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Quote by Paul Lockhart

“Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them.”

Quote by Paul Lockhart

Author

Paul Lockhart is a renowned math teacher known for his unique teaching methods and profound understanding of mathematics. His teaching philosophy emphasizes the beauty and intrinsic value of mathematics rather than its role as a subject. Details about his life and achievements are limited. more

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“A good problem is something you don't know how to solve. That's what makes it a good puzzle and a good opportunity.”

Knows Problem Opportunity Know How Solve Puzzles Good Opportunity

Author:Paul Lockhart

“Why don't we want our children to learn to do mathematics? Is it that we don't trust them, that we think it's too hard? We seem to feel that they are capable of making arguments and coming to their own conclusions about Napoleon. Why not about triangles?”

Thinking Want Feels Children Hard Seems Capable Argument Our Children Mathematics Math Conclusion Why Not Don't Trust Triangles

Author:Paul Lockhart

“If teaching is reduced to mere data transmission, if there is no sharing or excitement and wonder, if teachers themselves are passive recipients of information and not creators of new ideas, what hope is there for their students?”

Ifs Ideas Wonder Teacher Teaching Information Students Mere Creator Data Excitement Passive New Ideas Transmission

Author:Paul Lockhart

“Mathematics is the art of explanation. If you deny students the opportunity to engage in this activity-- to pose their own problems, to make their own conjectures and discoveries, to be wrong, to be creatively frustrated, to have an inspiration, and to cobble together their own explanations and proofs-- you deny them mathematics itself.”

Ifs Art Problem Inspiration Together Opportunity Students Activity Discovery Mathematics Deny Proof Explanation Frustrated Conjecture

Author:Paul Lockhart

“I don't see how it's doing society any good to have so many members walking around with vague memories of algebraic formulas and geometric diagrams and clear memories of hating them.”

Hate Memories Clear Walking Members Formulas Vague Diagrams Geometric

Author:Paul Lockhart

“Mathematics is not a language, it's an adventure”

Language Adventure Mathematics

Author:Paul Lockhart

“There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics. It is every bit as mind blowing as cosmology or physics (mathematicians conceived of black holes long before astronomers actually found any), and allows more freedom of expression than poetry, art, or music (which depends heavily on properties of the physical universe). Mathematics is the purest of the arts, as well as the most misunderstood.”

“Truth makes love possible; love makes truth bearable.”

Truth Is Making Love Bearable Possible Love

Book:A Ray of Darkness

Source: A Ray of Darkness

“The past is what the present is doing now.”

Author:Rowan Williams

“Our present ecological crisis, the biggest single practical threat to our human existence in the middle to long term, has, religious people would say, a great deal to do with our failure to think of the world as existing in relation to the mystery of God, not just as a huge warehouse of stuff to be used for our convenience.”

Source: Tokens of Trust: An Introduction to Christian Belief