The next chapter in the Math From Scratch series is available here. We can now define a division algorithm involving remainder.

# math

## Math From Scratch 14: Defining Division With Remainder

October 1, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

## Math From Scratch 13: Metric Spaces Other Than Canada

September 10, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

We can finally define distances, which allows us to establish the number line. Those tools are presented in lesson 13: Metric Spaces Other Than Canada.

## Math From Scratch 12: Other Bases

August 20, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

With the bases representation theorem established, we can examine the bases that are common to computer science, and how they have plagued some of the more adept Nintendo players of by generation. Lesson 12: Other Bases.

## Math From Scratch 11: Introducing Base 10

July 30, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

In our eleventh lesson, we can formally justify the number representation we inherited from Arab mathematicians so many centuries ago. I hope you enjoy All Your Bases Are Belong To Us.

## Teaching Tidbit: Multiplying Left to Right

July 24, 2011 by W. Blaine Dowler education, math Bureau 42 Teaches

Some regions have seen a trend towards multiplying numbers from left to right instead of right to left in recent years. An explanation of how this “works” and my own personal critique of the methods can be found here.

## Math From Scratch 0010: Introduction to Rings

July 9, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

Our tenth lesson introduces ring theory, which allows us to define several familiar concepts: One Algebra To Rule Them All. Remember, past lessons can all be found by clicking on the “math from scratch” tag below.

## Math From Scratch 0009: Cosets and Lagrange’s Theorem

June 18, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

Part nine of a number that I hope will be finite: Cosets and Cardinality. Remember, past lessons can all be found by clicking on the “math from scratch” tag below. Also, try as I might, I couldn’t find a natural ZZ Top reference to work into this lesson dealing with Lagrange’s Theorem. Suggestions are welcome in the space below.

## Math From Scratch 0008: Mappings and Functions

May 28, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

Part eight of a number that just keeps getting bigger: Mappings and Functions. Remember, past lessons can all be found by clicking on the “math from scratch” tag below.

## Math From Scratch 007: In Her Majesty’s Secret Subgroup

May 7, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

Part seven of a number that just keeps getting bigger: Subgroups. Remember, past lessons can all be found by clicking on the “math from scratch” tag below.

## Math From Scratch 15: The Fundamental Theorem of Arithmetic

November 1, 2011 by W. Blaine Dowler education, math, math from scratch Bureau 42 Teaches

The fifteenth lesson of the Math From Scratch series, dealing with the Fundamental Theorem of Arithmetic, is available here.