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Making Math Student Centred
Through Inquiry-Based
Interactive Tasks
tapintoteenminds.com/OTF
Ontario Teachers’ Federation
CONNECT
@MathletePearcewww.tapintoteenminds.com
playkh.complaykh.comGo to:
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Tap
TEACHER
VIEW
@MathletePearcewww.tapintoteenminds.com
Tap
TEACHER
VIEW
@MathletePearcewww.tapintoteenminds.com
TapTEACHER
VIEW
@MathletePearcewww.tapintoteenminds.com
Tap, then wait.
STU
D
EN
T
VIEW
@MathletePearcewww.tapintoteenminds.com
Tap
STU
D
EN
T
VIEW
@MathletePearcewww.tapintoteenminds.com
ABOUT ME
Belle River, ON
Math Teacher /
Instructional Coach
Apple Distinguished
Educator
Apple Education Trainer
@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
4. Homework
3. Examples
2. Definitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Math
Not
Good at
Math
@MathletePearcewww.tapintoteenminds.com
Good at
Math
Not
Good at
Math
What are some
characteristics of a
student who is
“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
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
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
“He’s Crazy”
@MathletePearcewww.tapintoteenminds.com
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/
youtu.be/-9wq2WAH-Qk
entertainment
engagement
=
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
algorithm
@MathletePearcewww.tapintoteenminds.com
youtu.be/xbuR-Lwu8vQ
what’s
this?
@MathletePearcewww.tapintoteenminds.com
@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
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
@MathletePearce www.tapintoteenminds.com @JustinLevack
kylep.ca/candyact1
@MathletePearcewww.tapintoteenminds.com
WHAT’S THE QUESTION?
@MathletePearcewww.tapintoteenminds.com
IF SHARING AMONGST 4 PEOPLE EVENLY,
HOW MANY CHOCOLATES SHOULD EACH GET?
@MathletePearcewww.tapintoteenminds.com
IF SHARING AMONGST 4 PEOPLE EVENLY,
HOW MANY CHOCOLATES SHOULD EACH GET?
MAKE A PREDICTION!
@MathletePearcewww.tapintoteenminds.com
kylep.ca/candyact2
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?
@MathletePearcewww.tapintoteenminds.com
kylep.ca/candyact3
@MathletePearcewww.tapintoteenminds.com
SEQUEL
kylep.ca/candysequel1
@MathletePearcewww.tapintoteenminds.com
HOW MANY OF EACH
COLOUR ARE THERE?
@MathletePearcewww.tapintoteenminds.com
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
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
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@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
22
Pink
22
Blue
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
TASKS
CONNECTIONS
VISION
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
TASKS
INQUIRY
CONNECTIONS
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
TASKS
CONNECTIONS
INQUIRYCONSOLIDATE
3 Act Math Tasks
iTunes U
kylep.ca/curiousmath1p
@MathletePearcewww.tapintoteenminds.com
iTunes U
@MathletePearcewww.tapintoteenminds.com
kylep.ca/stackingcourse
Stacking Paper Tasks
iBooks
@MathletePearcewww.tapintoteenminds.com
iBooks Author
@MathletePearcewww.tapintoteenminds.com
iBooks Author
kylep.ca/stackingbook
iBooks
Interconnected
Visual and Concrete
Contextual
MATH
TASKS
CONNECTIONS
INQUIRYCONSOLIDATE
@MathletePearcekylep.ca/curiousmath1p
Making Math Student Centred Through
Inquiry-Based Interactive Tasks
tapintoteenminds.com/OTF
kylep.ca/curiousmath1p
iTunes U
khmath.com
@MathletePearcewww.tapintoteenminds.com

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