

October 5, 2017

Music: John Williams

Page 4: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Page 5: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Goals for today:

• Explore problem-based lessons & decide when it is best to use them.

• Discuss the power of teaching conceptually using these lessons and other strategies.

• Explore instructional best practices.• Leave with ideas, resources and practices

you can put to use tomorrow.

Page 6: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

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What Does it Mean to Teach Conceptually?

Page 7: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies
Page 8: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Five Principles of Extraordinary Math TeachingDan Finkel - TEDx Rainier

Page 9: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

1. Start with a question.

2. Students need time to struggle.

3. You are not the answer key.

4. Say yes to your students’ ideas.

5. Play.

Five Principles of Extraordinary Math TeachingDan Finkel - TEDx Rainier

Page 10: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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Where are you now?

Where do you want to be?

How are you going to get there?

Pentagonal Corners

Page 11: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Game Time!

Page 12: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Break

Page 13: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

What is the same? What is different?

Page 14: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

What is different?What is the same?

Page 15: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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Directions: Using the numbers -5 to 5 at most once each, write an expression that will have the greatest (or least) absolute value.

Page 16: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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Lunch!

Page 17: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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Source: @mr_stadel

Page 18: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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Estimate

Too LowEstimate

Too HighEstimate

Page 19: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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What information do you need?

Page 20: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Source: @mr_stadel

Source: @mr_stadel

Page 21: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Source: @mr_stadel

Page 22: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

In a particular condominium community 2/3 of all of the men are married to 3/5 of all of the women.

What fraction of the entire condominium community are married?

The Condominium Problem

Page 23: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

GA-400 Toll Robbery

Earlier this morning a man held up a GA-400 toll booth. His stolen getaway car broke down and he is now on the run with

a 58 lb. bag of quarters.

– The Morning X Radio Show 99x - Nov. 10, 1999

Page 24: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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How much money is that? How big is the bag?

How many quarters is that?

How far can he run with a 58 lb. bag of quarters?

Which is more (money), 58 lbs. of quarters or 58 lbs. of nickels?How tall would the quarters be if they were stacked?

Page 25: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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Source: United States Mint

Page 26: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Page 27: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Game Time!

Page 28: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

8th

Page 29: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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8th

Page 30: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

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Sources for Problems Worth Solving

Open Middle

Desmos

http://mikewiernicki.com/whitfield-6th-grade-teachers

Page 31: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

The Ins and Outs of Desmos

teacher.desmos.com

student.desmos.com

Page 32: Problem Based Learning Conceptual Understanding · 05.10.2017  · when it is best to use them. • Discuss the power of teaching conceptually using these lessons and other strategies

http://mikewiernicki.com @mikewiernicki

Presentation Resources:

https://goo.gl/VAw5C9