Math Forum Internet News

Volume 2, Number 43

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27 October 1997                                Vol. 2, No. 43

                 THE MATH FORUM INTERNET NEWS

 Foundations of Mathematics | Egyptian/Roman Numerals | Epigone


          FOUNDATIONS OF MATHEMATICS - ROGER BLUMBERG
         A summer 1997 program for high school students
        Division of Special Programs, Columbia University

             http://www.stg.brown.edu/~rog/GS97/

An introduction to some key mathematical habits and concepts 
not often taught at the pre-college level. This site serves 
as a model for presenting and augmenting a course on the Web.

Over a four-week session, students examined:

  - What is mathematics (for)?: analysis and generalization 
  - The mechanics of mathematical proof
  - The mathematics of counting
  - An introduction to the mathematical theory of probability

Roger Blumberg is an educational hypermedia researcher at the
Scholarly Technology Group of Brown University, and works on 
a variety of educational projects, often as part of Brown's 
participation in the NetTech consortium.

    http://www.stg.brown.edu/stg/staff_pages/roger.html


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                  EGYPTIAN AND ROMAN NUMERALS

             ROMAN NUMERALS 101 - OLIVER LAWRENCE
    http://www.cod.edu/people/faculty/lawrence/romans00.htm

"The Romans used only seven letters to express all their 
 numbers. The combination of a letter and its position could 
 represent any number. They also use a line above the letter,
 so the numbering system actually represents our own very 
 closely, with fourteen different symbols. The major 
 difference is how they treat the notion of zero...."

 This tutorial includes uses for Roman Numerals (clocks)
 and a Table of Arabic and Roman Numerals:

    http://www.cod.edu/people/faculty/lawrence/romans.htm

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                   ROMAN NUMERAL CONVERSION
                 http://www.ivtech.com/roman/

            Enter an arabic number less than 4000, 
            and receive the equivalent Roman numeral.

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            EGYPTIAN MATHEMATICS - MARK MILLMORE
       http://eyelid.ukonline.co.uk/ancient/numbers.htm

A summary of Egyptian mathematical symbols and conventions 
for reading and writing numbers, together with some problems
"to see if you could survive in the world of Egyptian
numerals and mathematics."

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"...Egyptian numerals are essentially Roman numerals, with 
 no fives, or 50's, or 500's... In Egyptian, numbers are 
 longer than in Roman numerals, but arithmetic is simpler. 
 There are fewer "carries" and no "borrows" when adding, 
 so a person might guess that calculation was done more 
 often in Egypt than in the Roman Empire...."

         - from Jim Loy's "ARITHMETIC WITH ROMAN NUMERALS"
                     http://www.mcn.net/~jimloy/roman.html 


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         EPIGONE - THE MATH FORUM DISCUSSION SOFTWARE

            http://mathforum.org/epigone/

The Math Forum's archives now offer full-fledged Web
discussions: you can view, search, and post to
math-related mailing lists and newsgroups from the Web.

Since these Web discussions are updated when each new
message is posted, they are as current as a mailing list.
In addition, the software threads messages, organizing
them by subject, and provides a search capacity.

You can post new messages and reply to those posted by
others directly from the Web using the form linked to
the Web discussion.

The Math Forum's Web archives are maintained by Epigone,
the Math Forum's own Web-based discussion software.


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