This book-the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra-provides a rationale for a stronger and more sustained approach to algebra in school.
This book-the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra-provides a rationale for a stronger and more sustained approach to algebra in school.
Kaput, James J.; Carraher, David W.; Blanton, Maria L.
Inhaltsangabe
Contents: Preface. Skeptic's Guide to Algebra in the Early Grades. Part I: The Nature of Early Algebra.J.J. Kaput What Is Algebra? What Is Algebraic Reasoning? J.J. Kaput M.L. Blanton L.M. Armella Algebra From a Symbolization Point of View. J. Mason Making Use of Children's Powers to Produce Algebraic Thinking. J.P. Smith III P.W. Thompson Quantitative Reasoning and the Development of Algebraic Reasoning. E. Smith Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculum. Part II:Students' Capacity for Algebraic Thinking. V. Bastable D Schifter Classroom Stories: Examples of Elementary Students Engaged in Early Algebra. C. Tierney S. Monk Children's Reasoning About Change Over Time. N. Mark-Zigdon D. Tirosh What Is a Legitimate Arithmetic Number Sentence? The Case of Kindergarten and First Grade Children. T. Boester R. Lehrer Visualizing Algebraic Reasoning. D.W. Carraher A.D. Schliemann J.L. Schwartz Early Algebra Is Not the Same as Algebra Early. B.M. Brizuela D. Earnest Multiple Notational Systems and Algebraic Understandings: The Case of the "Best Deal" Problem. I. Peled D.W. Carraher Signed Numbers and Algebraic Thinking. Part III: Issues of Implementation: Taking Early Algebra to the Classrooms. M.L. Franke T.P. Carpenter D. Battey Content Matters: The Case of Algebra Reasoning in Teacher Professional Development. M.L. Blanton J.J. Kaput Building District Capacity for Teacher Development in Algebraic Reasoning. B. Dougherty Measure Up: A Quantitative View of Early Algebra. D. Schifter S. Monk S.J. Russell V. Bastable Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades? P. Goldenberg N. Shteingold Early Algebra: The MW Perspective. Afterword: A. Schoenfeld Early Algebra as Mathematical Sense-Making.
Contents: Preface. Skeptic's Guide to Algebra in the Early Grades. Part I: The Nature of Early Algebra.J.J. Kaput What Is Algebra? What Is Algebraic Reasoning? J.J. Kaput M.L. Blanton L.M. Armella Algebra From a Symbolization Point of View. J. Mason Making Use of Children's Powers to Produce Algebraic Thinking. J.P. Smith III P.W. Thompson Quantitative Reasoning and the Development of Algebraic Reasoning. E. Smith Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculum. Part II:Students' Capacity for Algebraic Thinking. V. Bastable D Schifter Classroom Stories: Examples of Elementary Students Engaged in Early Algebra. C. Tierney S. Monk Children's Reasoning About Change Over Time. N. Mark-Zigdon D. Tirosh What Is a Legitimate Arithmetic Number Sentence? The Case of Kindergarten and First Grade Children. T. Boester R. Lehrer Visualizing Algebraic Reasoning. D.W. Carraher A.D. Schliemann J.L. Schwartz Early Algebra Is Not the Same as Algebra Early. B.M. Brizuela D. Earnest Multiple Notational Systems and Algebraic Understandings: The Case of the "Best Deal" Problem. I. Peled D.W. Carraher Signed Numbers and Algebraic Thinking. Part III: Issues of Implementation: Taking Early Algebra to the Classrooms. M.L. Franke T.P. Carpenter D. Battey Content Matters: The Case of Algebra Reasoning in Teacher Professional Development. M.L. Blanton J.J. Kaput Building District Capacity for Teacher Development in Algebraic Reasoning. B. Dougherty Measure Up: A Quantitative View of Early Algebra. D. Schifter S. Monk S.J. Russell V. Bastable Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades? P. Goldenberg N. Shteingold Early Algebra: The MW Perspective. Afterword: A. Schoenfeld Early Algebra as Mathematical Sense-Making.
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