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![Mathematics and Plausible Reasoning [Two Volumes in One]](https://images-na.ssl-images-amazon.com/images/I/41tau2NUkmL.jpg)
1. Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Description
NOTE: THIS IS A STAND ALONE BOOK. ACCESS CODE IS NOT INCLUDED WITH THIS BOOK
Using and Understanding Mathematics: A Quantitative Reasoning Approach prepares students for the mathematics they will encounter in college courses, their future career, and life in general. Its quantitative reasoning approach helps students to build the skills needed to understand major issues in everyday life, and compels students to acquire the problem-solving tools that they will need to think critically about quantitative issues in contemporary society.
This program will provide a better teaching and learning experiencefor you and your students. Heres how:
- Improved results with MyMathLab , which is designed to work hand-in-hand with the book and offers additional practice and learning aids that improve student learning in measurable ways.
- The real-world focus turns students attention to the math they will need for college, career, and life.
- A wide range of exercises and problem types end each unit, making it easy for instructors to create assignments to fit their course goals.
- Study and review features in every chapter are designed to help students use their time effectively.
Note:You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchaseboththe physical text and MyMathLab, search for:
0321923219 / 9780321923219 Using and Understanding Mathematics: A Quantitative Reasoning Approach plus NEW MyMathLab with Pearson eText -- Access Card Package
Package consists of:
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
0321914627 / 9780321914620 Using and Understanding Mathematics: A Quantitative Reasoning Approach 6/e
2. Mathematics and Plausible Reasoning [Two Volumes in One]
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Used Book in Good ConditionDescription
2014 Reprint of 1954 American Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This two volume classic comprises two titles: "Patterns of Plausible Inference" and "Induction and Analogy in Mathematics". This is a guide to the practical art of plausible reasoning, particularly in mathematics, but also in every field of human activity. Using mathematics as the example par excellence, Polya shows how even the most rigorous deductive discipline is heavily dependent on techniques of guessing, inductive reasoning, and reasoning by analogy. In solving a problem, the answer must be guessed at before a proof can be given, and guesses are usually made from a knowledge of facts, experience, and hunches. The truly creative mathematician must be a good guesser first and a good prover afterward; many important theorems have been guessed but no proved until much later. In the same way, solutions to problems can be guessed, and a god guesser is much more likely to find a correct solution. This work might have been called "How to Become a Good Guesser."-From the Dust Jacket.3. Routines for Reasoning: Fostering the Mathematical Practices in All Students
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Heinemann Educational BooksDescription
"Routines for Reasoning will help teachers think a lot harder about what the mathematical practices mean...This book should be on every mathematics teacher's bookshelf."
- Elham Kazemi, Geda and Phil Condit Professor in Mathematics Education, University of Washington; coauthor of Intentional Talk
"This book is a must read for every K-12 teacher serious about shifting the nature of learning mathematics in the next decade."
-Timothy D. Kanold, Former Director of Mathematics and Science, and School Superintendent, Adlai E. Stevenson HSD 125
Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines.
Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools, including:
- Capturing Quantities: encouraging abstract and quantitative reasoning
- Connecting Representations: noticing and using mathematical structure
- Recognizing Repetition: developing repeated reasoning skills
- Three Reads: starting and sustaining thinking in problem solving situations
Each routine provides a familiar, accessible structure that supports repeated use until the steps to follow, thinking skills to employ, and questions to ask become automatic-enabling all students to engage more fully in learning opportunities while building crucial mathematical thinking habits.
"Teaching students to think and reason is perhaps the greatest challenge we face as math educators," the authors remind us, "and these routines provide clear pathways to do so." Far beyond simply a collection of strategies, Routines for Reasoning provides significant support for getting started with these routines, incorporating them into the rhythm of your classroom, and ultimately building toward student independence.4. Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics: Grades 6-8
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Used Book in Good ConditionDescription
How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions, and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers to grasp. It will help you engage your students, anticipate their perplexities, help them avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing your students understanding of the topic.Essential Understanding Series topics: Number and Numeration for Grades Pre-K 2 Addition and Subtraction for Grades Pre-K 2 Geometry for Grades Pre-K 2 Reasoning and Proof for Grades Pre-K 8 Multiplication and Division for Grades 3 5 Rational Numbers for Grades 3 5 Algebraic Ideas and Readiness for Grades 3 5 Geometric Shapes and Solids for Grades 3 5 Ratio, Proportion, and Proportionality for Grades 6 8 Expressions and Equations for Grades 6 8 Measurement for Grades 6 8 Data Analysis and Statistics for Grades 6 8 Function for Grades 9 12 Geometric Relationships for Grades 9 12 Reasoning and Proof for Grades 9 12 Statistics for Grades 9 12
5. Reasoning and Sense Making in the Mathematics Classroom: Pre-K-Grade 2
Description
Based on extensive research conducted by the authors, Reasoning and Sense Making in the Mathematics Classroom, Pre-K-Grade 2, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in elementary school mathematics. It describes and illustrates the nature of these skills using classroom vignettes and actual student work in conjunction with instructional tasks and learning progressions to show how reasoning and sense making develop and how instruction can support students in that development. Students who can make sense of mathematical ideas can apply those ideas in problem solving, even in unfamiliar situations, and can use them as a foundation for future learning. Without them, students are reduced to rote learning, often experiencing frustration and failure. But what do reasoning and sense making during learning and teaching look like? Each chapter of Reasoning and Sense Making in the Mathematics Classroom, Pre-K-Grade 2 explores a different topic that young children encounter in mathematics, demonstrating with actual student work and classroom dialogue how their mathematical knowledge and reasoning ability move through "levels of sophistication" or learning progressions:* After opening with a discussion of the nature of reasoning and sense making and their critical importance in developing mathematical thinking, chapter 1 examines how young students attempt to make sense of the concepts of place value and length measurement.* Chapter 2 focuses on how early childhood instruction can engage students in mathematical reasoning while helping them construct a rich sense of number and operations. * Chapter 3 identifies core algebraic ideas and shows how students can engage with these ideas in ways that not only deepen their understanding of arithmetic but also lays the foundation for the future study of algebra. * Children's reasoning and sense making as they decompose and compose geometric shapes-including reasoning about area-is examined in chapter 4. The use of learning progressions to understand students' reasoning and to guide their sense making with appropriate teaching is also discussed.Not just a theoretical discussion, the book also provides specific suggestions for related instructional activities for each topic. Supplementary online resources can be accessed at NCTM's More4U website. Reasoning and Sense Making in the Mathematics Classroom, Pre-K-Grade 2 will be a valuable and practical addition to your professional library.6. Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematics
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Used Book in Good ConditionDescription
A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. I, on Induction and Analogy in Mathematics, covers a wide variety of mathematical problems, revealing the trains of thought that lead to solutions, pointing out false bypaths, discussing techniques of searching for proofs. Problems and examples challenge curiosity, judgment, and power of invention.
7. GRE Math Workbook: GRE Math Prep 2018 & 2019 and Practice Tests for the Quantitative Reasoning Section of the GRE Exam
Description
Test Prep Book's GRE Math Workbook: GRE Math Prep 2018 & 2019 and Practice Tests for the Quantitative Reasoning Section of the GRE ExamDeveloped by Test Prep Books for test takers trying to achieve a passing score on the GRE exam, this comprehensive study guide includes:
Quick Overview
Test-Taking Strategies
Introduction
GRE Quantitative Reasoning Practice Test #1
Answer Explanations Test #1
GRE Quantitative Reasoning Practice Test #2
Answer Explanations Test #2
Disclaimer: GRE and ETS are registered trademarks of Educational Testing Services, which was not involved in the production of, and does not endorse, this product.
Each section of the test has a comprehensive GRE math review created by Test Prep Books that goes into detail to cover all of the content likely to appear on the test.
The Test Prep Books GRE math practice test questions are each followed by detailed answer explanations. If you miss a question, it's important that you are able to understand the nature of your mistake and how to avoid making it again in the future. The answer explanations will help you to learn from your mistakes and overcome them.
Understanding the latest test-taking strategies is essential to preparing you for what you will expect on the exam. A test taker has to not only understand the material that is being covered on the test, but also must be familiar with the strategies that are necessary to properly utilize the time provided and get through the test without making any avoidable errors. Test Prep Books has drilled down the top test-taking tips for you to know.
Anyone planning to take this exam should take advantage of the GRE math questions review material, practice test questions, and test-taking strategies contained in this Test Prep Books study guide.
8. Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
Description
Did you know that games and puzzles have given birth to many oftoday's deepest mathematical subjects? Now, with Douglas Ensley andWinston Crawley's Introduction to Discrete Mathematics, you canexplore mathematical writing, abstract structures, counting,discrete probability, and graph theory, through games, puzzles,patterns, magic tricks, and real-world problems. You will discoverhow new mathematical topics can be applied to everyday situations,learn how to work with proofs, and develop your problem-solvingskills along the way.Online applications help improve your mathematical reasoning.
Highly intriguing, interactive Flash-based applications illustratekey mathematical concepts and help you develop your ability toreason mathematically, solve problems, and work with proofs.Explore More icons in the text direct you to online activities atwww.wiley.com/college/ensley.
Improve your grade with the Student Solutions Manual.
A supplementary Student Solutions Manual contains more detailedsolutions to selected exercises in the text.
9. Mathematical Reasoning Middle School Supplement - Solving Non-Routine Problems (Grades 7-9)
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New - FREE SHIPPING!Description
This mind-building 320-page book reinforces 7th and 8th grade math concepts and skills by asking students to apply middle school mathematics to non-routine problems. This user-friendly book is made up of 100 theme-based collections of problems, conveniently grouped in self-contained, double-sided activity sheets that provide space for student work and contain relevant math facts at the end of the worksheet.Grouping the problems around common math content helps reinforce the target math concepts, and each activity set is accompanied by a single-sided answer sheet containing strategy tips and detailed solutions. Students are encouraged to try the problems first on their own, using reasoning and the provided math facts. If students struggle with a problem or do not remember a particular math concept, the math facts and strategy tips help reintroduce the concept and suggest ways to solve the problem. Calculators are allowed on activity sets that have a calculator icon at the to10. Using & Understanding Mathematics: A Quantitative Reasoning Approach Plus MyLab Math -- Access Card Package (7th Edition) (Bennett Science & Math Titles)
Description
NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of the MyLab and Mastering platforms exist for each title, and registrations are not transferable. To register for and use MyLab or Mastering, you may also need a Course ID, which your instructor will provide.
Used books, rentals, and purchases made outside of Pearson
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For courses in Liberal Arts Mathematics and Quantitative Literacy.
This package includes MyLab Math.
The standard in quantitative reasoning instruction by authorities in the field
The 7th Edition of Using & Understanding Mathematics by Jeff Bennett and Bill Briggs aims to prepare students for the mathematics they will encounter in other college courses, future careers, and life.
The authors' goal is to develop students ability to reason with quantitative information in a way that will help achieve success in their careers, and to give students the critical-thinking and quantitative reasoning skills needed to understand major life issues. Through new resources in MyLab Math and updated content within the text, the Bennett/Briggs team continues to set the standard in quantitative reasoning instruction.
Personalize learning with MyLab Math
By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and often improves results for each student.
0134679091 / 9780134679099 Using & Understanding Mathematics: A Quantitative Reasoning Approach Plus MyMathLab -- Access Card Package, 7/e
Package consists of:
- 0134705181 / 9780134705187 Using & Understanding Mathematics: A Quantitative Reasoning Approach
- 0134715853 / 9780134715858 MyLab Math with Pearson eText - Access Card - for Using & Understanding Mathematics: A Quantitative Reasoning Approach
