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The Number Sense: How the Mind Creates Mathematics 1st Edition

4.6 out of 5 stars 16 customer reviews
ISBN-13: 978-0195132403
ISBN-10: 0195132408
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Product Details

  • Paperback: 288 pages
  • Publisher: Oxford University Press; 1 edition (December 9, 1999)
  • Language: English
  • ISBN-10: 0195132408
  • ISBN-13: 978-0195132403
  • Product Dimensions: 9 x 0.8 x 6 inches
  • Shipping Weight: 12 ounces (View shipping rates and policies)
  • Average Customer Review: 4.6 out of 5 stars  See all reviews (16 customer reviews)
  • Amazon Best Sellers Rank: #561,003 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

46 of 46 people found the following review helpful By Mark Rosa on January 25, 2000
Format: Hardcover
I immediately gave this book a glance-through upon seeing the title. The resemblance to Steven Pinker's 'The Language Instinct' and his quote at the bottom hooked me, and the inside didn't disappoint. A lot of people have written books questioning why we don't understand math; here's someone who wonders why we do.
Regarding the part about memorization - I assume that the numbers shown to the test subjects were our European numerals in all cases. I wonder what would happen if Chinese digits were used -- they all look distinct, in comparison to, say, our ambiguous 6 and 9, which can be confusing (ever see "1 2 3 4 5 SIX 7 8 NINE" on a gambling table to avoid this?). Can people recognize Chinese digits faster?
(And Ronald, I too immediately formed a Japanese mnemonic upon seeing the string of digits in that chapter. Unconsciously, in fact. The five/nine ambiguity disappeared!)
One quibble is that Dehaene seems to fall into the trap that many people - mathematicians included - blindly accept as fact; the idea that the European numerals that we use every day are superior to anything else. 'It's hard to see how they could be improved upon', he says, (or something to that effect - I'm doing this from memory). Arabic numerals (by which I mean those used by Arabic-speaking people, not the European variations that 'we' use) have the advantage of all being written without lifting your pen, and Chinese digits, for which trying to distinguish between, say, "160" and "180" in very small print is no problem. When you think about it, any place-value system with a zero is equally effective regardless of the forms of the numerals.
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27 of 27 people found the following review helpful By Ron on April 13, 1998
Format: Hardcover
I have not yet finished Stanislas Dahaene's excellent book "The Number Sense". But I would like to add an observation on chapter 4. The author discusses many studies which show that persons whose native language uses number names stemming from Chinese, such as Chinese, Japanese, or Korean, can remember much longer strings of numbers, on average, than speakers of such western languages as English or French. He attributes this to the shorter length of the spoken names of the numbers in the eastern languages. However, another important factor in Japanese, at least, must be the ease with which meaningful mnemonics can be made. Japanese effectively has three different ways to name each digit. One stems from Chinese (ichi, ni, san, shi, go, roku, shichi, hachi, kyuu, juu), another is the native Japanese counting system predating Chinese influence (hitotsu, futatsu, mitsu,yotsu,itsutsu,mutsu,nanatsu,yatsu,kokonotus,too) and the third is from English (wan, tsuu, suree, foah, etc.). The digit zero can be named as "oh" from the English letter "O", or "ma" from "maru" meaning circle, etc. It is almost always possible to make an easily remembered mnemonic. This way commercial telephone numbers are made easier to remember in advertisements. (Japanese telephones have only digits on the buttons, no added letters.) Telephone numbers for pet shops and veterinarians often have pairs of ones, "11". Because "wan wan" is the Japanese equivelant of "arf arf". The dentist downstairs in my building uses the number "1818" because "ii ha, ii ha" means "good tooth good tooth". Mr.Read more ›
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19 of 20 people found the following review helpful By A Customer on November 20, 1997
Format: Hardcover
I am very grateful to the friend who directed me to an article in last July's issue of "Discover" that describes Stanislas Dehaene's new book "The Number Sense: How the Mind Creates Mathematics." The article highlights the examples Dehaene gives of people who have brain injuries that destroy their ability to do parts of arithmetic, while leaving other skills intact. Dehaene combines these examples with evidence from reaction time experiments and from new brain imaging techniques to make a compelling case that we share with other animals an analog method for dealing with quantitative information. He uses the metaphors of a mental number line and an analog accumulator, and notes that these may be more than just metaphors. Anyone interested in the teaching and learning of arithmetic must read this book. And it is so well written -- in English by a Frenchman! -- and contains so much new informnation that it can be recommended to everyone.
Dehaene goes beyond the biological heritage we share with other animals to consider how the language processing parts of our brain contribute to our ability to do arithmetic. He also gives a clear and complete description of why hindu-arabic numerals are now universal, noting that place value systems arose independently in four different civilizations. In all, he makes a compelling case that those of us interested in the teaching of arithmetic have to pay attention both to evolution and to the intelligent design of numeral systems.
Dehaene gives examples of how our non-linguisitic, linguistic, and cultural heritages interact in our doing arithmetic, and of what can go wrong when they are out of sync.
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The Number Sense: How the Mind Creates Mathematics
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