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Making Math Contextual, Visual, and Concrete @MathletePearce www.tapintoteenminds.com
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Integrating Technology for Student Learning IT Summit Keynote - Making Math Contextual, Visual and Concrete

Apr 13, 2017

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Kyle Pearce
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Page 1: Integrating Technology for Student Learning IT Summit Keynote - Making Math Contextual, Visual and Concrete

Making Math Contextual, Visual, and Concrete

@MathletePearcewww.tapintoteenminds.com

Page 2: Integrating Technology for Student Learning IT Summit Keynote - Making Math Contextual, Visual and Concrete

Making Math Contextual, Visual,

and Concrete

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

PROBLEM

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@MathletePearcewww.tapintoteenminds.com

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ENGAGED YET?

@MathletePearcewww.tapintoteenminds.com

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ENGAGED YET?

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

ENGAGEMENT“There are several types/categories of engagement – academic, cognitive, intellectual, institutional, emotional, behavioural, social, psychological, to name a few.”

Parsons, J., & Taylor, L. (2011). Student Engagement: What do we know and what should we do? University Partners (pp 3). University of Alberta.

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@MathletePearcewww.tapintoteenminds.com

Math Class

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@MathletePearcewww.tapintoteenminds.com

MathClass

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@MathletePearcewww.tapintoteenminds.com

4. Homework

3. Examples

2. Definitions, Formulae, Procedures/Algorithms

1. Take Up Homework

Math Class

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Example 1(a) List all combinations of three out of the four colours: red, blue, white, and green.

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@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Result

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@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

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@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Not

Good at Memorization

Not Good at Memorization

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@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good at Memorization

Not Good at Memorization

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@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good at Memorization

Not Good at Memorization

Struggle withunfamiliarproblems

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@MathletePearcewww.tapintoteenminds.com

A VISION FOR MATHEMATICS

EDUCATION

VISION

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@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

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@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

CONFIDENCE

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@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

PERCEPTION

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@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

STUDENT SUCCESS

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Change

@MathletePearcewww.tapintoteenminds.com

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Change

@MathletePearcewww.tapintoteenminds.com

Immune to

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http://www.vancouversun.com/life/From+geek+chic/6296707/story.htmlPhotograph by: Maggie Wong

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com https://mathstrategies.wordpress.com/tag/numb3rs/

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http://www.wykamath.com/

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entertainment

engagement=

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

algorithm

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what’sthis?

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

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algorithms

[email protected]

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algorithms

engagement=

@MathletePearcewww.tapintoteenminds.com

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algorithms

engagement=

understandingor

@MathletePearcewww.tapintoteenminds.com

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LEARNING

@MathletePearcewww.tapintoteenminds.com

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NEWOLD

PROGRESSIVETRADITIONALACTIVITYLECTURE

INQUIRY BASEDDIRECT INSTRUCTION

TECHNOLOGYPEN & PAPER

MATH WARS

@MathletePearcewww.tapintoteenminds.com

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BALANCE

NEWOLD

PROGRESSIVETRADITIONALACTIVITYLECTURE

INQUIRY BASEDDIRECT INSTRUCTION

TECHNOLOGYPEN & [email protected]

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BALANCENEW

OLD

PROGRESSIVETRADITIONAL

ACTIVITYLECTURE

INQUIRY BASEDDIRECT INSTRUCTION

TECHNOLOGYPEN & PAPER

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

“Which math apps should I use?”

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

EVERGREEN

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@MathletePearcewww.tapintoteenminds.com

GoodNotes 4

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@MathletePearcewww.tapintoteenminds.com

Google Drive

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@MathletePearcewww.tapintoteenminds.com

Explain Everything

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@MathletePearcewww.tapintoteenminds.com

Endless 123

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@MathletePearcewww.tapintoteenminds.com

Zorbit’s Math Adventure

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@MathletePearcewww.tapintoteenminds.com

Questimate!

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@MathletePearcewww.tapintoteenminds.com

Knowledgehook Gameshow

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@MathletePearcewww.tapintoteenminds.com

Effective Teaching Practice

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@MathletePearcewww.tapintoteenminds.com

Transformational Technology Use

Effective Teaching Practice

BEFOREQUESTION

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iTunes U

@MathletePearcewww.tapintoteenminds.com

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iTunes U

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

2x - 4 = 8Solve for x:+ 4 + 4

2x = 122 2x = 6

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@MathletePearcewww.tapintoteenminds.com

GAMIFICATION

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@MathletePearcewww.tapintoteenminds.com

Making Connections

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

0

0

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@MathletePearcewww.tapintoteenminds.com

0

0

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@MathletePearcewww.tapintoteenminds.com

0

0-

+

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@MathletePearcewww.tapintoteenminds.com

0

0-

+

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@MathletePearcewww.tapintoteenminds.com

0

0-

+ -

+

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@MathletePearcewww.tapintoteenminds.com

0

0

0

0

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@MathletePearcewww.tapintoteenminds.com

0

0

0 = 0

xx

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@MathletePearcewww.tapintoteenminds.com

0

0

x

0 = 0x+

-aa-

a

-

+

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@MathletePearcewww.tapintoteenminds.com

0

0

x

-a

+a

= 00 x a a+ -

b

b

+

-

+

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@MathletePearcewww.tapintoteenminds.com

0

0

x

-a

+a-b

+b

=0 x a a+ - + 0 b b+ -

c

d

+

+

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@MathletePearcewww.tapintoteenminds.com

Making Connections

0

0-a

+a-b

+b

x

+c

+d

0 x a a = 0 b b c d+ - + + - + +

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@MathletePearcewww.tapintoteenminds.com

Making Connections

0

0-a

+a-b

+b

x

+c

+d

0 x a a = 0 b b c d+ - + + - + +

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@MathletePearcewww.tapintoteenminds.com

Making Connections-a

+a-b

+b

x

x a a = b b c d- + - + +

+c

+d

+0 +

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+c

+d

@MathletePearcewww.tapintoteenminds.com

Making Connections

-a+a-b

+b

x

x aa = b b c d-+ - + +

0

0

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+c

+d

@MathletePearcewww.tapintoteenminds.com

Making Connections

-a+a-b+b

x

x aa = bb c d-+ - + +

0

0

0

0

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+c

+d

@MathletePearcewww.tapintoteenminds.com

Making Connectionsx

xaa = bbc d- - ++0 0

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@MathletePearcewww.tapintoteenminds.com

Making Connections

x = bbc d+

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@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

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QUESTIONS

@gfletchygfletchy.com

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How many cookies did Cookie Monster eat?

@gfletchygfletchy.com

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PREDICTIONS

@gfletchygfletchy.com

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3 Act Math Tasks

iTunes U

kylep.ca/[email protected]

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MAKE A PREDICTION!

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@MathletePearcewww.tapintoteenminds.com

GAMESHOWplaykh.comGo to:

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@MathletePearcewww.tapintoteenminds.com

GAMESHOW

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@MathletePearcewww.tapintoteenminds.com

Two Groups of StudentsStruggle with

unfamiliarproblems

Good at Math

Not Good at Math

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@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good at Math

Not Good at Math

Struggle withunfamiliarproblems

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@MathletePearcewww.tapintoteenminds.com

“He’s Crazy”everyStruggle with

unfamiliarproblems

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@MathletePearcewww.tapintoteenminds.com

“He’s Crazy” thing.every

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@MathletePearcewww.tapintoteenminds.com

“He’s Crazy” thing.every

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@MathletePearcewww.tapintoteenminds.com

one thing.

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@MathletePearcewww.tapintoteenminds.com

step.one

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@MathletePearcewww.tapintoteenminds.com

one vision.

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thing.

@MathletePearcewww.tapintoteenminds.com

one

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@MathletePearcewww.tapintoteenminds.com

AMAZINGthing .s

NEXT

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@MathletePearcewww.tapintoteenminds.com

?

BIGGERand

better

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[email protected]

thingNEXT

what will be your

AMAZING

BIGGERbetter

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Making Math Contextual, Visual, and Concrete

@MathletePearcewww.tapintoteenminds.com

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Making Math Contextual, Visual, and Concretetapintoteenminds.com/it4sl

@MathletePearcewww.tapintoteenminds.com