Book Description
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..
Author : Paul Gray
Publisher :
Page : pages
File Size : 24,71 MB
Release : 2016-09-01
Category :
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..
Author : Anne Collins
Publisher : Stenhouse Publishers
Page : 237 pages
File Size : 30,92 MB
Release : 2017
Category : Education
ISBN : 1625310676
Accessible Algebra: 30 Modules to Promote Algebraic Reasoning, Grades 7-10 is for any pre-algebra or algebra teacher who wants to provide a rich and fulfilling experience for students as they develop new ways of thinking through and about algebra. The book includes 30 lessons that identifies a focal domain and standard in algebra, then lays out the common misconceptions and challenges students may face as they work to investigate and understand problems. Authors Anne Collins and Steven Benson conferred with students in real classrooms as the students explained what problem-solving strategies they were using or worked to ask the right questions that would lead them to a deeper understanding of algebra. Each scenario represents actual instances of an algebra classroom that demonstrate effective teaching methods, real-life student questions, and conversations about the problems at hand. Accessible Algebra works for students at every level. In each lesson there are sections on how to support struggling students, as well as ways to challenge students who may need more in-depth work. There are also numerous additional resources, including research articles and classroom vignettes.
Author : R.L. Cignoli
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 43,37 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 9401594805
This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as a simple proof of the completeness theorem and of the equivalence between Chang's MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics.
Author : Maryann Wickett
Publisher : Math Solutions
Page : 331 pages
File Size : 33,97 MB
Release : 2002
Category : Education
ISBN : 0941355489
Lessons for K-8 teachers on making algebra an integral part of their mathematics instruction.
Author : James J. Kaput
Publisher : Routledge
Page : 496 pages
File Size : 43,73 MB
Release : 2017-09-25
Category : 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.
Author : Carole E. Greenes
Publisher :
Page : 352 pages
File Size : 16,60 MB
Release : 2008
Category : Education
ISBN :
Examines the status of algebra in our schools and the changes that the curriculum has undergone over the past several years. Includes successful classroom practises for developing algebraic reasoning abilities and improving overall understanding.
Author : Robert Femiano
Publisher :
Page : 48 pages
File Size : 36,35 MB
Release : 2011-08-31
Category :
ISBN : 9781601442277
Author : Mark J. Driscoll
Publisher : Heinemann Educational Books
Page : 176 pages
File Size : 20,34 MB
Release : 1999
Category : Education
ISBN :
Fostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping to ease their students' transition to algebra.
Author : Carole E. Greenes
Publisher :
Page : pages
File Size : 14,47 MB
Release : 2006
Category : Algebra
ISBN : 9781404531918
Author : Maria L. Blanton
Publisher :
Page : 102 pages
File Size : 20,12 MB
Release : 2011
Category : 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.