encountering-algebra

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Encountering Algebra

Author : Cecilia Kilhamn
ISBN : 9783030175771
Genre : Education
File Size : 22. 22 MB
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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-granted aspects of algebra lessons.

Planting The Seeds Of Algebra Prek 2

Author : Monica Neagoy
ISBN : 9781452279701
Genre : Education
File Size : 45. 12 MB
Format : PDF
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Help young minds explore algebraic concepts This book shows teachers how to create a strong foundation in algebra for very young children. Using in-depth math “explorations,” the author unpacks—step by step—the hidden connections to higher algebra. Each exploration contains an elegantly simple grade-banded lesson (on addition, subtraction, patterns, and odd and even numbers), followed by a discussion of the lesson's algebra connections, as well as suggestions for additional problems to explore. Throughout, readers will find: Clear explanations of algebraic connections Specific strategies for teaching the key ideas of algebra Lesson modifications for older or younger students An array of age-appropriate problems and games

Math

Author : Serge Lang
ISBN : 9781475718607
Genre : Mathematics
File Size : 56. 11 MB
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Mathematical Encounters

Author : Paul Chika Emekwulu
ISBN : 9781453551035
Genre : Mathematics
File Size : 82. 29 MB
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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)

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

Author : Blanchard P H
ISBN : 9789814552325
Genre :
File Size : 79. 14 MB
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This volume includes papers by leading mathematicians in the fields of stochastic analysis, white noise theory and quantum information, together with their applications. The papers selected were presented at the International Conference on Stochastic Analysis: Classical and Quantum held at Meijo University, Nagoya, Japan from 1 to 5 November 2004. The large range of subjects covers the latest research in probability theory.

Planting The Seeds Of Algebra 3 5

Author : Monica Neagoy
ISBN : 9781483379760
Genre : Education
File Size : 70. 96 MB
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Give your students a foundation of algebra for math success – now and in the future! Students and teachers must become friendly with algebraic foundations, as they have increasingly become the gateway to careers in the STEM fields. Monica Neagoy empowers teachers to embrace algebra and connect it to higher math concepts, tuning you and your students to algebraic thinking, reasoning, and doing. You’ll discover: ?Four explorations to help you weave key algebraic ideas into everyday mathematics Step-by-step lessons from real classrooms that will guide you in teaching concepts and in establishing their relevance and applicability New methods that break down difficult algebraic concepts and build a critical foundation for higher math

Prealgebra

Author : Tom Carson
ISBN : 0201655535
Genre : Mathematics
File Size : 45. 43 MB
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Using a unique study plan to help students succeed, Prealgebra is a book for the student. The author's goal is to help build students' confidence, understanding, and appreciation of math and basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. To help with poor study habits, the book introduces and integrates a study plan that uses color, note-taking tips, test-taking tips, general time-management skills, and a learning style inventory to provide students with real structure and guidance for this and other courses.Motivation is created throughout the text by a wealth of relevant applications that truly speak to today's students. Trivia bites and historical notes are also included to show where the mathematical concepts come from and to help students relate these concepts to their everyday lives.Tom Carson's writing style is extremely student-friendly. He talks to the students in their own language and walks them through the concepts, explaining not only how to do the math, but also why it works and where it comes from rather than the monkey-see, monkey-do approach that many other books take

Introduction To Boolean Algebras

Author : Steven Givant
ISBN : 9780387402932
Genre : Mathematics
File Size : 90. 6 MB
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This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.

Abstract Algebra

Author : Ronald Solomon
ISBN : 0821847953
Genre : Mathematics
File Size : 52. 7 MB
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This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17-gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter.

Elementary Algebra For The Use Of Preparatory Schools

Author : Charles Smith
ISBN : UCAL:$B306438
Genre : Algebra
File Size : 59. 97 MB
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Introduction To Noncommutative Algebra

Author : Matej Brešar
ISBN : 9783319086934
Genre : Mathematics
File Size : 83. 29 MB
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Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.

Elementary Algebra For Schools

Author : Henry Sinclair Hall
ISBN : HARVARD:32044102873593
Genre : Algebra
File Size : 83. 57 MB
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Elementary Algebra For Schools

Author : Henry Sinclair HALL (and KNIGHT (Samuel Ratcliffe))
ISBN : NYPL:33433087560599
Genre :
File Size : 30. 77 MB
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Graph Algebra

Author : Courtney Brown
ISBN : 9781412941099
Genre : Mathematics
File Size : 38. 84 MB
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Derived from engineering literature that uses similar techniques to map electronic circuits and physical systems, graph algebra utilizes a systems approach to modelling that offers social scientists a variety of tools that are both sophisticated and easily applied.

New Higher Algebra

Author : Benjamin Greenleaf
ISBN : HARVARD:32044097010870
Genre :
File Size : 44. 86 MB
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A Key To The Elementary Algebra

Author : Benjamin Greenleaf
ISBN : HARVARD:HN27AI
Genre :
File Size : 75. 26 MB
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A Key To The New Higher Algebra

Author : Benjamin Greenleaf
ISBN : HARVARD:32044097010060
Genre : Algebra
File Size : 71. 40 MB
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Principles Of Linear Algebra With Mathematica

Author : Kenneth M. Shiskowski
ISBN : 9781118627266
Genre : Mathematics
File Size : 30. 33 MB
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A hands-on introduction to the theoretical and computationalaspects of linear algebra using Mathematica® Many topics in linear algebra are simple, yet computationallyintensive, and computer algebra systems such as Mathematica®are essential not only for learning to apply the concepts tocomputationally challenging problems, but also for visualizing manyof the geometric aspects within this field of study. Principles ofLinear Algebra with Mathematica uniquely bridges the gap betweenbeginning linear algebra and computational linear algebra that isoften encountered in applied settings, and the commands required tosolve complex and computationally challenging problems usingMathematica are provided. The book begins with an introduction to the commands andprogramming guidelines for working with Mathematica. Next, theauthors explore linear systems of equations and matrices,applications of linear systems and matrices, determinants,inverses, and Cramer's rule. Basic linear algebra topics, such asvectors, dot product, cross product, and vector projection areexplored, as well as a unique variety of more advanced topicsincluding rotations in space, 'rolling' a circle along a curve, andthe TNB Frame. Subsequent chapters feature coverage of lineartransformations from Rn to Rm, the geometry of linear and affinetransformations, with an exploration of their effect on arclength,area, and volume, least squares fits, and pseudoinverses. Mathematica is used to enhance concepts and is seamlesslyintegrated throughout the book through symbolic manipulations,numerical computations, graphics in two and three dimensions,animations, and programming. Each section concludes with standardproblems in addition to problems that were specifically designed tobe solved with Mathematica, allowing readers to test theircomprehension of the presented material. All related Mathematicacode is available on a corresponding website, along with solutionsto problems and additional topical resources. Extensively class-tested to ensure an accessible presentation,Principles of Linear Algebra with Mathematica is an excellent bookfor courses on linear algebra at the undergraduate level. The bookis also an ideal reference for students and professionals who wouldlike to gain a further understanding of the use of Mathematica tosolve linear algebra problems.

Computer Algebra In Scientific Computing

Author : Vladimir P. Gerdt
ISBN : 9783642235672
Genre : Computers
File Size : 34. 22 MB
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This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from numerous submissions. The articles are organized in topical sections on the development of object oriented computer algebra software for the modeling of algebraic structures as typed objects; matrix algorithms; the investigation with the aid of computer algebra; the development of symbolic-numerical algorithms; and the application of symbolic computations in applied problems of physics, mechanics, social science, and engineering.

Journal For Research In Mathematics Education

Author :
ISBN : STANFORD:36105131504198
Genre : Mathematics
File Size : 30. 94 MB
Format : PDF
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