Young Mathematicians at Work: Constructing Multiplication and DivisionIn our efforts to reform mathematics education, we've learned a tremendous amount about young students' strategies and the ways they construct knowledge, without fully understanding how to support such development over time. The Dutch do. So, funded by the NSF and Exxon Mobil, Mathematics in the City was begun, a collaborative inservice project that pooled the best thinking from both countries. In Young Mathematicians at Work, Catherine Fosnot and Maarten Dolk reveal what they learned after several years of intensive study in numerous urban classrooms. In this second volume in a series of three, Fosnot and Dolk focus on how to develop an understanding of multiplication and division in grades 35. Their book:

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Contents
Teaching and Learning as Development  9 
viiil CONTENTS The Role of Context  19 
DEVELOPING MULTIPLICATION  33 
Copyright  
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algorithm Andrea answer asks assessment begins big ideas boxes calculate candies Cathy chart chil child classroom columns computation strategies Connecting Division construct context develop discussion distributive property divided draws dren eight Eric Temple Bell example explain explore facilitate Figure five fortyeight Fosnot four Freudenthal graders Grady graph paper horizon hundred investigations journey landmarks landscape of learning learners learning and teaching long division look math congress math workshop mathematical ideas mathematical models Max Dehn mean mental maps Miki minilessons multiplication and division Nokolaus noticed number sense open array part/whole partitive problems pattern pencils place value question relationships repeated addition represent rows seven Shakira situation skip counting solve square string subtraction supports mathematizing Susan tag sale Taniqua teachers Terry Terry's thinking tion twelve understanding Unifix cubes walk the edge wants Willem writes Yeah YOUNG MATHEMATICIANS zero