Using iTunes U in Math Class - Prince Albert Grand Council

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

@MathletePearcewww.tapintoteenminds.com

Effective
Instructional Practice
Embedding
Technology
SAMR Model
Progression
MYCI

SAMR Model
Progression
Effective
Instructional Practice
Embedding
Technology

STUDENT
LEARNING
NEEDS

ABOUT ME
Windsor, ON
Math Teacher / Math Coach
Apple Distinguished
Educator
Apple Authorized Trainer
Google Certiﬁed Teacher

WHERE

Math

Math Class

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.

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.

Result

Two Groups of
Students
Result

Two Groups of Students
Good at
Math

Good at
Math
Not
Good at
Math

Good at
Math
Not
Good at
Math
Know:

Good at
Math
Not
Good at
Math
Know:
terminology

Good at
Math
Not
Good at
Math
Know:
terminology
procedures

Good at
Math
Not
Good at
Math
Know: Know:
terminology
procedures
terminology
procedures

Good at
Memorization

Good at
Memorization
Not Good at
Memorization

Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems

TEST QUESTION

TEST QUESTION
=

TEST QUESTION
=
EXAMPLE

TEST QUESTION
=
HOMEWORK

TEST QUESTION
=
TEXTBOOK

UNFAIR

Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems
UNFAIR

Kyle Pearce

Good at
Math
Not
Good at
Math
Kyle Pearce

New Knowledge

New Knowledge
Prior Knowledge

MATH

MATH
SILO
1
SILO
2
SILO
3
SILO
4

A VISION FOR
MATHEMATICS
EDUCATION
VISION

VISION

Contextual
VISION

Visual and Concrete
Contextual
VISION

Interconnected
Visual and Concrete
Contextual
VISION

Interconnected
Visual and Concrete
Contextual
CONFIDENCE

Interconnected
Visual and Concrete
Contextual
PERCEPTION

Interconnected
Visual and Concrete
Contextual
STUDENT
SUCCESS

iTunes U

iTunes U iBooks Author

iTunes U iBooks Author
kylep.ca/pythagorean-itunesu

Workﬂow

“Which math apps
should I use?”

EVERGREEN

GoodNotes 4

Google Drive

Doceri

Effective Teaching
Practice

Transformational
Technology Use
Effective Teaching Practice
BEFORE

Transformation
Enhancement

Enhancement
Transformation

Workﬂow
GoodNotes 4

GoodNotes 4

- Annotate PDFsGoodNotes 4

Write With Ease
Zoom Tool
Zoom Box

Saving Content
Cloud
Email
iTunes

One-Way Sync
Auto-Magically!

Cloud Shared Folders

Accessible Anywhere
Smartphone
Computer
Tablet

QUESTION

QUESTIONS

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

PREDICTIONS

REQUEST
INFORMATION

How many packs of paper would
it take to reach the ceiling?
Stacking Paper
273cm
24.75cm

ORIGINAL QUESTION

ORIGINAL 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?

ORIGINAL QUESTION
he need to reach the ceiling?FUN, RIGHT?
AnswerKey:55.15

ORIGINAL QUESTION
AnswerKey:55.15

ACT 1:

ACT 2:
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:
AnswerKey:55.15

ACT 3:

How many packs of paper would it
take to reach the ceiling?
Stacking Paper
24.75cm

24.75 cm

24.75 cm
5 reams

24.75 cm
5 reams
= 4.95 cm

4.95 cm
273cm

4.95 cm
273 cm

4.95 cm
=
273 cm 55.15
reams

How many packs of paper would it
take to reach the ceiling?
How many packs of paper
will it take to reach a
height of 273 cm?
packs of paper
height
273cm
4.95 cm

@MathletePearcewww.tapintoteenminds.com @MathletePearcewww.tapintoteenminds.com
A
B
short way
long
way

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

Making Connections

packs of paper height
Independent Dependent
273cm
4.95 cm

0 0
1 4.95
2 9.9
4 19.8
40 198

packs of paper height:

packs of paper
height

packs of paper
height
24.75 cm
5 reams
=

24.75 cm
5 reams
=
273 cm
How Many?

5 reams
=
x
24.75 cm 273 cm
x ??

5 reams
=
10 reams
24.75 cm
x 2
x 2
49.50 cm

5 reams
=
24.75 cm
x 10
x 10
247.50 cm
50 reams

24.75 cm
5 reams
=
273 cm
55.15 reams
x 11.03
x 11.03

kylep.ca/princealbert
iTunes U Course

The Next Day…

How tall is the table?
130.75cm
4.95 cm

130.75cm
5
packs
130.75
5
4.95 cm

130.75cm
5
packs
130.75
5
4.95 cm
Slope

130.75cm
5
packs
130.755
4.95 cm
Slope
)x y
(

3. Connections

In the past…

4. Consolidate

Consolidation

5
packs
130.755( )x y4.95 cm
Slope
2 1515
130.75cm

packs
( )x y
2 15151

packs
( )x y
2 1515
1
5
1
52
y = m x + b
2
( )
1 pack

packs
( )x y
2 15151 55
2 2( )
1
1y = m + b( )
5
1 pack

packs
( )x y
2 15151
5
5
2 2( )
1
1y = m + b( )5
1 pack

1pack
packs
( )x y
2 15151
5
5
2 2()
1
1y = + b()5 2

1pack
packs
( )x y
2 15151
5
5
2()
1
1y = + b()5 2
-2-2
2

1pack
packs
( )x y
2 15151
5
5
2()
1
1y = +b()5 2-2-22
3
3

1pack
packs
( )x y
2 15151
5
5
2()
1
1y = +b()5 2-2-2
2
3
3
y = 2x + 3

Struggle with
unfamiliar
problems
Good at
Math
Not Good
at Math

Good at
Math
Not Good
at Math
Struggle with
unfamiliar
problems

-Part Math Lesson4

Minds On1.
-Part Math Lesson4

Minds On Inquiry1.
2.
-Part Math Lesson4

Connections
Minds On Inquiry1.
2.
3.
-Part Math Lesson4

Connections
Minds On
Consolidate
Inquiry1.
2.
3. 4.
-Part Math Lesson4

Connections
Minds On
Consolidate
Inquiry
1.
2.
3.
4.
-Part Math Lesson4
Interconnected
Visual and Concrete
Contextual
VISION

Connections
Consolidate
Inquiry
2.
3.
4.
Interconnected
Visual and Concrete
Contextual
VISION
MINDS ON
-Part Math Lesson4

Consolidate
Inquiry
2.
4.
Connect to New
Learning Goal
Visual and Concrete
Contextual
VISION
MINDS ON
CONNECTIONS
-Part Math Lesson4

Visual and Concrete
Contextual
VISION
MINDS ON
INQUIRY
CONNECTIONS
-Part Math Lesson
Consolidate4.
4
Prior Knowledge
& Intuition
Connect to New
Learning Goal

Visual and Concrete
Contextual
VISION
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice

Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
4-Part
Lesson
Apply New Skill
Through Practice

Interconnected
Visual and Concrete
Contextual
MATH

Interconnected
Visual and Concrete
Contextual
TASKS
CONNECTIONS
MATH

Interconnected
Visual and Concrete
Contextual
MATH
TASKS
INQUIRY
CONNECTIONS

Interconnected
Visual and Concrete
Contextual
MATH
TASKS
CONNECTIONS
INQUIRYCONSOLIDATE

How Tall Is The Table?
130.75cm

130.75cm
142.75cm
100.75cm

142.75cm
100.75cm

142.75cm
100.75cm
Equations Given 2 Points

Using iTunes U in Math Class - Prince Albert Grand Council

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