problem based learning conceptual understanding€¦ · 14/11/2017  · @mikewiernicki music: john...

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http://mikewiernicki.com @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools November 14, 2017

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Page 1: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Music: John Williams

Problem Based Learning &

Conceptual Understanding

Whitfield County Schools

November 14, 2017

Page 2: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Music: John Williams

Problem Based Learning &

Conceptual Understanding

Whitfield County Schools

November 14, 2017

Page 3: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Goals for today:

• Explore problem-based lessons.• Discuss the power of teaching conceptually using

these lessons and other strategies.• Explore instructional best practices.• Learn and play math games and discuss uses in

the math classroom.• Explore, plan, and develop activities using

DESMOS and OUR.• Leave with ideas, resources and practices you can

put to use tomorrow.

Page 4: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

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 5: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Consecutive Sums

13 = 6 + 7

14 = 2 + 3 + 4 + 5

25 = 12 + 13 25 = 3 + 4 + 5 + 6 + 7

Is there a general rule for how many different ways a number can be written as a

sum of consecutive positive integers? If there is a general rule, what is it?

Page 6: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

@mikewiernicki

Page 7: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

@mikewiernicki

Page 8: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

it was a nickel?

it was a dime? it was a quarter?

it was a half-dollar?

Page 9: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

@mikewiernicki

Page 10: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Estimate

Too LowEstimate

Too HighEstimate

Page 11: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

What information do you need?

Source: United States Mint

Page 12: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Page 13: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Break

Page 14: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Game Time!

Page 15: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Lunch!

Page 16: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Page 17: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Sources for Problems Worth Solving

Open Middle

Desmos

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

Page 18: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

The Ins and Outs of Desmos

teacher.desmos.com

student.desmos.com

Page 19: Problem Based Learning Conceptual Understanding€¦ · 14/11/2017  · @mikewiernicki Music: John Williams Problem Based Learning & Conceptual Understanding Whitfield County Schools

http://mikewiernicki.com @mikewiernicki

Presentation Resources:

http://mikewiernicki.com/whitfield-math-games-problem-solving