Prof. Hoff is back again with his unique method of teaching mathematics. This time, he is review operations with numbers. In this video, he frames numbers in terms of place values and the number line and uses that background to present operations with whole numbers.
The professor's approach combines a little bit of math history along with an explanation of why things are done they way we have always been taught - and he throws in some alternative procedures as well. His method relies on showing the connections between operations with all types of numbers (Believe it or not, operations with polynomials follow exactly the same rules as operations with whole numbers.).
This video shows number operations using the expanded form of numbers to demonstrate the basic reasoning behind each procedure. It includes the true historical algorithm that long division is based off of that makes the process of long division make a lot more sense.
SEE PROF. HOFF'S FREE INTRODUCTORY VIDEO TO GET A SENSE OF HIS METHOD AND SEE HOW UNIQUE HIS APPROACH REALLY IS. You just might be amazed.