FABLE

1 / 25

# FABLE - PowerPoint PPT Presentation

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.

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

## PowerPoint Slideshow about 'FABLE' - Patman

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

FABLE

THE ORIGINS OF NUMERATION

AND ARITHMETIC

Pamela Leutwyler

Each day, he counted his camels.

This was difficult. They would not stand still.

They all looked alike. And sometimes…

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

Where he built a shallow box on the floor

In which he placed ONE pebble to

represent each camel on his lot.

If 2 camels are born

If he bought 2 camels

If 1 camel dies

If he sold 3 camels

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

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

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!

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

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

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

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

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

1 pebble in the next pile

Ten tens become

1 hundred

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

The laws of arithmetic

arise from this pebble board

6

5

+

4

8

3

Put down 3

6

5

+

4

8

3

1

Put down 3

6

5

Carry 1

+

4

8

1

3

1

1

Put down 3

6

5

Carry 1

+

4

8

Put down 1

1

Carry 1

2

5

-

8

1

Borrow 1

1

2

5

-

8

1

Borrow 1

1

2

5

-

8

1 7

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