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Mathematics Rebooted
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Book Synopsis Mathematics Rebooted by : Lara Alcock
Download or read book Mathematics Rebooted written by Lara Alcock and published by Oxford University Press. This book was released on 2017 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a key idea and kept getting stuck. Perhaps you always liked mathematics but gave it up because your main interest was music or languages or science or philosophy. Or perhaps you studied mathematics to advanced levels, but have now forgotten most of what you once knew. Whichever is the case, this book is for you. It aims to build on what you know, revisiting basic ideas with a focus on meaning. Each chapter starts with an idea from school mathematics - often primary school mathematics - and gradually builds up a network of links to more advanced material. It explores fundamental ideas in depth, using insights from research in mathematics education and psychology to explain why people often get confused, and how to overcome that confusion. For nervous readers, it will build confidence by clarifying basic ideas. For more experienced readers, it will highlight new connections to more advanced material. Throughout, the book explains how mathematicians think, and how ordinary people can understand and enjoy mathematical ideas and arguments. If you would like to be better informed about the intrinsic elegance of mathematics, this engaging guide is the place to start.
Book Synopsis Mathematics Rebooted by : Lara Alcock
Download or read book Mathematics Rebooted written by Lara Alcock and published by Oxford University Press. This book was released on 2017-10-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a key idea and kept getting stuck. Perhaps you always liked mathematics but gave it up because your main interest was music or languages or science or philosophy. Or perhaps you studied mathematics to advanced levels, but have now forgotten most of what you once knew. Whichever is the case, this book is for you. It aims to build on what you know, revisiting basic ideas with a focus on meaning. Each chapter starts with an idea from school mathematics - often primary school mathematics - and gradually builds up a network of links to more advanced material. It explores fundamental ideas in depth, using insights from research in mathematics education and psychology to explain why people often get confused, and how to overcome that confusion. For nervous readers, it will build confidence by clarifying basic ideas. For more experienced readers, it will highlight new connections to more advanced material. Throughout, the book explains how mathematicians think, and how ordinary people can understand and enjoy mathematical ideas and arguments. If you would like to be better informed about the intrinsic elegance of mathematics, this engaging guide is the place to start.
Book Synopsis The Best Writing on Mathematics 2018 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2018 written by Mircea Pitici and published by Princeton University Press. This book was released on 2018-12-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today’s hottest mathematical debates. James Grime shows how to build subtly mischievous dice for playing slightly unfair games and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world—with glimpses at science, philosophy, music, art, and even crocheting. And there’s much, much more. In addition to presenting the year’s most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.
Book Synopsis How to Think about Abstract Algebra by : Lara Alcock
Download or read book How to Think about Abstract Algebra written by Lara Alcock and published by Oxford University Press, USA. This book was released on 2021 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory. Abstract Algebra is central in most undergraduate mathematics degrees, and it captures regularities that appear across diverse mathematical structures - many people find it beautiful for this reason. But its abstraction can make its central ideas hard to grasp, and even the best students might find that they can follow some of the reasoning without really understanding what it is all about. This book aims to solve that problem. It is not like other Abstract Algebra texts and is not a textbook containing standard content. Rather, it is designed to be read before starting an Abstract Algebra course, or as a companion text once a course has begun. It builds up key information on five topics: binary operations, groups, quotient groups, isomorphisms and homomorphisms, and rings. It provides numerous examples, tables and diagrams, and its explanations are informed by research in mathematics education. The book also provides study advice focused on the skills that students need in order to learn successfully in their own Abstract Algebra courses. It explains how to interact productively with axioms, definitions, theorems and proofs, and how research in psychology should inform our beliefs about effective learning.
Book Synopsis The Infinite Staircase by : Geoffrey A. Moore
Download or read book The Infinite Staircase written by Geoffrey A. Moore and published by BenBella Books. This book was released on 2021-08-10 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: NAUTILUS BOOK AWARD GOLD MEDALIST — BODY, MIND, SPIRIT PRACTICES “Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase . . . provides a coherent and unified platform for a full human life.” —Midwest Book Review In this bold new book, high-tech’s best-known strategist makes a seminal contribution to the search for meaning in a secular era. Two questions fundamental to human existence have always been the metaphysical “where do I fit in the grand scheme of things?” and the ethical “how should I behave?” Religion is no longer a source of answers for many people, and nothing has replaced it. Moore uses his signature framework-based approach to answer these questions, taking us on an intellectual roller coaster ride through physics, chemistry, biology, the social sciences and the humanities. Along the way, he builds a metaphorical ladder that leads from the big bang to the need for ethical action in our daily lives. Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase: What the Universe Tells Us About Life, Ethics, and Mortality provides a coherent and unified platform for a full human life.
Book Synopsis How to Think About Analysis by : Lara Alcock
Download or read book How to Think About Analysis written by Lara Alcock and published by OUP Oxford. This book was released on 2014-09-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.
Book Synopsis Becoming the Math Teacher You Wish You'd Had by : Tracy Johnston Zager
Download or read book Becoming the Math Teacher You Wish You'd Had written by Tracy Johnston Zager and published by Taylor & Francis. This book was released on 2023-10-10 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Book Synopsis How to Think Like a Mathematician by : Kevin Houston
Download or read book How to Think Like a Mathematician written by Kevin Houston and published by Cambridge University Press. This book was released on 2009-02-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
Book Synopsis Patterns in Mathematics Classroom Interaction by : Jenni Ingram
Download or read book Patterns in Mathematics Classroom Interaction written by Jenni Ingram and published by . This book was released on 2021-03-02 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns in Mathematics Classroom Interaction describes, exemplifies and considers the implications of patterns and structures of mathematics classroom interaction.
Book Synopsis Mathematics Is the Poetry of Science by : Cedric Villani
Download or read book Mathematics Is the Poetry of Science written by Cedric Villani and published by Oxford University Press, USA. This book was released on 2020-03-04 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the words of the great poet Senghor, Cedric Villani makes the bold claim that Mathematics is the Poetry of Science. Perhaps paradoxical to some, both disciplines are concerned with describing the world around us, understanding its parts, and using this knowledge to create something profound. World-renowned mathematician and Fields Medallist Cedric Villani explores this analogy in this engaging and intelligent text, and shows how mathematics, one of the world's few universal languages, holds deep similarities to the literary genre. A great lover of poetry, he insists that the two are intrinsically linked in their aim of both tackling the complexities of our reality as well as distancing us from it so that we may better appreciate its beauty. In a more light-hearted and concise approach than his more theoretical academic works, this book represents one of Villani's attempts to communicate his love of mathematics to a wider audience, drawing daring parallels between two universes that meet in their aspiration of the sublime.
Download or read book Algebra written by Paolo Aluffi and published by Cambridge University Press. This book was released on 2021-06-03 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: A conversational introduction to abstract algebra from a modern, rings-first perspective, including a treatment of modules.
Book Synopsis The Scholarship of Teaching and Learning by : Jacqueline M. Dewar
Download or read book The Scholarship of Teaching and Learning written by Jacqueline M. Dewar and published by Oxford University Press. This book was released on 2018 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Scholarship of Teaching and Learning: A Guide for Scientists, Engineers, and Mathematicians shows college and university faculty members how to draw on their disciplinary knowledge and teaching experience to investigate questions about student learning. It takes readers all the way through the inquiry process beginning with framing a research question and selecting a research design, moving on to gathering and analyzing evidence, and finally to making the results public. Numerous examples are provided at each stage, many from published studies of teaching and learning in science, engineering, or mathematics. At strategic points, short sets of questions prompt readers to pause and reflect, plan, or act. These questions are derived from the authors' experience leading many workshops in the United States and Canada on how to do the scholarship of teaching and learning (SoTL). The taxonomy of SoTL questions-What works? What is? What could be?-that emerged from the SoTL studies undertaken by scholars in the Carnegie Academic for the Scholarship of Teaching and Learning serves as a framework at many stages of the inquiry process. The book addresses the issue of evaluating and valuing this work, including implications for junior faculty who wish to engage in SoTL. The authors explain why SoTL should be of interest to STEM (science, technology, engineering, and mathematics) faculty at all types of higher education institutions, including faculty members active in traditional STEM research. They also give their perspective on the benefits of SoTL to faculty, to their institutions, to the academy, and to students.
Book Synopsis Math, Better Explained by : Kalid Azad
Download or read book Math, Better Explained written by Kalid Azad and published by . This book was released on 2015-12-04 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math, Better Explained is an intuitive guide to the math fundamentals. Learn math the way your teachers always wanted.
Book Synopsis Microsoft Rebooted by : Robert Slater
Download or read book Microsoft Rebooted written by Robert Slater and published by . This book was released on 2004 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: No Marketing Blurb
Book Synopsis And Another Thing... by : Eoin Colfer
Download or read book And Another Thing... written by Eoin Colfer and published by Hachette Books. This book was released on 2009-10-12 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: And Another Thing ... will be the sixth novel in the now improbably named Hitchhiker's Guide to the Galaxy trilogy. Eight years after the death of its creator, Douglas Adams, the author's widow, Jane Belson, has given her approval for the project to be continued by the international number one bestselling children's writer, Eoin Colfer, author of the Artemis Fowl novels. Douglas Adams himself once said, 'I suspect at some point in the future I will write a sixth Hitchhiker book. Five seems to be a wrong kind of number, six is a better kind of number.' Belson said of Eoin Colfer, 'I love his books and could not think of a better person to transport Arthur, Zaphod and Marvin to pastures new.' Colfer, a fan of Hitchhiker since his schooldays, said, 'Being given the chance to write this book is like suddenly being offered the superpower of your choice. For years I have been finishing this incredible story in my head and now I have the opportunity to do it in the real world.' Prepare to be amazed...
Book Synopsis The Wonder Book of Geometry by : David Acheson
Download or read book The Wonder Book of Geometry written by David Acheson and published by Oxford University Press. This book was released on 2020-10-22 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.
Book Synopsis The Smart Wife by : Yolande Strengers
Download or read book The Smart Wife written by Yolande Strengers and published by MIT Press. This book was released on 2020-09-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bold dive into the problematic development (and developers) of "smart wives"--feminized digital assistants who are friendly, sometimes flirty, docile, efficient, occasionally glitchy, and perpetually available. Meet the Smart Wife--at your service, an eclectic collection of feminized AI, robotic, and smart devices. This digital assistant is friendly and sometimes flirty, docile and efficient, occasionally glitchy but perpetually available. She might go by Siri, or Alexa, or inhabit Google Home. She can keep us company, order groceries, vacuum the floor, turn out the lights. A Japanese digital voice assistant--a virtual anime hologram named Hikari Azuma--sends her "master" helpful messages during the day; an American sexbot named Roxxxy takes on other kinds of household chores. In The Smart Wife, Yolande Strengers and Jenny Kennedy examine the emergence of digital devices that carry out "wifework"--domestic responsibilities that have traditionally fallen to (human) wives. They show that the principal prototype for these virtual helpers--designed in male-dominated industries--is the 1950s housewife: white, middle class, heteronormative, and nurturing, with a spick-and-span home. It's time, they say, to give the Smart Wife a reboot.
