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  <title><![CDATA[Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States (Studies in Mathematical Thinking and Learning Series)]]></title>
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  <description><![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]></description>
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        <name><![CDATA[Liping Ma]]></name>
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  <title>
    <![CDATA[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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  <average_rating>4.29</average_rating>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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  <published>1999</published>
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  <read_at>Sun Apr 01 00:00:00 -0700 2007</read_at>
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  <date_updated>Wed Dec 16 22:28:30 -0800 2009</date_updated>
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    <body><![CDATA[This is a really interesting investigation into the differences between Chinese and American math teaching and teacher preparation.  For me, this book opened up and excited me about the nuances of teaching arithmetic.  There are a huge amount of analogies, comparisons, and various mental models in p...<a href="http://www.goodreads.com/review/show/2298197">more...</a>]]></body>
    
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      <review>
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  <title>
    <![CDATA[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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  <average_rating>4.29</average_rating>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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  <published>1999</published>
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  <read_at>Sun Jan 01 00:00:00 -0800 2006</read_at>
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  <date_updated>Fri Jul 03 10:18:08 -0700 2009</date_updated>
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    <body><![CDATA[It is fascinating to see the degree of understanding of fundamental math processes and the differences between Chinese and US teachers.  I think some of the curricula I have dealt with are trying to address this problem (Everyday Math, in particular), but too often the teachers teaching EM lack the ...<a href="http://www.goodreads.com/review/show/59103357">more...</a>]]></body>
    
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      <review>
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    <name><![CDATA[Matt]]></name>
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    <![CDATA[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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  <average_rating>4.29</average_rating>
  <ratings_count>31</ratings_count>
  <description>
    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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  <published>1999</published>
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    <rating>4</rating>
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  <read_at>Mon May 01 00:00:00 -0700 2006</read_at>
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  <date_updated>Sat Apr 04 17:47:12 -0700 2009</date_updated>
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    <body><![CDATA[Never had to read it for a class, but heard good things about it...Browsed through it on a couple of occasions, especially the chapter on dividing by fractions...Interesting stuff...]]></body>
    
  <url><![CDATA[http://www.goodreads.com/review/show/51522955]]></url>
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      <review>
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    <name><![CDATA[Barb]]></name>
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  <title>
    <![CDATA[Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States (Studies in Mathematical Thinking and Learning Series)]]>
  </title>
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  <link>http://www.goodreads.com/book/show/139852.Knowing_and_Teaching_Elementary_Mathematics_Teachers_Understanding_of_Fundamental_Mathematics_in_China_and_the_United_States</link>
  <average_rating>4.29</average_rating>
  <ratings_count>31</ratings_count>
  <description>
    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
  </description>
  <published>1999</published>
</book>

    <rating>4</rating>
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  <recommended_for><![CDATA[Teachers of Math]]></recommended_for>
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  <read_at>Fri Aug 15 00:00:00 -0700 2008</read_at>
  <date_added>Sun Aug 31 04:50:24 -0700 2008</date_added>
  <date_updated>Sun Aug 31 04:53:56 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[It was both enlightening and discouraging to read this book which compares the teaching of mathematics in the US and China.  It was written almost 10 years ago and I'd like to think US teachers have improved their teaching of math in that time.  Still, many of the quotes from teachers in the discuss...<a href="http://www.goodreads.com/review/show/31643674">more...</a>]]></body>
    
  <url><![CDATA[http://www.goodreads.com/review/show/31643674]]></url>
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</review>
      <review>
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    <name><![CDATA[Betty]]></name>
    <location><![CDATA[Frederick, MD]]></location>
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  <title>
    <![CDATA[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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  <average_rating>4.29</average_rating>
  <ratings_count>31</ratings_count>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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  <read_at>Wed Jun 03 00:00:00 -0700 2009</read_at>
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  <date_updated>Wed Jun 03 12:48:58 -0700 2009</date_updated>
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    <body><![CDATA[I have been meaning to read this book for years. This summer I assigned it to a student, so I had to read it myself. It's very good.]]></body>
    
  <url><![CDATA[http://www.goodreads.com/review/show/55240716]]></url>
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    <![CDATA[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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  <average_rating>4.29</average_rating>
  <ratings_count>31</ratings_count>
  <description>
    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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  <published>1999</published>
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    <body><![CDATA[This book began as a doctoral thesis and reads like one. It was very helpful, though, as it clearly showed how and why Chinese teachers think more mathematically, and are thus able to teach math more thoroughly. ]]></body>
    
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    <![CDATA[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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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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    <body><![CDATA[Frightening so far.]]></body>
    
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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    <![CDATA[Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.<br/> <br/>Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.<br/> <br/> <br/>This book describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.<br/> <br/> <br/>The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives. <br/> <br/> <br/>Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.<br/>]]>
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