Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

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  • Author: William P. Berlinghoff
  • Publisher: American Mathematical Soc.
  • ISBN: 1939512123
  • Category : Education
  • Languages : en
  • Pages : 349

`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.


Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

PDF Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition Download

  • Author: William P. Berlinghoff
  • Publisher: American Mathematical Soc.
  • ISBN: 147046456X
  • Category : Education
  • Languages : en
  • Pages : 331

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.


Math Through the Ages

Math Through the Ages

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  • Author: William P. Berlinghoff
  • Publisher:
  • ISBN: 9781470458263
  • Category : Mathematics
  • Languages : en
  • Pages : 331

"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"--


Math Through the Ages

Math Through the Ages

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  • Author: William P. Berlinghoff
  • Publisher:
  • ISBN: 9780012943236
  • Category : Mathematics
  • Languages : en
  • Pages : 280


N equals 1

N equals 1

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  • Author: Gerhard Mayer
  • Publisher: LIT Verlag Münster
  • ISBN: 3643911238
  • Category :
  • Languages : en
  • Pages :

Single case studies have a long tradition in the field of parapsychology and anomalistics research. Naturally, thorough case studies do not usually provide hard evidence for the existence of paranormal effects. However, they demonstrate the dynamics of occurrence of such extraordinary phenomena and experiences in the living world. This volume is intended to give an overview of the methodological peculiarities of anomalistic field research. On the basis of historical and current case studies, certain specific psychosocial dynamics and problems in this interesting and challenging field of research are presented and discussed.


The Mathematics That Every Secondary School Math Teacher Needs to Know

The Mathematics That Every Secondary School Math Teacher Needs to Know

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  • Author: Alan Sultan
  • Publisher: Routledge
  • ISBN: 1315391899
  • Category : Education
  • Languages : en
  • Pages : 760

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


Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition

Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition

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  • Author: Dan Kalman
  • Publisher: American Mathematical Soc.
  • ISBN: 1470450011
  • Category : Mathematical analysis
  • Languages : en
  • Pages : 509

Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.


A Book of Abstract Algebra

A Book of Abstract Algebra

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  • Author: Charles C Pinter
  • Publisher: Courier Corporation
  • ISBN: 0486474178
  • Category : Mathematics
  • Languages : en
  • Pages : 402

Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.


Mathematical Time Capsules

Mathematical Time Capsules

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  • Author: Dick Jardine
  • Publisher: MAA
  • ISBN: 088385984X
  • Category : Computer science
  • Languages : en
  • Pages : 305

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.


Teach Your Child to Read in 100 Easy Lessons

Teach Your Child to Read in 100 Easy Lessons

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  • Author: Phyllis Haddox
  • Publisher: Simon and Schuster
  • ISBN: 0671631985
  • Category : Education
  • Languages : en
  • Pages : 416

A step-by-step program that shows parents, simply and clearly, how to teach their child to read in just 20 minutes a day.