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So far kalid has created 165 blog entries.

Colorized Math Equations

Learning Tip: Seek Math Wisdom, Not Facts

Learning Math With Psychological Safety

Surely You’re Joking Mr. Feynman (Book Discussion)

Why do we multiply combinations?

Quick Insight: Subtracting Negative Numbers

Zen and the Art of Learning Math (Book Discussion)

Learning Gotcha: How We Misunderstood Schrödinger’s Cat

Math Learning Tip: Experience Ideas Directly

Interview with MetaLearn (How to Get Better at Math)

Intuition For The Golden Ratio

Understanding Discrete vs. Continuous Growth

How to Add 1 through 100 using Calculus

Interview with Developer Tea

Life Lessons After 10 Years of BetterExplained.com

Learning Math (Mega Man vs. Tetris)

Math Proofs vs. Explanations (aka Nutrition vs. Taste)

Math Learning Tip: Find An Idea’s True Name

A Programmer’s Intuition for Matrix Multiplication

Studying a Course (Machine Learning) with the ADEPT Method

The Math Inside the US Highway System

Quick Insight: Easier Arithmetic With Calculus

Empathy-Driven Mathematics

Abstraction Practice: Calculus Graphs

Learning to Learn: Math Abstraction

Analogy: The Calculus Camera

Learning Tip: Fix the Limiting Factor

Different Interpretations for the Number Zero

Honest and Realistic Guides for Learning

BetterExplained Podcast Interview with Developer Tea

Site Update: New Look & Mission

Easy Trig Identities With Euler’s Formula

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

Avoiding The Adjective Fallacy

Learning To Learn: Intuition Isn’t Optional

Vector Calculus: Understanding the Cross Product

Intuition For The Law Of Cosines

Intuition For The Law Of Sines

Learn Difficult Concepts with the ADEPT Method

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 Think With Exponents And Logarithms

Understand Ratios with “Oomph” and “Often”

How To Learn Trigonometry Intuitively

Go beyond SOH-CAH-TOA and visualize trig.

Site Update: New Design + Intuition Cheatsheet

A Quick Intuition For Parametric Equations

BetterExplained Calculus Course Now Available (Public Beta)

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.

Print Edition of “Math, Better Explained” Now Available

I'm thrilled to announce the print edition of [*Math, Better Explained*](http://bit.ly/MathBetterExplainedPrint) is available on Amazon: With the magic of print-on-demand, you can order the book with overnight shipping (Amazon Prime!), and be reading full-color insights tomorrow. Yowza.

An Intuitive Introduction To Limits

Understanding Bayes Theorem With Ratios

An Interactive Guide To The Fourier Transform

An Intuitive Guide to Linear Algebra

Math As Language: Understanding the Equals Sign

Why Do We Learn Math?

A Brief Introduction to Probability & Statistics

Understanding Algebra: Why do we factor equations?

Finding Unity in the Math Wars

I usually avoid current events, but recent [skirmishes](http://devlinsangle.blogspot.com/2012/07/cant-we-all-get-along.html) in the math world prompted me to chime in. To recap, there've been heated discussions about math education and the role of online resources like Khan Academy.

Sign Up for the BetterExplained Email List

Hi all! I’m starting an email list for BetterExplained readers and everyone interested in deep, intuitive learning. Sign up with the form below...

How To Understand Derivatives: The Quotient Rule, Exponents, and Logarithms

How To Understand Derivatives: The Product, Power & Chain Rules

Learning To Learn: Embrace Analogies

Site Update: Ahas and FAQs for articles

I've just added a new feature to the site: an Aha / FAQ section for each article. You can add an aha! moment or question, and vote / discuss them individually. This extends [aha.betterexplained.com](http://betterexplained.com/articles/share-your-insights-aha-betterexplained-com-beta/), making mini-posts for key ideas in an article.

Calculus: Building Intuition for the Derivative

Vector Calculus: Understanding the Dot Product

Using Logarithms in the Real World

Math, Better Explained available on the Kindle Store!

Hi all, I wanted to announce that Math, Better Explained is available on the Kindle store! If you’re looking for a digital gift this holiday season, I know just the ticket :).

Intuition, Details and the Bow/Arrow Metaphor

Understanding Pythagorean Distance and the Gradient

Site updates for BetterExplained.com

Understanding Why Complex Multiplication Works

Share your insights: aha.betterexplained.com (beta)

Intuitive Understanding of Sine Waves

Understanding Calculus With A Bank Account Metaphor

Understanding Why Similarity Works

Surprising Patterns in the Square Numbers (1, 4, 9, 16…)

Intuitive Understanding Of Euler’s Formula

Math Webinar Sat 6/19/2010 @ 2pm EST

Brevity Is Beautiful

Aha! Moments When Learning Git

Fun With Modular Arithmetic

Learning To Learn: Pencil, Then Ink

A Friendly Chat About Whether 0.999… = 1

Why Do We Need Limits and Infinitesimals?

A BetterExplained Guide To Calculus

Navigate a Grid Using Combinations And Permutations

Turn ‘Huh?’ to Aha! and Build Lasting Math Insight

Understanding the Monty Hall Problem

A Calculus Analogy: Integrals as Multiplication

Learning How to Count (Avoiding The Fencepost Problem)

A Simple Introduction To Computer Networking

Understanding Exponents (Why does 0^0 = 1?)

Developing Your Intuition For Math

Understanding Debt, Risk and Leverage

Share your 'Aha's: links.betterexplained.com

Learning Calculus: Overcoming Our Artificial Need for Precision

Intuitive Guide to Angles, Degrees and Radians

Prehistoric Calculus: Discovering Pi

A Gentle Introduction To Learning Calculus

How To Make a Bookmarklet For Your Web Application

How To Analyze Data Using the Average

How To Understand Combinations Using Multiplication

Rescaling the Pythagorean Theorem

How to Develop a Sense of Scale

A Visual Guide to Simple, Compound and Continuous Interest Rates

Intuitive Arithmetic With Complex Numbers

A Visual, Intuitive Guide to Imaginary Numbers

Slogan Contest: The Winners Are In

Rethinking Arithmetic: A Visual Guide

A Quirky Introduction To Number Systems

Slogan Contest: Help describe this site!

How to Develop a Mindset for Math

Understanding Accounting Basics (ALOE and Balance Sheets)

What You Should Know About The Stock Market

How To Measure Any Distance With The Pythagorean Theorem

Surprising Uses of the Pythagorean Theorem

Intro to Distributed Version Control (Illustrated)

What do you want Better Explained?

A Visual Guide to Version Control

Another Look at Prime Numbers

Intermediate Rails: Understanding Models, Views and Controllers

Build a site you (and your readers) will love

Starting Ruby on Rails: What I Wish I Knew

Demystifying the Natural Logarithm (ln)

Astounding Examples of Innovation from Japan

An Intuitive (and Short) Explanation of Bayes’ Theorem

An Intuitive Guide To Exponential Functions & e

Understanding the Birthday Paradox

The Quick Guide to GUIDs

How To Optimize Your Site With HTTP Caching

How To Optimize Your Site With GZIP Compression

How To Debug Web Applications With Firefox

Surviving (and thriving) on your own: Know Thyself

Understanding the Pareto Principle (The 80/20 Rule)

Combining Simplicity and Complexity

Speed Up Your Javascript, Part 2: Downloadable Examples!

A Simple, Comprehensive Overview of Javascript

Speed Up Your Javascript Load Time

Vector Calculus: Understanding Circulation and Curl

Vector Calculus: Understanding the Gradient

Marketing Lessons from InstaCalc.com

Techniques for Adding the Numbers 1 to 100

Easy Permutations and Combinations

Logical fallacy: popularity is not quality

Understanding Quake’s Fast Inverse Square Root

Keeping your data backed up

The Rule of 72

Mental Math Shortcuts

Swap two variables using XOR

Using JSON to Exchange Data

Collected Notes on Success and Happiness

Gmail Contacts Flaw: Overview and Suggestions

Types of Graphs

Number Systems and Bases

Law of Unintended Consequences

Getting Going with WordPress

Programming Gotchas

DNS Cache Poisoning

Sorting Algorithms

Unicode and You

A little diddy about binary file formats

Debuggers and Symbol Tables

Debugging with GDB

Vector Calculus: Understanding Divergence

Understanding Big and Little Endian Byte Order

Vector Calculus: Understanding Flux

Welcome to BetterExplained!