Number Stories of Long Ago AMATYC Denver 2017 Janet Teeguarden

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Presentation transcript:

Number Stories of Long Ago AMATYC Denver 2017 Janet Teeguarden Fun With Math Number Stories of Long Ago AMATYC Denver 2017 Janet Teeguarden

One Two Many Ching

One Two Three Many An-am

One Two Three Four Many Menes

Many centuries later…..

In Ancient Egypt Story Time….

Ca 3000 BC – 300 BC Ahmes

Red sea

The Priest’s 27,529

Heiroglyphics, Base Ten An additive system In Egypt… 3000 BC

  Egyptian numeral for 4124

Egyptian Numerals Can you write the Egyptian numerals for 1,243 121,036 Egyptian Numerals

Egyptian Numerals Question: Ahmes can write the number for 1,000,000 with just 1 symbol, the “astonished man!” But just one number less ???? How many symbols would Ahmes have to use to write the number 999,999? Egyptian Numerals

Cross Number Puzzle (Work together) Egyptian Numerals

In Babylon in Mesopotamia Story Time….

Ca 3000 - 2000 BC Lugal

Pressed a pointed stick on damp clay Cuneiform symbols – (Wedge-shaped)

Babylonian Numeration Two distinct symbols were used, a unit symbol and a ten symbol   Babylonian Numeration

Babylonia (Babylon)… 2000 BC First to use place value Base 60 system But NO Zero! Babylonia (Babylon)… 2000 BC

Base 60 Place Values _______ _______ _______ _______ _______ _______ _______ _______ 216000’s 3600’s 60’s 1’s Base 60 Place Values

Babylonian Numerals

Babylonian 424,000

Cross Number Puzzle (Work together) Babylonian Numerals

In Ancient China Story Time……

4000 - 2000 BC Chang

Simple Numerals

Complex Numerals

The complex numerals are used on cheques, banknotes and coins and are the equivalent of writing 'one', 'two', 'three', etc, rather than 1, 2, 3. The simple numerals are used for everything else.

123, Simple and Complex

Cross Number Puzzle (Work together) Chinese Numerals

In the Ancient Roman Empire Story Time….

753 BC – 476 AD Titus

Ancient Roman Empire

Roman Numerals

Addition – oh my!

http://www.illustrationsof.com/clock-clipart What’s wrong here?

Cross Number Puzzle (Work together) Roman Numerals

Ancient Mayan Civilization Story Time….

250 AD – 900 AD (Early Maya 2000 BC - 250 AD) Kawil

Ancient Maya

Mayan – 300 AD Only 3 symbols Base twenty (mostly) First to use a symbol for zero as a place holder (36 BC) Vertical numbers Mayan – 300 AD

Mayan

Mayan

Mayan Place Values _____ 18 x (144000’s) _____ 18 x (7200’s)

Cross Number Puzzle (Work together) Mayan Numeration

Today’s Numbers (Hindu-Arabic) The rest of the story…

Arabic/Islamic Peoples to India to Arabic/Islamic Peoples to Europe (ca 1200 AD) (thanks to Fibonacci)

MacTutor website – http://www-history.mcs.st-and.ac.uk/ But just type MacTutor in your browser and then click on History Topics Index Look at Indian Mathematics and Arabic Mathematics (Click on Indian numerals and Arabic numerals)

Thank you for coming! Email to request BIBLIOGRAPHY POWERPOINT ANSWER KEY to the cross-number puzzle jteeguar@yahoo.com