THE DEVELOPMENT OF COUNTING SYSTEMS AND NOTATIONS

Examples that could be used for Assessments

(1 - 5 would need "extra" sections added to them)



  1. Write 574 and 475 in:

    (a) Egyptian Hieroglyphs
    (b) Roman Numerals
    (c) Attic Greek Numerals
    (d) Babylonian Cuneiform, etc.,

  2. How many different symbols must one memorizee in order to write numbers less than 1000 in alphabetic Greek? In Egyptian Hieroglyps? In Babylonian Cuneiform?

  3. As an alternative to the Cuneiform Wedge - shaped numeral symbols, the ancient Babylonians sometimes used circular numerals symbols (they were circular shaped imprints). Here the symbols for 1 and 10 are and . Write with this notation the numbers:

    5
    780
    72803
    450082
    3257888

  4. Make an addition table up through 10 + 10 and a multiplication table up to 10 x 10 for Greek numeral system.

  5. Many simple number tricks were one "is to guess a selected number" have explanations depending on our own positional scale. Expose some "tricks" eg.

    Someone is asked to think of a 2 digit number he is then requested to multiply the tens digit by 5, add 7, double, add the units digits of the original number and announce the final result. From the result the conjurer secretly subtracts 14 and obtains the original number.

  6. The Hindu - arabic decimal place value system of numerals was bound to conquer other systems.

    Discuss.

REMEMBER:

What Criteria are you being judged on?

FIRST ASSESSMENT

Counting Systems and Notations

History of Mathematics Module

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