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Using iTunes U in Mathematics @MathletePearce www.tapintoteenminds.com Kyle Pearce tapintoteenminds.com/princealbert

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Using iTunes Uin Mathematics

@MathletePearce

www.tapintoteenminds.com

Kyle Pearce

tapintoteenminds.com/princealbert

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

EffectiveInstructional Practice

EmbeddingTechnology

SAMR Model Progression

MYCI

@MathletePearcewww.tapintoteenminds.com

SAMR Model Progression

EffectiveInstructional Practice

EmbeddingTechnology

@MathletePearcewww.tapintoteenminds.com

Embedding

@MathletePearcewww.tapintoteenminds.com

STUDENT LEARNING

NEEDS

ABOUT MEWindsor, ONMath Teacher / Math CoachApple Distinguished EducatorApple Authorized TrainerGoogle Certified Teacher

@MathletePearcewww.tapintoteenminds.com

WHERE

@MathletePearcewww.tapintoteenminds.com

[email protected]

Class

@MathletePearcewww.tapintoteenminds.com

Math Class

1. Take Up Homework

@MathletePearcewww.tapintoteenminds.com

Math Class

@MathletePearcewww.tapintoteenminds.com

2. Definitions, Formulae, Procedures/Algorithms

1. Take Up Homework

Math Class

@MathletePearcewww.tapintoteenminds.com

3. Examples

2. Definitions, Formulae, Procedures/Algorithms

1. Take Up Homework

Math Class

@MathletePearcewww.tapintoteenminds.com

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.

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

(b) Considering the colour combinations as arrangements with indistinguishable elements, check the number of combinations of three out of four items.

@MathletePearcewww.tapintoteenminds.com

Result

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Result

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

Know:

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

Know:terminology

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

Know:terminology

procedures

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

Know:terminology

procedures

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

Know: Know:terminology

procedures

terminology

procedures

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood at

Math

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

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

@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 withunfamiliarproblems

TEST QUESTION

@MathletePearcewww.tapintoteenminds.com

Struggle withunfamiliarproblems

TEST QUESTION

@MathletePearcewww.tapintoteenminds.com

=EXAMPLE

TEST QUESTION

@MathletePearcewww.tapintoteenminds.com

=EXAMPLEHOMEWORK

TEST QUESTION

@MathletePearcewww.tapintoteenminds.com

=EXAMPLEHOMEWORKTEXTBOOK

TEST QUESTION

@MathletePearcewww.tapintoteenminds.com

=EXAMPLETEXTBOOK

@MathletePearcewww.tapintoteenminds.com

EXAMPLEUNFAIR

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good atMath

NotGood 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

Struggle withunfamiliarproblems

Good at Memorization

Not Good at Memorization

Struggle withunfamiliarproblems

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

UNFAIR

@MathletePearcewww.tapintoteenminds.com

Good atMath

Kyle Pearce

@MathletePearcewww.tapintoteenminds.com

Good atMath Kyle Pearce

@MathletePearcewww.tapintoteenminds.com

Good atMath

NotGood at

Math

Kyle Pearce

@MathletePearcewww.tapintoteenminds.com

Good atMath

NotGood at

Math

Kyle Pearce

@MathletePearcewww.tapintoteenminds.com

New Knowledge

@MathletePearcewww.tapintoteenminds.com

New Knowledge

Prior Knowledge

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

MATH

@MathletePearcewww.tapintoteenminds.com

MATH

SILO1

SILO2

SILO3

SILO4

@MathletePearcewww.tapintoteenminds.com

MATHSILO

1SILO

2SILO

3SILO

4

@MathletePearcewww.tapintoteenminds.com

A VISION FOR MATHEMATICS

EDUCATION

VISION

@MathletePearcewww.tapintoteenminds.com

VISION

@MathletePearcewww.tapintoteenminds.com

Contextual

VISION

@MathletePearcewww.tapintoteenminds.com

Visual and ConcreteContextual

VISION

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

CONFIDENCE

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

PERCEPTION

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

STUDENT SUCCESS

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

iTunes U

@MathletePearcewww.tapintoteenminds.com

iTunes U iBooks Author

@MathletePearcewww.tapintoteenminds.com

iTunes U iBooks Author

@MathletePearcewww.tapintoteenminds.com

iTunes U iBooks Author

kylep.ca/pythagorean-itunesu

Workflow

@MathletePearcewww.tapintoteenminds.com

Workflow

@MathletePearcewww.tapintoteenminds.com

Workflow

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

“Which math apps should I use?”

@MathletePearcewww.tapintoteenminds.com

Student FeedbackAssessment

@MathletePearcewww.tapintoteenminds.com

EVERGREEN

@MathletePearcewww.tapintoteenminds.com

GoodNotes 4

@MathletePearcewww.tapintoteenminds.com

Google Drive

@MathletePearcewww.tapintoteenminds.com

Doceri

@MathletePearcewww.tapintoteenminds.com

Effective Teaching Practice

@MathletePearcewww.tapintoteenminds.com

Transformational Technology Use

Effective Teaching Practice

BEFOREQUESTION

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

“He’s Crazy”

@MathletePearcewww.tapintoteenminds.com

“He’s Crazy” TransformationEnhancement

@MathletePearcewww.tapintoteenminds.com

Transformation

Enhancement

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

“He’s Crazy” Enhancement

Transformation

@MathletePearcewww.tapintoteenminds.com

“He’s Crazy”

@MathletePearcewww.tapintoteenminds.com

\

Workflow

@MathletePearcewww.tapintoteenminds.com

Workflow

@MathletePearcewww.tapintoteenminds.com

GoodNotes 4

GoodNotes 4

@MathletePearcewww.tapintoteenminds.com

- Annotate PDFs

@MathletePearcewww.tapintoteenminds.com

- Annotate PDFsGoodNotes 4

Write With Ease

Zoom Tool

Zoom Box

@MathletePearcewww.tapintoteenminds.com

Saving Content

Cloud

Email

iTunes

@MathletePearcewww.tapintoteenminds.com

One-Way Sync

Auto-Magically!

@MathletePearcewww.tapintoteenminds.com

Cloud Shared Folders

@MathletePearcewww.tapintoteenminds.com

Accessible Anywhere

Smartphone

Computer

[email protected]

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

QUESTION

@MathletePearcewww.tapintoteenminds.com

QUESTIONS

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

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

4. Consolidate3. Connections

2. Inquiry

Stacking Paper

PREDICTIONS

@MathletePearcewww.tapintoteenminds.com

REQUEST INFORMATION

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

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

4. Consolidate3. Connections

2. Inquiry

Stacking Paper

273

cm

24.7

5 cm

ORIGINAL QUESTION

@MathletePearcewww.tapintoteenminds.com

ORIGINAL QUESTION

@MathletePearcewww.tapintoteenminds.com

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

ORIGINAL QUESTION

@MathletePearcewww.tapintoteenminds.com

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: 55.15

ORIGINAL QUESTION

@MathletePearcewww.tapintoteenminds.com

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

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?

ACT 1:

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

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?

ACT 1:

ACT 2:

@MathletePearcewww.tapintoteenminds.com

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?

ACT 3:

@MathletePearcewww.tapintoteenminds.com

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

ACT 3:

@MathletePearcewww.tapintoteenminds.com

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?

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

@MathletePearcewww.tapintoteenminds.com

-Part Math LessonHow many packs of paper would it

take to reach the ceiling?

3. Connections

Stacking Paper

24.7

5 cm

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

3. Connections

24.75 cm

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

3. Connections

24.75 cm

5 reams

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

3. Connections

24.75 cm

5 reams= 4.95 cm

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

3. Connections

4.95 cm

273

cm

@MathletePearcewww.tapintoteenminds.com

4.95 cm

273 cm

@MathletePearcewww.tapintoteenminds.com

4.95 cm=

273 cm 55.15reams

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

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

How many packs of paper will it take to reach a

height of 273 cm?3. Connections

packs of paper

height 273

cm

4.95 cm

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

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

A

B

short way

longway

@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.

Making Connections

@MathletePearcewww.tapintoteenminds.com

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

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

How many packs of paper will it take to reach a

height of 273 cm?3. Connections

packs of paper

height 273

cm

4.95 cm

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

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

How many packs of paper will it take to reach a

height of 273 cm? 4. Consolidate3. Connections

packs of paper

height 273

cm

4.95 cm

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

4. Consolidate3. Connections

2. Inquirypacks of paper heightIndependent Dependent

273

cm

4.95 cm

40

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

4. Consolidate3. Connections

0 01 4.952 9.9

packs of paper heightIndependent Dependent

4 19.840 198

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

4. Consolidate3. Connections

0 01 4.952 9.9

packs of paper heightIndependent Dependent

4 19.840 198

@MathletePearcewww.tapintoteenminds.com

packs of paper height:

@MathletePearcewww.tapintoteenminds.com

packs of paper

height

@MathletePearcewww.tapintoteenminds.com

packs of paper

height24.75 cm

5 reams= =

@MathletePearcewww.tapintoteenminds.com

24.75 cm

5 reams= =

273 cm

How Many?

@MathletePearcewww.tapintoteenminds.com

5 reams= =

x

24.75 cm 273 cm

x ??

@MathletePearcewww.tapintoteenminds.com

5 reams= =

10 reams

24.75 cm

x 2

x 2

49.50 cm

@MathletePearcewww.tapintoteenminds.com

5 reams= =

24.75 cm

x 10

x 10

247.50 cm

50 reams

@MathletePearcewww.tapintoteenminds.com

24.75 cm

5 reams= =

273 cm

55.15 reams

x 11.03

x 11.03

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

VISION

kylep.ca/princealbert

iTunes U Course

The Next Day…

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

How tall is the table?

130

.75

cm

4.95 cm

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

4. Consolidate

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson

4. Consolidate

Minds On

Inquiry2. -Part Math Lesson

Making Connections

@MathletePearcewww.tapintoteenminds.com

Minds On

@MathletePearcewww.tapintoteenminds.com

-Part Math LessonHow tall is the table?

130

.75

cm

packs of paper heightIndependent Dependent

5packs

130

.75

5

4.95 cm

Minds On

@MathletePearcewww.tapintoteenminds.com

-Part Math LessonHow tall is the table?

130

.75

cm

packs of paper heightIndependent Dependent

5packs

130

.75

5

4.95 cmSlope

Minds On

@MathletePearcewww.tapintoteenminds.com

-Part Math LessonHow tall is the table?

130

.75

cm

packs of paper heightIndependent Dependent

5packs

130.755

4.95 cmSlope )x y(

3. Connections

@MathletePearcewww.tapintoteenminds.com

In the past…

@MathletePearcewww.tapintoteenminds.com

3. Connections

@MathletePearcewww.tapintoteenminds.com

4. Consolidate

@MathletePearcewww.tapintoteenminds.com

2. Inquiry

@MathletePearcewww.tapintoteenminds.com

Consolidation

Consolidation

@MathletePearcewww.tapintoteenminds.com

Minds On

@MathletePearcewww.tapintoteenminds.com

How tall is the table?

packs of paper heightIndependent Dependent

5packs

130.755( )x y4.95 cmSlope

2 1 51 513

0.7

5 cm

Minds On

@MathletePearcewww.tapintoteenminds.com

How tall is the table?

packs of paper heightIndependent Dependentpacks

( )x ySlope

2 1 51 51

@MathletePearcewww.tapintoteenminds.com

packs of paper heightIndependent Dependentpacks

( )x y

2 1 51 5

1

5

1

52

y = m x + b

2

( )1 pack

@MathletePearcewww.tapintoteenminds.com

packs of paper heightIndependent Dependentpacks

( )x y

2 1 51 51 55

2 2( )

1

1y = m + b( )

51 pack

@MathletePearcewww.tapintoteenminds.com

packs of paper heightIndependent Dependentpacks

( )x y

2 1 51 51

5

5

2 2( )

1

1y = m + b( )51 pack

1pack

@MathletePearcewww.tapintoteenminds.com

packs of paper heightIndependent Dependentpacks

( )x y

2 1 51 51

5

5

2 2()

1

1y = + b()5 2

1pack

@MathletePearcewww.tapintoteenminds.com

packs of paper heightIndependent Dependentpacks

( )x y

2 1 51 51

5

5

2()

1

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

2

1pack

@MathletePearcewww.tapintoteenminds.com

packs of paper heightIndependent Dependentpacks

( )x y

2 1 51 51

5

5

2()

1

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

3

3

1pack

@MathletePearcewww.tapintoteenminds.com

packs of paper heightIndependent Dependentpacks

( )x y

2 1 51 51

5

5

2()

1

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

3

3y = 2x + 3

@MathletePearcewww.tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good at Memorization

Not Good at Memorization

Struggle withunfamiliarproblems

@MathletePearcewww.tapintoteenminds.com

Two Groups of StudentsStruggle with

unfamiliarproblems

Good at Math

Not Good at Math

@MathletePearcewww.tapintoteenminds.com

Two Groups of Students

Good at Math

Not Good at Math

Struggle withunfamiliarproblems

Connections

Minds On

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson4

Minds On1.

@MathletePearcewww.tapintoteenminds.com

-Part Math Lesson4

Minds On Inquiry1.

@MathletePearcewww.tapintoteenminds.com

2.

-Part Math Lesson4

Connections

Minds On Inquiry1.

@MathletePearcewww.tapintoteenminds.com

2.

3.

-Part Math Lesson4

Connections

Minds On

Consolidate

Inquiry1.

@MathletePearcewww.tapintoteenminds.com

2.

3. 4.

-Part Math Lesson4VISION

Connections

Minds On

Consolidate

Inquiry

1.

@MathletePearcewww.tapintoteenminds.com

2.

3.

4.

-Part Math Lesson4

Interconnected

Visual and Concrete

Contextual

VISION

Connections

Consolidate

Inquiry

@MathletePearcewww.tapintoteenminds.com

2.

3.

4.

Interconnected

Visual and ConcreteContextual

VISION

MINDS ON -Part Math Lesson4

Consolidate

Inquiry

@MathletePearcewww.tapintoteenminds.com

2.

4.

Connect to New Learning Goal

Visual and ConcreteContextual

VISION

MINDS ON

CONNECTIONS

-Part Math Lesson4

@MathletePearcewww.tapintoteenminds.com

Visual and ConcreteContextual

VISION

MINDS ON

INQUIRY

CONNECTIONS

-Part Math Lesson

Consolidate4.4

Prior Knowledge & Intuition

Connect to New Learning Goal

@MathletePearcewww.tapintoteenminds.com

Visual and ConcreteContextual

VISION

MINDS ON

CONNECTIONS

INQUIRYCONSOLIDATEPrior Knowledge

& Intuition

Connect to New Learning Goal

Apply New Skill Through Practice

@MathletePearcewww.tapintoteenminds.com

Visual and ConcreteContextual

MINDS ON

CONNECTIONS

INQUIRYCONSOLIDATEPrior Knowledge

& Intuition

Connect to New Learning Goal

4-PartLesson

Apply New Skill Through Practice

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

MATH

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextualTASKS

CONNECTIONS

MATH

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

MATH

TASKS

INQUIRY

CONNECTIONS

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

MATH

TASKS

CONNECTIONS

INQUIRYCONSOLIDATE

@MathletePearcewww.tapintoteenminds.com

GoodNotes 4

@MathletePearcewww.tapintoteenminds.com

How Tall Is The Table?

GoodNotes 4 130

.75

cm

@MathletePearcewww.tapintoteenminds.com

How Tall Is The Table?13

0.7

5 cm

142

.75

cm

100

.75

cm

@MathletePearcewww.tapintoteenminds.com

How Tall Is The Table?

142

.75

cm

100

.75

cm

142

.75

cm

100

.75

cm

Equations Given 2 Points

142

.75

cm

100

.75

cm

Equations Given 2 Points

142

.75

cm

100

.75

cm

Equations Given 2 Points

142

.75

cm

100

.75

cm

Equations Given 2 Points

@MathletePearcewww.tapintoteenminds.com

Interconnected

Visual and ConcreteContextual

MATH

TASKS

CONNECTIONS

INQUIRYCONSOLIDATE

Using iTunes Uin Mathematics

@MathletePearce

www.tapintoteenminds.com

Kyle Pearce

tapintoteenminds.com/princealbert