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Why Is Better Explained Different?

Most lessons offer low-level details in a linear, seemingly logical sequence. Better Explained focuses on the big picture — the Aha! moment — and then the specifics. Here’s the difference:
I know which approach keeps my curiosity and enthusiasm. The learning strategy is the ADEPT Method:

Learning isn’t about memorizing facts to pass a test. It’s about unlocking the joy of discovery when an idea finally makes sense. If this approach resonates with you, welcome aboard.

About Kalid Azad

I enjoyed math until a poorly-taught class nearly destroyed that passion. A last-minute Aha! moment showed me math could make sense, even be enjoyable, when presented with:

  • A friendly, curious attitude
  • A mix of intuitive and technical understanding
  • A focus on lasting insight

I share explanations that helped, hoping they help you too. I’m thrilled that Better Explained now reaches millions every year, and has appeared in blogs for the New York Times and Scientific American. Large Massive 20-150 Grams Rare Authentic Real Meteorite, Campo

Popular Articles

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ADEPT method

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Vocabulary for thinking

Math Intuition

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Pencil, Then Ink

Don't hide the process


Useful, even if "wrong"


Simplify ideas to a caricature

Intuition Isn't Optional

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Arithmetic & Numbers

Mental Math Shortcuts

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Sum 1 to 100

Rearrange to simplify

Visual Arithmetic

Every operation is a transformation

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Number Systems

When the odometer ticks over

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Modular Arithmetic

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Algebra & Counting


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Atoms within numbers

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Factoring Equations

Break down the tepee

Parametric Equations

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Pythagorean Theorem

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Pythagorean Rescale

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Precalculus & Trigonometry


Angles from the mover’s perspective

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Surround that critter

Sine Waves

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The Number e

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Natural Log

Time needed to grow

Imaginary Numbers

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Complex Numbers

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Law of Cosines

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Draw the circles yourself.

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Extra info? Adjust the odds.

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Calculus Course

Calculus Guide

Learn the basics, fast.

Lesson 1

1-Minute Summary

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X-Ray Vision

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3D intuition

Lesson 4

Integrals, Derivatives

Lesson 5

Computer Notation

Lesson 6

Improved Algebra

Lesson 7

Linear Changes

Lesson 8

Squared Changes

Lesson 9


Lesson 10


Lesson 11

Fundamental Theorem of Calculus

Lesson 12

Rules: Add, Multiply, Invert

Lesson 13

Patterns In the Rules

Lesson 14

Rules: Powers, Division

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Archimedes' Formulas

Calculus Summary

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Calculus (Articles)

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Derivatives II

Imagine linked machines

Derivatives III

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Calculus Bank Account

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Integral of sin

Whoa: the horizontal change

Taylor Series

DNA of a function

Vector Calculus

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Total twist, twist at a point

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Microwave the doughboy, quick

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Follow the best tradeoff


Amount of bananas crossing a surface


Flux per unit volume

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Mario Kart speed boost

Cross Product

All the uneven parts

Engineering / University Math

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Math with mini-spreadsheets

Euler’s Formula

Imaginary exponents make circles

Fourier Transform

Patterns have circular ingredients


Fancy, programmable multiplication

Programming Tools

Version Control

Track files over time

Distributed VCS

Pass around changes

Git Insights

#1: There's a staging area

GDB Debugging

A quickstart guide

Web Development

Faster Javascript

Minify, compress, move to end

HTTP Caching

Don't redownload until expired

Gzip Compression

Zip files before sending

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Understanding MVC

Fat models, thin controller, thin view

Javascript Reference

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Treat a script as data

XSRF Attacks

Attacker spoofs a legit request

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Use firebug

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Low-level Programming


You'll never run out. Ever.

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Rule of 72

time = 72/interest

Pareto Principle

Sometimes 80% is enough

Stock Market

A transparent store

Accounting Basics

Everything is owned by someone

Interest Rates

A formula for every type of interest

Debt & Leverage

Invested debt multiplies return

Assorted Musings

Know Thyself

If you're Hulk, be Hulk.

Simplicity vs. Complexity

Complexity, not power, is the enemy.

Notes on Happiness

Passion, foolishness, dancing

Brevity is Beautiful

Zero guilt.