If you’re looking for a digital gift this holiday season, I know just the ticket .

A lot of work was done to convert the original PDF but keep the image and equation formatting the same, and readable on eInk and color screens. Here’s the cover and what it looks like on a few different devices:

I’d like to thank everyone for their feedback and support! If you’ve already bought the PDF ebook, you should have received an update via email (I apologize for the improper formatting, and formatting, and formatting — I’ll stick to a blog post for today!).

Happy math,

-Kalid

• Be warm & friendly
• Be clean & readable (more whitespace & larger fonts)
• Be easy to skim & search (search results and posts have image previews)

BetterExplained isn’t an authority lecturing you on facts: it’s an excited friend sharing what actually helped when learning. I don’t want to give the impression of some all-knowing reference — it’s a journey of discovery.

The layout is new and kinks are likely — let me know if anything is off!

-Kalid

Why?

1. Writing articles hurts: research, collect thoughts, organize, filter the best, and write. This takes 20+ hours, and most articles languish half-done.

2. People don’t share “Ah, I get it!” moments on Wikipedia — that’s not its goal. Yet those personal insights are what make ideas click.

My goals:

• Collect insights as simple as tweets (“Imaginary numbers are regular numbers, rotated”)
• Categorize them by Wikipedia topic
• Use voting/comments to select the best insights to develop further (hacker news/reddit/stack overflow)
• Grow insights organically — an optional “details” section that can expand into an article (Wikipedia)
• Browse any topic or url and see the best insights for it

Distributed Learning

My friends suggested the term “distributed learning”. While understanding a topic is a personal journey, we can share what really, truly helped us “get” an idea.

For example: there was an excellent article on the Fourier Transform. One of the best parts:

He color coded the equation and made it a sentence. Why, oh why doesn’t every wiki math article have this? (Because it’s a reference, not a tutorial).

There are dozens of awesome techniques to help ideas click, and they need to be 1) exposed 2) filtered and 3) applied to topics.

Vision

I’m experimenting with ways to share insights. Some ideas:

Hacker-news like homepage to vote up popular insights:

While reading a page, keep insights on the “margin”:

While writing, have live-previews, TeX support, and edit multiple insights at once:

The ultimate dream:

• Small: Anyone can blast out insights without 90% being forgotten in text files (my personal use case)
• Medium: Insights in-progress can be developed / commented / ranked
• Big: Visit a topic like “imaginary numbers” and get an organized view of the best insights, diagrams, analogies and examples (not another tutorial walking through the definitions that didn’t work the first time)

This isn’t a replacement for Q&A sites, wikis, or blogs — it’s a repository of insights that helped speed up the learning process from those other sources.

Future

Let’s explore ways to reduce the friction while learning: make it easy to share ideas, and filter the ones that work best.

I’ll be writing as normal, but instead of starting with private notes that wither away, I’ll keep ideas in a public arena. The best insights can be combined and developed into full-on articles.

The project is brand-new, evolving, and feedback is welcome! Feel free to kick the tires and add your own ahas to the mix .

We’ll be doing an online webcast on BetterExplained/InstaCalc at 2pm Eastern Standard Time on Sat 6/19. I plan to bring up approaches I’ve found helpful in math teaching/learning, the role of tools, and developing our intuition beyond rote memorization. But more importantly, the net lets us collaborate at a level not dreamed about a decade ago — I’m interested in hearing your ideas!

Hope to see you there!

Update: The webinar was a blast! Click here for the full recording, including video, voice, and text chat.