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Author : Philip J. Davis,Reuben Hersh,Elena A. Marchisotto
Publisher : Springer Science & Business Media
Page : 118 pages
File Size : 45,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781461242802
Author : Philip J. Davis,Reuben Hersh,Elena Marchisotto
Publisher : Birkhauser
Page : 120 pages
File Size : 50,7 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 3764338490
The Companion Guide to The Mathematical Experience, Study Edition has been created as a teaching tool, not only for the teacher and the student, but also for those students who are potential teachers. Its major purpose is to enhance the value of The Mathematical Experience, Study Edition as a textbook for teachers and to provide content and method for prospective teachers. Thus, unlike instructional guides that are available to the adopting teacher only, this Companion is available to the student or the teacher who wants independently to develop further skills in teaching mathematics. An additional value is that it provides suggested topics to explore that are not in the text but that coordinate beautifully to the text. The inclusion of these topics makes The Companion Guide a flexible teaching tool, adaptable to a variety of courses and useable with many individual selections of other course materials.
Author : Philip Davis,Reuben Hersh,Elena Anne Marchisotto
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 47,6 Mb
Release : 2011-10-27
Category : Mathematics
ISBN : 9780817682941
Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.
Author : Reuben Hersh
Publisher : Oxford University Press
Page : 369 pages
File Size : 50,7 Mb
Release : 1997-08-21
Category : Mathematics
ISBN : 9780199839391
Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Author : C. Neville Dean,Raymond T. Boute
Publisher : Springer
Page : 252 pages
File Size : 49,5 Mb
Release : 2004-10-11
Category : Computers
ISBN : 9783540304722
“Professional engineers can often be distinguished from other designers by the engineers’ ability to use mathematical models to describe and 1 analyze their products.” This observation by Parnas describes the de facto professional standards in all classical engineering disciplines (civil, mechanical, electrical, etc.). Unf- tunately, it is in sharp contrast with current (industrial) practice in software design, where mathematical models are hardly used at all, even by those who, 2 in Holloway’s words “aspire to be engineers.” The rare exceptions are certain critical applications, where mathematical techniques are used under the general name formal methods. Yet,thesamecharacteristicsthatmakeformalmethodsanecessityincritical applicationsmakethemalsoadvantageousineverydaysoftwaredesignatvarious levels from design e?ciency to software quality. Why, then, is education failing with respect to formal methods? – failing to convince students, academics and practitioners alike that formal methods are truly pragmatic; – failing to overcome a phobia of formality and mathematics; – failing to provide students with the basic skills and understanding required toadoptamoremathematicalandlogicalapproachtosoftwaredevelopment. Until education takes these failings seriously, formal methods will be an obscure byway in software engineering, which in turn will remain severely impoverished as a result.
Author : Anonim
Publisher : Unknown
Page : 2230 pages
File Size : 43,8 Mb
Release : 1996
Category : American literature
ISBN : UOM:39015058373740
A world list of books in the English language.
Author : Anonim
Publisher : Unknown
Page : 308 pages
File Size : 53,9 Mb
Release : 1997
Category : Mathematics
ISBN : UCBK:C061766141
Author : Edward R. Scheinerman
Publisher : Yale University Press
Page : 295 pages
File Size : 51,9 Mb
Release : 2017-01-01
Category : Mathematics
ISBN : 9780300223002
Twenty-three mathematical masterpieces for exploration and enlightenment How can a shape have more than one dimension but fewer than two? What is the best way to elect public officials when more than two candidates are vying for the office? Is it possible for a highly accurate medical test to give mostly incorrect results? Can you tile your floor with regular pentagons? How can you use only the first digit of sales numbers to determine if your accountant is lying? Can mathematics give insights into free will? Edward Scheinerman, an accomplished mathematician and enthusiastic educator, answers all these questions and more in this book, a collection of mathematical masterworks. In bite-sized chapters that require only high school algebra, he invites readers to try their hands at solving mathematical puzzles and provides an engaging and friendly tour of numbers, shapes, and uncertainty. The result is an unforgettable introduction to the fundamentals and pleasures of thinking mathematically.
Author : Frederick L. Dillon,W. Gary Martin,Basil M. Conway IV,Marilyn E. Strutchens
Publisher : Corwin Press
Page : 504 pages
File Size : 42,8 Mb
Release : 2017-09-12
Category : Education
ISBN : 9781506395630
When it comes to math, standards-aligned is achievement-aligned… Since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. The authors lay out the pieces of an in-depth explanation, showing the mathematical progression of each conceptual category, how standards connect within and across domains, and what teachers and students should be doing every day to foster deep learning.
Author : Ruth Harbin Miles,Lois A. Williams
Publisher : Corwin Press
Page : 463 pages
File Size : 51,6 Mb
Release : 2016-03-23
Category : Education
ISBN : 9781506341651
"The Common Core Mathematics Companion 6-8 offers a practical guide for implementing the CCSS Math Standards. Teachers will appreciate the misconception alerts and ideas for differentiation." — Jay McTighe, Author and Consultant When it comes to math, standards-aligned is achievement-aligned… In the short time since The Common Core Mathematics Companions, Grades K-2 and 3-5 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new 6-8 volume, middle school math success is at your fingertips. Page by page, the authors lay out the pieces to a cutting-edge curriculum, helping you to: Get the inside scoop on which standards connect, what key vocabulary means, and time-saving tables showing where to focus instruction for each grade Write curriculum for: ratios and proportional relationships, the number system, expressions and equations, functions, geometry, and statistics & probability Use the What to Teach pages to deliver powerful standards-based lessons Learn effective techniques to create an environment where all students can experience math break-throughs Incorporate the Standards for Mathematical Practice to improve students’ ability to problem solve, construct viable arguments, use tools strategically, attend to precision, and more The Common Core Mathematics Companion, Grades 6–8 has what every middle school needs to provide students with the foundation for the concepts and skills they will be expected to know in grade 9–12. Ruth Harbin Miles is a mathematics coach, with special expertise in developing teachers’ content knowledge and strategies for engaging students to achieve high mathematics standards. A serving member on the Board of Directors for the National Council of Teachers of Mathematics and the National Council of Supervisors of Mathematics, Ruth is a co-author with Linda Gojak of The Common Core Mathematics Companions, K–2 and 3–5 (Corwin). Lois Williams, Ed.D., who taught mathematics in grades K–8 for 20 years, is currently an adjunct professor at Mary Baldwin College and an International Fellow with the Charles A. Dana Center, training teachers in the College and Career Readiness Standards She has been honored with a Fulbright Teacher Exchange and the Virginia Middle School Mathematics Teacher of the Year award.
Author : Anonim
Publisher : Unknown
Page : 700 pages
File Size : 53,5 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015038951110
Author : Ruth Harbin Miles,Lois A. Williams
Publisher : Corwin Press
Page : 336 pages
File Size : 54,9 Mb
Release : 2017-05-25
Category : Education
ISBN : 9781544304878
Transforming the standards into learning outcomes just got a lot easier In this resource, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, allowing you to see and understand which page number to turn to for standards-based teaching ideas. It’s all here, page by page: Get the inside scoop on which standards connect, what key vocabulary means, and time-saving tables showing where to focus instruction for each grade Write curriculum for: ratios and proportional relationships, the number system, expressions and equations, functions, geometry, and statistics & probability Use the What to Teach pages to deliver powerful standards-based lessons Learn effective techniques to create an environment where all students can experience math break-throughs Incorporate the Standards for Mathematical Practice to improve students’ ability to problem solve, construct viable arguments, use tools strategically, attend to precision, and more Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.
Author : Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Publisher : Corwin Press
Page : 317 pages
File Size : 53,6 Mb
Release : 2021-01-07
Category : Education
ISBN : 9781071810835
Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Author : Anonim
Publisher : Unknown
Page : 108 pages
File Size : 54,5 Mb
Release : 2001
Category : Mathematics
ISBN : OSU:32435061585923
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,9 Mb
Release : 1992
Category : Computer software
ISBN : CORNELL:31924074863436