Latest Posts

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Intuitive Guide to Convolution

November 23rd, 2020|

Integral of Sin(x): Geometric Intuition

November 19th, 2019|

Pythagorean Theorem As Sweeping Area

June 19th, 2019|

Intuition for the Quadratic Formula

May 1st, 2019|

Intuition For Polynomials

March 26th, 2019|

Analogy: Math and Cooking

February 28th, 2019|

Intuition for Taylor Series (DNA Analogy)

January 23rd, 2019|

What does an exponent really mean?

December 6th, 2018|

Intuition For Graphed Functions

November 1st, 2018|

Learning Tip: The 5 Second Gutcheck

October 2nd, 2018|

Imaginary Multiplication vs. Imaginary Exponents

August 31st, 2018|

Q: Why is e special? (2.718…, not 2, 3.7 or another number?)

August 3rd, 2018|

Intuition for Slope-Intercept Form

July 13th, 2018|

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

June 14th, 2018|

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.

The Lesson and the Meta-lesson

May 9th, 2018|

In class there's the lesson about a specific formula, sure, but the meta-lesson is how well the experience went. What worked? What didn't? How can we get more of the first and less of the second?

Math and Analogies

May 3rd, 2018|

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.

Einstein’s Theory of Special Relativity (MetaLearn Podcast)

March 30th, 2018|

I had another great chat with Nasos Papadopoulos on the wonderful MetaLearn podcast. Einstein’s Theory of Special Relativity has many consequences, including the famous equation E = MC² (Energy = Mass x Speed of Light²) and the notion that space and time are relative (observers can have different experiences of how large something is, or how much time elapsed).

Quick Insight: Intuitive Meaning of Division

February 28th, 2018|

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.

Newton’s Law of Gravity (Metalearn Podcast)

February 14th, 2018|

Common Definitions of e (Colorized)

January 29th, 2018|