The Essence Of Mathematics Through Elementary Problems

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The Essence of Mathematics

Author : Alexandre Borovik
Publisher :
ISBN 13 : 9781783747016
Total Pages : 374 pages
Book Rating : 4.7/5 (47 download)

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Book Synopsis The Essence of Mathematics by : Alexandre Borovik

Download or read book The Essence of Mathematics written by Alexandre Borovik and published by . This book was released on 2019 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is increasingly clear that the shapes of reality - whether of the natural world, or of the built environment - are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself 'tick', and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems - with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works."--Publisher's website.

The Essence of Mathematics Through Elementary Problems

Author : Alexandre Borovik
Publisher :
ISBN 13 : 9781783746996
Total Pages : 398 pages
Book Rating : 4.7/5 (469 download)

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Book Synopsis The Essence of Mathematics Through Elementary Problems by : Alexandre Borovik

Download or read book The Essence of Mathematics Through Elementary Problems written by Alexandre Borovik and published by . This book was released on 2019-06-11 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

What is Mathematics?

Author : Richard Courant
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (918 download)

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Book Synopsis What is Mathematics? by : Richard Courant

Download or read book What is Mathematics? written by Richard Courant and published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Elementary Topology

Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886250
Total Pages : 432 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Elementary Topology by : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov

Download or read book Elementary Topology written by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov and published by American Mathematical Soc.. This book was released on with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.

100 Great Problems of Elementary Mathematics

Author : Heinrich Dörrie
Publisher : Courier Corporation
ISBN 13 : 0486318478
Total Pages : 416 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis 100 Great Problems of Elementary Mathematics by : Heinrich Dörrie

Download or read book 100 Great Problems of Elementary Mathematics written by Heinrich Dörrie and published by Courier Corporation. This book was released on 2013-04-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

One Hundred Problems in Elementary Mathematics

Author : Hugo Steinhaus
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (223 download)

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Book Synopsis One Hundred Problems in Elementary Mathematics by : Hugo Steinhaus

Download or read book One Hundred Problems in Elementary Mathematics written by Hugo Steinhaus and published by . This book was released on 1923 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Mathematics

Author : Carl B. Boyer
Publisher : John Wiley & Sons
ISBN 13 : 0470525487
Total Pages : 695 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis A History of Mathematics by : Carl B. Boyer

Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

All the Mathematics You Missed

Author : Thomas A. Garrity
Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302090854
Total Pages : 380 pages
Book Rating : 4.0/5 (98 download)

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Book Synopsis All the Mathematics You Missed by : Thomas A. Garrity

Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conceptual Mathematics

Author : F. William Lawvere
Publisher : Cambridge University Press
ISBN 13 : 0521894859
Total Pages : 409 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Conceptual Mathematics by : F. William Lawvere

Download or read book Conceptual Mathematics written by F. William Lawvere and published by Cambridge University Press. This book was released on 2009-07-30 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.

Math for Life: Crucial Ideas You Didn't Learn in School

Author :
Publisher : Jeffrey Bennett
ISBN 13 : 193754818X
Total Pages : 302 pages
Book Rating : 4.9/5 (375 download)

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Book Synopsis Math for Life: Crucial Ideas You Didn't Learn in School by :

Download or read book Math for Life: Crucial Ideas You Didn't Learn in School written by and published by Jeffrey Bennett. This book was released on with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Knowing and Teaching Elementary Mathematics

Author : Liping Ma
Publisher : Routledge
ISBN 13 : 1135149496
Total Pages : 329 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

The Stanford Mathematics Problem Book

Author : George Polya
Publisher : Courier Corporation
ISBN 13 : 048631832X
Total Pages : 80 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis The Stanford Mathematics Problem Book by : George Polya

Download or read book The Stanford Mathematics Problem Book written by George Polya and published by Courier Corporation. This book was released on 2013-04-09 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

Knowing and Learning Mathematics for Teaching

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309072522
Total Pages : 233 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Knowing and Learning Mathematics for Teaching by : National Research Council

Download or read book Knowing and Learning Mathematics for Teaching written by National Research Council and published by National Academies Press. This book was released on 2001-02-25 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.

Word Problems from Literature

Author : Denise Gaskins
Publisher : Tabletop Academy Press
ISBN 13 : 1892083639
Total Pages : 222 pages
Book Rating : 4.8/5 (92 download)

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Book Synopsis Word Problems from Literature by : Denise Gaskins

Download or read book Word Problems from Literature written by Denise Gaskins and published by Tabletop Academy Press. This book was released on with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: You can help prevent math anxiety by giving your children the mental tools they need to conquer story problems. Young children expect to look at a word problem and instantly see the answer. But as they get older, their textbook math problems also grow in difficulty, so this solution-by-intuitive-leap becomes impossible. Too often the frustrated child concludes, “I’m just not good at math.” But with practice, any student can learn to master word problems. Word Problems from Literature features math puzzles for elementary and middle school students inspired by classic books such as Mr. Popper's Penguins and The Hobbit. Denise Gaskins demonstrates step by step how to solve these problems--and how to build a strong foundation of problem-solving skills that can handle any situation. And when you finish the puzzles in this book, Denise shows you how to create your own word problems from literature, using your child’s favorite story worlds. You'll love this book, because it prepares your children for mathematical success. Order your copy of Word Problems from Literature today. * * * If you’re using these word problems with your children, check out the companion Word Problems Student Workbook: Word Problems from Literature.

Living Proof

Author : Allison K. Henrich
Publisher :
ISBN 13 : 9781470452810
Total Pages : 136 pages
Book Rating : 4.4/5 (528 download)

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Book Synopsis Living Proof by : Allison K. Henrich

Download or read book Living Proof written by Allison K. Henrich and published by . This book was released on 2019 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.