Accessible Algebra

Author : Anne Collins,Steven Benson
Publisher : Taylor & Francis
Page : 240 pages
File Size : 46,8 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003840893

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Accessible Algebra by Anne Collins,Steven Benson Pdf

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 : Anne Collins,Steven Benson
Publisher : Stenhouse Publishers
Page : 237 pages
File Size : 50,6 Mb
Release : 2017
Category : Education
ISBN : 9781625310675

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Accessible Algebra by Anne Collins,Steven Benson Pdf

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 : Francis Borceux
Publisher : Cambridge University Press
Page : 470 pages
File Size : 54,7 Mb
Release : 1994-11-03
Category : Mathematics
ISBN : 9780521441797

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Handbook of Categorical Algebra: Volume 2, Categories and Structures by Francis Borceux Pdf

The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.

Author : Yeliz Yesilada,Simon Harper
Publisher : Springer
Page : 807 pages
File Size : 46,8 Mb
Release : 2019-06-03
Category : Computers
ISBN : 9781447174400

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Web Accessibility by Yeliz Yesilada,Simon Harper Pdf

Covering key areas of evaluation and methodology, client-side applications, specialist and novel technologies, along with initial appraisals of disabilities, this important book provides comprehensive coverage of web accessibility. Written by leading experts in the field, it provides an overview of existing research and also looks at future developments, providing a much deeper insight than can be obtained through existing research libraries, aggregations, or search engines.

Author : J. Richard Büchi
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 45,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781461388531

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Finite Automata, Their Algebras and Grammars by J. Richard Büchi Pdf

The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science. In the first part of the book he presents the new classical theory of finite automata as unary algebras which he himself invented about 30 years ago. Many results, like his work on structure lattices or his characterization of regular sets by generalized regular rules, are unknown to a wider audience. In the second part of the book he extends the theory to general (non-unary, many-sorted) algebras, term rewriting systems, tree automata, and pushdown automata. Essentially Büchi worked independent of other rersearch, following a novel and stimulating approach. He aimed for a mathematical theory of terms, but could not finish the book. Many of the results are known by now, but to work further along this line presents a challenging research program on the borderline between universal algebra, term rewriting systems, and automata theory. For the whole book and again within each chapter the author starts at an elementary level, giving careful explanations and numerous examples and exercises, and then leads up to the research level. In this way he covers the basic theory as well as many nonstandard subjects. Thus the book serves as a textbook for both the beginner and the advances student, and also as a rich source for the expert.

Author : Nicholas H. Wasserman
Publisher : Springer
Page : 461 pages
File Size : 54,7 Mb
Release : 2018-12-12
Category : Education
ISBN : 9783319992143

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Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by Nicholas H. Wasserman Pdf

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.

Author : Gheorghe Stefanescu
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447104797

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Network Algebra by Gheorghe Stefanescu Pdf

Network algebra considers the algebraic study of networks and their behavior. It approaches the models in a sharp and simple manner. This book takes an integrated view of a broad range of applications, varying from concrete hardware-oriented models to high-level software-oriented models.

Author : Alexander A Gushchin
Publisher : Elsevier
Page : 208 pages
File Size : 52,9 Mb
Release : 2015-08-26
Category : Mathematics
ISBN : 9780081004760

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Stochastic Calculus for Quantitative Finance by Alexander A Gushchin Pdf

In 1994 and 1998 F. Delbaen and W. Schachermayer published two breakthrough papers where they proved continuous-time versions of the Fundamental Theorem of Asset Pricing. This is one of the most remarkable achievements in modern Mathematical Finance which led to intensive investigations in many applications of the arbitrage theory on a mathematically rigorous basis of stochastic calculus. Mathematical Basis for Finance: Stochastic Calculus for Finance provides detailed knowledge of all necessary attributes in stochastic calculus that are required for applications of the theory of stochastic integration in Mathematical Finance, in particular, the arbitrage theory. The exposition follows the traditions of the Strasbourg school. This book covers the general theory of stochastic processes, local martingales and processes of bounded variation, the theory of stochastic integration, definition and properties of the stochastic exponential; a part of the theory of Lévy processes. Finally, the reader gets acquainted with some facts concerning stochastic differential equations. Contains the most popular applications of the theory of stochastic integration Details necessary facts from probability and analysis which are not included in many standard university courses such as theorems on monotone classes and uniform integrability Written by experts in the field of modern mathematical finance

Author : Robert G. Bill
Publisher : Xlibris Corporation
Page : 441 pages
File Size : 43,5 Mb
Release : 2014-07-31
Category : Education
ISBN : 9781493198313

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Images of Mathematics Viewed Through Number, Algebra, and Geometry by Robert G. Bill Pdf

Mathematics is often seen only as a tool for science, engineering, and other quantitative disciplines. Lost in the focus on the tools are the intricate interconnecting patterns of logic and ingenious methods of representation discovered over millennia which form the broader themes of the subject. This book, building from the basics of numbers, algebra, and geometry provides sufficient background to make these themes accessible to those not specializing in mathematics. The various topics are also covered within the historical context of their development and include such great innovators as Euclid, Descartes, Newton, Cauchy, Gauss, Lobachevsky, Riemann, Cantor, and Gödel, whose contributions would shape the directions that mathematics would take. The detailed explanations of all subject matter along with extensive references are provided with the goal of allowing readers an entrée to a lifetime of the unique pleasures of mathematics. Topics include the axiomatic development of number systems and their algebraic rules, the role of infinity in the real and transfinite numbers, logic, and the axiomatic path from traditional to non-Euclidean geometries. The themes of algebra and geometry are then brought together through the concepts of analytic geometry and functions. With this background, more advanced topics are introduced: sequences, vectors, tensors, matrices, calculus, set theory, and topology. Drawing the common themes of this book together, the final chapter discusses the struggle over the meaning of mathematics in the twentieth century and provides a meditation on its success

Author : W. E. Deskins
Publisher : Courier Corporation
Page : 656 pages
File Size : 41,8 Mb
Release : 2012-05-24
Category : Mathematics
ISBN : 9780486158464

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Abstract Algebra by W. E. Deskins Pdf

Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

Author : Anonim
Publisher : Unknown
Page : 636 pages
File Size : 50,6 Mb
Release : 1997
Category : Technology
ISBN : MINN:31951P00696149R

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NASA Tech Briefs by Anonim Pdf

Author : David Eisenbud,Daniel R. Grayson,Mike Stillman,Bernd Sturmfels
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 50,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662048511

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Computations in Algebraic Geometry with Macaulay 2 by David Eisenbud,Daniel R. Grayson,Mike Stillman,Bernd Sturmfels Pdf

This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.

Author : Ad Meskens
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 51,9 Mb
Release : 2010-09-24
Category : Mathematics
ISBN : 9783034606431

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Travelling Mathematics - The Fate of Diophantos' Arithmetic by Ad Meskens Pdf

In this book the author presents a comprehensive study of Diophantos’ monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing. Starting with Egyptian, Babylonian and early Greek mathematics the author paints a picture of the sources the Arithmetika may have had. Life in Alexandria, where Diophantos lived, is described and, on the basis of the limited available evidence, his biography is outlined. Of Arithmetika’s 13 books only 6 survive in Greek. It was not until 1971 that these were complemented by the discovery of 4 other books in an Arab translation. This allows the author to describe the structure, the contents and the mathematics of the Arithmetika in detail. Furthermore it is shown that Diophantos had a remarkable skill to solve higher degree equations. In the second part, the author draws our attention to the survival of Diophantos’ work in both Arab and European mathematical cultures. Once Xylander’s critical 1575 edition reached its European public, the fame of the Arithmetika grew. It was studied, translated and modified by such authors as Bombelli, Stevin and Viète. It reached its pinnacle of fame in 1621 with the publication of Bachet’s translation into Latin. The marginal notes by Fermat in his copy of Diophantos, including his famous “Last Theorem”, were the starting point of a whole new research subject: the theory of numbers.

Author : Wendy W. Murawski,Kathy Lynn Scott
Publisher : Corwin Press
Page : 344 pages
File Size : 42,6 Mb
Release : 2019-03-07
Category : Education
ISBN : 9781544338699

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What Really Works With Universal Design for Learning by Wendy W. Murawski,Kathy Lynn Scott Pdf

Learn how to REALLY improve outcomes for all students How do we remove learning barriers and provide all students with the opportunity to succeed? Written for both general and special educators from grades Pre-K through 12, What Really Works with Universal Design for Learning is the how-to guide for implementing aspects of Universal Design Learning (UDL) to help every student be successful. UDL is the design and delivery of curriculum and instruction to meet the needs of all learners by providing them with choices for what and why they are learning and how they will share what they have learned. Calling on a wide-range of expert educators, this resource features An unprecedented breadth of UDL topics, including multiple content areas, pedagogical issues, and other critical topics like executive function, PBIS, and EBD Reproducible research-based, field-tested tools Practical strategies that are low cost, time efficient, and easy to implement Practices for developing shared leadership and for working with families Educators want to see each and every student succeed. This teacher-friendly, hands-on resource shows how UDL can be used to build the flexibility required to meet students’ strengths and needs without overwhelming teachers in the process

Author : Robert S. Doran,Efton Park
Publisher : American Mathematical Soc.
Page : 267 pages
File Size : 50,9 Mb
Release : 2016-07-28
Category : Operator algebras
ISBN : 9781470419486

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Operator Algebras and Their Applications by Robert S. Doran,Efton Park Pdf

his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.