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One looks back with appreciation to the brilliant teachers, but with gratitude to those who touched our human feelings. The curriculum is so much necessary raw material, but warmth is the vital element for the growing plant and for the soul of the child.
Every child should have a caring adult in their lives. And that’s not always a biological parent or family member. It may be a friend or neighbor. Often times it is a teacher.
What is a teacher? I’ll tell you: it isn’t someone who teaches something, but someone who inspires the student to give of her best in order to discover what she already knows.
The best teacher is not the one who knows most but the one who is most capable of reducing knowledge to that simple compound of the obvious and wonderful.
A teacher who cannot explain any abstract subject to a child does not himself thoroughly understand his subject; if he does not attempt to break down his knowledge to fit the child’s mind, he does not understand teaching.
True teachers are those who use themselves as bridges over which they invite their students to cross; then, having facilitated their crossing, joyfully collapse, encouraging them to create their own.
If we study learning as a data science, we can reverse engineer the human brain and tailor learning techniques to maximize the chances of student success. This is the biggest revolution that could happen in education, turning it into a data-driven science, and not such a medieval set of rumors professors tend to carry on.
As a graduate student I studied mathematics fairly broadly, and I was fortunate enough, besides developing the idea which led to ‘Non-Cooperative Games,’ also to make a nice discovery relating to manifolds and real algebraic varieties.
In the matter of learning, the difference between the earnest and the careless student stands out clearly. The same holds true in the mastering of passion and the weaknesses to which our nature is subject, as in the acquiring of virtue.
Teaching was my transition from student life to working life. In those days, our system of education was a little different. The number of students in each class was huge. I think in political science general, which I taught, it was around 100.