Month: May 2017

Letters of Euler to a German Princess, Vol. II, Letter IX

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This is the third of eleven Letters of Euler I will rewrite and post on the subject of infinitesimals (the infinitely small), an idea that is fundamental to a good understanding of calculus. Click here to read the previous letter. Letter IX. Whether this Divisibility in Infinitum Takes Place in Existing Bodies? It is, then, a completely established truth, … Continue reading Letters of Euler to a German Princess, Vol. II, Letter IX

Comparing Khan Academy’s Mastery Approach to Shormann Math’s Fluency Approach for Teaching High School Math

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This is the first in a series of posts comparing Khan Academy's online math courses to our new Shormann Math curriculum. Shormann Math is part of DIVE Math and Science. When Sal Khan started tutoring his cousins in 2003 using digital whiteboard video lectures, my family's small business was already in its third year of producing similar products. Since then, … Continue reading Comparing Khan Academy’s Mastery Approach to Shormann Math’s Fluency Approach for Teaching High School Math

Letters of Euler to a German Princess, Vol. II, Letter VIII

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This is the second of eleven Letters of Euler I will rewrite and post on the subject of infinitesimals (the infinitely small), an idea that is fundamental to a good understanding of calculus. Click here to read the previous letter. Letter VIII. Divisibility of Extension in Infinitum The controversy between modern philosophies and geometricians to which I have … Continue reading Letters of Euler to a German Princess, Vol. II, Letter VIII

Letters of Euler to a German Princess, Vol. II, Letter VII

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This is the first of eleven Letters of Euler I will rewrite and post on the subject of infinitesmals (the infinitely small), an idea that is fundamental to a good understanding of calculus. I am rewriting them from a 1795 English translation, and will edit some of the awkward character usage (among other things, the first "s" used in any … Continue reading Letters of Euler to a German Princess, Vol. II, Letter VII