Making Sense of Algebra

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325053011
Total Pages : 0 pages
Book Rating : 4.0/5 (53 download)

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Book Synopsis Making Sense of Algebra by : Ernest Paul Goldenberg

Download or read book Making Sense of Algebra written by Ernest Paul Goldenberg and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book has much to offer teachers of middle and high school algebra who wish to implement the Common Core Standards for all of their students." -Hyman Bass, Samuel Eilenberg Distinguished University Professor of Mathematics & Mathematics Education, University of Michigan "One of the joys of Making Sense of Algebra is how clearly and practically the 'how' question is answered." -Steven Leinwand, American Institutes for Research, author of Accessible Mathematics "Paul Goldenberg and his colleagues have done a fantastic job of connecting mathematical ideas to teaching those ideas." -David Wees, New Visions for Public Schools, New York City Every teacher wants to help students make sense of mathematics; but what if you could guide your students to expect mathematics to make sense? What if you could help them develop a deep understanding of the reasons behind its facts and methods? In Making Sense of Algebra, the common misconception that algebra is simply a collection of rules to know and follow is debunked by delving into how we think about mathematics. This "habits of mind" approach is concerned not just with the results of mathematical thinking, but with how mathematically proficient students do that thinking. Making Sense of Algebra addresses developing this type of thinking in your students through: using well-chosen puzzles and investigations to promote perseverance and a willingness to explore seeking structure and looking for patterns that mathematicians anticipate finding-and using this to draw conclusions cultivating an approach to authentic problems that are rarely as tidy as what is found in textbooks allowing students to generate, validate, and critique their own and others' ideas without relying on an outside authority. Through teaching tips, classroom vignettes, and detailed examples, Making Sense of Algebra shows how to focus your instruction on building these key habits of mind, while inviting students to experience the clarity and meaning of mathematics-perhaps for the first time. Discover more math resources at Heinemann.com/Math

Advanced Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 1119563518
Total Pages : 480 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Advanced Mathematics by : Stanley J. Farlow

Download or read book Advanced Mathematics written by Stanley J. Farlow and published by John Wiley & Sons. This book was released on 2019-10-08 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared for higher-level mathematics course from their onset. Advanced Mathematics: A Transitional Reference provides a “crash course” in beginning pure mathematics, offering instruction on a blendof inductive and deductive reasoning. By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive setting. Clear and concise chapters cover all the essential topics students need to transition from the "rote-orientated" courses of calculus to the more rigorous "proof-orientated” advanced mathematics courses. Topics include sentential and predicate calculus, mathematical induction, sets and counting, complex numbers, point-set topology, and symmetries, abstract groups, rings, and fields. Each section contains numerous problems for students of various interests and abilities. Ideally suited for a one-semester course, this book: Introduces students to mathematical proofs and rigorous thinking Provides thoroughly class-tested material from the authors own course in transitioning to higher math Strengthens the mathematical thought process of the reader Includes informative sidebars, historical notes, and plentiful graphics Offers a companion website to access a supplemental solutions manual for instructors Advanced Mathematics: A Transitional Reference is a valuable guide for undergraduate students who have taken courses in calculus, differential equations, or linear algebra, but may not be prepared for the more advanced courses of real analysis, abstract algebra, and number theory that await them. This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math.

Glencoe Pre-algebra

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Publisher :
ISBN 13 : 9780078212239
Total Pages : 868 pages
Book Rating : 4.2/5 (122 download)

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Book Synopsis Glencoe Pre-algebra by :

Download or read book Glencoe Pre-algebra written by and published by . This book was released on 2000 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pre-Algebra

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Publisher :
ISBN 13 : 9780028250311
Total Pages : 868 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis Pre-Algebra by : Jack Price

Download or read book Pre-Algebra written by Jack Price and published by . This book was released on 1996-04 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Prealgebra

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Publisher : McGraw-Hill Companies
ISBN 13 : 9780072540710
Total Pages : 548 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Prealgebra by : Jill Parker Beer

Download or read book Prealgebra written by Jill Parker Beer and published by McGraw-Hill Companies. This book was released on 2006-12 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Prealgebra Algebra

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Publisher : Addison-Wesley
ISBN 13 : 9780201597684
Total Pages : 540 pages
Book Rating : 4.5/5 (976 download)

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Book Synopsis Prealgebra Algebra by : Jill Parker Beer

Download or read book Prealgebra Algebra written by Jill Parker Beer and published by Addison-Wesley. This book was released on 1999-06-01 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transition Mathematics

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Publisher :
ISBN 13 : 9780673459404
Total Pages : 774 pages
Book Rating : 4.4/5 (594 download)

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Book Synopsis Transition Mathematics by : Zalman Usiskin

Download or read book Transition Mathematics written by Zalman Usiskin and published by . This book was released on 1998 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Transition to Advanced Mathematics

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Publisher : Cengage Learning
ISBN 13 : 9780495562023
Total Pages : 416 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis A Transition to Advanced Mathematics by : Douglas Smith

Download or read book A Transition to Advanced Mathematics written by Douglas Smith and published by Cengage Learning. This book was released on 2010-06-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving students' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Pre-algebra

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Publisher :
ISBN 13 : 9780201285215
Total Pages : 728 pages
Book Rating : 4.2/5 (852 download)

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Book Synopsis Pre-algebra by : Phares G. O'Daffer

Download or read book Pre-algebra written by Phares G. O'Daffer and published by . This book was released on 1992 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pre-algebra text with accompanying workbook and teacher's materials provides a program in mathematics which is a transition from arithmetic to algebra. Includes decimals, number theory, equations, percent, ratio, area and volume, statistics, and square roots.

Connecting Arithmetic to Algebra

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325041919
Total Pages : 0 pages
Book Rating : 4.0/5 (419 download)

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Book Synopsis Connecting Arithmetic to Algebra by : Susan Jo Russell

Download or read book Connecting Arithmetic to Algebra written by Susan Jo Russell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Getting from Arithmetic to Algebra

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Publisher : Teachers College Press
ISBN 13 : 0807753203
Total Pages : 169 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Getting from Arithmetic to Algebra by : Judah L. Schwartz

Download or read book Getting from Arithmetic to Algebra written by Judah L. Schwartz and published by Teachers College Press. This book was released on 2012-05-04 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two experienced educators present a fresh approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students' ability to work with mathematical objects and perform mathematical actions. --from publisher description

An Elementary Transition to Abstract Mathematics

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Publisher : CRC Press
ISBN 13 : 1000701816
Total Pages : 293 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis An Elementary Transition to Abstract Mathematics by : Gove Effinger

Download or read book An Elementary Transition to Abstract Mathematics written by Gove Effinger and published by CRC Press. This book was released on 2019-11-05 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials. Features: The material is presented in many short chapters, so that one concept at a time can be absorbed by the student. Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student’s transition by working with familiar concepts. Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns. A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.

Transitional Algebra

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Publisher : Cognella Academic Publishing
ISBN 13 : 9781634879590
Total Pages : pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis Transitional Algebra by : Troy Brachey

Download or read book Transitional Algebra written by Troy Brachey and published by Cognella Academic Publishing. This book was released on 2015-12-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Greek Mathematical Thought and the Origin of Algebra

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Publisher : Courier Corporation
ISBN 13 : 0486319814
Total Pages : 246 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Greek Mathematical Thought and the Origin of Algebra by : Jacob Klein

Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

Algebra Made Simple

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Publisher :
ISBN 13 : 9780768202601
Total Pages : 0 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Algebra Made Simple by : Theresa Kane McKell

Download or read book Algebra Made Simple written by Theresa Kane McKell and published by . This book was released on 2001-08-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains variety of activities to help students gain an understanding of algebraic concepts covered in most algebra 1 courses by using everyday applications.

Introduction to Applied Linear Algebra

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Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Handbook of Process Algebra

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Publisher : Elsevier
ISBN 13 : 0080533671
Total Pages : 1357 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Process Algebra by : J.A. Bergstra

Download or read book Handbook of Process Algebra written by J.A. Bergstra and published by Elsevier. This book was released on 2001-03-16 with total page 1357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Process Algebra is a formal description technique for complex computer systems, especially those involving communicating, concurrently executing components. It is a subject that concurrently touches many topic areas of computer science and discrete math, including system design notations, logic, concurrency theory, specification and verification, operational semantics, algorithms, complexity theory, and, of course, algebra.This Handbook documents the fate of process algebra since its inception in the late 1970's to the present. It is intended to serve as a reference source for researchers, students, and system designers and engineers interested in either the theory of process algebra or in learning what process algebra brings to the table as a formal system description and verification technique. The Handbook is divided into six parts spanning a total of 19 self-contained Chapters. The organization is as follows. Part 1, consisting of four chapters, covers a broad swath of the basic theory of process algebra. Part 2 contains two chapters devoted to the sub-specialization of process algebra known as finite-state processes, while the three chapters of Part 3 look at infinite-state processes, value-passing processes and mobile processes in particular. Part 4, also three chapters in length, explores several extensions to process algebra including real-time, probability and priority. The four chapters of Part 5 examine non-interleaving process algebras, while Part 6's three chapters address process-algebra tools and applications.