Algebraic Thinking, Grades K-12
Title | Algebraic Thinking, Grades K-12 PDF eBook |
Author | Barbara Moses |
Publisher | |
Pages | 0 |
Release | 1999 |
Genre | Algebra |
ISBN | 9780873534741 |
Algebra in the Early Grades
Title | Algebra in the Early Grades PDF eBook |
Author | James J. Kaput |
Publisher | Routledge |
Pages | 496 |
Release | 2017-09-25 |
Genre | Education |
ISBN | 1351577085 |
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.
Algebra in the Early Grades
Title | Algebra in the Early Grades PDF eBook |
Author | James J. Kaput |
Publisher | Routledge |
Pages | 552 |
Release | 2017-09-25 |
Genre | Education |
ISBN | 1351577093 |
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.
Algebraic Reasoning
Title | Algebraic Reasoning PDF eBook |
Author | Paul Gray |
Publisher | |
Pages | |
Release | 2016-09-01 |
Genre | |
ISBN | 9780988679696 |
Algebraic Reasoning is a textbook designed to provide high school students with a conceptual understanding of algebraic functions and to prepare them for Algebra 2..
Thinking Mathematically
Title | Thinking Mathematically PDF eBook |
Author | Thomas P. Carpenter |
Publisher | Heinemann Educational Books |
Pages | 166 |
Release | 2003 |
Genre | Education |
ISBN |
In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic
Early Algebraization
Title | Early Algebraization PDF eBook |
Author | Jinfa Cai |
Publisher | Springer Science & Business Media |
Pages | 631 |
Release | 2011-02-24 |
Genre | Education |
ISBN | 3642177352 |
In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.
Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5
Title | Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5 PDF eBook |
Author | Maria L. Blanton |
Publisher | |
Pages | 102 |
Release | 2011 |
Genre | Algebra |
ISBN | 9780873536684 |
Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships. This book shows that children can and do engage in generalising about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential understandings for developing algebraic thinking in grades 3-5. The big ideas relate to the fundamental properties of number and operations, the use of the equals sign to represent equivalence, variables as efficient tools for representing mathematical ideas, quantitative reasoning as a way to understand mathematical relationships and functional thinking to generalise relationships between covarying quantities. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers’ reflection.