Computers Allow Teaching Mathematics as Art or Music

Mathematics Should be Taught Like Art > Conclusion > Pianos Make Music Accessible Like Computers Make Math Accessible
Computers allow children to play with mathematics, learning through low-cost failure and experimentation. Similar to how paints and a canvas allow exploring art, or a piano allows exploring music.

 Teachers Select for Student Learning

Instruction vs. Selection > Conclusion > Teaching as Natural Selection
 

 Curse of the Gifted

The Curse of the Gifted > Example/Illustration > Curse of the Gifted: Personal Account
Generalization in the workplace, and a personal anecdote from a forum.

 The Energy Game

The Energy Game > Example/Illustration > The Energy Game in a Dead Moth
Feynman describes a game of tracing all energy back to the sun, and Chet Raymo provides an example of this with a moth being carried away by ants.

 It Takes an Investment of Effort for Tasks to Become Enjo...

Nothing is Fun Until You\'re Good at It > Similarity > A Useful Metaphor for Maintaining Momentum
Bill Cosby uses the metaphor of a plane burning the most fuel on takeoff before leveling out in the clouds and Amy Chua argues that skills are fun once a child overcomes the frustration of learning them.

 Science Requires Effort

Enjoying Science Requires Effort > Emphasis > Reading the Music of Science
You must learn the language of science and love nature to enjoy and appreciate it.

 You Must Become Good at Something to Enjoy It

Nothing is Fun Until You\'re Good at It > Conclusion > Reading the Music of Science
This fact is one of the reasons people don't enjoy science, they haven't learned enough about it to appreciate it.