Title: Kathryn Mayo
1Kathryn Mayo
2Sorry, Wrong!
3History of Computer Science
4From prehistory tocomputers to the internet
5Ethnological and Psychological Origins of Numbers
6Domestic animals notice one item missing from a
small set
7Goldfinches distinguish between piles of seed
- 3 and 1
- 3 and 2
- 4 and 2
- 4 and 3
- 6 and 3
8The story of the crow
9Childhood development
- Sensory motor period
- Pre-operative period
- Intuitive period
- Stage of concrete operations
- Formal functions
10Born with few innate abilities
11One, two, many
Toddlers
12Real counting only after languagedevelopment
13one, two many
Australian
Australian
Yanomamo
Botocudos
Zulu
Bushmen
Vedda
14How Cro-Magnon Man Counted
15pebbles, shells, hard fruit, small sticks
163 stages of development
- only lowest numbers grasped
- names of the body parts start to mean something
else - numbers get names
two
three
one
17The limits of perception
18Grouping of 5 lines found all over the world
19Early ways of counting on the fingers
20Knuckles and joints
21Counting on the body
22Morra mentioned through history
still played in Italy, Southeast France,
Morocco hua quan in China, Mongolia Rabelais,
Malherbe Greece vases Egyptian tombs
23The Game of Morra
24Numbers on Strings
quipu
Inca
25numbers, value and money
- barter
- objects given a value of a certain number of
debens - cheating kept money from being used
- government had to take over minting money
26Base Numbers and the Birth of Number-Systems
27Why base 10 ?