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 X
This is the fourth 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, which I posted over a year ago. Sorry, I'm a little slow on posting these! Letter X. Of Monads. When … Continue reading Letters of Euler to a German Princess, Vol. II, Letter X
Comparing Khan Academy’s “Procedures” to Shormann Math’s “Story” for Teaching High School Math
In a 2012 Education Week article, Justin Reich, an internet education specialist, wrote that Khan Academy's math courses overemphasize procedure. In other words, Khan's math video lectures explain the steps to solve a problem, but they don't take time to explain the concept behind the steps. In the words of the author, "writing about mathematics, … Continue reading Comparing Khan Academy’s “Procedures” to Shormann Math’s “Story” for Teaching High School Math
Letters of Euler to a German Princess, Vol. II, Letter IX
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
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
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
4 Key Math Concepts You Won’t Find on Standardized Tests
For the most part, standardized tests like the SAT and ACT are good indicators of math aptitude and college readiness. Since the tests are timed, you have about a minute to answer each problem. Success on these tests means having your fundamental math rules memorized and being fluent with their use. However, there are some problems types … Continue reading 4 Key Math Concepts You Won’t Find on Standardized Tests
Building Good Study Habits with Shormann Math
We just completed the beta-test of Shormann Algebra 2, our second course in the Shormann Math series. We learned a lot about what does and doesn't work last year in the Shormann Algebra 1 course, so in building Shormann Algebra 2, we applied the good and cast the bad into the lake of fire. A … Continue reading Building Good Study Habits with Shormann Math
C.S. Lewis Destroys Common Core in One Sentence
Common Core Cancer A brave Texas 7th-grader alleges that during an assignment about Common Core's fake version of critical thinking, the teacher directed students to label God as a myth. This type of "anchor chart" assignment forces students to wrongfully classify all statements as either fact, opinion, or commonplace assertion. Here's how these categories are defined in a typical Common Core … Continue reading C.S. Lewis Destroys Common Core in One Sentence
Studying His Word and His Works 