About kalid

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So far kalid has created 150 blog entries.

Learning Math (Mega Man vs. Tetris)

November 21st, 2016|

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

November 1st, 2016|

Math Learning Tip: Find An Idea’s True Name

September 30th, 2016|

A Programmer’s Intuition for Matrix Multiplication

September 14th, 2016|

Studying a Course (Machine Learning) with the ADEPT Method

August 29th, 2016|

The Math Inside the US Highway System

August 11th, 2016|

Quick Insight: Easier Arithmetic With Calculus

July 28th, 2016|

Empathy-Driven Mathematics

July 8th, 2016|

Abstraction Practice: Calculus Graphs

June 22nd, 2016|

Learning to Learn: Math Abstraction

May 28th, 2016|

Analogy: The Calculus Camera

May 17th, 2016|

Learning Tip: Fix the Limiting Factor

May 4th, 2016|

Different Interpretations for the Number Zero

April 21st, 2016|

Honest and Realistic Guides for Learning

April 9th, 2016|

BetterExplained Podcast Interview with Developer Tea

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.

Avoiding The Adjective Fallacy

September 27th, 2015|

Learning To Learn: Intuition Isn’t Optional

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.

How To Think With Exponents And Logarithms

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|

Understanding Bayes Theorem With Ratios

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.

Sign Up for the BetterExplained Email List

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...

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

June 12th, 2012|

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

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|

Site updates for BetterExplained.com

October 26th, 2011|

Understanding Why Complex Multiplication Works

August 3rd, 2011|

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

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|

Intuitive Understanding Of Euler’s Formula

July 19th, 2010|

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

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 12th, 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|

A Calculus Analogy: Integrals as Multiplication

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|

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

October 10th, 2008|

Learning Calculus: Overcoming Our Artificial Need for Precision

August 21st, 2008|

Intuitive Guide to Angles, Degrees and Radians

July 9th, 2008|

Prehistoric Calculus: Discovering Pi

May 29th, 2008|

A Gentle Introduction To Learning Calculus

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 13th, 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|

Build a site you (and your readers) will love

August 4th, 2007|

Starting Ruby on Rails: What I Wish I Knew

June 16th, 2007|

Demystifying the Natural Logarithm (ln)

May 20th, 2007|

Astounding Examples of Innovation from Japan

May 11th, 2007|

An Intuitive (and Short) Explanation of Bayes’ Theorem

May 6th, 2007|

An Intuitive Guide To Exponential Functions & e

May 1st, 2007|

Understanding the Birthday Paradox

April 26th, 2007|

The Quick Guide to GUIDs

April 18th, 2007|

How To Optimize Your Site With HTTP Caching

April 7th, 2007|

How To Optimize Your Site With GZIP Compression

April 4th, 2007|

How To Debug Web Applications With Firefox

March 19th, 2007|

Surviving (and thriving) on your own: Know Thyself

March 12th, 2007|

Understanding the Pareto Principle (The 80/20 Rule)

March 8th, 2007|

Combining Simplicity and Complexity

March 2nd, 2007|

Speed Up Your Javascript, Part 2: Downloadable Examples!

February 25th, 2007|

A Simple, Comprehensive Overview of Javascript

February 23rd, 2007|

Speed Up Your Javascript Load Time

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 22nd, 2007|

Swap two variables using XOR

January 16th, 2007|

Using JSON to Exchange Data

January 11th, 2007|

Collected Notes on Success and Happiness

January 9th, 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|