Error Patterns in Computation

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Author :
Publisher : Macmillan College
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Error Patterns in Computation by : Robert B. Ashlock

Download or read book Error Patterns in Computation written by Robert B. Ashlock and published by Macmillan College. This book was released on 1994 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: As your students learn about mathematical operations and methods of computation, they may adopt erroneous procedures and misconceptions, despite your best efforts. This engaging book was written to model how you, the teacher, can make thoughtful analyses of your student's work, and in doing so, discover patterns in the errors they make. The text considers reasons why students may have learned erroneous procedures and presents strategies for helping those students. You will come away from the reading with a clear vision of how you can use student error patterns to gain more specific knowledge of their strengths on which to base your future instruction. Book jacket.

Error Patterns in Computation

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Author :
Publisher : Merrill Publishing Company
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Error Patterns in Computation by : Robert B. Ashlock

Download or read book Error Patterns in Computation written by Robert B. Ashlock and published by Merrill Publishing Company. This book was released on 1972 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Error Patterns in Computation

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Author :
Publisher : Prentice Hall
ISBN 13 : 9780131198869
Total Pages : 0 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Error Patterns in Computation by : Robert B. Ashlock

Download or read book Error Patterns in Computation written by Robert B. Ashlock and published by Prentice Hall. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflecting many of the concerns of NCTM's Principles and Standards for School Mathematics, the ninth edition of Error Patterns in Computation is the only book available that assists teachers with identifying typical error patterns, receiving feedback on their diagnosis, and gaining insight regarding why a child may have adopted an incorrect procedure. Two major causes of error patterns - over-generalizing and over-specializing - are discussed. Simple and well organized, this book explains common errors students make in computation in every math operation and with whole numbers, rational numbers, geometry and algebra. This book is an ideal resource for teachers of mathematics in education or special education at the elementary or middle school level.

Error Patterns in Computation

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Publisher : Pearson
ISBN 13 : 9780135009109
Total Pages : 0 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Error Patterns in Computation by : Robert B. Ashlock

Download or read book Error Patterns in Computation written by Robert B. Ashlock and published by Pearson. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only supplemental text of its kind that guides teachers to identify children's common mathematical error patterns and to gain insight regarding why a child may have adopted an incorrect mathematics procedure. Revised to link content to the new NCTM Standards, the tenth edition emphasizes the meaning of operations and appropriate methods of computation. As in previous editions, the book retains its focus on placing paper and pencil instructional activities within the context of problem solving. NEW! Places emphasis on diagnosis as a part of formative assessment. Teachers can use varied approaches to diagnosis before instruction and also as they intervene during instruction. Open-ended assessment and problem writing are two procedures illustrated.

Error Patterns in Computation

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Author :
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Error Patterns in Computation by : Robert B. Ashlock

Download or read book Error Patterns in Computation written by Robert B. Ashlock and published by Prentice Hall. This book was released on 2002 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the only one of its kind that instructs teachers to identify typical error patterns, to receive feedback on their diagnosis, and to gain insight regarding why a child may have adopted an incorrect procedure. Revised to link content to the new NCTM Standards, this new edition emphasizes the meaning of operations and using the appropriate method of computation. As in previous editions, it retains its focus on placing paper-and pencil instructional activities within the context of problem solving. Chapter topics cover diagnosing misconceptions and error patterns in computation, providing needed instruction in computation, and helping students who have learned error patterns. For mathematics teachers of special education classes or at the middle school level.

Error Patterns in Computation

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Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Error Patterns in Computation by : Robert B. Ashlock

Download or read book Error Patterns in Computation written by Robert B. Ashlock and published by . This book was released on 1986 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Strategies for Teaching Whole Number Computation

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Publisher : Corwin Press
ISBN 13 : 1452296340
Total Pages : 224 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Strategies for Teaching Whole Number Computation by : David B. Spangler

Download or read book Strategies for Teaching Whole Number Computation written by David B. Spangler and published by Corwin Press. This book was released on 2010-06-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through error analysis and targeted instruction, you can uncover students' misconceptions in addition, subtraction, multiplication, and division and help students understand and correct their own mistakes!

Encyclopedia of Special Education

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Publisher : John Wiley & Sons
ISBN 13 : 0471677981
Total Pages : 809 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Encyclopedia of Special Education by : Cecil R. Reynolds

Download or read book Encyclopedia of Special Education written by Cecil R. Reynolds and published by John Wiley & Sons. This book was released on 2007-01-02 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a thoroughly revised, comprehensive A to Z compilation of authoritative information on the education of those with special needs.

Mathematics and Computation

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Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Performance-Based Gear Metrology

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Publisher : John Wiley & Sons
ISBN 13 : 1118357892
Total Pages : 273 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Performance-Based Gear Metrology by : William D. Mark

Download or read book Performance-Based Gear Metrology written by William D. Mark and published by John Wiley & Sons. This book was released on 2012-11-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematically rigorous explanation of how manufacturing deviations and damage on the working surfaces of gear teeth cause transmission-error contributions to vibration excitations Some gear-tooth working-surface manufacturing deviations of significant amplitude cause negligible vibration excitation and noise, yet others of minuscule amplitude are a source of significant vibration excitation and noise. Presently available computer-numerically-controlled dedicated gear metrology equipment can measure such error patterns on a gear in a few hours in sufficient detail to enable accurate computation and diagnosis of the resultant transmission-error vibration excitation. How to efficiently measure such working-surface deviations, compute from these measurements the resultant transmission-error vibration excitation, and diagnose the manufacturing source of the deviations, is the subject of this book. Use of the technology in this book will allow quality spot checks to be made on gears being manufactured in a production run, to avoid undesirable vibration or noise excitation by the manufactured gears. Furthermore, those working in academia and industry needing a full mathematical understanding of the relationships between tooth working-surface deviations and the vibration excitations caused by these deviations will find the book indispensable for applications pertaining to both gear-quality and gear-health monitoring. Key features: Provides a very efficient method for measuring parallel-axis helical or spur gears in sufficient detail to enable accurate computation of transmission-error contributions from working-surface deviations, and algorithms required to carry out these computations, including examples Provides algorithms for computing the working-surface deviations causing any user-identified tone, such as ‘ghost tones,’ or ‘sidebands’ of the tooth-meshing harmonics, enabling diagnosis of their manufacturing causes, including examples Provides explanations of all harmonics observed in gear-caused vibration and noise spectra. Enables generation of three-dimensional displays and detailed numerical descriptions of all measured and computed working-surface deviations, including examples

Mathematics for Machine Learning

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Publisher : Cambridge University Press
ISBN 13 : 1108569323
Total Pages : 392 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Mathematics for Machine Learning by : Marc Peter Deisenroth

Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

Computational Complexity

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Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

The Language of Mathematics Education

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Publisher : BRILL
ISBN 13 : 9004412654
Total Pages : 140 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis The Language of Mathematics Education by : Shannon W. Dingman

Download or read book The Language of Mathematics Education written by Shannon W. Dingman and published by BRILL. This book was released on 2019-08-26 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Language of Mathematics Education: An Expanded Glossary of Key Terms and Concepts in Mathematics Teaching and Learning offers mathematics teachers, mathematics education professionals and students a valuable resource in which common terms are defined and expounded upon in short essay format. The shared vocabulary and terminology relating to mathematics teaching and learning, and used by mathematics educators is an essential component of work conducted in the field. The authors provide an overview of more than 100 terms commonly used in mathematics teaching and learning. Each term is defined and is followed by a short overview of the concept under discussion that includes several bibliographic references the reader can use for further investigation. In addition to terms specific to the domain of mathematics education, select key terms common across all fields of education (e.g., curriculum, epistemology, metacognition) are included. The goal for this book is to serve as a resource for those entering the field as they navigate the language and terminology of mathematics education and as an asset for more established professionals who wish to gain additional insights into these ideas.

Street-Fighting Mathematics

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Publisher : MIT Press
ISBN 13 : 0262265591
Total Pages : 152 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Street-Fighting Mathematics by : Sanjoy Mahajan

Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

Assessment that Informs Practice

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Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Assessment that Informs Practice by :

Download or read book Assessment that Informs Practice written by and published by . This book was released on 2000 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ENC Focus

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Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis ENC Focus by :

Download or read book ENC Focus written by and published by . This book was released on 2000 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for Computer Science

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Publisher :
ISBN 13 : 9789888407064
Total Pages : 988 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics for Computer Science by : Eric Lehman

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.