This link has been bookmarked by 88 people . It was first bookmarked on 23 Jun 2006, by craig hancock.
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A reading protocol is a set of strategies that a reader must use in order to benefit fully from reading the text. Poetry calls for a different set of strategies than fiction, and fiction a different set than non-fiction. It would be ridiculous to read fiction and ask oneself what is the author's source for the assertion that the hero is blond and tanned; it would be wrong to read non-fiction and not ask such a question. This reading protocol extends to a viewing or listening protocol in art and music. Indeed, much of the introductory course material in literature, music and art is spent teaching these protocols.
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The beauty in a novel is in the aesthetic way it uses language to evoke emotions and present themes which defy precise definition. The beauty in a mathematics article is in the elegant efficient way it concisely describes precise ideas of great complexity.
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Don't assume that understanding each phrase, will enable you to understand the whole idea. This is like trying to see a painting by staring at each square inch of it from the distance of your nose. You will get the detail, texture and style but miss the picture completely. A math article has a story! Try to see what the story is before you delve into the details. You can go in for a closer look once you have a framework to fill with details, just as you might reread a novel.
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The best way to understand what you are reading is to make the idea your own. This means following the idea back to its origin, and rediscovering it for yourself. Mathematicians often say that to understand something you must first read it, then write it down in your own words, then teach it to someone else. Everyone has a different set of tools and a different level of “chunking up” complicated ideas. Make the idea fit in with your own perspective and experience.
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Most math books are written with assumptions about the audience: that they know certain things, that they have a certain level of "mathematical maturity", etc. Before you start to read, make sure you know what the author expects you to know.
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Jay Duggercategorizes some strategies for a mathematics reading protocol
education linguistics math reference tutorial someday-perhaps to-test
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Mike ArsenaultGood resource for Math teachers to think about teaching students to read a math text.
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A reading protocol is a set of strategies that a reader must use in order to benefit fully from reading the text. Poetry calls for a different set of strategies than fiction, and fiction a different set than non-fiction. It would be ridiculous to read fiction and ask oneself what is the author's source for the assertion that the hero is blond and tanned; it would be wrong to read non-fiction and not ask such a question. This reading protocol extends to a viewing or listening protocol in art and music. Indeed, much of the introductory course material in literature, music and art is spent teaching these protocols. Mathematics has a reading protocol all its own, and just as we teach students to read literature, we should teach them to read mathematics.This article categorizes some of the strategies for a mathematics reading protocol. I am sure my readers will think of many strategies that I missed. The point is that there *is* such a protocol, that we all know and use it, and that we should make an attempt to share the secret with our students.
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