# 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. Read more…

## Intuitive Learning

## ADEPT method

Learning starts with an analogy.## Why Learn Math?

Vocabulary for thinking## Math Intuition

Start with the cat, not its DNA## Bow & Arrow Intuition

First, have a good shot.## Pencil, Then Ink

Don't hide the process## Analogies

Useful, even if "wrong"## Cartoons

Simplify ideas to a caricature## Intuition Isn't Optional

The recipe for knowledge that lasts.## Arithmetic & Numbers

## Mental Math Shortcuts

A few memorable conversions## Sum 1 to 100

Rearrange to simplify## Visual Arithmetic

Every operation is a transformation## Sense of Scale

Bring large numbers down to everyday terms## Fencepost Problem

Counting spans or points?## Number Systems

When the odometer ticks over## Everyday Logarithms

Counting digits## Modular Arithmetic

Variations on clocks## Algebra & Counting

## Combinations

Multiply possibilities, divide redundancies## Primes

Atoms within numbers## The Equals Sign

Set, check, or define?## Factoring Equations

Break down the tepee## Parametric Equations

Extract the true cause## Types of Graphs

Map (distance matters) or non-map## Square Numbers

Use geometry, algebra, calculus## Navigate a Grid

Convert decisions to letters & permute## Combinations & Multiplication

Choices multiply.## Ratios

How much oomph, how often?## Quadratic Formula

Rearrange a square## Polynomial Intuition

Decmials, interactions, function DNA## Geometry

## Pythagorean Theorem

How every shape changes## Pythagorean Distance

Compare any quantities## Similarity

Step back. Smaller shape, same ratios.## Pythagorean Rescale

Work from a unit triangle## Precalculus & Trigonometry

## Radians

Angles from the mover’s perspective## Finding Pi

Surround that critter## Sine Waves

The natural sway found in circles, springs## The Number e

Perfectly smooth growth## Natural Log

Time needed to grow## Imaginary Numbers

Numbers can rotate## Complex Numbers

Arithmetic goes 2d## Complex Multiplication

Scale & rotate## Exponents

Grow numbers in the expand-o-tron## Think With Exponents

Logs are causes, exponents are effects## Trigonometry

Visualize a dome, wall, and ceiling## Law of Sines

Every angle has an equal perspective.## Law of Cosines

Keep track of interacting parts.## Trig Identities

Draw the circles yourself.## Statistics

## Statistics

See footprints, guess the animal## Averages

"Typical" depends on the relationship## Birthday Paradox

23 people, many possibilities## Bayes Theorem

Extra info? Adjust the odds.## Short Bayes’ Theorem

Adjust for false positives## Monty Hall

Original door vs. best of the other two## Calculus Course

## Calculus Guide

Learn the basics, fast.## Lesson 1

1-Minute Summary## Lesson 2

X-Ray Vision## Lesson 3

3D intuition## Lesson 4

Integrals, Derivatives## Lesson 5

Computer Notation## Lesson 6

Improved Algebra## Lesson 7

Linear Changes## Lesson 8

Squared Changes## Lesson 9

Infinity## Lesson 10

Derivatives## Lesson 11

Fundamental Theorem of Calculus## Lesson 12

Rules: Add, Multiply, Invert## Lesson 13

Patterns In the Rules## Lesson 14

Rules: Powers, Division## Lesson 15

Archimedes' Formulas## Calculus Summary

The big insights. All together now.## Calculus (Articles)

## 1 Minute Calculus

Analyze patterns with x-ray and time-lapse vision## 0.999… = 1?

What's your number system?## Limits

Guess what happened when you blinked## Limits / Infinitesimals

Make a model perfect## Integration

Piece-by-piece multiplication## Derivative Intro

Measurements depend on the instrument## Derivatives II

Imagine linked machines## Derivatives III

Quotient, exponents, logs## Calculus Bank Account

Raises change income, changing the balance## Integral of sin

Whoa: the*horizontal*change