Applications Of Algebra And Geometry To The Work Of Teaching
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Applications Of Algebra And Geometry To The Work Of Teaching
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Author : Bowen Kerins
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-10-05
Applications Of Algebra And Geometry To The Work Of Teaching written by Bowen Kerins and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-05 with Education categories.
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The specific theme developed in Applications of Algebra and Geometry to the Work of Teaching is the use of complex numbers--especially the arithmetic of Gaussian and Eisenstein integers--to investigate some questions that are at the intersection of algebra and geometry, like the classification of Pythagorean triples and the number of representations of an integer as the sum of two squares. Applications of Algebra and Geometry to the Work of Teaching is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Mathematics For Teaching Applications Of Algebra And Geometry To The Work Of Teaching
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Author : Bowen Kerins
language : en
Publisher:
Release Date : 2015
Mathematics For Teaching Applications Of Algebra And Geometry To The Work Of Teaching written by Bowen Kerins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Algebra categories.
Mathematics For Teaching Applications Of Algebra And Geometry To The Work Of Teaching
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Author : Bowen Kerins
language : en
Publisher:
Release Date : 2015
Mathematics For Teaching Applications Of Algebra And Geometry To The Work Of Teaching written by Bowen Kerins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Algebra categories.
Challenges And Strategies In Teaching Linear Algebra
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Author : Sepideh Stewart
language : en
Publisher: Springer
Release Date : 2018-02-01
Challenges And Strategies In Teaching Linear Algebra written by Sepideh Stewart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-01 with Education categories.
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.
Introduction To Plane Algebraic Curves
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Author : Ernst Kunz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-10
Introduction To Plane Algebraic Curves written by Ernst Kunz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-10 with Mathematics categories.
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook
Bowen Kerins Darryl Yong Al Cuoco Glenn Stevens And Mary Pilgrim
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Author : Bowen Kerins
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-10-31
Bowen Kerins Darryl Yong Al Cuoco Glenn Stevens And Mary Pilgrim written by Bowen Kerins and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-31 with Education categories.
Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Some Applications of Geometric Thinking is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The goal of Some Applications of Geometric Thinking is to help teachers see that geometric ideas can be used throughout the secondary school curriculum, both as a hub that connects ideas from all parts of secondary school and beyond—algebra, number theory, arithmetic, and data analysis—and as a locus for applications of results and methods from these fields. Some Applications of Geometric Thinking is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in this series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Teaching Mathematics
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Author : Max A. Sobel
language : en
Publisher: Prentice Hall
Release Date : 1988
Teaching Mathematics written by Max A. Sobel and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
The art of teaching math lies in the ability of the instructor to motivate and inspire individuals to look beyond the numbers and understand the concepts. This book is designed to revive this art, focusing more on the aspects of learning the ideas behind the math rather than the sheer mechanics of mathematical operation. This text addresses the art of teaching mathematics while also providing specific aids and activities in arithmetic, geometry, algebra and probability and statistics for use in the classroom. The authors pay close attention to the role, importance, methods and techniques of motivation. They present ideas that will generate attention, interest, and surprise among students, and will thus foster creative thinking. The material in the text is based on talks given by the authors at professional meetings, as well as the actual application of their ideas in undergraduate and graduate classes they taught. Additionally, many laboratory and discovery activities have been used by authors in teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.
Making Algebra Come Alive
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Author : Alfred S. Posamentier
language : en
Publisher: Corwin Press
Release Date : 2000-07-21
Making Algebra Come Alive written by Alfred S. Posamentier and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-21 with Education categories.
Activities in Algebra is a set of versatile enrichment exercises that covers a very broad range of mathematical topics and applications-from the Moebius strip to the googol. Several criteria have been used in developing the activities and in selecting the topics that are included. All of them bear heavily, and equally, on our concerns for curriculum goals and classroom management. Each activity is presented as a reproducible student investigation. It is followed by guidelines and notes for the teacher. Each activity is keyed to the National Council of Teachers of Mathematics (NCTM) Standards, Revised. This link to the NCTM standards allows teachers to facilitate linking classroom activities to specific state and school district content standards. First and foremost, the activities are meant to be motivational. As much as possible, we want this book to achieve the goal of being attractive to people who thought they didn't like mathematics. To accomplish this, it is necessary for the activities to be quite different from what students encounter in their basal texts-different in both substance and form. This seems especially critical; no matter how excellent a basal text is being used, nearly every class experiences the "blahs." Unfortunately, this sort of boredom is often well entrenched long before the teacher and perhaps even the students are aware of it. Presenting activities on a regular basis gives the variety and change of pace needed to sustain interest in any subject.
Practical Algebra
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Author : Bobson Wong
language : en
Publisher: John Wiley & Sons
Release Date : 2022-04-26
Practical Algebra written by Bobson Wong and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Mathematics categories.
The most practical, complete, and accessible guide for understanding algebra If you want to make sense of algebra, check out Practical Algebra: A Self-Teaching Guide. Written by two experienced classroom teachers, this Third Edition is completely revised to align with the Common Core Algebra I math standards used in many states. You’ll get an overview of solving linear and quadratic equations, using ratios and proportions, decoding word problems, graphing and interpreting functions, modeling the real world with statistics, and other concepts found in today’s algebra courses. This book also contains a brief review of pre-algebra topics, including arithmetic and fractions. It has concrete strategies that help diverse students to succeed, such as: over 500 images and tables that illustrate important concepts over 200 model examples with complete solutions almost 1,500 exercises with answers so you can monitor your progress Practical Algebra emphasizes making connections to what you already know and what you’ll learn in the future. You’ll learn to see algebra as a logical and consistent system of ideas and see how it connects to other mathematical topics. This book makes math more accessible by treating it as a language. It has tips for pronouncing and using mathematical notation, a glossary of commonly used terms in algebra, and a glossary of symbols. Along the way, you’ll discover how different cultures around the world over thousands of years developed many of the mathematical ideas we use today. Since students nowadays can use a variety of tools to handle complex modeling tasks, this book contains technology tips that apply no matter what device you’re using. It also describes strategies for avoiding common mistakes that students make. By working through Practical Algebra, you’ll learn straightforward techniques for solving problems, and understand why these techniques work so you’ll retain what you’ve learned. You (or your students) will come away with better scores on algebra tests and a greater confidence in your ability to do math.
Teaching Mathematics For The 21st Century
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Author : Linda Huetinck
language : en
Publisher: Prentice Hall
Release Date : 2008
Teaching Mathematics For The 21st Century written by Linda Huetinck and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This third edition of T eaching Mathematics for the 21st Century continues to help teachers let the secret out-to open up to their students the wonderful discoveries and challenges of the pattern-making and problem-solving aspects of a fascinating subject: mathematics. The rationale remains the same-to enable prospective and current teachers to access and use tools and strategies to effectively teach mathematics to contemporary students. Changing demographics, knowledge of how people learn, and technology all impact the way we educate our young people. This edition incorporates lessons and strategies from programs that have proven success in many types of classrooms. Many of these examples help students connect mathematics to real life situations and communicate their understanding of the underlying concepts. Although technology is constantly being upgraded, ways to increase student motivation through its application remains a goal. For example--since applets can enhance a lesson whether the teacher uses a computer projector, a "smart" board, or has students work individually on computers--we have identified several sources of mathematics applets that can be correlated to various lessons. Research citations and summaries have been updated to reflect current information on teaching and learning. For future teachers.