Examples In Arithmetic And Algebra

Author : Susan Jo Russell,Deborah Schifter,Virginia Bastable
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 45,5 Mb
Release : 2011
Category : Education
ISBN : 0325041911

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Connecting Arithmetic to Algebra by Susan Jo Russell,Deborah Schifter,Virginia Bastable Pdf

"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 50,8 Mb
Release : 1835
Category : Algebra
ISBN : OCLC:1342607353

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Arithmetic and Algebra by Anonim Pdf

Author : Andrew Hacker
Publisher : New Press, The
Page : 257 pages
File Size : 42,5 Mb
Release : 2010-05-25
Category : Education
ISBN : 9781620970690

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The Math Myth by Andrew Hacker Pdf

A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review

Author : Samuel Newth
Publisher : Unknown
Page : 386 pages
File Size : 51,7 Mb
Release : 1871
Category : Electronic
ISBN : UCM:5305744169

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Mathematical Examples in Arithmetic, Algebra, Logarithms, Trigonometry and Mechanics by Samuel Newth Pdf

Author : Anonim
Publisher : Remedia Publications
Page : 28 pages
File Size : 43,6 Mb
Release : 2006
Category : Mathematics
ISBN : 1596398558

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Multiplication Word Problems by Anonim Pdf

Author : Rosanne Proga
Publisher : Brooks/Cole
Page : 650 pages
File Size : 46,6 Mb
Release : 1986
Category : Mathematics
ISBN : 0871509075

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Arithmetic and Algebra by Rosanne Proga Pdf

This book uses a practical approach to arithmetic and beginning algebra and assumes no prior knowledge of mathematics. By thoroughly explaining various mathematical techniques, Proga helps students understand why a technique works so they'll remember how to use it. Well-known for its flexibility and complete coverage of arithmetic and algebra topics, Proga's text is perfectly suited for a combination arithmetic-elementary algebra course, for either an arithmetic or an algebra course, or for a two-term course sequence.

Author : Justin Hill,Christopher Thron
Publisher : Lulu.com
Page : 402 pages
File Size : 48,8 Mb
Release : 2018-08-22
Category : Education
ISBN : 9780359042111

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Elementary Abstract Algebra, Examples and Applications Volume 1: Foundations by Justin Hill,Christopher Thron Pdf

This textbook introduces the basic notions of group theory by a thorough treatment of important examples, including complex numbers, modular arithmetic, symmetries, and permutations. Practical examples to cryptography and coding theory are also included.

Author : Richard S. Millman,Peter J. Shiue,Eric Brendan Kahn
Publisher : Springer
Page : 223 pages
File Size : 47,8 Mb
Release : 2015-02-09
Category : Mathematics
ISBN : 9783319144276

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Problems and Proofs in Numbers and Algebra by Richard S. Millman,Peter J. Shiue,Eric Brendan Kahn Pdf

Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high-achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge. In the past, PNA has been taught in a "problem solving in middle school” course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.

Author : Samuel Newth
Publisher : Unknown
Page : 412 pages
File Size : 43,6 Mb
Release : 1859
Category : Mathematics
ISBN : BL:A0018173290

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Mathematical Examples by Samuel Newth Pdf

Author : Barnard Smith
Publisher : Unknown
Page : 740 pages
File Size : 51,6 Mb
Release : 1857
Category : Electronic
ISBN : OXFORD:590917406

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Arithmetic and Algebra in Their Principles and Application ... by Barnard Smith Pdf

Author : Barnard Smith
Publisher : Unknown
Page : 636 pages
File Size : 46,8 Mb
Release : 1857
Category : Electronic
ISBN : NLS:V000673036

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Arithmetic and Algebra in Their Principles and Application ... Appendix to Fifth Edition by Barnard Smith Pdf

Author : Kingsley Augustine
Publisher : Unknown
Page : 117 pages
File Size : 48,8 Mb
Release : 2017-11-11
Category : Electronic
ISBN : 197327552X

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Simplified Arithmetic and Algebra by Kingsley Augustine Pdf

The step-by-step approach applied in this book is ideal for children and adults alike. It will serve as a refresher for those that have forgotten some basic principles in mathematics.This book explains basic concept simply and clearly, without ignoring difficult points. Problem solving and mathematical ideas are introduced early and reinforced throughout this book, thereby providing students with a solid foundation in the principles of arithmetical thinking. This comprehensive text provides complete coverage of basic arithmetic and algebraic operations needed for students to function well in their fields of mathematics. The author has given attention to details and clarity in the many worked examples provided in this book. All the examples provided in this book are carefully explained in details so as to ensure that the aim of making readers to love mathematics is achieved. Math is fun, but its only when we fully understand the arithmetic of maths that our interest can fully come into play. In order to study this book, you do not need to have any prior knowledge since every topic has been explained by using plenty of examples. Exercises are given at the end of each topic in order for students to test their level of understanding of the topic. The exercises can be used in the form of work book for students to practice with. I advise every reader to attempt as many as possible questions in the exercises in order to know their level of understanding of the topics. The topics covered will improve ones understanding of arithmetic and algebra. Your ability to solve numerous exercises provided will definitely prove to you that the explanations given are really detailed and easy to follow. Get to know arithmetic and algebra the easy way from an easy perspective.A constructive review of this mathematics textbook will be highly appreciated from buyers so as to give ideas to others who intend to purchase a copy of this book, and also to be a form of advice for the author when revising the book.

Author : Alfred Posamentier
Publisher : ASCD
Page : 296 pages
File Size : 48,5 Mb
Release : 2003-04-15
Category : Education
ISBN : 9781416601067

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Math Wonders to Inspire Teachers and Students by Alfred Posamentier Pdf

Are you "proud" to admit that you never liked math? Were never good in math? Are you struggling to pique your students' interest in math? Are you bored by the routine, mechanical aspects of teaching to the test in mathematics? This book offers a plethora of ideas to enrich your instruction and helps you to explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, Alfred S. Posamentier reveals the amazing symmetries, patterns, processes, paradoxes, and surprises that await students and teachers who look beyond the rote to discover wonders that have fascinated generations of great thinkers. Using the guided examples, help students explore the many marvels of math, including * The Amazing Number 1,089. Follow the instructions to reverse three-digit numbers, subtract them, and continue until everyone winds up with . . . 1,089! * The Pigeonhole Principle. All students know that guesstimating works sometimes, but now they can use this strategy to solve problems. * The Beautiful Magic Square. Challenge students to create their own magic squares and then discover the properties of Dürer's Magic Square. The author presents examples to entice students (and teachers) to study mathematics--to make mathematics a popular subject, not one to dread or avoid. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Author : Meixia Ding
Publisher : Routledge
Page : 194 pages
File Size : 51,6 Mb
Release : 2021-04-08
Category : Education
ISBN : 9781000370386

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Teaching Early Algebra through Example-Based Problem Solving by Meixia Ding Pdf

Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS). Recognizing young children’s particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students’ responses to example-based instruction, the text demonstrates that this TEPS approach – which involves the use of worked examples, representations, and deep questions – helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest.

Author : Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado
Publisher : Birkhäuser
Page : 311 pages
File Size : 52,9 Mb
Release : 2015-02-09
Category : Mathematics
ISBN : 9783319119465

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Topics in Algebra and Analysis by Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado Pdf

The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.