Young Mathematicians at Work: Constructing Algebra

Catherine Twomey Fosnot e William Jacob 

 Heinemann | 2010 | 220 páginas | pdf | 3,4 Mb

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The first three volumes of this popular series help teachers support children's development in number sense and operation, from addition and subtraction through fractions, decimals, and percents. Catherine Twomey Fosnot and Maarten Dolk's signature approach uses classroom vignettes to illustrate the investigations and minilessons students engage in as they build their mathematical knowledge.

The hallmarks of their approach include:

• Supporting children as they construct mathematical strategies and big ideas

• Creating realistic contexts and representational models that develop children's capacity to mathematize their world

• Building a collaborative community of mathematical thinkers engaged in inquiry

For the fourth volume Catherine teams up with Bill Jacob to offer a comfortably familiar and characteristically rich extension to the earlier work. In Constructing Algebra Catherine and Bill provide a landscape of learning that helps teachers recognize, support, and celebrate their students' capacity to structure their worlds algebraically. They identify for teachers the models, contexts, and landmarks that facilitate algebraic thinking in young students.

This volume will be a welcome resource for classroom teachers, math supervisors, and curriculum coordinators alike. Preparing young children for success in algebra is a crucial topic. Constructing Algebra provides the insightful and practical methods from the most trusted source for teaching mathematics to young students from Kindergarten through grade 8.

CONTENTS

CHAPTER 1: ALGEBRA: STRUCTURES OR STRUCTURING? 3

CHAPTER 2: THE LANDSCAPE OF LEARNING 23

CHAPTER 3: EARLY STRUCTURING OF THE NUMBER SYSTEM 37

CHAPTER 4: CONTINUING THE JOURNEY: THE ROLE OF CONTEXTS AND MODELS 55

CHAPTER 5: EQUIVALENCE ON THE HORIZON 77

CHAPTER 6: VARIATION VERSUS VARIABLES 93

CHAPTER 7: FURTHER HORIZONS: INTEGERS AND EQUIVALENCE 111

CHAPTER 8: COMPARING QUANTITIES AND RELATIONS 129

CHAPTER 9: DEVELOPING ALGEBRAIC STRATEGIES WITH MINILESSONS 155

CHAPTER 10: PROOF 171

Outros livros da mesma série:

Young mathematicians at work. Constructing number sense, addition, and subtraction por Catherine Twomey Fosnot; Maarten Ludovicus Antonius Marie Dolk Idioma: Inglês   Editora: Portsmouth, NH : Heinemann, ©2001.

Young mathematicians at work. Constructing multiplication and division por Catherine Twomey Fosnot; Maarten Ludovicus Antonius Marie Dolk Idioma: Inglês   Editora: Portsmouth, NH : Heinemann, ©2001.

Young mathematicians at work : constructing fractions, decimals, and percents por Catherine Twomey Fosnot; Maarten Ludovicus Antonius Marie Dolk Idioma: Inglês   Editora: Portsmouth, NH : Heinemann, ©2002.