Manoj

“Finally, if you attempt to read this without working through a significant number of exercises (see §0.0.1), I will come to your house and pummel you with [Gr-EGA] until you beg for mercy. It is important to not just have a vague sense of what is true, but to be able to actually get your hands dirty. As Mark Kisin has said, “You can wave your hands all you want, but it still won’t make you fly.”
― Ravi Vakil, Foundations of Algebraic Geometry

“Early education,” says President Thwing, “occupies itself with description (geometry, space, arithmetic, time, science, the world of nature). Later education with comparison and relations.” If one asks, “Why not both together? Why learn facts at one time and their relations at another? Is it not the most vital possible way to learn facts to learn them in their relations?”—the answer that would be generally made reveals that most teachers are pessimists, that they have very small faith in what can be expected of the youngest pupils. The theory is that interpretative minds must not be expected of them. Some of us find it very hard to believe as little as this, in any child. Most children have such an incorrigible tendency for putting things together that they even put them together wrong rather than not put them together at all. Under existing educational conditions a child is more of a philosopher at six than he is at twenty-six. The third stage of education for which Dr. Thwing partitions off the human mind is the “stage in which a pupil becomes capable of original research, a discoverer of facts and relations” himself. In theory this means that when a man is thirty years old and all possible habits of originality have been trained out of him, he should be allowed to be original. In practice it means removing a man’s brain for thirty years and then telling him he can think.”
― Gerald Stanley Lee, The Lost Art of Reading

“I find no more satisfactory way of reading most books—the way one has to—through their backs, than reading the few books that one does read, through persons and for persons and with persons. It is a great waste of time to read a book alone.”
― Gerald Stanley Lee, The Lost Art of Reading

“Early education,” says President Thwing, “occupies itself with description (geometry, space, arithmetic, time, science, the world of nature). Later education with comparison and relations.” If one asks, “Why not both together? Why learn facts at one time and their relations at another? Is it not the most vital possible way to learn facts to learn them in their relations?”—the answer that would be generally made reveals that most teachers are pessimists, that they have very small faith in what can be expected of the youngest pupils. The theory is that interpretative minds must not be expected of them. Some of us find it very hard to believe as little as this, in any child. Most children have such an incorrigible tendency for putting things together that they even put them together wrong rather than not put them together at all. Under existing educational conditions a child is more of a philosopher at six than he is at twenty-six.”
― Gerald Stanley Lee, The Lost Art of Reading