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Encountering Algebra


Encountering Algebra
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Encountering Algebra


Encountering Algebra
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Author : Cecilia Kilhamn
language : en
Publisher: Springer
Release Date : 2019-07-03

Encountering Algebra written by Cecilia Kilhamn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Education categories.


The book reports a comparative research project about algebra teaching and learning in four countries. Algebra is a central topic of learning across the world, and it is well-known that it represents a hurdle for many students. The book presents analyses built on extensive video-recordings of classrooms documenting the first introduction to symbolic algebra (students aged 12 to 14). While the content addressed in all classrooms is variables, expressions and equations, the teaching approaches are diverse. The chapters bring the reader into different algebra classrooms, discussing issues such as mathematization and social norms, the role of mediating tools and designed examples, and teacher beliefs. By comparing classrooms, new insights are generated about how students understand the algebraic content, how teachers instruct, and how both parties deal with difficulties in learning elementary algebra. The book also describes a research methodology using video in search of taken-for-grantedaspects of algebra lessons.



Planting The Seeds Of Algebra Prek 2


Planting The Seeds Of Algebra Prek 2
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Author : Monica Neagoy
language : en
Publisher: Corwin Press
Release Date : 2012-04-20

Planting The Seeds Of Algebra Prek 2 written by Monica Neagoy and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Education categories.


The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...



Developing Thinking In Algebra


Developing Thinking In Algebra
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Author : John Mason
language : en
Publisher: SAGE
Release Date : 2005-04-23

Developing Thinking In Algebra written by John Mason and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-23 with Mathematics categories.


By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, this book makes it possible for all learners to succeed in thinking algebraically.



Mathematical Encounters


Mathematical Encounters
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Author : Paul Chika Emekwulu
language : en
Publisher: Xlibris Corporation
Release Date : 2010-12-29

Mathematical Encounters written by Paul Chika Emekwulu and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-29 with Mathematics categories.


Norman Author Pens Innovative Math Book "Mathematical Encounters for the Inquisitive Mind" a new work by Paul Chika Emekwulu of Norman takes an original approach to math. Emekwulu, an award-winning author and motivational speaker, hopes his works has something for everyone. The work is not strictly in line with any traditional curriculum. Sample Chapters include: A Student ́s Logic Under Trial: Verifying a summation strategy for first n Fibonacci numbers From Murder Scene to Building and Transforming Word Problems into Simple Equations Using Your Intuition for Self-Empowerment Mathematics Behind Bars: My Experience with U.S. Immigration (Courtesy of The Norman Transcript)



Undergraduate Algebra


Undergraduate Algebra
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Author : Matej Brešar
language : en
Publisher: Springer
Release Date : 2019-05-15

Undergraduate Algebra written by Matej Brešar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-15 with Mathematics categories.


This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal ideal domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.



Dynamics Of Complex And Irregular Systems Bielefeld Encounters In Mathematics And Physics Viii


Dynamics Of Complex And Irregular Systems Bielefeld Encounters In Mathematics And Physics Viii
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Author : P H Blanchard
language : en
Publisher: World Scientific
Release Date : 1993-10-29

Dynamics Of Complex And Irregular Systems Bielefeld Encounters In Mathematics And Physics Viii written by P H Blanchard and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-29 with categories.


The papers presented in this volume cover a number of different aspects of stochastic analysis, probability theory, quantum field theory, functional integration, ergodic theory, quantum theory, statistical modelling, random graph theory and percolation theory. The lectures also point out strong interactions between various fields: the fertility of the relations between probability theory and quantum theory and the intriguing and economical way of deriving the classical standard model by using non-commutative geometry, in the approach proposed by connes and lott.



Discrete Encounters


Discrete Encounters
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Author : Craig Bauer
language : en
Publisher: CRC Press
Release Date : 2020-05-14

Discrete Encounters written by Craig Bauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Mathematics categories.


Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated



Mathematical Encounters Of The Second Kind


Mathematical Encounters Of The Second Kind
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Author : Philip J. Davis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Encounters Of The Second Kind written by Philip J. Davis 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 2012-12-06 with Science categories.


A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described how it came about that they entered their various fields. I was invited to participate in this series and found in the invitation an opportunity to recall events going back to my early teens. The lecture was well received and its reception encouraged me to work up an expanded version. My manuscript lay dormant all these years. In the meanwhile, sufficiently many other mathematical experiences and encounters accumulated to make this little book. My 1981 lecture is the basis of the first piece: "Napoleon's Theorem. " Although there is a connection between the first piece and the second, the four pieces here are essentially independent. The sec ond piece, "Carpenter and the Napoleon Ascription," has as its object a full description of a certain type of scholar-storyteller (of whom I have known and admired several). It is a pastiche, contain ing a salad bar selection blended together by my own imagination. This piece purports, as a secondary goal, to present a solution to a certain unsolved historical problem raised in the first piece. The third piece, "The Man Who Began His Lectures with 'Namely'," is a short reminiscence of Stefan Bergman, one of my teachers of graduate mathematics. Bergman, a remarkable person ality, was born in Poland and came to the United States in 1939.



Differentiated Pathways Of The Brain


Differentiated Pathways Of The Brain
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Author : Dr. Linda Karges-Bone
language : en
Publisher: Lorenz Educational Press
Release Date : 2010-09-01

Differentiated Pathways Of The Brain written by Dr. Linda Karges-Bone and has been published by Lorenz Educational Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with Education categories.


Which colors can stimulate creative thinking? What scents might help to calm a child who has anxiety? Why do certain classroom groupings facilitate learning, while others create tension? How can boys harness their boundless energy to attack language arts or girls draw on their strong verbal skills to make the most of a mathematics problem? Using current brain research, this book discusses sensory-rich learning techniques and gender-specific teaching methods used to stimulate the minds of your students. Based on Dr. Karges-Bone?s successful books Beyond Hands-On and More Than Pink and Blue, this resource is a must-read for all teachers exploring differentiated pathways of the brain!



Encounters With Euclid


Encounters With Euclid
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Author : Benjamin Wardhaugh
language : en
Publisher: Princeton University Press
Release Date : 2023-11-14

Encounters With Euclid written by Benjamin Wardhaugh and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-14 with Mathematics categories.


A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.