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Convergence articles

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In this collection of essays on modern trends and issues in the history of mathematics, consideration of mathematics history in the classroom is often more theoretical than practical.

Given the fraction ax/ (a-x ), convert it into an infinite series.
There is a tree with 100 branches. How many nests, eggs and birds are there?

Curve sketching, tangent lines, and optimization, explored via interactive applets

If 12 cattle eat up 3 1/3 acres of meadow in 4 weeks and 21 cattle eat up 10 acres of exactly similar meadow in 9 weeks, how many cattle shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)
A description of this well-regarded website.

Having been given the lengths, a and b, of two straight lines drawn from the acute angles of a right triangle to the middle of the opposite sides, determine the lengths of those sides.

A study and English translation of Servois' attempt to place calculus on a foundation of algebraic analysis without recourse to infinitesimals, continuing the work of Lagrange.
Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.
A survey of early theories of planetary motion, with dynamic figures to help in understanding these motions.

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