An Introduction To Abstract Algebra With Notes To The Future Teacher
DOWNLOAD
Download An Introduction To Abstract Algebra With Notes To The Future Teacher PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get An Introduction To Abstract Algebra With Notes To The Future Teacher book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
An Introduction To Abstract Algebra
DOWNLOAD
Author : Olympia Nicodemi
language : en
Publisher: Pearson
Release Date : 2007
An Introduction To Abstract Algebra written by Olympia Nicodemi and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Algebra, Abstract categories.
This traditional treatment of abstract algebra is designed for the particular needs of the mathematics teacher. Readers must have access to a Computer Algebra System (C. A. S.) such as Maple, or at minimum a calculator such as the TI 89 with C. A. S. capabilities. Includes "To the Teacher" sections that Draw connections from the number theory or abstract algebra under consideration to secondary mathematics. Provides historical context with "From the Past" sections in each chapter. Features "Worksheets" that outline the framework of a topic in most chapters. A useful reference for mathematics teachers who need to brush up on their abstract algebra skills. An Introduction to Abstract Algebra with Notes to the Future Teacher, 1/E Olympia Nicodemi Melissa A Sutherland Gary W Towsley
An Introduction To Abstract Algebra With Notes To The Future Teacher
DOWNLOAD
Author : Olympia E Nicodemi
language : en
Publisher: Pearson Education (Us)
Release Date : 2015-10-08
An Introduction To Abstract Algebra With Notes To The Future Teacher written by Olympia E Nicodemi and has been published by Pearson Education (Us) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-08 with categories.
For courses in Abstract Algebra.Designed for future mathematics teachers as well as mathematics students who are not planning careers in secondary education, this text offers a traditional course in abstract algebra along with optional notes that connect its mathematical content toschool mathematics.Elementarynumber theory and rings ofpolynomials are treated before group theory. Prerequisites include some experience with proof. (A brief appendix reviews certain basics of logic, proof, set theory, and functions.) Students should also have access to a Computer Algebra System (CAS), or a calculator with CAS capabilities. CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book."
The Greenwood Dictionary Of Education
DOWNLOAD
Author : Bloomsbury Publishing
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2011-07-19
The Greenwood Dictionary Of Education written by Bloomsbury Publishing and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-19 with Education categories.
This book defines over 3,000 terms from the field of education to assist those charged with teaching students to become global citizens in a rapidly changing, technological society. John W. Collins and Nancy Patricia O'Brien, coeditors of the first edition of The Greenwood Dictionary of Education published in 2003, have acknowledged and addressed these shifts. This revised second edition supplements the extensive content of the first through greater focus on subjects such as neurosciences in educational behavior, gaming strategies as a learning technique, social networking, and distance education. Terms have been revised, where necessary, to represent changes in educational practice and theory. The Dictionary's focus is on current and evolving terminology specific to the broad field of education, although terms from closely related fields used in the context of education are also included. Encompassing the history of education as well as its future trends, the updated second edition will aid in the understanding and use of terms as they apply to contemporary educational research, practice, and theory.
Connecting Abstract Algebra To Secondary Mathematics For Secondary Mathematics Teachers
DOWNLOAD
Author : Nicholas H. Wasserman
language : en
Publisher: Springer
Release Date : 2018-12-12
Connecting Abstract Algebra To Secondary Mathematics For Secondary Mathematics Teachers written by Nicholas H. Wasserman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Education categories.
Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.
Integers Polynomials And Rings
DOWNLOAD
Author : Ronald S. Irving
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-08
Integers Polynomials And Rings written by Ronald S. Irving and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-08 with Mathematics categories.
This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to matriculate in our university’s Master’s in Teaching p- gram for secondary mathematics teachers. This is the principal course they take involving abstraction and proof, and they come to it with perhaps as little background as a year of calculus and a quarter of linear algebra. The mathematical ability of the students varies widely, as does their level of ma- ematical interest.
Course And Curriculum Improvement Projects Mathematics Science Social Sciences
DOWNLOAD
Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1966
Course And Curriculum Improvement Projects Mathematics Science Social Sciences written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Introduction To Abstract Algebra
DOWNLOAD
Author : W. Keith Nicholson
language : en
Publisher: John Wiley & Sons
Release Date : 2012-03-20
Introduction To Abstract Algebra written by W. Keith Nicholson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-20 with Mathematics categories.
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text. The Fourth Edition features important concepts as well as specialized topics, including: The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises. Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.
DOWNLOAD
Author :
language : en
Publisher: IAP
Release Date :
written by and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Future Of The Teaching And Learning Of Algebra
DOWNLOAD
Author : Kaye Stacey
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-08-19
The Future Of The Teaching And Learning Of Algebra written by Kaye Stacey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-19 with Education categories.
This book presents a wide-ranging, international perspective on the state of the field of algebra from invited participants to the 12th ICMI Study Conference held in Melbourne, Australia in 2001. The authors are renowned academics from all around the world who have written individual chapters associated with the teaching and learning of algebra that relate to their particular areas of research and teaching expertise. The book includes information about different approaches to the teaching and learning of algebra - from early algebra to tertiary algebra, the impact of tools and technology (including Computer Algebra Systems), the role of symbols and language, teachers of algebra, and the history of algebra. The Future of the Teaching and Learning of Algebra: the 12th ICMI Study is of interest to researchers, curriculum developers, educational policy makers, teachers of mathematics, and trainee mathematics teachers.
Thinking Algebraically An Introduction To Abstract Algebra
DOWNLOAD
Author : Thomas Q. Sibley
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-08
Thinking Algebraically An Introduction To Abstract Algebra written by Thomas Q. Sibley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Education categories.
Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.