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Teaching College Algebra
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Download or read book Algebra written by I.M. Gelfand and published by Springer Science & Business Media. This book was released on 2003-07-09 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Book Synopsis College Algebra: A Make it Real Approach by : Frank Wilson
Download or read book College Algebra: A Make it Real Approach written by Frank Wilson and published by Cengage Learning. This book was released on 2012-01-01 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text provides a contemporary approach to college algebra, ideal for the many skeptical or apprehensive students who ask, When am I ever going to use this? The key phrase is Make It Real since the goal is to make the material relevant and understandable to today's college students. But many books make this claim--so how is COLLEGE ALGEBRA: MAKE IT REAL different? In other texts, which simply wrap real-world situations around problems, the context isn't needed to do the mathematics. Written by skilled and passionate teachers, this text uses real-world data sets and situations to draw out mathematical concepts. Students are immersed in familiar contexts--from golf course ratings to Egyptian pyramids--from which concepts emerge naturally, and then guided in using their understanding of those ideas to make sense of the mathematics. The real-world contexts are not only helpful for understanding procedures--they're necessary. The concept of a function, the use of modeling, and the thorough integration of real-world applications are integral to the text. If there's one new college algebra text crafted to stand up to a reality check comparison with your current book, this is it. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Book Synopsis Improving Instruction in Algebra by : Margaret Schwan Smith
Download or read book Improving Instruction in Algebra written by Margaret Schwan Smith and published by . This book was released on 2005 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping students develop an understanding of mathematical ideas is a persistent challenge for teachers. This work focuses on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency.
Book Synopsis Teaching Mathematics in Colleges and Universities by : Solomon Friedberg
Download or read book Teaching Mathematics in Colleges and Universities written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 2001 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the Case Studies of the title. Just as a good mathematician seeks both to understand the details of a particular problem and to put it in a broader context, the examples presented here are chosen to offer a serious set of detailed teaching issues and to afford analysis from a broad perspective. Each case raises a variety of pedagogical and communication issues that may be explored either individually or in a group facilitated by a faculty member. Teaching notes for such a facilitator are included for each Case in the Faculty Edition. The methodology of Case Studies is widely used in areas such as business and law. The consideration of the mathematics cases presented here will help readers to develop teaching skills for their own classrooms.
Book Synopsis Teaching College Algebra by : Sherman N. Miller
Download or read book Teaching College Algebra written by Sherman N. Miller and published by . This book was released on 2005 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This user-friendly guide offers pragmatic recommendations on teaching various elements of algebra, including trigonometry, finite mathematics, and statistics to nontraditional students.
Book Synopsis Schaum's Outline of Elementary Algebra by : Barnett Rich
Download or read book Schaum's Outline of Elementary Algebra written by Barnett Rich and published by McGraw Hill Professional. This book was released on 2003-09-22 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of the perennial bestseller defines the recent changes in how the discipline is taught and introduces a new perspective on the discipline. New material in this third edition includes: A modernized section on trigonometry An introduction to mathematical modeling Instruction in use of the graphing calculator 2,000 solved problems 3,000 supplementary practice problems and more
Book Synopsis On the Teaching of Linear Algebra by : J.-L. Dorier
Download or read book On the Teaching of Linear Algebra written by J.-L. Dorier and published by Springer Science & Business Media. This book was released on 2000-09-30 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.
Download or read book CLEP. written by and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA's CLEP test preps are perfect for adults returning to college or attending for the first time, military service members, high-school graduates looking to earn college credit, or home-schooled students with knowledge that can translate into college credit. /Our review covers all the College Algebra topics found on the official exam: sets, number systems and operations, exponents and radicals, equations, inequalities, ratio and proportion, and more. /Students start their study by taking our half-length diagnostic practice test online. This timed test includes automatic scoring and diagnostic feedback, so students can pinpoint their strengths and weaknesses. The book includes 2 full-length practice tests that mirror the actual exam, allowing test-takers to become familiar with the test format before taking the CLEP. Each practice test comes with detailed explanations of answers, so students can identify areas in need of improvement and be prepared on test day.
Download or read book Rough Draft Math written by Amanda Jansen and published by Taylor & Francis. This book was released on 2023-10-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Talking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. In Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. '
Download or read book College Algebra written by Jay Abramson and published by . This book was released on 2018-01-07 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory
Book Synopsis The Teaching Gap by : James W. Stigler
Download or read book The Teaching Gap written by James W. Stigler and published by Simon and Schuster. This book was released on 2009-06-16 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised edition of a popular resource builds on the authors' findings that key problems in teaching methods are causing America to lag behind international academic standards, outlining a program for administrators, instructors, and parents that incorporates solutions based on current research. Reprint.
Book Synopsis College Algebra, 4e Instant Access Alta Single Term Access with eBook by : Cynthia Y. Young
Download or read book College Algebra, 4e Instant Access Alta Single Term Access with eBook written by Cynthia Y. Young and published by John Wiley & Sons. This book was released on 2017-08-28 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cynthia Young’s College Algebra, Fourth Edition will allow students to take the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it and whether they did it right, while seamlessly integrating to Young’s learning content. College Algebra, Fourth Edition is written in a clear, single voice that speaks to students and mirrors how instructors communicate in lecture. Young’s hallmark pedagogy enables students to become independent, successful learners. Varied exercise types and modeling projects keep the learning fresh and motivating. This text continues Young’s tradition of fostering a love for succeeding in mathematics.
Book Synopsis Challenges and Strategies in Teaching Linear Algebra by : Sepideh Stewart
Download or read book Challenges and Strategies in Teaching Linear Algebra written by Sepideh Stewart and published by Springer. This book was released on 2018-02-01 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originated from a Discussion Group (Teaching Linear Algebra) that was held at the 13th International Conference on Mathematics Education (ICME-13). The aim was to consider and highlight current efforts regarding research and instruction on teaching and learning linear algebra from around the world, and to spark new collaborations. As the outcome of the two-day discussion at ICME-13, this book focuses on the pedagogy of linear algebra with a particular emphasis on tasks that are productive for learning. The main themes addressed include: theoretical perspectives on the teaching and learning of linear algebra; empirical analyses related to learning particular content in linear algebra; the use of technology and dynamic geometry software; and pedagogical discussions of challenging linear algebra tasks. Drawing on the expertise of mathematics education researchers and research mathematicians with experience in teaching linear algebra, this book gathers work from nine countries: Austria, Germany, Israel, Ireland, Mexico, Slovenia, Turkey, the USA and Zimbabwe.
Book Synopsis Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by : Nicholas H. Wasserman
Download or read book Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers written by Nicholas H. Wasserman and published by Springer. This book was released on 2018-12-12 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.
Download or read book The Math Myth written by Andrew Hacker and published by New Press, The. This book was released on 2010-05-25 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Practical Algebra by : Peter H. Selby
Download or read book Practical Algebra written by Peter H. Selby and published by John Wiley & Sons. This book was released on 1991-09-03 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Algebra If you studied algebra years ago and now need arefresher course in order to use algebraic principles on the job,or if you're a student who needs an introduction to the subject,here's the perfect book for you. Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical,real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio,proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry,and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.
Book Synopsis Present Practices in the Teaching of College Algebra by : James Edward Williamson
Download or read book Present Practices in the Teaching of College Algebra written by James Edward Williamson and published by . This book was released on 1950 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
