Download or read book Beyond Invert and Multiply Grades 3 6 written by Julie McNamara and published by Math Solutions Publications. This book was released on 2015 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource builds on the foundational understandings that are described inBeyond Pizzas and Pies: 10 Essential Strategies for Supporting Fraction Sense and applies them to situations involving fraction computation. The eight stand-alone chapters are organized within the same friendly, easily accessible framework asBeyond Pizzas and Pies. Each chapter offers classroom activities for investigating the meaning of fractions; fractions as numbers; fraction addition and subtraction; fraction multiplication and division; and classroom discussions on fractions. Activities are connected to the Common Core State Standards and include reproducibles. The accompanying DVD brings to life many of the activities in the book, featuring more than 30 authentic classroom video clips.
Download or read book Number Talks written by Sherry Parrish and published by Math Solutions. This book was released on 2010 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A multimedia professional learning resource"--Cover.
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.
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
Download or read book Multiplying Fractions written by Remedia Publications and published by Remedia Publications. This book was released on 2021-12-30 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grade Level: 3-6 CCSS Level: 4-6 Making fractions make sense! This 23-lesson learning unit is packed with hundreds of sequential fraction activities featuring both computation and word problems. As the third book in a series – following Adding Fractions and Subtracting Fractions – these exercises are designed to build upon what students have already learned. From “writing reciprocals of fractions, whole numbers, and mixed numbers,” to “multiplying a proper fraction by a proper fraction,” and on to “using a banana bread recipe to multiply fractions,” the activities in this book progress from learning basic concepts to mastering an understanding of how to multiply fractions. A Post Test and Answer Key are included.
Download or read book Enright Computation Series written by Brian E. Enright and published by . This book was released on 1999-01-01 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Working with Fractions written by Loretta Taylor and published by . This book was released on 2000 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive practice helps students sharpen the core computational skills they need to succeed in the math classroom and improve performance on standardized tests. Teachers, students, and families have successfully used these materials at all levels from 4th grade through high school and beyond. There is a total of 18,000 problems in the practice books, which contain carefully sequenced worksheets, featuring one or two specific skills each to help students develop math skills in a natural sequence. The test book contains 160 quizzes and 4 semester tests. Use the quizzes for weekly check-ups, review, extra practice, or skills maintenance. The semester tests can serve as final exams and practice for standardized tests. Anyone who wants to teach or gain mastery of computational proficiency will benefit from this resource -- in independent study, the classroom, and at home.
Download or read book Good Math written by Mark C. Chu-Carroll and published by Pragmatic Bookshelf. This book was released on 2013-07-18 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.
Download or read book Let s Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry of Continued Fractions written by Oleg Karpenkov and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.
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 225 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!
Download or read book Number Talks written by Sherry Parrish and published by Math Solutions Publications. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This resource was created in response to the requests of teachers--those who want to implement number talks but are unsure of how to begin, and those with experience who want more guidance in crafting purposeful problems."--Page 4 de la couverture.
Download or read book Secrets of Mental Math written by Arthur Benjamin and published by Crown. This book was released on 2008-06-03 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.
Download or read book Mental Computation and Estimation written by Charalampos Lemonidis and published by Routledge. This book was released on 2015-12-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mental calculations and estimations are basic, everyday skills that are essential for real-life arithmetic operations and number sense. This book presents a much needed overview and analysis of mental computation and estimation, drawing on contemporary research and empirical studies that were conducted on students, teachers and adults to cover all aspects of this complex field. Mental Computation and Estimation analyses the implications that are involved in the research, teaching and learning of mathematics and delivers effective practices that will enhance everyday learning for students. Focusing on a range of international research and studies from the School of Nature and Life Mathematics in Greece, it answers a number of important questions including: What mental calculations and estimations are, why they are important and what other mathematical concepts and cognitive behaviors are they related to? What strategies are used on mental additions, subtractions, multiplications and divisions and how are multiplication tables learned? What are the new trends in the teaching of mental calculation and estimation? An invaluable resource for all those involved in the practice and research of mathematics education, Mental Computation and Estimation will also be a useful tool for researchers, policy makers and developers of educational programs.
Download or read book Fractional Computation written by Andrew Kevin Tracy and published by . This book was released on 2020 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study is to determine if there are significant benefits to teaching fractional computation to students in a small group setting. According to the National Mathematics Advisory Panel (2008), "Fractions are considered one of the most difficult areas for students to understand and compute, yet they are considered to be an important foundational skill for advanced mathematics." Students are taught fractional computation in the fourth and fifth grade and still have great difficulty with basic computations because they confuse the procedures for the different operations, and do not fully understand why they are manipulating fractions. According to Watt (2016), students struggling in math often lack understanding of fraction equivalency, which is key to advanced skills such as probability, rate, ratios, and functions. This study took two randomly selected groups of 6th grade students and administered small, flex-group style instruction to the treatment group (6T) and traditional whole group instruction to the control group (6B). Both groups were instructed with the district’s curriculum, which incorporated fractional computation within its content, however the treatment group received additional instruction specifically in the computation and understanding of fractional arithmetic. Students in both groups were given a pretest to form a baseline set of data. It was concluded that there were no significant differences between the two groups scores based on their respective means. After the treatment was given, a posttest was given and analyzed. This research concluded that providing students with direct instruction in fractional arithmetic, significantly affects the knowledge and ability to improve in fraction arithmetic. While both groups of students showed gains in this area, the treatment group outperformed the control group. Research concluded that students who are taught fractional computation in small groups, benefit highly from this type of instruction.
Download or read book Understanding Information and Computation written by Philip Tetlow and published by CRC Press. This book was released on 2016-02-24 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The World Wide Web is truly astounding. It has changed the way we interact, learn and innovate. It is the largest sociotechnical system humankind has created and is advancing at a pace that leaves most in awe. It is an unavoidable fact that the future of the world is now inextricably linked to the future of the Web. Almost every day it appears to change, to get better and increase its hold on us. For all this we are starting to see underlying stability emerge. The way that Web sites rank in terms of popularity, for example, appears to follow laws with which we are familiar. What is fascinating is that these laws were first discovered, not in fields like computer science or information technology, but in what we regard as more fundamental disciplines like biology, physics and mathematics. Consequently the Web, although synthetic at its surface, seems to be quite 'natural' deeper down, and one of the driving aims of the new field of Web Science is to discover how far down such ’naturalness’ goes. If the Web is natural to its core, that raises some fundamental questions. It forces us, for example, to ask if the central properties of the Web might be more elemental than the truths we cling to from our understandings of the physical world. In essence, it demands that we question the very nature of information. Understanding Information and Computation is about such questions and one possible route to potentially mind-blowing answers.
Download or read book Beyond Invert Multiply Making Sense of Fraction Computation written by Julie McNamara and published by Heinemann Educational Books. This book was released on 2022-05-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond Invert & Multiply paves the way for success with fraction computation This book builds on the foundational understandings that are described in Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fraction Sense and applies them to situations involving fraction computation. You'll find: Classroom Scenarios that address common challenges students (and teachers!) encounter as they learn to operate with fractions What's the Math? sections intended to clarify the mathematics What's the Research? insights that show why that's the way we've always done things might not be the most successful approach Classroom Activities with friendly, step-by-step instructions and video clips demonstrating how to teach the concepts Reproducibles that are available in a downloadable format Study Questions at the end of each chapter that encourage readers to set concrete goals for implementing what they've read This resource features more than 30 streaming video clips filmed in actual classrooms so you can see this work in action. When I see teachers and they talk to me about how much Beyond Pizzas & Pies has been a great support to them, the next question is usually, 'When are you going to author a book about computation? My students are starting to have foundational knowledge of fractions but they really have struggles with computation.' In answer to teachers' needs, I'm excited to welcome you to Beyond Invert & Multiply. (Julie McNamara, author of Beyond Invert & Multiply and coauthor of Beyond Pizzas & Pies)
