slide1 l.
Download
Skip this Video
Download Presentation
FABLE

Loading in 2 Seconds...

play fullscreen
1 / 25

FABLE - PowerPoint PPT Presentation


  • 352 Views
  • Uploaded on

FABLE. THE ORIGINS OF NUMERATION AND ARITHMETIC. Pamela Leutwyler. Once upon a time, in ancient Greece, there was a USED CAMEL DEALER. Each day, he counted his camels. This was difficult. They would not stand still. They all looked alike. And sometimes…. It was cold and rainy.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'FABLE' - Patman


Download Now An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

FABLE

THE ORIGINS OF NUMERATION

AND ARITHMETIC

Pamela Leutwyler

slide3

Each day, he counted his camels.

This was difficult. They would not stand still.

They all looked alike. And sometimes…

slide5

So one day, the used camel dealer got a good idea.

Having just counted, he knew exactly

How many camels were on the lot.

used camels

He went into his showroom

slide6

Where he built a shallow box on the floor

In which he placed ONE pebble to

represent each camel on his lot.

slide7

If 2 camels are born

If he bought 2 camels

If 1 camel dies

If he sold 3 camels

slide8

This system was an improvement over running around in all kinds

Of weather to chase and count the actual camels. But as he

Prospered, the huge pile of pebbles became awkward to count.

slide9

This system was an improvement over running around in all kinds

Of weather to chase and count the actual camels. But as he

Prospered, the huge pile of pebbles became awkward to count.

Then he got a really good idea!

slide10

The pebbles are temporarily removed

Then partitions are built

The first pile will function just as the original pebble board

One pebble

represents one camel

slide11

In this pile 1 pebble represents 1 camel

Let’s view the pebble board from the top

3 camels are born

1 camel dies

he sells 1 camel

he buys 5 camels

slide12

Instead of allowing the pebbles to pile up, the dealer makes this rule:

In this pile 1 pebble represents 1 camel

When 10 pebbles accumulate in a pile, they are replaced with

1 pebble in the next pile

slide13

Instead of allowing the pebbles to pile up, the dealer makes this rule:

In this pile 1 pebble represents 10 camels

When 10 pebbles accumulate in a pile, they are replaced with

1 pebble in the next pile

slide14

Instead of allowing the pebbles to pile up, the dealer makes this rule:

When 10 pebbles accumulate in a pile, they are replaced with

1 pebble in the next pile

Ten tens become

1 hundred

slide16

This is beginning to look familiar. Representing a camel with a

Pebble was the first level of abstraction. Next, piles of pebbles will

Be replaced with symbols. Then, we do not need pebbles and boards.

5

2

3

slide17

The laws of arithmetic

arise from this pebble board

slide18

6

5

+

4

8

slide19

3

Put down 3

6

5

+

4

8

slide20

3

1

Put down 3

6

5

Carry 1

+

4

8

slide21

1

3

1

1

Put down 3

6

5

Carry 1

+

4

8

Put down 1

1

Carry 1

slide22

2

5

-

8

slide23

1

Borrow 1

1

2

5

-

8

slide24

1

Borrow 1

1

2

5

-

8

1 7

slide25

Why did the used camel dealer choose the number 10 ?

Probably it was because he had 10 fingers.

Our numeration system is called base ten.

If we choose another number – lets say 7 - when we

Make the rule about when to move pebbles, we generate a

BASE SEVEN NUMERATION SYSTEM