Making Math Contextual,
Visual, and Concrete
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Making Math
Contextual, Visual,
and Concrete
@MathletePearcewww.tapintoteenminds.com
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PROBLEM
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ENGAGED YET?
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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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Math Class
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Math
Class
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4. Homework
3. Examples
2. Definitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class
Example 1
(a) List all combinations of three out of
the four colours: red, blue, white, and
green.
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Two Groups of
Students
Result
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Two Groups of Students
Good at
Math
Not
Good at
Math
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Two Groups of Students
Good at
Memorization
Not Good at
Memorization
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Two Groups of Students
Good at
Memorization
Not Good at
Memorization
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems
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A VISION FOR
MATHEMATICS
EDUCATION
VISION
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Interconnected
Visual and Concrete
Contextual
VISION
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Interconnected
Visual and Concrete
Contextual
CONFIDENCE
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Interconnected
Visual and Concrete
Contextual
PERCEPTION
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Interconnected
Visual and Concrete
Contextual
STUDENT
SUCCESS
Change
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Change
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Immune to
http://www.vancouversun.com/life/From+geek+chic/6296707/story.html
Photograph by: Maggie Wong
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@MathletePearcewww.tapintoteenminds.com https://mathstrategies.wordpress.com/tag/numb3rs/
http://www.wykamath.com/
entertainment
engagement
=
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algorithm
what’s
this?
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algorithm
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algorithms
engagement
=
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algorithms
engagement
=
understanding
or
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LEARNING
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NEWOLD
PROGRESSIVETRADITIONAL
ACTIVITYLECTURE
INQUIRY BASEDDIRECT INSTRUCTION
TECHNOLOGYPEN & PAPER
MATH WARS
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BALANCE
NEWOLD
PROGRESSIVETRADITIONAL
ACTIVITYLECTURE
INQUIRY BASEDDIRECT INSTRUCTION
TECHNOLOGYPEN & PAPER
@MathletePearcewww.tapintoteenminds.com
BALANCE
NEW
OLD
PROGRESSIVE
TRADITIONAL
ACTIVITY
LECTURE
INQUIRY BASED
DIRECT INSTRUCTION
TECHNOLOGY
PEN & PAPER
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@MathletePearcewww.tapintoteenminds.com
“Which math apps
should I use?”
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EVERGREEN
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GoodNotes 4
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Google Drive
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Explain
Everything
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Endless 123
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Zorbit’s Math
Adventure
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Questimate!
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Knowledgehook
Gameshow
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Effective Teaching
Practice
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Transformational
Technology Use
Effective Teaching Practice
BEFORE
iTunes U
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iTunes U
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2x - 4 = 8Solve for x:
+ 4 + 4
2x = 12
2 2
x = 6
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GAMIFICATION
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0
0
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0
0
@MathletePearcewww.tapintoteenminds.com
0
0
-
+
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0
0
-
+
@MathletePearcewww.tapintoteenminds.com
0
0
-
+
-
+
@MathletePearcewww.tapintoteenminds.com
0
0
0
0
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0
0
0 = 0
xx
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0
0
x
0 = 0x+
-aa-
a
-
+
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0
0
x
-a
+a
= 00 x a a+ -
b
b
+
-
+
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0
0
x
-a
+a
-b
+b
=0 x a a+ - + 0 b b+ -
c
d
+
+
@MathletePearcewww.tapintoteenminds.com
0
0
-a
+a
-b
+b
x
+c
+d
0 x a a = 0 b b c d+ - + + - + +
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0
0
-a
+a
-b
+b
x
+c
+d
0 x a a = 0 b b c d+ - + + - + +
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-a
+a
-b
+b
x
x a a = b b c d- + - + +
+c
+d
+0 +
+c
+d
@MathletePearcewww.tapintoteenminds.com
-a+a
-b
+b
x
x aa = b b c d-+ - + +
0
0
+c
+d
@MathletePearcewww.tapintoteenminds.com
-a+a
-b+b
x
x aa = bb c d-+ - + +
0
0
0
0
+c
+d
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x
xaa = bbc d- - ++0 0
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x = bbc d+
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Interconnected
Visual and Concrete
Contextual
VISION
QUESTIONS
@gfletchygfletchy.com
How many cookies did
Cookie Monster eat?
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PREDICTIONS
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3 Act Math Tasks
iTunes U
kylep.ca/curiousmath1p
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MAKE A PREDICTION!
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GAMESHOW
playkh.comGo to:
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GAMESHOW
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Two Groups of Students
Struggle with
unfamiliar
problems
Good at
Math
Not Good
at Math
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Two Groups of Students
Good at
Math
Not Good
at Math
Struggle with
unfamiliar
problems
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“He’s Crazy”
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thing.every
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thing.every
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one thing.
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step.one
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one vision.
thing.
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one
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AMAZING
thing .s
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BIGGERand
better
?
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thing
NEXT
what will be your
AMAZING
Making Math Contextual,
Visual, and Concrete
@MathletePearcewww.tapintoteenminds.com
Making Math Contextual,
Visual, and Concrete
tapintoteenminds.com/it4sl
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Integrating Technology for Student Learning IT Summit Keynote - Making Math Contextual, Visual and Concrete