The Teaching Of Concrete Mathematics
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The Teaching Of Concrete Mathematics
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Author : John Wilder Tukey
language : en
Publisher:
Release Date : 1958
The Teaching Of Concrete Mathematics written by John Wilder Tukey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Computational mathematics and applications categories.
Concrete Mathematics
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Author : Ronald L. Graham
language : en
Publisher: Addison-Wesley Professional
Release Date : 1994-02-28
Concrete Mathematics written by Ronald L. Graham and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-02-28 with Computers categories.
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Concrete Mathematics A Foundation For Computer Science
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Author : Ronald L. Graham
language : en
Publisher: Pearson Education India
Release Date : 1994
Concrete Mathematics A Foundation For Computer Science written by Ronald L. Graham and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Asymptotic expansions categories.
Concrete Mathematics
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Author : Graham
language : en
Publisher:
Release Date : 1998
Concrete Mathematics written by Graham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Concrete Mathematics
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Author : Ronald L. Graham
language : en
Publisher:
Release Date : 2002
Concrete Mathematics written by Ronald L. Graham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Strengths Based Teaching And Learning In Mathematics
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Author : Beth McCord Kobett
language : en
Publisher: Corwin Press
Release Date : 2020-02-27
Strengths Based Teaching And Learning In Mathematics written by Beth McCord Kobett and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-27 with Education categories.
"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.
The Imperfect And Unfinished Math Teacher Grades K 12
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Author : Chase Orton
language : en
Publisher: Corwin Press
Release Date : 2022-02-24
The Imperfect And Unfinished Math Teacher Grades K 12 written by Chase Orton and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-24 with Education categories.
The system won’t do it for us. But we have each other. In The Imperfect and Unfinished Math Teacher: A Journey to Reclaim Our Professional Growth, master storyteller Chase Orton offers a vulnerable and courageous grassroots guide that leads K-12 math teachers through a journey to cultivate a more equitable, inclusive, and cohesive culture of professionalism for themselves...what he calls professional flourishment. The book builds from two bold premises. First, that as educators, we are all naturally imperfect and unfinished, and growth should be our constant goal. Second, that the last 40 years of top-down PD efforts in mathematics have rarely supplied teachers with what they need to equitably grow their practice and foster classrooms that are likewise empowered, inclusive, and cohesive. With gentle humanity, this book inspires teachers to break down silos, observe each others’ classrooms, interrogate their own biases, and put students at the center of everything they do in the math classroom. This book: Weaves raw and authentic stories—both personal and those from other educators—into a relatable and validating narrative Offers interactive opportunities to self-reflect, build relationships, seek new vantage on our teaching by observing others’ classrooms and students, and share and listen to other’s stories and experiences Asks teachers to give and accept grace as they work collaboratively to better themselves and the system from within, so that they can truly serve each of their students authentically and equitably Implementing the beliefs and actions in this book will position teachers to become more active partners in each other’s professional growth so that they can navigate the obstacles in their professional landscape with renewed focus and a greater sense of individual and collective efficacy. It equips teachers—and by extension, their students—to chart their own course and author their own equitable and joyful mathematical and professional stories.
Prospects For School Mathematics
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Author : Iris M. Carl
language : en
Publisher:
Release Date : 1995
Prospects For School Mathematics written by Iris M. Carl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This book offers a broad view for a varied audience of what the vision expressed in all three National Council of Teachers of Mathematics' Standards documents will look like when aligned with practice and outlines ways in which desired changes can be realized. Six sections and 21 chapters in the book are: Section I--History: (1) "Paths to the Present" (J. Kilpatrick, G. M. A. Stanic); Section II--Students: (2) "How Primary Students Think and Learn" (P. F. Campbell, M. L. Johnson), (3) "What Secondary Mathematics Students Can Do" (R. Borasi), (4) "Empowering All Students to Learn Mathematics" (G. J. Cuevas), (5) "Opportunity to Learn: Can Standards-Based Reform Be Equity-Based Reform?" (J. Oakes), (6) "Mathematics Excellence for Cultural 'Minority' Students: What Is the Problem?" (A. G. Hilliard III), and (7) "Trends in Mathematics Achievement for Young Men and Women" (N. Burton); Section III--Teachers and Teaching: (8) "How Should Mathematics Be Taught?" (G. Lappan, D. Briars), (9) "Teacher Preparation" (J. O. Swafford), (10) "Who Will Teach?" (S. M. McBay), (11) "The Highway to Personal Professional Development" (L. C. Bolster), and (12) "The National Board for Professional Teaching Standards: Making Professional Development 'Professional'" (J. A. Kelly); Section IV--Conent: (13) "Mathematics for Work and Life" (L. A. Steen, S. L. Forman), (14) "Changing the Mathematics We Teach" (C. Seeley), and (15) "Rich Conent" (R. P. Mills); Section V--Context: (16) "Schooling U.S.A." (J. I. Goodlad), (17) "Standards-Based Reform" (W. S. Cody), (18) "Challenges for Education Policy at the Turn of the Century" (S. H. Fuhrman), (19) "The Business and Industry Perspective" (D. Kearns), and (20) "The Public as Constituents" (R. Brown); and Section VI Afterword: (21) "The Workforce" (R. B. Reich). Each chapter contains a bibliography. (MKR)
Applied Discrete Structures
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Author : Ken Levasseur
language : en
Publisher: Lulu.com
Release Date : 2012-02-25
Applied Discrete Structures written by Ken Levasseur and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-25 with Applied mathematics categories.
Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
The Art And Craft Of Problem Solving
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Author : Paul Zeitz
language : en
Publisher: John Wiley & Sons
Release Date : 2017
The Art And Craft Of Problem Solving written by Paul Zeitz 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 2017 with Problem solving categories.
This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.