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Making Math Contextual,
Visual, and Concrete
@MathletePearcewww.tapintoteenminds.com
Making Math
Contextual, Visual,
and Concrete
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
PROBLEM
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
ENGAGED YET?
@MathletePearcewww.tapintoteenminds.com
@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.
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Math Class
@MathletePearcewww.tapintoteenminds.com
Math
Class
@MathletePearcewww.tapintoteenminds.com
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.
@MathletePearcewww.tapintoteenminds.com
Two Groups of
Students
Result
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Math
Not
Good at
Math
@MathletePearcewww.tapintoteenminds.com
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
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems
@MathletePearcewww.tapintoteenminds.com
A VISION FOR
MATHEMATICS
EDUCATION
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
CONFIDENCE
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
PERCEPTION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
STUDENT
SUCCESS
Change
@MathletePearcewww.tapintoteenminds.com
Change
@MathletePearcewww.tapintoteenminds.com
Immune to
http://www.vancouversun.com/life/From+geek+chic/6296707/story.html
Photograph by: Maggie Wong
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com https://mathstrategies.wordpress.com/tag/numb3rs/
http://www.wykamath.com/
entertainment
engagement
=
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
algorithm
what’s
this?
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
algorithm
@MathletePearcewww.tapintoteenminds.com
algorithms
engagement
=
@MathletePearcewww.tapintoteenminds.com
algorithms
engagement
=
understanding
or
@MathletePearcewww.tapintoteenminds.com
LEARNING
@MathletePearcewww.tapintoteenminds.com
NEWOLD
PROGRESSIVETRADITIONAL
ACTIVITYLECTURE
INQUIRY BASEDDIRECT INSTRUCTION
TECHNOLOGYPEN & PAPER
MATH WARS
@MathletePearcewww.tapintoteenminds.com
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
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
“Which math apps
should I use?”
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
EVERGREEN
@MathletePearcewww.tapintoteenminds.com
GoodNotes 4
@MathletePearcewww.tapintoteenminds.com
Google Drive
@MathletePearcewww.tapintoteenminds.com
Explain
Everything
@MathletePearcewww.tapintoteenminds.com
Endless 123
@MathletePearcewww.tapintoteenminds.com
Zorbit’s Math
Adventure
@MathletePearcewww.tapintoteenminds.com
Questimate!
@MathletePearcewww.tapintoteenminds.com
Knowledgehook
Gameshow
@MathletePearcewww.tapintoteenminds.com
Effective Teaching
Practice
@MathletePearcewww.tapintoteenminds.com
Transformational
Technology Use
Effective Teaching Practice
BEFORE
iTunes U
@MathletePearcewww.tapintoteenminds.com
iTunes U
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
2x - 4 = 8Solve for x:
+ 4 + 4
2x = 12
2 2
x = 6
@MathletePearcewww.tapintoteenminds.com
GAMIFICATION
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
0
0
@MathletePearcewww.tapintoteenminds.com
0
0
@MathletePearcewww.tapintoteenminds.com
0
0
-
+
@MathletePearcewww.tapintoteenminds.com
0
0
-
+
@MathletePearcewww.tapintoteenminds.com
0
0
-
+
-
+
@MathletePearcewww.tapintoteenminds.com
0
0
0
0
@MathletePearcewww.tapintoteenminds.com
0
0
0 = 0
xx
@MathletePearcewww.tapintoteenminds.com
0
0
x
0 = 0x+
-aa-
a
-
+
@MathletePearcewww.tapintoteenminds.com
0
0
x
-a
+a
= 00 x a a+ -
b
b
+
-
+
@MathletePearcewww.tapintoteenminds.com
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+ - + + - + +
@MathletePearcewww.tapintoteenminds.com
0
0
-a
+a
-b
+b
x
+c
+d
0 x a a = 0 b b c d+ - + + - + +
@MathletePearcewww.tapintoteenminds.com
-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
@MathletePearcewww.tapintoteenminds.com
x
xaa = bbc d- - ++0 0
@MathletePearcewww.tapintoteenminds.com
x = bbc d+
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
VISION
QUESTIONS
@gfletchygfletchy.com
How many cookies did
Cookie Monster eat?
@gfletchygfletchy.com
PREDICTIONS
@gfletchygfletchy.com
3 Act Math Tasks
iTunes U
kylep.ca/curiousmath1p
@MathletePearcewww.tapintoteenminds.com
MAKE A PREDICTION!
@MathletePearcewww.tapintoteenminds.com
GAMESHOW
playkh.comGo to:
@MathletePearcewww.tapintoteenminds.com
GAMESHOW
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Struggle with
unfamiliar
problems
Good at
Math
Not Good
at Math
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Math
Not Good
at Math
Struggle with
unfamiliar
problems
@MathletePearcewww.tapintoteenminds.com
“He’s Crazy”
@MathletePearcewww.tapintoteenminds.com
thing.every
@MathletePearcewww.tapintoteenminds.com
thing.every
@MathletePearcewww.tapintoteenminds.com
one thing.
@MathletePearcewww.tapintoteenminds.com
step.one
@MathletePearcewww.tapintoteenminds.com
one vision.
thing.
@MathletePearcewww.tapintoteenminds.com
one
@MathletePearcewww.tapintoteenminds.com
AMAZING
thing .s
@MathletePearcewww.tapintoteenminds.com
BIGGERand
better
?
@MathletePearcewww.tapintoteenminds.com
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
@MathletePearcewww.tapintoteenminds.com

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