Algebraic Reasoning PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Algebraic Reasoning PDF full book. Access full book title Algebraic Reasoning by Paul Gray. Download full books in PDF and EPUB format.
Author: Paul Gray
Publisher:
ISBN: 9780988679696
Category :
Languages : en
Pages :
Get Book Here
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:
ISBN: 9780988679696
Category :
Languages : en
Pages :
Get Book Here
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: R.L. Cignoli
Publisher: Springer Science & Business Media
ISBN: 9401594805
Category : Mathematics
Languages : en
Pages : 238
Get Book Here
Book Description
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
ISBN: 0941355489
Category : Education
Languages : en
Pages : 331
Get Book Here
Book Description
Lessons for K-8 teachers on making algebra an integral part of their mathematics instruction.
Author: Anne Collins
Publisher: Stenhouse Publishers
ISBN: 1625310676
Category : Education
Languages : en
Pages : 237
Get Book Here
Book Description
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: Mark J. Driscoll
Publisher: Heinemann Educational Books
ISBN:
Category : Education
Languages : en
Pages : 176
Get Book Here
Book Description
Fostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping to ease their students' transition to algebra.
Author: Carolyn Kieran
Publisher: Springer
ISBN: 3319683519
Category : Education
Languages : en
Pages : 443
Get Book Here
Book Description
This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.
Author: James J. Kaput
Publisher: Routledge
ISBN: 1351577085
Category : Education
Languages : en
Pages : 496
Get Book Here
Book Description
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: Robert Femiano
Publisher:
ISBN: 9781601442277
Category :
Languages : en
Pages : 48
Get Book Here
Book Description
Author: Anne Collins
Publisher: Taylor & Francis
ISBN: 1003840892
Category : Education
Languages : en
Pages : 240
Get Book Here
Book Description
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 identify 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: Susan Jo Russell
Publisher: Heinemann Educational Books
ISBN: 9780325041919
Category : Education
Languages : en
Pages : 0
Get Book Here
Book Description
"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.
