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Number Stories of Long Ago AMATYC Denver 2017 Janet Teeguarden
Fun With Math Number Stories of Long Ago AMATYC Denver 2017 Janet Teeguarden
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One Two Many Ching
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One Two Three Many An-am
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One Two Three Four Many Menes
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Many centuries later…..
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In Ancient Egypt Story Time….
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Ca 3000 BC – 300 BC Ahmes
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Red sea
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The Priest’s 27,529
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Heiroglyphics, Base Ten An additive system In Egypt… BC
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Egyptian numeral for 4124
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Egyptian Numerals Can you write the Egyptian numerals for 1,243
121,036 Egyptian Numerals
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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
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Cross Number Puzzle (Work together) Egyptian Numerals
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In Babylon in Mesopotamia
Story Time….
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Ca BC Lugal
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Pressed a pointed stick on damp clay
Cuneiform symbols – (Wedge-shaped)
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Babylonian Numeration
Two distinct symbols were used, a unit symbol and a ten symbol Babylonian Numeration
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Babylonia (Babylon)… 2000 BC
First to use place value Base 60 system But NO Zero! Babylonia (Babylon)… 2000 BC
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Base 60 Place Values _______ _______ _______ _______
_______ _______ _______ _______ 216000’s ’s ’s ’s Base 60 Place Values
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Babylonian Numerals
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Babylonian 424,000
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Cross Number Puzzle (Work together) Babylonian Numerals
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In Ancient China Story Time……
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BC Chang
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Simple Numerals
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Complex Numerals
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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.
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123, Simple and Complex
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Cross Number Puzzle (Work together) Chinese Numerals
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In the Ancient Roman Empire Story Time….
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753 BC – 476 AD Titus
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Ancient Roman Empire
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Roman Numerals
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Addition – oh my!
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What’s wrong here?
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Cross Number Puzzle (Work together) Roman Numerals
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Ancient Mayan Civilization
Story Time….
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250 AD – 900 AD (Early Maya 2000 BC AD) Kawil
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Ancient Maya
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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
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Mayan
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Mayan
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Mayan Place Values _____ 18 x (144000’s) _____ 18 x (7200’s)
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Cross Number Puzzle (Work together) Mayan Numeration
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Today’s Numbers (Hindu-Arabic) The rest of the story…
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Arabic/Islamic Peoples to
India to Arabic/Islamic Peoples to Europe (ca 1200 AD) (thanks to Fibonacci)
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MacTutor website – 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)
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Thank you for coming! to request BIBLIOGRAPHY POWERPOINT ANSWER KEY to the cross-number puzzle
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