edtechteacher ipad summit: boston slide deck

Making Math Contextual, Visual, and Concrete

@MathletePearce

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Get to thinking about our practice!

ABOUT ME

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

@MathletePearcewww.tapintoteenminds.com

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4. Homework

3. Examples

2. Definitions, Formulae, Procedures/Algorithms

1. Take Up Homework

Math Class

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

Two Groups of Students

Result

Good atMath

NotGood at

Good atMath

NotGood at

Know:terminology

procedures

Good at Memorization

Not Good at Memorization

Good at Memorization

Not Good at Memorization

Struggle withunfamiliarproblems

A VISION FOR MATHEMATICS

EDUCATION

VISION

Interconnected

Visual and ConcreteContextual

VISION

Interconnected

CONFIDENCE

Interconnected

PERCEPTION

Interconnected

STUDENT SUCCESS

“He’s Crazy”

Change

Immune toChange

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

entertainment

engagement=

algorithm

what’sthis?

algorithms

engagement

algorithm

engagement=

algorithm

understanding=

Interconnected

VISION

playkh.complaykh.comGo to:

Tap, then wait.

QUESTIONS

-Part Math Lesson

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

4. Consolidate3. Connections

2. InquiryOUR FIRST QUESTION:QUESTIONSPREDICTIONS

PREDICTIONS

REQUEST INFORMATION

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

4. Consolidate3. Connections 273

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?FUN, RIGHT?

Answer Key: 55.15QUESTION

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

Extensions

Interconnected

VISION

The Next Day…

How tall is the table?

4.95 cm130

4.95 cm

cm packs5 x = 24.75 cm

130.75 cm24.75 cm-

106 cm

-Part Math Lesson

4. Consolidate

Minds On

Inquiry2. -Part Math Lesson

Making Connections

x = 24.75 cm

130.75 cm 24.75 cm 106 cm= +

5 = 24.75 cm

130.75 cm

24.75 cm

106 cm= +

height initial height of table= +

4.95 cm13

y b= +m x

number of packs

height of a pack )( )(

4.95 cm ( packs5 )( )

How tall is the table?13

packs of paper heightIndependent Dependent

5packs

130.755

4.95 cmSlope )x y(

How tall is the table?13

mpacks of

paper height

130.7554.95 cm

Slope )x y

y = mIn

5 packs

130.75130.75 =)(

130.75 = b+b+ b+

x55 )(

)(55)(4.95

54.9524.7524.75-24.75-

106 = b0 +

In the past…

4. Consolidate

ExampleConsolidation

Task #1:

Minds On

packs of paper heightIndependent Dependent

5packs

130.755( )x y4.95 cmSlope

2 1 51 513

Minds On

packs of paper heightIndependent Dependentpacks

( )x ySlope

2 1 51 51

What does the point (1, 5) represent in the context of the Stacking Paper task?

( )x ySlope

2 1 51 51

What does the slope of 2 represent in the context of the Stacking Paper task?

( )x ySlope

2 1 51 51

( )x y

2 1 51 51

1y = +b()5 2-2-22

3y = 2x + 3

Two Groups of StudentsStruggle with

unfamiliarproblems

Good at Math

Not Good at Math

Good at Math

Not Good at Math

Struggle withunfamiliarproblems

Struggle withunfamiliarproblemsDigging Deeper…

142.75 100.75

s12 packs 5 packs-

7 packs7

1 packs

= 6 cmSlope m,

100.75

= 6 cmSlope m,packs of

paper height

5 )x y

y b= +mx100.75 6100.75 = )( )( 5 b+

5100.75 6100.75 = b+3030-30-

70.75 = b0 +

142.75100.75

packs of paper height

)( ,packs of

paper height

)x1 y1

142.75100.75 12

POINT 1 POINT 2

x2 y2142.75100.75

142.75 100.75- 42 cm

12 packs 5 packs- 7 packs

Slope m, =

= ==6 cm

1 packs==

142.75100.75

)( ,)x1 y1

142.75100.75 12

POINT 1 POINT 2

x2 y2142.75100.75

Slope m, = 6 cm

y b= +mx b+NOW, SUBSTITUTE

SLOPE (m) and EITHER POINT TO FIND INITIAL VALUE/Y-INTERCEPT!

142.75100.75 )( ,)x1 y1

142.75100.75 12

POINT 1 POINT 2

x2 y2142.75100.75

Slope m, = 6 cm

y b= +mx b+

b12142.75 = 6 )( )( b+

12142.75 = 6 b+7272-72-

70.75 = b0 +

142.75100.75 )( ,)x1 y1

142.75100.75 12

POINT 1 POINT 2

x2 y2142.75100.75

Slope m, = 6 cm

y b= +mx b+b 70.75b6

Therefore, the equation of the line is:

Interconnected

Visual and ConcreteContextualTASKS

CONNECTIONS

Interconnected

INQUIRY

CONNECTIONS

Interconnected

CONNECTIONS

INQUIRYCONSOLIDATE

iBooks

iBooks Author

Available on iTunes and…

iBooks

3 Act Math Tasks

iTunes U

kylep.ca/curiousmath1p@MathletePearcewww.tapintoteenminds.com

kylep.ca/curiousmath1p

iTunes U

TapFollow the Math

Twitter Blogosphere

Interconnected

CONNECTIONS

INQUIRYCONSOLIDATE

@MathletePearcekylep.ca/curiousmath1p

“He’s Crazy”every

“He’s Crazy” thing.every

one thing.

step.one

one vision.

thing.

AMAZINGthing .s

BIGGERand

better

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thingNEXT

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AMAZING

BIGGERbetter

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