New here? Here’s a few popular articles to get you started:
 Developing Math Intuition
 Imaginary Numbers
 Exponents and the Number e
 The Natural Logarithm
 Euler’s Formula
 The Fourier Transform
 Introduction To Calculus
 Bayes’ Theorem
 Linear Algebra Intro
 Intuitive Trigonometry
I have a list of translated articles, just contact me if you have any to add.
Post Series

Business
 The Rule of 72 (January 25, 2007)
 Understanding Accounting Basics (ALOE and Balance Sheets) (November 20, 2007)
 Understanding Debt, Risk and Leverage (November 17, 2008)
 What You Should Know About The Stock Market (November 14, 2007)
 Understanding the Pareto Principle (The 80/20 Rule) (March 8, 2007)
 Combining Simplicity and Complexity (March 2, 2007)

Calculus
 A Gentle Introduction To Learning Calculus (May 2, 2008)
 Understanding Calculus With A Bank Account Metaphor (March 16, 2011)
 Prehistoric Calculus: Discovering Pi (May 29, 2008)
 A Calculus Analogy: Integrals as Multiplication (July 15, 2009)
 Calculus: Building Intuition for the Derivative (March 29, 2012)
 How To Understand Derivatives: The Product, Power & Chain Rules (May 11, 2012)
 How To Understand Derivatives: The Quotient Rule, Exponents, and Logarithms (June 12, 2012)
 An Intuitive Introduction To Limits (April 15, 2013)
 Intuition for Taylor Series (DNA Analogy) (January 23, 2019)
 Why Do We Need Limits and Infinitesimals? (November 12, 2009)
 Learning Calculus: Overcoming Our Artificial Need for Precision (August 21, 2008)
 A Friendly Chat About Whether 0.999... = 1 (November 18, 2009)
 Analogy: The Calculus Camera (May 17, 2016)
 Abstraction Practice: Calculus Graphs (June 22, 2016)
 Quick Insight: Easier Arithmetic With Calculus (July 28, 2016)
 How to Add 1 through 100 using Calculus (February 17, 2017)
 Integral of Sin(x): Geometric Intuition (November 19, 2019)

Computer Science
 Number Systems and Bases (December 29, 2006)
 The Quick Guide to GUIDs (April 18, 2007)
 Understanding Quake's Fast Inverse Square Root (February 5, 2007)
 A Simple Introduction To Computer Networking (March 16, 2009)
 Swap two variables using XOR (January 16, 2007)
 Understanding Big and Little Endian Byte Order (September 19, 2006)
 Unicode and You (December 28, 2006)
 A little diddy about binary file formats (December 28, 2006)
 Sorting Algorithms (December 28, 2006)

Developer Tools
 A Visual Guide to Version Control (September 27, 2007)
 Intro to Distributed Version Control (Illustrated) (October 15, 2007)
 Aha! Moments When Learning Git (March 10, 2010)

Essays
 Developing Your Intuition For Math (January 8, 2009)
 Why Do We Learn Math? (September 14, 2012)
 How to Develop a Mindset for Math (November 26, 2007)
 Learning math? Think like a cartoonist. (July 24, 2014)
 Math As Language: Understanding the Equals Sign (September 24, 2012)
 Avoiding The Adjective Fallacy (September 27, 2015)
 Finding Unity in the Math Wars (August 21, 2012)
 Brevity Is Beautiful (April 22, 2010)
 Learn Difficult Concepts with the ADEPT Method (October 10, 2014)
 Intuition, Details and the Bow/Arrow Metaphor (November 16, 2011)
 Learning To Learn: Intuition Isn't Optional (June 4, 2015)
 Learning To Learn: Embrace Analogies (April 24, 2012)
 Learning To Learn: Pencil, Then Ink (January 13, 2010)
 Learning to Learn: Math Abstraction (May 28, 2016)
 Learning Tip: Fix the Limiting Factor (May 4, 2016)
 Honest and Realistic Guides for Learning (April 9, 2016)
 EmpathyDriven Mathematics (July 8, 2016)
 Studying a Course (Machine Learning) with the ADEPT Method (August 29, 2016)
 Math and Analogies (May 3, 2018)
 Colorized Math Equations (December 12, 2017)
 Analogy: Math and Cooking (February 28, 2019)
 Learning Math (Mega Man vs. Tetris) (November 21, 2016)

Interviews & Discussions
 Life Lessons After 10 Years of BetterExplained.com (January 11, 2017)
 BetterExplained Podcast Interview with Developer Tea (April 6, 2016)
 Interview with MetaLearn (How to Get Better at Math) (April 11, 2017)
 Interview with Developer Tea (February 1, 2017)
 Newton's Law of Gravity (Metalearn Podcast) (February 14, 2018)
 Einstein's Theory of Special Relativity (MetaLearn Podcast) (March 30, 2018)
 Zen and the Art of Learning Math (Book Discussion) (June 30, 2017)
 Surely You're Joking Mr. Feynman (Book Discussion) (September 13, 2017)

Math  Advanced Topics
 A Visual, Intuitive Guide to Imaginary Numbers (December 21, 2007)
 Intuitive Arithmetic With Complex Numbers (January 2, 2008)
 Understanding Why Complex Multiplication Works (August 3, 2011)
 Intuitive Guide to Angles, Degrees and Radians (July 9, 2008)
 Intuitive Understanding Of Euler's Formula (July 19, 2010)
 An Interactive Guide To The Fourier Transform (December 19, 2012)
 Intuitive Guide to Convolution (November 23, 2020)
 Intuitive Understanding of Sine Waves (April 17, 2011)
 An Intuitive Guide to Linear Algebra (October 9, 2012)
 A Programmer's Intuition for Matrix Multiplication (September 14, 2016)
 Imaginary Multiplication vs. Imaginary Exponents (August 31, 2018)
 Intuitive Guide to Hyperbolic Functions (April 26, 2021)

Math  Algebra
 Understanding Algebra: Why do we factor equations? (August 30, 2012)
 A Quick Intuition For Parametric Equations (January 15, 2014)
 Intuition for the Quadratic Formula (May 1, 2019)
 Intuition for SlopeIntercept Form (July 13, 2018)
 Intuition For Graphed Functions (November 1, 2018)
 Intuition For Polynomials (March 26, 2019)

Math  Combinations
 Easy Permutations and Combinations (February 11, 2007)
 Navigate a Grid Using Combinations And Permutations (October 20, 2009)
 How To Understand Combinations Using Multiplication (February 25, 2008)
 Why do we multiply combinations? (August 15, 2017)

Math  Essentials
 Mental Math Shortcuts (January 22, 2007)
 Understand Ratios with "Oomph" and "Often" (April 14, 2014)
 How to Develop a Sense of Scale (January 30, 2008)

Math  Exponents & Logs
 An Intuitive Guide To Exponential Functions & e (May 1, 2007)
 Demystifying the Natural Logarithm (ln) (May 20, 2007)
 A Visual Guide to Simple, Compound and Continuous Interest Rates (January 13, 2008)
 Common Definitions of e (Colorized) (January 29, 2018)
 Understanding Exponents (Why does 0^0 = 1?) (February 17, 2009)
 Using Logarithms in the Real World (January 30, 2012)
 How To Think With Exponents And Logarithms (June 16, 2014)
 Understanding Discrete vs. Continuous Growth (March 9, 2017)
 What does an exponent really mean? (December 6, 2018)
 Q: Why is e special? (2.718..., not 2, 3.7 or another number?) (August 3, 2018)

Math  Geometry
 How To Measure Any Distance With The Pythagorean Theorem (November 5, 2007)
 Surprising Uses of the Pythagorean Theorem (October 24, 2007)
 Pythagorean Theorem As Sweeping Area (June 19, 2019)
 Rescaling the Pythagorean Theorem (February 16, 2008)
 Understanding Why Similarity Works (February 1, 2011)

Math  Numbers
 Techniques for Adding the Numbers 1 to 100 (February 13, 2007)
 Rethinking Arithmetic: A Visual Guide (December 13, 2007)
 Quick Insight: Intuitive Meaning of Division (February 28, 2018)
 Quick Insight: Subtracting Negative Numbers (July 13, 2017)
 Surprising Patterns in the Square Numbers (1, 4, 9, 16…) (October 15, 2010)
 Fun With Modular Arithmetic (February 1, 2010)
 Learning How to Count (Avoiding The Fencepost Problem) (April 28, 2009)
 A Quirky Introduction To Number Systems (December 7, 2007)
 Another Look at Prime Numbers (September 9, 2007)
 Intuition For The Golden Ratio (April 3, 2017)
 Different Interpretations for the Number Zero (April 21, 2016)

Math  Trigonometry
 How To Learn Trigonometry Intuitively (February 24, 2014)
 Easy Trig Identities With Euler's Formula (November 4, 2015)
 Intuition For The Law Of Cosines (November 13, 2014)
 Intuition For The Law Of Sines (October 21, 2014)
 How to Learn Trig Derivatives (August 3, 2022)

Statistics
 A Brief Introduction to Probability & Statistics (September 5, 2012)
 An Intuitive (and Short) Explanation of Bayes' Theorem (May 6, 2007)
 Understanding Bayes Theorem With Ratios (March 1, 2013)
 Understanding the Monty Hall Problem (September 4, 2009)
 How To Analyze Data Using the Average (March 14, 2008)
 Understanding the Birthday Paradox (April 26, 2007)

Vector Calculus
 Vector Calculus: Understanding the Dot Product (February 22, 2012)
 Vector Calculus: Understanding the Cross Product (April 15, 2015)
 Vector Calculus: Understanding Flux (September 16, 2006)
 Vector Calculus: Understanding Divergence (September 20, 2006)
 Vector Calculus: Understanding Circulation and Curl (February 19, 2007)
 Vector Calculus: Understanding the Gradient (February 17, 2007)
 Understanding Pythagorean Distance and the Gradient (November 4, 2011)

Web Development
 Starting Ruby on Rails: What I Wish I Knew (June 16, 2007)
 Intermediate Rails: Understanding Models, Views and Controllers (August 11, 2007)
 A Simple, Comprehensive Overview of Javascript (February 23, 2007)
 Using JSON to Exchange Data (January 11, 2007)
 How To Make a Bookmarklet For Your Web Application (April 16, 2008)

Website Optimization
 How To Optimize Your Site With HTTP Caching (April 7, 2007)
 How To Optimize Your Site With GZIP Compression (April 4, 2007)
 How To Debug Web Applications With Firefox (March 19, 2007)
 Speed Up Your Javascript Load Time (February 21, 2007)
 Speed Up Your Javascript, Part 2: Downloadable Examples! (February 25, 2007)
Posts by Date
How to Learn Trig Derivatives
Aug 03 2022
Intuitive Guide to Hyperbolic Functions
Apr 26 2021
Intuitive Guide to Convolution
Nov 23 2020
Integral of Sin(x): Geometric Intuition
Nov 19 2019
Pythagorean Theorem As Sweeping Area
Jun 19 2019
Intuition for the Quadratic Formula
May 01 2019
Intuition For Polynomials
Mar 26 2019
Analogy: Math and Cooking
Feb 28 2019
Intuition for Taylor Series (DNA Analogy)
Jan 23 2019
What does an exponent really mean?
Dec 06 2018
Intuition For Graphed Functions
Nov 01 2018
Learning Tip: The 5 Second Gutcheck
Oct 02 2018
Imaginary Multiplication vs. Imaginary Exponents
Aug 31 2018
Intuition for SlopeIntercept Form
Jul 13 2018
Learning Math: Find The Implied Subject
Jun 14 2018
The Lesson and the Metalesson
May 09 2018
Math and Analogies
May 03 2018
Quick Insight: Intuitive Meaning of Division
Feb 28 2018
Newton’s Law of Gravity (Metalearn Podcast)
Feb 14 2018
Common Definitions of e (Colorized)
Jan 29 2018
Colorized Math Equations
Dec 12 2017
Learning Tip: Seek Math Wisdom, Not Facts
Oct 18 2017
Learning Math With Psychological Safety
Sep 19 2017
Why do we multiply combinations?
Aug 15 2017
Quick Insight: Subtracting Negative Numbers
Jul 13 2017
Math Learning Tip: Experience Ideas Directly
May 16 2017
Intuition For The Golden Ratio
Apr 03 2017
Understanding Discrete vs. Continuous Growth
Mar 09 2017
How to Add 1 through 100 using Calculus
Feb 17 2017
Interview with Developer Tea
Feb 01 2017
Learning Math (Mega Man vs. Tetris)
Nov 21 2016
Math Learning Tip: Find An Idea’s True Name
Sep 30 2016
The Math Inside the US Highway System
Aug 11 2016
Quick Insight: Easier Arithmetic With Calculus
Jul 28 2016
EmpathyDriven Mathematics
Jul 08 2016
Abstraction Practice: Calculus Graphs
Jun 22 2016
Learning to Learn: Math Abstraction
May 28 2016
Analogy: The Calculus Camera
May 17 2016
Learning Tip: Fix the Limiting Factor
May 04 2016
Different Interpretations for the Number Zero
Apr 21 2016
Honest and Realistic Guides for Learning
Apr 09 2016
Site Update: New Look & Mission
Mar 20 2016
Easy Trig Identities With Euler’s Formula
Nov 04 2015
Avoiding The Adjective Fallacy
Sep 27 2015
Learning To Learn: Intuition Isn’t Optional
Jun 04 2015
Vector Calculus: Understanding the Cross Product
Apr 15 2015
Intuition For The Law Of Cosines
Nov 13 2014
Intuition For The Law Of Sines
Oct 21 2014
Learn Difficult Concepts with the ADEPT Method
Oct 10 2014
Learning math? Think like a cartoonist.
Jul 24 2014
How To Think With Exponents And Logarithms
Jun 16 2014
Understand Ratios with “Oomph” and “Often”
Apr 14 2014
How To Learn Trigonometry Intuitively
Feb 24 2014
Site Update: New Design + Intuition Cheatsheet
Feb 14 2014
A Quick Intuition For Parametric Equations
Jan 15 2014
It’s Time For An IntuitionFirst Calculus Course
Jul 26 2013
An Intuitive Introduction To Limits
Apr 15 2013
Understanding Bayes Theorem With Ratios
Mar 01 2013
An Interactive Guide To The Fourier Transform
Dec 19 2012
An Intuitive Guide to Linear Algebra
Oct 09 2012
Math As Language: Understanding the Equals Sign
Sep 24 2012
Why Do We Learn Math?
Sep 14 2012
A Brief Introduction to Probability & Statistics
Sep 05 2012
Finding Unity in the Math Wars
Aug 21 2012
Sign Up for the BetterExplained Email List
Jun 20 2012
Learning To Learn: Embrace Analogies
Apr 24 2012
Site Update: Ahas and FAQs for articles
Apr 12 2012
Calculus: Building Intuition for the Derivative
Mar 29 2012
Vector Calculus: Understanding the Dot Product
Feb 22 2012
Using Logarithms in the Real World
Jan 30 2012
Intuition, Details and the Bow/Arrow Metaphor
Nov 16 2011
Site updates for BetterExplained.com
Oct 26 2011
Understanding Why Complex Multiplication Works
Aug 03 2011
Intuitive Understanding of Sine Waves
Apr 17 2011
Understanding Why Similarity Works
Feb 01 2011
Intuitive Understanding Of Euler’s Formula
Jul 19 2010
Math Webinar Sat 6/19/2010 @ 2pm EST
Jun 17 2010
Brevity Is Beautiful
Apr 22 2010
Aha! Moments When Learning Git
Mar 10 2010
Fun With Modular Arithmetic
Feb 01 2010
Learning To Learn: Pencil, Then Ink
Jan 13 2010
A Friendly Chat About Whether 0.999… = 1
Nov 18 2009
Why Do We Need Limits and Infinitesimals?
Nov 12 2009
A BetterExplained Guide To Calculus
Nov 08 2009
Understanding the Monty Hall Problem
Sep 04 2009
A Calculus Analogy: Integrals as Multiplication
Jul 15 2009
A Simple Introduction To Computer Networking
Mar 16 2009
Understanding Exponents (Why does 0^0 = 1?)
Feb 17 2009
Developing Your Intuition For Math
Jan 08 2009
Understanding Debt, Risk and Leverage
Nov 17 2008
Share your 'Aha's: links.betterexplained.com
Oct 10 2008
Intuitive Guide to Angles, Degrees and Radians
Jul 09 2008
Prehistoric Calculus: Discovering Pi
May 29 2008
A Gentle Introduction To Learning Calculus
May 02 2008
How To Analyze Data Using the Average
Mar 14 2008
Rescaling the Pythagorean Theorem
Feb 16 2008
How to Develop a Sense of Scale
Jan 30 2008
Intuitive Arithmetic With Complex Numbers
Jan 02 2008
A Visual, Intuitive Guide to Imaginary Numbers
Dec 21 2007
Slogan Contest: The Winners Are In
Dec 18 2007
Rethinking Arithmetic: A Visual Guide
Dec 13 2007
A Quirky Introduction To Number Systems
Dec 07 2007
Slogan Contest: Help describe this site!
Dec 04 2007
How to Develop a Mindset for Math
Nov 26 2007
What You Should Know About The Stock Market
Nov 14 2007
Surprising Uses of the Pythagorean Theorem
Oct 24 2007
What do you want Better Explained?
Oct 07 2007
A Visual Guide to Version Control
Sep 27 2007
Another Look at Prime Numbers
Sep 09 2007
Build a site you (and your readers) will love
Aug 04 2007
Starting Ruby on Rails: What I Wish I Knew
Jun 16 2007
Demystifying the Natural Logarithm (ln)
May 20 2007
Astounding Examples of Innovation from Japan
May 11 2007
An Intuitive Guide To Exponential Functions & e
May 01 2007
Understanding the Birthday Paradox
Apr 26 2007
The Quick Guide to GUIDs
Apr 18 2007
How To Optimize Your Site With HTTP Caching
Apr 07 2007
How To Optimize Your Site With GZIP Compression
Apr 04 2007
How To Debug Web Applications With Firefox
Mar 19 2007
Combining Simplicity and Complexity
Mar 02 2007
A Simple, Comprehensive Overview of Javascript
Feb 23 2007
Speed Up Your Javascript Load Time
Feb 21 2007
Vector Calculus: Understanding the Gradient
Feb 17 2007
Marketing Lessons from InstaCalc.com
Feb 16 2007
Techniques for Adding the Numbers 1 to 100
Feb 13 2007
Easy Permutations and Combinations
Feb 11 2007
Logical fallacy: popularity is not quality
Feb 09 2007
Understanding Quake’s Fast Inverse Square Root
Feb 05 2007
Keeping your data backed up
Jan 29 2007
The Rule of 72
Jan 25 2007
Mental Math Shortcuts
Jan 22 2007
Swap two variables using XOR
Jan 16 2007
Using JSON to Exchange Data
Jan 11 2007
Collected Notes on Success and Happiness
Jan 09 2007
Gmail Contacts Flaw: Overview and Suggestions
Jan 01 2007
Types of Graphs
Dec 31 2006
Number Systems and Bases
Dec 29 2006
Law of Unintended Consequences
Dec 28 2006
Getting Going with WordPress
Dec 28 2006
Programming Gotchas
Dec 28 2006
DNS Cache Poisoning
Dec 28 2006
Sorting Algorithms
Dec 28 2006
Unicode and You
Dec 28 2006
A little diddy about binary file formats
Dec 28 2006
Debuggers and Symbol Tables
Dec 28 2006
Debugging with GDB
Oct 31 2006
Vector Calculus: Understanding Divergence
Sep 20 2006
Understanding Big and Little Endian Byte Order
Sep 19 2006
Vector Calculus: Understanding Flux
Sep 16 2006
Welcome to Better Explained!
Sep 13 2006