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Convergence articles

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A collection of articles dealing with mathematical models and objects and how they can be used in teaching.
Make a crown of gold copper, tin, and iron weighing 60 minae: gold and copper shall be 2/3 of it; gold and tin, 3/4 of it; and gold and iron, 3/5 of it. Find the required weights of gold, copper, tin, and iron.
A four-sided town measures 1100 feet on one side and 1000 feet on the other side, on one edge 600 and the other edge 600.

The authors provide an analysis and English translation of the argument by a little known French mathematician that calculus should be based on series rather than on infinitesimals.

Now there are six-headed four-legged animals and four-headed two-legged birds placed together.
What is the sum of the following series, carried to infinity: 11, 11/7, 11/49, etc.?
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20.
Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...
The eleventh International Congress on Mathematical Education will meet in Monterrey, Mexico from July 6 to July 13, 2008.
Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual growth of the population.

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