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Making Math Student Centred Through Inquiry-Based Interactive Tasks tapintoteenminds.com/OTF Ontario Teachers’ Federation CONNECT

OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

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Page 1: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

Making Math Student Centred Through Inquiry-Based

Interactive Taskstapintoteenminds.com/OTF

Ontario Teachers’ Federation

CONNECT

Page 2: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

playkh.complaykh.comGo to:

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

TapTEACHERVIEW

Page 5: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

TapTEACHERVIEW

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@MathletePearcewww.tapintoteenminds.com

TapTEACHERVIEW

STUDEN

T

Page 7: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Tap, then wait.

STUDEN

T

VIEW

Page 8: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Tap

STUDEN

T

VIEW

Page 9: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Page 10: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

ABOUT ME

Belle River, ONMath Teacher / Instructional CoachApple Distinguished EducatorApple Education Trainer

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

PROBLEM

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@MathletePearcewww.tapintoteenminds.com

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Page 14: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

ENGAGED YET?

@MathletePearcewww.tapintoteenminds.com

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ENGAGED YET?

@MathletePearcewww.tapintoteenminds.com

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@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.

Page 18: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

4. Homework

3. Examples

2. Definitions, Formulae, Procedures/Algorithms

1. Take Up Homework

Math Class

Page 19: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

Page 20: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Good atMath

NotGood at

Math

What are some characteristics of a

student who is “good at math?”

Page 21: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Not

Good at Memorization

Not Good at Memorization

Page 22: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good at Memorization

Not Good at Memorization

Page 23: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good at Memorization

Not Good at Memorization

Struggle withunfamiliarproblems

Page 24: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

A VISION FOR MATHEMATICS

EDUCATION

VISION

Page 25: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Contextual

VISION

Page 26: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Visual and ConcreteContextual

VISION

Page 27: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

Page 28: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

CONFIDENCE

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@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

PERCEPTION

Page 30: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

STUDENT SUCCESS

“He’s Crazy”

Page 31: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

“He’s Crazy”

@MathletePearcewww.tapintoteenminds.com

Page 32: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

Change

@MathletePearcewww.tapintoteenminds.com

Page 33: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

Change

@MathletePearcewww.tapintoteenminds.com

Immune to

Page 34: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

http://www.vancouversun.com/life/From+geek+chic/6296707/story.htmlPhotograph by: Maggie Wong

@MathletePearcewww.tapintoteenminds.com

Page 35: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com https://mathstrategies.wordpress.com/tag/numb3rs/

Page 36: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

http://www.wykamath.com/

youtu.be/-9wq2WAH-Qk

Page 37: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

entertainment

engagement=

@MathletePearcewww.tapintoteenminds.com

Page 38: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

algorithm

Page 39: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

youtu.be/xbuR-Lwu8vQ

Page 40: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks
Page 41: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

what’sthis?

Page 42: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Page 43: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

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@MathletePearcewww.tapintoteenminds.com

Page 47: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

algorithms

[email protected]

Page 48: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

algorithms

engagement=

@MathletePearcewww.tapintoteenminds.com

Page 49: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

algorithms

engagement=

understandingor

@MathletePearcewww.tapintoteenminds.com

Page 50: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

Page 51: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Page 52: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearce www.tapintoteenminds.com @JustinLevack

kylep.ca/candyact1

Page 53: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

WHAT’S THE QUESTION?

Page 54: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

IF SHARING AMONGST 4 PEOPLE EVENLY,HOW MANY CHOCOLATES SHOULD EACH GET?

MAKE A PREDICTION!

Page 55: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

IF SHARING AMONGST 4 PEOPLE EVENLY,HOW MANY CHOCOLATES SHOULD EACH GET?

MAKE A PREDICTION!

Page 56: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

kylep.ca/candyact2

Page 57: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

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?

Page 58: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

SEQUEL

kylep.ca/candyact3

Page 59: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.comSEQUEL

kylep.ca/candysequel1

Page 60: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

SEQUEL

HOW MANY OF EACH

COLOUR ARE THERE?

Page 61: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

35 Blue and Purple

44 Blue and Pink

57 Total

EXEMPLARS

Page 62: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com

A

B

short way

long

way

Page 63: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com

Page 64: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com

Page 65: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com

Page 66: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com

Understand how to get there the long way before taking shortcuts.

Page 67: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 68: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 69: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 70: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 71: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 72: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 73: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 74: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 75: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 76: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 77: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 78: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

EXEMPLARS

35 Blue and Purple

44 Blue and Pink

57 Total

Page 79: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com

Understand how to get there the long way before taking shortcuts.

Page 80: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com

Introduce concepts with intuition first, then algebra only once students have gained understanding & confidence.

Page 81: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

13 Purple

57 Chocolates Total

22Pink

22Blue

Page 82: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

Page 83: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextualTASKS

CONNECTIONS

VISION

Page 84: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

VISION

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextualTASKS

INQUIRY

CONNECTIONS

Page 85: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

VISION

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextualTASKS

CONNECTIONS

INQUIRYCONSOLIDATE

Page 86: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

3 Act Math Tasks

iTunes U

kylep.ca/[email protected]

Page 87: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

iTunes U

@MathletePearcewww.tapintoteenminds.com

kylep.ca/stackingcourse

Stacking Paper Tasks

Page 88: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

iBooks

@MathletePearcewww.tapintoteenminds.com

iBooks Author

Page 89: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

@MathletePearcewww.tapintoteenminds.com

iBooks Author

kylep.ca/stackingbook

iBooks

Page 90: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

Interconnected

Visual and ConcreteContextual

MATH

TASKS

CONNECTIONS

INQUIRYCONSOLIDATE

@MathletePearcekylep.ca/curiousmath1p

Page 91: OTF Connect Webinar - Making Math Student Centred Through Inquiry-Based Interactive Tasks

Making Math Student Centred Through Inquiry-Based Interactive Tasks

tapintoteenminds.com/OTF

kylep.ca/curiousmath1piTunes U

[email protected]