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

This is the fifth 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 XI. Reflections on Divisibility in infinitum, and on Monads. In speaking of the divisibility of body, we must carefully … Continue reading Letters of Euler to a German Princess, Vol. II, Letter XI

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

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

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

The New Shormann Math vs. Saxon Math and Common Core

Summary: If mathematics is the language of science, then fluency should be the goal, which means the traditional "layer cake" approach to 3 years of high school math (Algebra 1, Geometry, Algebra 2) is probably not the best approach. The shapers of Common Core's math standards realized this, and now states that adopt their standards … Continue reading The New Shormann Math vs. Saxon Math and Common Core

The 10 Major Concepts of Shormann Mathematics

The following is the fifth in a series of posts covering Shormann Mathematics, Algebra 1, the newest product from DIVE Math and Science! Click here to read the complete document that covers Shormann Math core ideas, course description, and Algebra 1 table of contents. After years of teaching mathematics, researching math curricula and math history, and applying mathematics as a scientist … Continue reading The 10 Major Concepts of Shormann Mathematics