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Paul Lockhart Quotes

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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.  (Paul Lockhart Quotes) No mathematician in the world would bother making these senseless distinctions: 2 1/2 is a mixed number while 5/2 is an improper fraction. They’re EQUAL for crying out loud. They are the exact same numbers and have the exact same properties. Who uses such words outside of fourth grade?  (Paul Lockhart Quotes) [Math is] not at all like science. There’s no experiment I can do with test tubes and equipment and whatnot that will tell me the truth about a figment of my imagination. The only way to get at the truth about our imaginations is to use our imaginations  (Paul Lockhart Quotes) Mathematics is about problems, and problems must be made the focus of a student’s mathematical life. Painful and creatively frustrating as it may be, students and their teachers should at all times be engaged in the process - having ideas, not having ideas, discovering patterns, making conjectures, constructing examples and counterexamples, devising arguments, and critiquing each other’s work  (Paul Lockhart Quotes) In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide - a relief from daily life, an anodyne to the practical workaday world  (Paul Lockhart Quotes) There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics  (Paul Lockhart Quotes) Mathematics is not a language, it’s an adventure  (Paul Lockhart Quotes) Mathematics is the purest of the arts, as well as the most misunderstood  (Paul Lockhart Quotes) Mathematics is the music of reason  (Paul Lockhart Quotes) It is the story that matters not just the ending  (Paul Lockhart Quotes) Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations  (Paul Lockhart Quotes) The only thing I am interested in using mathematics for is to have a good time and to help others do the same  (Paul Lockhart Quotes) 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  (Paul Lockhart Quotes) 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?  (Paul Lockhart Quotes) A good problem is something you don’t know how to solve. That’s what makes it a good puzzle and a good opportunity  (Paul Lockhart Quotes) Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them  (Paul Lockhart Quotes) To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of confusion? not because it makes no sense to you, but because you gave it sense and you still don’t understand what your creation is up to  (Paul Lockhart Quotes)