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

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

Shormann Algebra 1: Results Matter

Why do results matter? Shormann Math builds on a solid foundation of time-tested teaching methods, including the incremental development + continual review format pioneered by John Saxon(1923-1996). And not just Saxon’s teaching methods, but his teaching thoughts as well, including his thought that Results, not methodology, should be the basis of curriculum decisions. One of … Continue reading Shormann Algebra 1: Results Matter

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