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Stern Structural Arithmetic and Fractions. Temple Ary Lois Feldman. www.sternmath.com International Dyslexia Association Conference March 9, 2010. Agenda. Discuss: What’s hard about teaching fractions?

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Stern structural arithmetic and fractions
Stern Structural Arithmetic and Fractions

Temple Ary Lois Feldman

www.sternmath.com

International Dyslexia Association Conference March 9, 2010


Agenda
Agenda

  • Discuss: What’s hard about teaching fractions?

  • Fraction story where each pair will cut fractions.

  • Play 2 fraction games.

  • Discuss what you learn about fractions from the games.

  • Show you a preview of a new fraction book.

  • Show you a money game that connects fractions, decimals and percents.



Candy bars
Candy Bars

  • Imagine your favorite candy bar

  • I have a candy bar and I’m about to take a bite….

One Whole


Stern structural arithmetic and fractions

One Whole

one half

one half

What is another name for a whole?

I have a candy bar and I’m about to take a bite….


Fourths
Fourths

One Whole

  • What is another name for a whole?

  • What is another name for a half?

  • Which is bigger – a fourth or a half?

I have candy bar and I’m about to take a bite….


Eighths
Eighths

One Whole

1

2

1

2

1

4

1

4

1

4

1

4

1

8

1

8

1

8

1

8

1

8

1

8

1

8

1

8


Hiding game
Hiding Game

What piece is missing?

Variation: Hide two pieces


Hiding game1
Hiding Game

  • What does one think about when figuring out which piece is hidden?

    • What row?

    • How many pieces is the whole cut into?


Fraction lotto game

8

8

8

4

2

4

Fraction Lotto Game

Fraction Pieces

Fraction Lotto Box

Numerators

1

1

1

2

2

3

Denominators



Putting away game
Putting Away Game

  • When the one student wins, play the putting away game.

  • The students whose board is not full have a head start

    When removing the pieces, you are, in fact, subtracting:

4

1=

4

1

4



Adding different denominators
Adding Different Denominators

  • Draw two denominator cards

  • Draw two numerator cards

2

1

Where do I want to put the numerators?

4

8

At the end of the game (so I can fill the game board),

allow them to pick just pick one numerator & denominator


Double or half
Double or Half

Put 3 on sides of a die:

Put 3 on sides of a die:

1 x

2

2 x

¼, ¼, ½,2/4, 3/4, 1

Make 6 cards

  • Each person has an empty Lotto Board

  • Roll the die (1/2 x)

  • Pick a card (1/4)

  • “½ of ¼ equals 1/8”

  • Student puts a 1/8 size piece on the lotto board

  • Students may exchange pieces at any time

  • Need exact amount to fill board


Division of fractions
Division of Fractions

How many fourths are in a whole?

1

2

3

4

Fractions are smaller than a whole…so there are 4.


Division of fractions1
Division of Fractions

  • Division of Whole Numbers

    • 30 divided by 6

      • Easy to demonstrate in the number track as containment

      • How many 6s are going to fit into 30?

      • Able to show that five 6-blocks fit into this space

  • Division of Fractions

    • ½ divided by ¼

      • How can we demonstrate containment?

      • How many 1/4s are going to fit into 1/2

1/2

1/4

1/4


Another example
Another Example

How many 1/8 yard pieces are in ¾ yard of material?

.

3

1

.

4

8

¾ yard of material and cut into 1/8 yard pieces


Stern structural arithmetic and fractions

.

3

3

3

$3 divided by

.

4

4

What do I have to do?

1. Makeinto quarters

2. Chunk into

groups of 3

.

3

3

.

4

12

3

Multiply 3 x 4

Total # of parts

How many groups?


Peg s new fraction book
Peg’s New Fraction Book

  • Peg's book. PDF