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Author: Paul Gray
Publisher:
Published: 2016-09-01
Total Pages:
ISBN-13: 9780988679696
DOWNLOAD EBOOKAlgebraic 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: Maryann Wickett
Publisher: Math Solutions
Published: 2002
Total Pages: 331
ISBN-13: 0941355489
DOWNLOAD EBOOKLessons for K-8 teachers on making algebra an integral part of their mathematics instruction.
Author: Carolyn Kieran
Publisher: Springer
Published: 2017-12-04
Total Pages: 443
ISBN-13: 3319683519
DOWNLOAD EBOOKThis 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: R.L. Cignoli
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 238
ISBN-13: 9401594805
DOWNLOAD EBOOKThis 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: Carole E. Greenes
Publisher:
Published: 2008
Total Pages: 352
ISBN-13:
DOWNLOAD EBOOKExamines 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: Linus Christian Rollman
Publisher: Arbor Center for Teaching
Published: 2009-11
Total Pages: 185
ISBN-13: 0982136315
DOWNLOAD EBOOKFirst in the Arbor Algebra series. A writing-based, common sense, whimsical & engaging introduction to algebra for middle-grade math students.
Author: Robert Femiano
Publisher:
Published: 2011-08-31
Total Pages: 48
ISBN-13: 9781601442277
DOWNLOAD EBOOKAuthor: Mark J. Driscoll
Publisher: Heinemann Educational Books
Published: 1999
Total Pages: 176
ISBN-13:
DOWNLOAD EBOOKFostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping to ease their students' transition to algebra.
Author: Anne Collins
Publisher: Stenhouse Publishers
Published: 2017
Total Pages: 237
ISBN-13: 1625310676
DOWNLOAD EBOOKAccessible 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: Maria L. Blanton
Publisher:
Published: 2011
Total Pages: 102
ISBN-13: 9780873536684
DOWNLOAD EBOOKLike 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.
