## Intuition for Slope-Intercept Form

Slope-intercept form is written in a very mathy way: y = mx + b. Let's turn this into plain English.

## Learning Math: Find The Implied Subject

In English, we often drop the subject of a phrase, such as in these signs:
Who are these signs written for? It's really *You, stop* or *You, yield* or *You, be alert for bears* (I'm not doing it).
After internalizing a language, we can take hints without explicit instructions. But, to put it politely, math isn't usually well-internalized.
Let's get clear about who the "math signs" are referring to.

## Math and Analogies

Here's a talk (video and transcript) on "Math And Analogies" I did for the Center on Contemporary Art in Seattle. The gist: good analogies make math a joy.

## Quick Insight: Intuitive Meaning of Division

While working on some math colorizations I ran across some interpretations of division.

Multiplication can be repeated addition, scaling, rotating (via imaginary numbers), and more.

What about division? Let's take a look.

## Easy Trig Identities With Euler’s Formula

Trig identities are notoriously difficult to memorize: here’s how to learn them without losing your mind.

## Learning math? Think like a cartoonist.

What’s the essential skill of a cartoonist? Drawing ability? Humor? A deep well of childhood trauma?
I’d say it’s an eye for simplification, capturing the essence of an idea.

## How To Learn Trigonometry Intuitively

Go beyond SOH-CAH-TOA and visualize trig.

## It’s Time For An Intuition-First Calculus Course

**Summary:** I'm building a calculus course from the ground-up focused on *permanent intuition*, not the cram-test-forget cycle we've come to expect.
Interested? Sign up for the [mailing list](http://betterexplained.com/articles/betterexplained-email-list/) to get news about the pilot, launching early August. The learning principles below will guide its development.