Math Through The Ages A Gentle History For Teachers And Others Expanded Second Edition

Author : William P. Berlinghoff,Fernando Q. Gouvea
Publisher : American Mathematical Soc.
Page : 349 pages
File Size : 48,8 Mb
Release : 2020-05-05
Category : Education
ISBN : 9781939512123

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Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition by William P. Berlinghoff,Fernando Q. Gouvea Pdf

`Math through the Ages' is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration. --Glen van Brummelen, Quest University, President (2012-14) of the Canadian Society for History and Philosophy of Mathematics Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind $pi$? ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? ... logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. ``What to Read Next'' and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.

Author : William P. Berlinghoff,Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
Page : 331 pages
File Size : 41,5 Mb
Release : 2021-04-29
Category : Education
ISBN : 9781470464561

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Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition by William P. Berlinghoff,Fernando Q. Gouvêa Pdf

Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.

Author : William P. Berlinghoff,Fernando Quadros Gouvêa
Publisher : Unknown
Page : 331 pages
File Size : 44,6 Mb
Release : 2015
Category : Mathematics
ISBN : 1470458268

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Math Through the Ages by William P. Berlinghoff,Fernando Quadros Gouvêa Pdf

"What's new in this edition? We have added new content and also tried to make improvements to the existing material. There are five new historical sketches, on: The tangent function and how it made its way into trigonometry. Logarithms, both decimal and natural. Conic sections: ellipses, parabolas, and hyperbolas. Irrational numbers. The derivative. As always, each of these come with Questions and Projects that try to address both the mathematics and the history, challenging students to go deeper into the topic. We also worked through the whole book to improve, correct, and update. Research on the history of mathematics continues, and we have learned new things over the last ten years. Historians make mistakes, especially when they are quoting other historians, and we have tried to correct all the ones that we knew about. Many new books have been published over the last dozen years, so the bibliography has been completely updated and the notes on "what to read next" reflect the latest resources. The questions and projects have been examined and, when it seemed appropriate, revised. The Instructor's Guide was thoroughly revised as well"--

Author : William P. Berlinghoff,Fernando Gouvea
Publisher : Unknown
Page : 280 pages
File Size : 40,8 Mb
Release : 2004
Category : Mathematics
ISBN : 0012943231

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Math Through the Ages by William P. Berlinghoff,Fernando Gouvea Pdf

Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 49,6 Mb
Release : 2011-01-11
Category : Mathematics
ISBN : 9780470525487

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A History of Mathematics by Carl B. Boyer,Uta C. Merzbach Pdf

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Author : Alan Sultan,Alice F. Artzt
Publisher : Routledge
Page : 760 pages
File Size : 47,9 Mb
Release : 2017-07-20
Category : Education
ISBN : 9781315391892

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The Mathematics That Every Secondary School Math Teacher Needs to Know by Alan Sultan,Alice F. Artzt Pdf

Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided

Author : Ken Bain
Publisher : Harvard University Press
Page : 218 pages
File Size : 53,9 Mb
Release : 2011-09-01
Category : Education
ISBN : 9780674065543

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What the Best College Teachers Do by Ken Bain Pdf

What makes a great teacher great? Who are the professors students remember long after graduation? This book, the conclusion of a fifteen-year study of nearly one hundred college teachers in a wide variety of fields and universities, offers valuable answers for all educators. The short answer is—it’s not what teachers do, it’s what they understand. Lesson plans and lecture notes matter less than the special way teachers comprehend the subject and value human learning. Whether historians or physicists, in El Paso or St. Paul, the best teachers know their subjects inside and out—but they also know how to engage and challenge students and to provoke impassioned responses. Most of all, they believe two things fervently: that teaching matters and that students can learn. In stories both humorous and touching, Ken Bain describes examples of ingenuity and compassion, of students’ discoveries of new ideas and the depth of their own potential. What the Best College Teachers Do is a treasure trove of insight and inspiration for first-year teachers and seasoned educators.

Author : Dick Jardine,Amy Shell-Gellasch
Publisher : MAA
Page : 305 pages
File Size : 55,5 Mb
Release : 2011
Category : Computer science
ISBN : 9780883859841

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Mathematical Time Capsules by Dick Jardine,Amy Shell-Gellasch Pdf

Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.

Author : Allison K. Henrich,Emille D. Lawrence,Matthew A. Pons,David George Taylor
Publisher : Unknown
Page : 136 pages
File Size : 53,7 Mb
Release : 2019
Category : Academic achievement
ISBN : 1470452812

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Living Proof by Allison K. Henrich,Emille D. Lawrence,Matthew A. Pons,David George Taylor Pdf

Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.

Author : Joyce L. Epstein,Mavis G. Sanders,Steven B. Sheldon,Beth S. Simon,Karen Clark Salinas,Natalie Rodriguez Jansorn,Frances L. Van Voorhis,Cecelia S. Martin,Brenda G. Thomas,Marsha D. Greenfeld,Darcy J. Hutchins,Kenyatta J. Williams
Publisher : Corwin Press
Page : 518 pages
File Size : 40,7 Mb
Release : 2018-07-19
Category : Education
ISBN : 9781483320014

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School, Family, and Community Partnerships by Joyce L. Epstein,Mavis G. Sanders,Steven B. Sheldon,Beth S. Simon,Karen Clark Salinas,Natalie Rodriguez Jansorn,Frances L. Van Voorhis,Cecelia S. Martin,Brenda G. Thomas,Marsha D. Greenfeld,Darcy J. Hutchins,Kenyatta J. Williams Pdf

Strengthen programs of family and community engagement to promote equity and increase student success! When schools, families, and communities collaborate and share responsibility for students′ education, more students succeed in school. Based on 30 years of research and fieldwork, the fourth edition of the bestseller School, Family, and Community Partnerships: Your Handbook for Action, presents tools and guidelines to help develop more effective and more equitable programs of family and community engagement. Written by a team of well-known experts, it provides a theory and framework of six types of involvement for action; up-to-date research on school, family, and community collaboration; and new materials for professional development and on-going technical assistance. Readers also will find: Examples of best practices on the six types of involvement from preschools, and elementary, middle, and high schools Checklists, templates, and evaluations to plan goal-linked partnership programs and assess progress CD-ROM with slides and notes for two presentations: A new awareness session to orient colleagues on the major components of a research-based partnership program, and a full One-Day Team Training Workshop to prepare school teams to develop their partnership programs. As a foundational text, this handbook demonstrates a proven approach to implement and sustain inclusive, goal-linked programs of partnership. It shows how a good partnership program is an essential component of good school organization and school improvement for student success. This book will help every district and all schools strengthen and continually improve their programs of family and community engagement.

Author : Steven J Zaloga,Leland S Ness
Publisher : The History Press
Page : 199 pages
File Size : 47,6 Mb
Release : 2009-12-07
Category : Technology & Engineering
ISBN : 9780750951418

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Companion to the Red Army 1939-45 by Steven J Zaloga,Leland S Ness Pdf

Stalin's Red Army entered the Second World War as a relatively untried fighting force. In 1941, with the launch of Operation 'Barbarossa', it joined the battle with Hitler's army, the most powerful in history. After a desperate war of attrition over four years, the Red Army defeated the Nazis on the Eastern Front and won lasting fame and glory in 1945 by eclipsing the military might of the Third Reich. This book begins with a review of the historical background of the Red Army in the years leading up to the outbreak of war in 1939, followed by a discussion of the major themes in the development of Soviet forces during the 'Great Patriotic War' that ensued in 1941. The Red Army's organisational structures are examined, from high command down to divisional level and below, which helps Western readers to understand the differences between the terminology of the Soviet and common Western (British, US and German) armies. Soviet combat arms - infantry, armour and mechanised forces, cavalry, airborne and special forces - are described, along with a technical overview of infantry weapons, armoured vehicles, artillery and support equipment. Fully illustrated with a comprehensive selection of archive photographs, charts and tables of organisation, this is an indispensable source of reference for anyone interested in the armies of the Second World War.

Author : National Research Council,Institute of Medicine,Board on Children, Youth, and Families,Committee on the Science of Children Birth to Age 8: Deepening and Broadening the Foundation for Success
Publisher : National Academies Press
Page : 706 pages
File Size : 48,6 Mb
Release : 2015-07-23
Category : Social Science
ISBN : 9780309324885

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Transforming the Workforce for Children Birth Through Age 8 by National Research Council,Institute of Medicine,Board on Children, Youth, and Families,Committee on the Science of Children Birth to Age 8: Deepening and Broadening the Foundation for Success Pdf

Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

Author : Florin Curta
Publisher : Cambridge University Press
Page : 400 pages
File Size : 44,7 Mb
Release : 2006-08-31
Category : History
ISBN : 9780521815390

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Southeastern Europe in the Middle Ages, 500-1250 by Florin Curta Pdf

This book is an authoritative survey of the history of southeastern Europe from 500 to 1250.

Author : Rosemary Boross
Publisher : Dance Horizons
Page : 0 pages
File Size : 50,7 Mb
Release : 2008
Category : Ballet
ISBN : 087127289X

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Ballet Beginnings for Children by Rosemary Boross Pdf

Ballet Beginnings is designed specifically to gently prepare very young students for ballet technique. Teaching strategies are organized around a complete lesson plan for a year that includes warm up, creative movement, center work and work across the floor. Every lesson is structured with clearly stated goals, presentation and principles, correcting common mistakes and advancement followed by the exercise itself.

Author : Francesco Benvenuti
Publisher : CUP Archive
Page : 282 pages
File Size : 53,9 Mb
Release : 1988-10-28
Category : History
ISBN : 0521257719

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The Bolsheviks and the Red Army 1918-1921 by Francesco Benvenuti Pdf

The emergence of the military agency of the Soviet state is a crucial but neglected aspect of inter-war Soviet history, and in this pioneering study Francesco Benvenuti provides a detailed analysis of the politics (as opposed to the operational activities) of the Red Army during the Civil War. Several historians have suggested that the roots of Stalinism may be found in the Bolshevik experience during the Civil War, and Benvenuti shows that the military opposition inside the party was much stronger than conventionally supposed: Trotsky's subsequent political weakness owed much to his ruthless pursuit of military goals not always in direct harmony with party interests, as did his technocratic attempts to extend the role of specialist advisers at the expense of party officials.