Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete

Making Math Contextual, Visual, and Concrete

@MathletePearcewww.tapintoteenminds.com

tapintoteenminds.com/prma

Making Math Contextual, Visual,

and Concretetapintoteenminds.com/prma

PROBLEM

ENGAGED YET?

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.

Class@MathletePearcewww.tapintoteenminds.com

Math Class

MathClass

1. Take Up Homework

Math Class

2. Definitions, Formulae, Procedures/Algorithms

1. Take Up Homework

Math Class

3. Examples

1. Take Up Homework

Math Class

4. Homework

3. Examples

1. Take Up Homework

Math Class

Example 1(a) List all combinations of three out of the four colours: red, blue, white, and green.

My Result:

Successfulin Math

Unsuccessfulin Math

A Perception Develops

Good atMath

Poor atMath

Confident in Math Class

Doubtful inMath Class

Students Feel…

EnjoyingMathematics

Disliking Mathematics

This May Lead To…

Willingnessto Engage InMath Class

Unwillingness to Engage In Math Class

This May Lead To…

Moving Ahead Falling Behind

This May Lead To…

Two Groups of Students

Good atMath

Poor atMath

Good at Math

Poor atMath

Good at Math

Poor atMath

Two Groups of StudentsStruggle with

unfamiliarproblems

Good at Math

Poor atMath

A VISION FOR MATHEMATICS

EDUCATION

VISION

Contextual

VISION

Visual and ConcreteContextual

VISION

Interconnected

VISION

Interconnected

CONFIDENCE

Interconnected

PERCEPTION

Interconnected

STUDENT SUCCESS

Change

Immune to

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

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

http://www.wykamath.com/

entertainment

engagement=

algorithm

what’sthis?

algorithm

engagement@MathletePearcewww.tapintoteenminds.com

algorithms

engagement@MathletePearcewww.tapintoteenminds.com

algorithms

engagement=

algorithms

engagement=

understandingor

playkh.complaykh.comGo to:

wiz623

Notice? Wonder?

How many packs of paper would it take to reach the ceiling?

4. Consolidate3. Connections

2. Inquiry

OUR FIRST QUESTION:

QUESTIONSPREDICTIONS

PREDICTIONS

wiz623

REQUEST INFORMATION

How many packs of paper will it take to reach a

height of 273 cm?

height

cm24.7

wiz623

QUESTION

Mr. Pearce stacks reams of paper vertically against a wall. If the height of 5 reams is 24.75 cm and the height of the room is

273 cm, how many reams of paper would he need to reach the ceiling?

Answer Key: 55.15

QUESTION

273 cm, how many reams of paper would he need to reach the ceiling?FUN, RIGHT?

Answer Key: 55.15QUESTION

273 cm, how many reams of paper would he need to reach the ceiling?

Answer Key: 55.15

Making Connections

height of 273 cm?

height 273

cm24.7

Friendly Numbers

Height

Friendly Numbers

25 cm25 cm

Height

Friendly Numbers

25 cm25 cm

Height

Friendly Numbers

25 cm25 cm

Height

25 cm25 cm

100 cm

Friendly Numbers

25 cm25 cm

Height

25 cm25 cm

200 cm

25 cm25 cm

Friendly Numbers100 cm

Height

300 cm

100 cm

Height

275 cm

100 cm

Height

275 cm

100 cm

Friendly Numbers“Array”

Friendly NumbersArea Model

Friendly Numbers

11 groupsArea Model

Friendly Numbers

11 groups

55 packs

Area Model

11 groups

Friendly Numbers

11 groups

55 packs

11 groups

55 packs

Area Model

Friendly Numbers

11 groups

55 packs

11 groups

55 packs

11 groups

Area ModelDouble

Friendly Numbers

11 groups

55 packs

11 groups

55 packs

11 groups

275 cm

Area ModelDouble

Friendly NumbersDouble Number Line

Number of Packs

Total Height

Number of Packs

Total Height

Number of Packs

Total Height

Number of Packs

Total Height

100 125

175 200

Number of Packs

Total Height

Number of Packs

Total Height

Number of Packs

Total Height

100 200

Number of Packs

Total Height

100 200

Number of Packs

Total Height

100 200

275275

Number of Packs

Total Height

Number of Packs

Total Height

?x27525

Number of Packs

Total Height

= 11111111

Number of Packs

Total Height

= 1111

Number of Packs

Total Height

= 11 11

Number of Packs

Total Height

= 1111

x11x = 5555

Number of Packs

Total Height

= 1111

x11x = 55

-Part Math Lesson

height of 273 cm?3. Connections

packs of paper

height 273

4.95 cm

-Part Math Lesson

height of 273 cm? 4. Consolidate3. Connections

packs of paper

height 273

4.95 cm

-Part Math Lesson

2. Inquirypacks of paper heightIndependent Dependent

4.95 cm

-Part Math Lesson

packs of paper heightIndependent Dependent

-Part Math Lesson

0 01 4.95

-Part Math Lesson

0 01 4.952 9.9

-Part Math Lesson

0 01 4.952 9.9

4 19.8

-Part Math Lesson

0 01 4.952 9.9

4 19.840 198

-Part Math Lesson

0 01 4.952 9.9

4 19.840 198

packs of paper height:

packs of paper

height

packs of paper

height24.75 cm

5 reams= =

24.75 cm

5 reams= =

273 cm

How Many?

5 reams= =

24.75 cm 273 cm

5 reams= =

24.75 cm 273 cm

5 reams= =

x24.75 cm

273 cm

5 reams= =

x24.75 cm

273 cm

24.75 cm

5 reams= =

273 cm

11.03x

24.75 cm

5 reams= =

273 cm

55.15 reams

x 11.03

VISIONVisual and Concrete

ContextualTASKS

Visual and ConcreteContextualTASKS

INQUIRYConstruct Conceptual

UnderstandingVISION

Connect to Prior Knowledge

CONNECTIONS

INQUIRYConstruct Conceptual

UnderstandingVISION

CONSOLIDATE INQUIRYMove Towards

Procedural Fluency

Connect to Prior Knowledge

CONNECTIONS

Construct Conceptual Understanding

VISION

3 Act Math Tasks

iTunes U

kylep.ca/curiousmath1p@MathletePearcewww.tapintoteenminds.com

kylep.ca/curiousmath1p

iTunes U

TapFollow the Math

Twitter Blogosphere

3 Act Math Taskstapintoteenminds.com/3act-math

fishing4tech.com/mtbos.html

The CN Tower has a height of 553 m and your stack of 5 packages of paper have a height of approximately 0.25 m.

Approximately how many packages of paper would you need to stack up to the height of the CN Tower?

wiz623

Making Math Contextual, Visual, and Concrete

tapintoteenminds.com/prma

Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete

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Transcript of Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete

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