You never really know something until you teach it to someone else.

Experience is a wonderful teacher, but one whose lessons come too late.

You could never teach other people anything that mattered. The important things they had to learn for themselves, almost always by making mistakes, so that the lessons arrived too late to help. Experience was in that sense useless. It was precisely what could not be passed along in a lesson or an equation.

It's those who lie outside ordinary experience who have the most to teach us.

If you cannot teach knowledge, then you should teach your intuition.

The trouble with modern education is you never know how ignorant people are. With anyone over fifty you can be fairly confident what's been taught and what's been left out. But these young people have such an intelligent, knowledgeable surface, and then the crust suddenly breaks and you look down into depths of confusion you didn't know existed.

You know that I don't believe that anyone has ever taught anything to anyone. I question that efficacy of teaching. The only thing that I know is that anyone who wants to learn will learn. And maybe a teacher is a facilitator, a person who puts things down and shows people how exciting and wonderful it is and asks them to eat.

The best teacher is the one who himself has had to struggle to learn.

A dilemma that I see is that ignorant people are unknowledgable, but can learn. Arrogant people are knowledgeable but unable to be taught.

But experience can be a difficult teacher, and it taught me that this story of economic insecurity is, at best, incomplete.

Experience is a keen teacher;

Leonardo had almost no schooling and could barely read Latin or do long division. His genius was of the type we can understand, even take lessons from. It was based on skills we can aspire to improve in ourselves, such as curiosity and intense observation. He had an imagination so excitable that it flirted with the edges of fantasy, which is also something we can try to preserve in ourselves and indulge in our children.

Teaching is a record of failures. But the glory of teaching is in the attempt.

Leonardo da Vinci liked to boast that, because he was not formally educated, he had to learn from his own experiences instead