“Working an integral or performing a linear regression is something a computer can do quite effectively. Understanding whether the result makes sense—or deciding whether the method is the right one to use in the first place—requires a guiding human hand. When we teach mathematics we are supposed to be explaining how to be that guide. A math course that fails to do so is essentially training the student to be a very slow, buggy version of Microsoft Excel.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking
“A reasonable person believes, in short, that each of his beliefs is true and that some of them are false.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking
“I think we need more math majors who don't become mathematicians. More math major doctors, more math major high school teachers, more math major CEOs, more math major senators. But we won't get there unless we dump the stereotype that math is only worthwhile for kid geniuses.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking
“One of the most painful parts of teaching mathematics is seeing students damaged by the cult of the genius. The genius cult tells students it’s not worth doing mathematics unless you’re the best at mathematics, because those special few are the only ones whose contributions matter. We don’t treat any other subject that way! I’ve never heard a student say, “I like Hamlet, but I don’t really belong in AP English—that kid who sits in the front row knows all the plays, and he started reading Shakespeare when he was nine!” Athletes don’t quit their sport just because one of their teammates outshines them. And yet I see promising young mathematicians quit every year, even though they love mathematics, because someone in their range of vision was “ahead” of them.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking
“Dividing one number by another is mere computation ; knowing what to divide by what is mathematics.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking
Mitali’s 2025 Year in Books
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