otf connect webinar - working with two variable relationships

Working With Two Variable Relationships

tapintoteenminds.com/OTF

Ontario Teachers’ Federation

CONNECT

https://tapintoteenminds.com/OTF

@MathletePearcewww.tapintoteenminds.com

cognitive, intellectual, institutional, emotional, behavioral, BUZZWORDS


ENGAGEMENT“There are several types/categories of engagement – academic, cognitive, intellectual, institutional, emotional, behavioral, 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.


ENGAGED YET?


MATHPROBLEMS


4. Homework

3. Examples

2. Definitions, Formulae, Procedures/Algorithms

1. Take Up Homework

Math Class


The Four Stages of

Learning


The Four Stages of

Mastery


The Four Stages of Mastery

COMPETENCE

CO

NS

CIO

US

NE

SS



Learning journey begins at the origin

(0, 0)

COMPETENCE

CO

NS

CIO

US

NE

SS


The Four Stages of MasteryLearning journey

begins at the origin(0, 0)

Competence

COMPETENCE

CO

NS

CIO

US

NE

SS

Consciousness

Unconsciously Incompetent



COMPETENCE

CO

NS

CIO

US

NE

SS

“I don’t know what I don’t know.”



Count how many candies there are.


COMPETENCE

CO

NS

CIO

US

NE

SS



1



COMPETENCE

CO

NS

CIO

US

NE

SS



1


Student Might Be Thinking:

“I’ll count the candies.”




“I’ll count the candies.”


COMPETENCE

CO

NS

CIO

US

NE

SS



1

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20 21Answer & Justification:

“I counted each candy and there are 21 total.”



COMPETENCE

CO

NS

CIO

US

NE

SS

1

2 Consciously Incompetent

“I know what I don’t know.”



COMPETENCE

CO

NS

CIO

US

NE

SS

1





“I know I’m supposed to multiply, but I’m not sure how.”



COMPETENCE

CO

NS

CIO

US

NE

SS

1





“I know I’m supposed to multiply, but I’m not sure how.”

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20 21Answer & Justification:

“I counted each candy and there are 21 total.”



COMPETENCE

CO

NS

CIO

US

NE

SS

1

2 3 Consciously Competent

“I grow and I know; it starts to show.”



COMPETENCE

CO

NS

CIO

US

NE

SS

1

2 3

Consciously Competent




Answer & Justification:

“I see 7 groups of 3 candies.”



COMPETENCE

CO

NS

CIO

US

NE

SS

1

2 3







“I added 3 candies, 7 times. There are 21 total candies.”

3 6 9 12 15 18 21



COMPETENCE

CO

NS

CIO

US

NE

SS

1

2 3







“I added 7 candies, 3 times. There are 21 total candies.”

71421



COMPETENCE

CO

NS

CIO

US

NE

SS

1

2 3

4

Unconsciously Competent

“I simply go because of what I know.”




“There are 3 groups of 7 candies.”


“There are 21 candies because 7 times 3 is 21.


COMPETENCE

CO

NS

CIO

US

NE

SS

1

2 3

4


“I simply go because of what I know.”

7

3


Four Stages of

Mastery

COMPETENCE

CO

NS

CIO

US

NE

SS

2 3

4


Consciously Incompetent

1Unconsciously Incompetent




The Four Stages of

Mastery

COMPETENCEC

ON

SC

IOU

SN

ES

S

1

2 3

4Unconsciously Competent


Unconsciously Incompetent1

2

3

4

Interconnected

Visual and ConcreteContextual

VISION


Interconnected

VISION


Visual and ConcreteContextualTASKS


VISION


INQUIRYConstruct Conceptual

Understanding

Interconnected

Connect to Prior Knowledge


CONNECTIONS

VISION


INQUIRYConstruct Conceptual

Understanding


CONSOLIDATE VISION


INQUIRYMove Towards

Procedural Fluency


CONNECTIONS

Construct Conceptual Understanding

3 Act Math Tasks

iTunes U

kylep.ca/[email protected]

3 Act Math Tasks

tapintoteenminds.com/[email protected]

On The Web

http://tapintoteenminds.com/3act-math


playkh.complaykh.comGo to:

http://playkh.com

http://playkh.com


wiz623


Tap

wiz623


Tap, then wait.

wiz623


Tap

wiz623

“Walk Out”

tapintoteenminds.com/3act-math/walk-out/


http://tapintoteenminds.com/3act-math/walk-out/


wiz623

“Candle's Burning”

tapintoteenminds.com/3act-math/candles-burning/


http://tapintoteenminds.com/3act-math/candles-burning/

“Draining the Pool”

tapintoteenminds.com/draining-the-pool/


http://tapintoteenminds.com/draining-the-pool/



The Four Stages of

Mastery

COMPETENCEC

ON

SC

IOU

SN

ES

S

1

2 3

4Unconsciously Competent


Unconsciously Incompetent1

2

3

4


CONSOLIDATE VISION


INQUIRYMove Towards

Procedural Fluency


CONNECTIONS

Construct Conceptual Understanding

Working With Two Variable Relationships

tapintoteenminds.com/OTF

Ontario Teachers’ Federation

CONNECT

https://tapintoteenminds.com/OTF

otf connect webinar - working with two variable relationships

Education