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Numerical Notation: A Comparative History
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Numerical Notation: A Comparative HistoryNumerical Notation: A Comparative History

This book is a cross-cultural reference volume of all attested numerical notation systems (graphic, non-phonetic systems for representing numbers), encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defies progressive, unilinear evolutionary models of change, Stephen Chrisomalis identifies five basic types of numerical notation systems, using a cultural phylogenetic framework to show relationships between systems and to create a general theory of change in numerical systems.
 
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Young Mathematicians at Work, Vol. 3: Constructing Fractions, Decimals, and Percents
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Young Mathematicians at Work, Vol. 3: Constructing Fractions, Decimals, and PercentsYoung Mathematicians at Work, Vol. 3: Constructing Fractions, Decimals, and Percents

In 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 National Science Foundation and ExxonMobil, Mathematics in the City was begun, a collaborative inservice project that pooled the best thinking from both countries.

 
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Young Mathematicians at Work, Vol. 2: Constructing Multiplication and Division
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Young Mathematicians at Work, Vol. 2: Constructing Multiplication and DivisionYoung Mathematicians at Work, Vol. 2: Constructing Multiplication and Division

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 3-5.

 
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Young Mathematicians at Work, Vol. 1: Constructing Number Sense, Addition, and Subtraction
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Young Mathematicians at Work, Vol. 1: Constructing Number Sense, Addition, and Subtraction The first in a three-volume set, Young Mathematicians at Work focuses on young children between the ages of four and eight as they construct a deep understanding of number and the operations of addition and subtraction.
This is a must read for any k-2 teacher. Primarily focused on K-2 teachers this book offers a direct and explicit document to base investigative math. It also gives clear research into the development of young mathematicians (the why). It is a short and concise book that gives you the framework to change your mind-set on teaching math.
 
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The Birth of Numerical Analysis
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The Birth of Numerical AnalysisThe Birth of Numerical Analysis

The 1947 paper by John von Neumann and Herman Goldstine, Numerical Inverting of Matrices of High Order (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years.
 
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