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Making Math Contextual, Visual, and Concrete
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Making Math Contextual, Visual,
and Concrete
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PROBLEM
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ENGAGED YET?
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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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MathClass
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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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Two Groups of Students
Result
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Two Groups of Students
Good atMath
NotGood at
Math
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Two Groups of Students
Not
Good at Memorization
Not Good at Memorization
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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
Struggle withunfamiliarproblems
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A VISION FOR MATHEMATICS
EDUCATION
VISION
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Interconnected
Visual and ConcreteContextual
VISION
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Interconnected
Visual and ConcreteContextual
CONFIDENCE
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Interconnected
Visual and ConcreteContextual
PERCEPTION
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Interconnected
Visual and ConcreteContextual
STUDENT SUCCESS
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Change
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Change
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Immune to
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http://www.vancouversun.com/life/From+geek+chic/6296707/story.htmlPhotograph by: Maggie Wong
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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=
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algorithm
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algorithms
[email protected]
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algorithms
engagement=
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algorithms
engagement=
understandingor
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LEARNING
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NEWOLD
PROGRESSIVETRADITIONALACTIVITYLECTURE
INQUIRY BASEDDIRECT INSTRUCTION
TECHNOLOGYPEN & PAPER
MATH WARS
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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
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“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
BEFOREQUESTION
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iTunes U
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iTunes U
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2x - 4 = 8Solve for x:+ 4 + 4
2x = 122 2x = 6
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GAMIFICATION
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Making Connections
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0
0
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0
0
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0
0-
+
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0
0-
+
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0
0-
+ -
+
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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
+
+
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Making Connections
0
0-a
+a-b
+b
x
+c
+d
0 x a a = 0 b b c d+ - + + - + +
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Making Connections
0
0-a
+a-b
+b
x
+c
+d
0 x a a = 0 b b c d+ - + + - + +
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Making Connections-a
+a-b
+b
x
x a a = b b c d- + - + +
+c
+d
+0 +
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+c
+d
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Making Connections
-a+a-b
+b
x
x aa = b b c d-+ - + +
0
0
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+c
+d
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Making Connections
-a+a-b+b
x
x aa = bb c d-+ - + +
0
0
0
0
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+c
+d
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Making Connectionsx
xaa = bbc d- - ++0 0
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Making Connections
x = bbc d+
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Interconnected
Visual and ConcreteContextual
VISION
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QUESTIONS
@gfletchygfletchy.com
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How many cookies did Cookie Monster eat?
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PREDICTIONS
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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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GAMESHOWplaykh.comGo to:
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GAMESHOW
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Two Groups of StudentsStruggle with
unfamiliarproblems
Good at Math
Not Good at Math
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Two Groups of Students
Good at Math
Not Good at Math
Struggle withunfamiliarproblems
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“He’s Crazy”everyStruggle with
unfamiliarproblems
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“He’s Crazy” thing.every
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“He’s Crazy” thing.every
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one thing.
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step.one
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one vision.
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thing.
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one
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AMAZINGthing .s
NEXT
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?
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
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Making Math Contextual, Visual, and Concretetapintoteenminds.com/it4sl
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