Navigating Through Algebra In Grades 3 5
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Navigating Through Algebra in Grades 3-5
CD-ROM contains: Blackline masters for some of the activities illustrated in text -- Three applets for students to manipulate -- Resources for professional development.
Algebra in the Early Grades
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.
Navigating Through Number and Operations in Grades 3-5
In grades 3-5, students extend their understanding of place value, larger whole numbers, fractions and decimals. They develop an understanding of multiplication and division, mastering and applying basic facts. Concrete materials can help students represent and reinforce these important concepts. Activities in this book invite students to use fraction circles to compare fractions and dot arrays to explore multiplication and the distributive property. The authors present many other hands-on approaches, including the use of work mats, open number lines, multiplication ""chains"" and games with spinners. Numbers and the operations that we perform with them are the starting points for all mathematics. Accordingly, Principles and Standards for School Mathematics makes the Number and Operations Standard first among the five Content Standards and gives it centrality across the mathematics curriculum from prekindergarten through grade 12. The Navigations Series translates Principles and Standards for School Mathematics into action. Each book includes practical, teacher-tested activities and a supplemental CD-ROM that features applets for students' use and resources for teachers' professional development.