You may have seen a geoboard, which is simply a board with pegs. Two simple geoboards with the pegs labeled A, B, C, ….
Suppose that the horizontal and vertical distance between the pegs … See the whole entry
Historical Quest
We mentioned that the Egyptians wrote their fractions as sums of unit fractions. Show that every positive fraction less than 1 can be written as a sum of unit fractions. Reference Bernhardt Wohlgemuth, “Egyptian Fractions,” … See the whole entry
In the text we tried some formulas that might have generated only primes, but, alas, they failed. Below are some other formulas. Show that these, too, do not generate only primes.
a. n2 + n + 41… See the whole entry
Build a working model of Napier’s rods.
Write a paper and prepare a classroom demonstration on the use of an abacus.
Build your own device as a project.
Write a paper regarding the invention … See the whole entry
“I became operational at the HAL Plant in Urbana, Ill., on January 12, 1997,” the computer HAL declares in Arthur C. Clarke’s 1968 novel, 2001: A Space Odyssey. Now that time has passed and many advances have … See the whole entry
The people from the Long Lost Land had only the following four symbols as shown in the text. Write out the first 20 numbers.
Find
a. square plus star and
b. star times star.
(Use your imagination to … See the whole entry
What are some of the significant events in the development of mathematics? Who are some of the famous people who have contributed to mathematical knowledge?
References:
Howard Eves, In Mathematical Circles, Vols. 1 and 2 (Boston: … See the whole entry
Write a paper discussing the Egyptian method of multiplication.
References:
James Newman, The World of Mathematics, Vol. I (New York: Simon and Schuster, 1956), pp. 170-178.
Howard Eves, Introduction to the History of Mathematics, … See the whole entry
Build a simple device which will add single digit numbers.
References:
Circuit design
http://en.wikipedia.org/wiki/Adder_(electronics)
http://cpuville.com/adder.htm… See the whole entry
A mathematician attended a convention of men and women scientists. The mathematician observed that if any two of them were picked at random, at least one of the two would be male. From this information, it … See the whole entry