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Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States (Studies in Mathematical Thinking and Learning Series) 2nd Edition

4.8 out of 5 stars 12 customer reviews
ISBN-13: 978-0415873840
ISBN-10: 0415873843
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  • Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States (Studies in Mathematical Thinking and Learning Series)
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Product Details

  • Series: Studies in Mathematical Thinking and Learning Series
  • Paperback: 232 pages
  • Publisher: Routledge; 2 edition (January 27, 2010)
  • Language: English
  • ISBN-10: 0415873843
  • ISBN-13: 978-0415873840
  • Product Dimensions: 6 x 0.5 x 9 inches
  • Shipping Weight: 11.2 ounces (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (12 customer reviews)
  • Amazon Best Sellers Rank: #59,442 in Books (See Top 100 in Books)

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Top Customer Reviews

Format: Paperback
I recommend this book often. My cousin, who is a math professor, recommended it to me. The author wrote it as her doctoral dissertation, so despite being a brief book, it can be a little dense at first (especially if math is not your strong suit - it is not mine!).

It is a wonderful book, though, to help parents (and teachers) move from procedural approaches to math, into conceptual approaches. I think the way we teach math in schools today is emphasizing conceptual approaches, but many of the parents (and teachers) don't know why or how that is happening. For those of us who learned "recipes" to solve math problems, this can be confusing (also, for our kids while we're trying to help them).

Reading this book, and discussing it aloud with my husband as I went through the book, was a real eye-opener to me about how I'd learned math - the things I'd understood intuitively, and the things which I'd learned by rote (and how that affected my later lack of mathematical skill/confidence).

I have used this book with both of our kids, as they encountered math stumbling blocks, to help them understand concepts well. Using the case studies in each chapter as my "guides," I have been able to help my kids understand the concept; and it is almost miraculous, how much more quickly and smoothly the math problems go for them after that point.

I really can't recommend this book enough.
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Format: Paperback
A fantastic study. It's ironic that the US maths teachers here compare so unfavourably with the Chinese teachers, yet the essential academic reference is to Jerome Bruner's monumental thinking. Also wondered how the author used the city map analogy on p123 without crediting Richard Skemp who first proposed this in his 1976 paper on Relational Understanding and Instrumental Understanding: [...]
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Format: Kindle Edition Verified Purchase
Superb little book in mathematics education. I've been familiar with this classic for a long time and I consider it the best mathematics education book ever written. If only our country would do the same for preparation of elementary school teachers charge was teaching elementary mathematics. Her term PUFM, Profound Understanding of Fundamental Mathematics, is standard in her native China (with several fewer years of preparation) and all too rare with ours.
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Format: Paperback Verified Purchase
We used this book in a state-sponsored course designed to improve the way mathematics is taught in the public schools.

Mathematics teaching in the US has traditionally focused on teaching and memorizing procedures rather than understanding the underlying concepts and relationships - this book encourages teachers to question that.

It may be a bit dry, but it is an excellent resource for those looking to improve their understanding of the important ideas in mathematics in order to improve the way they teach.
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Format: Paperback
The single best book on understanding the math you teach. Over my fifteen years of teaching I often revisit the book to sharpen my presentations to my struggling sixth graders
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Format: Kindle Edition Verified Purchase
This book clearly answers a lot of questions I have about the differences between Mathematics teaching in the US and Asia.
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