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Making Math Student Centred Through Inquiry-Based
Interactive Taskstapintoteenminds.com/OTF
Ontario Teachers’ Federation
CONNECT
@MathletePearcewww.tapintoteenminds.com
playkh.complaykh.comGo to:
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
TapTEACHERVIEW
@MathletePearcewww.tapintoteenminds.com
TapTEACHERVIEW
@MathletePearcewww.tapintoteenminds.com
TapTEACHERVIEW
STUDEN
T
@MathletePearcewww.tapintoteenminds.com
Tap, then wait.
STUDEN
T
VIEW
@MathletePearcewww.tapintoteenminds.com
Tap
STUDEN
T
VIEW
@MathletePearcewww.tapintoteenminds.com
ABOUT ME
Belle River, ONMath Teacher / Instructional CoachApple Distinguished EducatorApple Education Trainer
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
PROBLEM
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ENGAGED YET?
@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
4. Homework
3. Examples
2. Definitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good atMath
NotGood at
Math
@MathletePearcewww.tapintoteenminds.com
Good atMath
NotGood at
Math
What are some characteristics of a
student who is “good at math?”
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Not
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 withunfamiliarproblems
@MathletePearcewww.tapintoteenminds.com
A VISION FOR MATHEMATICS
EDUCATION
VISION
@MathletePearcewww.tapintoteenminds.com
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Visual and ConcreteContextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
CONFIDENCE
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
PERCEPTION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
STUDENT SUCCESS
“He’s Crazy”
“He’s Crazy”
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Change
@MathletePearcewww.tapintoteenminds.com
Change
@MathletePearcewww.tapintoteenminds.com
Immune to
http://www.vancouversun.com/life/From+geek+chic/6296707/story.htmlPhotograph by: Maggie Wong
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com https://mathstrategies.wordpress.com/tag/numb3rs/
entertainment
engagement=
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@MathletePearcewww.tapintoteenminds.com
algorithm
what’sthis?
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
algorithms
algorithms
engagement=
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algorithms
engagement=
understandingor
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@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
VISION
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@MathletePearcewww.tapintoteenminds.com
WHAT’S THE QUESTION?
@MathletePearcewww.tapintoteenminds.com
IF SHARING AMONGST 4 PEOPLE EVENLY,HOW MANY CHOCOLATES SHOULD EACH GET?
MAKE A PREDICTION!
@MathletePearcewww.tapintoteenminds.com
IF SHARING AMONGST 4 PEOPLE EVENLY,HOW MANY CHOCOLATES SHOULD EACH GET?
MAKE A PREDICTION!
MAKE A PREDICTION!
Total Divided Evenly Into 3 Groups:
Two groups have a total
of 38 candies
IF SHARING AMONGST 4 PEOPLE EVENLY,HOW MANY CHOCOLATES SHOULD EACH GET?
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SEQUEL
HOW MANY OF EACH
COLOUR ARE THERE?
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35 Blue and Purple
44 Blue and Pink
57 Total
EXEMPLARS
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A
B
short way
long
way
@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
Understand how to get there the long way before taking shortcuts.
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
Understand how to get there the long way before taking shortcuts.
@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
Introduce concepts with intuition first, then algebra only once students have gained understanding & confidence.
@MathletePearcewww.tapintoteenminds.com
13 Purple
57 Chocolates Total
22Pink
22Blue
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextualTASKS
CONNECTIONS
VISION
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextualTASKS
INQUIRY
CONNECTIONS
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextualTASKS
CONNECTIONS
INQUIRYCONSOLIDATE
iTunes U
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kylep.ca/stackingcourse
Stacking Paper Tasks
iBooks
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iBooks Author
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iBooks Author
kylep.ca/stackingbook
iBooks
Interconnected
Visual and ConcreteContextual
MATH
TASKS
CONNECTIONS
INQUIRYCONSOLIDATE
@MathletePearcekylep.ca/curiousmath1p
Making Math Student Centred Through Inquiry-Based Interactive Tasks
tapintoteenminds.com/OTF
kylep.ca/curiousmath1piTunes U