# kalid

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So far kalid has created 145 blog entries.

## The Math Inside the US Highway System

August 11th, 2016|

July 28th, 2016|

July 8th, 2016|

June 22nd, 2016|

May 28th, 2016|

May 17th, 2016|

May 4th, 2016|

## Different Interpretations for the Number Zero

April 21st, 2016|

April 9th, 2016|

April 6th, 2016|

## Site Update: New Look & Mission

March 20th, 2016|

## Easy Trig Identities With Euler’s Formula

November 4th, 2015|

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

September 27th, 2015|

June 4th, 2015|

## Vector Calculus: Understanding the Cross Product

April 15th, 2015|

## Intuition For The Law Of Cosines

November 13th, 2014|

## Intuition For The Law Of Sines

October 21st, 2014|

## Learn Difficult Concepts with the ADEPT Method

October 10th, 2014|

## Learning math? Think like a cartoonist.

July 24th, 2014|

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.

June 16th, 2014|

## Understand Ratios with “Oomph” and “Often”

April 14th, 2014|

## How To Learn Trigonometry Intuitively

February 24th, 2014|

Go beyond SOH-CAH-TOA and visualize trig.

## Site Update: New Design + Intuition Cheatsheet

February 14th, 2014|

## A Quick Intuition For Parametric Equations

January 15th, 2014|

## BetterExplained Calculus Course Now Available (Public Beta)

November 25th, 2013|

## It’s Time For An Intuition-First Calculus Course

July 26th, 2013|

**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

May 29th, 2013|

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

April 15th, 2013|

March 1st, 2013|

## An Interactive Guide To The Fourier Transform

December 19th, 2012|

## An Intuitive Guide to Linear Algebra

October 9th, 2012|

## Math As Language: Understanding the Equals Sign

September 24th, 2012|

## Why Do We Learn Math?

September 14th, 2012|

## A Brief Introduction to Probability & Statistics

September 5th, 2012|

## Understanding Algebra: Why do we factor equations?

August 30th, 2012|

## Finding Unity in the Math Wars

August 21st, 2012|

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.

June 20th, 2012|

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

June 12th, 2012|

May 11th, 2012|

## Learning To Learn: Embrace Analogies

April 24th, 2012|

## Site Update: Ahas and FAQs for articles

April 12th, 2012|

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

March 29th, 2012|

## Vector Calculus: Understanding the Dot Product

February 22nd, 2012|

## Using Logarithms in the Real World

January 30th, 2012|

## Math, Better Explained available on the Kindle Store!

December 9th, 2011|

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

November 16th, 2011|

## Understanding Pythagorean Distance and the Gradient

November 4th, 2011|

October 26th, 2011|

## Understanding Why Complex Multiplication Works

August 3rd, 2011|

June 2nd, 2011|

## Intuitive Understanding of Sine Waves

April 17th, 2011|

## Understanding Calculus With A Bank Account Metaphor

March 16th, 2011|

## Understanding Why Similarity Works

February 1st, 2011|

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

October 15th, 2010|

July 19th, 2010|

June 17th, 2010|

## Brevity Is Beautiful

April 22nd, 2010|

## Aha! Moments When Learning Git

March 10th, 2010|

## Fun With Modular Arithmetic

February 1st, 2010|

## Learning To Learn: Pencil, Then Ink

January 13th, 2010|

## A Friendly Chat About Whether 0.999… = 1

November 18th, 2009|

## Why Do We Need Limits and Infinitesimals?

November 13th, 2009|

## A BetterExplained Guide To Calculus

November 8th, 2009|

## Navigate a Grid Using Combinations And Permutations

October 20th, 2009|

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

September 15th, 2009|

## Understanding the Monty Hall Problem

September 4th, 2009|

July 15th, 2009|

## Learning How to Count (Avoiding The Fencepost Problem)

April 28th, 2009|

## A Simple Introduction To Computer Networking

March 16th, 2009|

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

February 17th, 2009|

## Developing Your Intuition For Math

January 8th, 2009|

## Understanding Debt, Risk and Leverage

November 17th, 2008|

October 10th, 2008|

## Learning Calculus: Overcoming Our Artificial Need for Precision

August 21st, 2008|

July 9th, 2008|

May 29th, 2008|

May 2nd, 2008|

## How To Make a Bookmarklet For Your Web Application

April 16th, 2008|

## How To Analyze Data Using the Average

March 14th, 2008|

## How To Understand Combinations Using Multiplication

February 25th, 2008|

## Rescaling the Pythagorean Theorem

February 16th, 2008|

## How to Develop a Sense of Scale

January 30th, 2008|

## A Visual Guide to Simple, Compound and Continuous Interest Rates

January 14th, 2008|

## Intuitive Arithmetic With Complex Numbers

January 2nd, 2008|

## A Visual, Intuitive Guide to Imaginary Numbers

December 21st, 2007|

## Slogan Contest: The Winners Are In

December 18th, 2007|

## Rethinking Arithmetic: A Visual Guide

December 13th, 2007|

## A Quirky Introduction To Number Systems

December 7th, 2007|

## Slogan Contest: Help describe this site!

December 5th, 2007|

## How to Develop a Mindset for Math

November 26th, 2007|

## Understanding Accounting Basics (ALOE and Balance Sheets)

November 20th, 2007|

## What You Should Know About The Stock Market

November 14th, 2007|

## How To Measure Any Distance With The Pythagorean Theorem

November 5th, 2007|

## Surprising Uses of the Pythagorean Theorem

October 24th, 2007|

## Intro to Distributed Version Control (Illustrated)

October 15th, 2007|

## What do you want Better Explained?

October 7th, 2007|

## A Visual Guide to Version Control

September 27th, 2007|

## Another Look at Prime Numbers

September 9th, 2007|

## Intermediate Rails: Understanding Models, Views and Controllers

August 11th, 2007|

August 4th, 2007|

June 16th, 2007|

May 20th, 2007|

May 11th, 2007|

May 6th, 2007|

## An Intuitive Guide To Exponential Functions & e

May 1st, 2007|

April 26th, 2007|

## The Quick Guide to GUIDs

April 18th, 2007|

April 7th, 2007|

April 4th, 2007|

## How To Debug Web Applications With Firefox

March 19th, 2007|

## Surviving (and thriving) on your own: Know Thyself

March 12th, 2007|

March 8th, 2007|

## Combining Simplicity and Complexity

March 2nd, 2007|

February 25th, 2007|

## A Simple, Comprehensive Overview of Javascript

February 23rd, 2007|

February 21st, 2007|

## Vector Calculus: Understanding Circulation and Curl

February 19th, 2007|

## Vector Calculus: Understanding the Gradient

February 17th, 2007|

## Marketing Lessons from InstaCalc.com

February 16th, 2007|

## Techniques for Adding the Numbers 1 to 100

February 13th, 2007|

## Easy Permutations and Combinations

February 11th, 2007|

## Logical fallacy: popularity is not quality

February 9th, 2007|

## Understanding Quake’s Fast Inverse Square Root

February 5th, 2007|

## Keeping your data backed up

January 29th, 2007|

## The Rule of 72

January 25th, 2007|

## Mental Math Shortcuts

January 23rd, 2007|

## Swap two variables using XOR

January 16th, 2007|

## Using JSON to Exchange Data

January 11th, 2007|

## Collected Notes on Success and Happiness

January 10th, 2007|

## Gmail Contacts Flaw: Overview and Suggestions

January 1st, 2007|

## Types of Graphs

December 31st, 2006|

## Number Systems and Bases

December 29th, 2006|

## Law of Unintended Consequences

December 28th, 2006|

## Getting Going with WordPress

December 28th, 2006|

## Programming Gotchas

December 28th, 2006|

## DNS Cache Poisoning

December 28th, 2006|

## Sorting Algorithms

December 28th, 2006|

## Unicode and You

December 28th, 2006|

## A little diddy about binary file formats

December 28th, 2006|

## Debuggers and Symbol Tables

December 28th, 2006|

## Debugging with GDB

October 31st, 2006|

## Vector Calculus: Understanding Divergence

September 20th, 2006|

## Understanding Big and Little Endian Byte Order

September 19th, 2006|

## Vector Calculus: Understanding Flux

September 16th, 2006|

## Welcome to BetterExplained!

September 13th, 2006|