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Mathematical Discourse: Language, Symbolism and Visual Images 1st Edition

2.0 out of 5 stars 1 customer review
ISBN-13: 978-1847064219
ISBN-10: 1847064213
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Product Details

  • Paperback: 240 pages
  • Publisher: Bloomsbury Academic; 1 edition (November 1, 2008)
  • Language: English
  • ISBN-10: 1847064213
  • ISBN-13: 978-1847064219
  • Product Dimensions: 6.1 x 0.5 x 9.2 inches
  • Shipping Weight: 13.6 ounces (View shipping rates and policies)
  • Average Customer Review: 2.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,398,645 in Books (See Top 100 in Books)

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Despite the broad title, this book speaks to a very narrow audience -- one that will include very few of the people who are likely to buy it, namely people actually interested in mathematics. It's designed for those who already know a lot about one particular approach to discourse analysis, M.A.K. Halliday's social semiotic theory a/k/a Systemic Functional Grammar (SFG). Even if you've previously read books about discourse analysis, you won't necessarily know much about this approach, which has many competitors; and unless you have the patience of a saint or a masochist you won't find this book's user-hostile description of it informative. Moreover, if you've ever taken a college math course, then once you've scraped through the layers of SFG jargon you'll discover mostly the obvious: e.g. that mathematical discourse relies on the interactions of language, mathematical symbolism and images, or that math uses lots of nested expressions (including the hierarchy of parentheses, brackets, curly braces, etc.), here dubbed with the jargon term "rankshifting."

The math in the book rarely strays from basic calculus. However, the author (KLO'H) sometimes misses the most interesting point of her examples. E.g., @101-103, she analyzes a textbook's solved example for finding the derivative of f(x)=\sq_rt\(x-1). The textbook starts the solution from the formula for the derivative, f'(x) = lim h->0: [f(x+h)-f(x)]/h. KLO'H describes the procedure simply as "finding the derivative f'(x) of a function by finding the the limit of f(x) as x is approached; that is, as h tends to zero" (@103), and referring to an accompanying illustration in the textbook. Let's ignore for now that she misstates the problem: the derivative is the limit of the whole expression, not the limit of f(x).
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