What is Addition - Philosophically?

THREE SCHOOL WAYS TO INTERPRET DIVISION: Why, philosophically, are they equivalent?

THE ARITHMETIC OF FRACTIONS: Are you game for the mathematical truth and nothing but the math truth?

Three Oft-Overlooked Principles of Curriculum Design

A BORING PARTY TRICK with infinite consequences

SQUARE ROOTS and the AREA MODEL

Multiplication Facts and the Area Model

Graphing Something Horrible with the Power of Common Sense

There is more than one type of Infinity! (INFINITY: Part 1)

POLYNOMIAL DIVISION via the Area Model

On FACTORING QUADRATIC EXPRESSIONS -- if you must

Some Quick Fun with the Fourth Dimension

The Area Model for Long Division--an approach I do NOT recommend (and then one I do!)

Negative times Negative: A Deep Dive into Understanding It

Line Multiplication Explored and Explained

Long Multiplication is Weird

A Combinatorial Geometry puzzle that leads to Pick's Theorem -- and beyond!

A Lovely Geometry Puzzle

The Bee Numbers!

Friends of Muzology teach us how they say the number 175487.

How do you say the number 175487 in your language?

9. If English is Weird, We Can be Weird Too! ADDITION (Exploding Dots)

8. English is Weird

7. Number Bases in Society (Exploding Dots)

6. Explaining the Machines (Exploding Dots)

QUICK OVERVIEW (Optional)

20. Advanced Algebra is not the Advanced, Really (Exploding Dots)

3. Having Fun with Binary (Exploding Dots)

5. The "ten-one" Machine (Exploding Dots)

4. More Machines (Exploding Dots)