Doing Mathematics
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Doing Mathematics Convention Subject Calculation Analogy 2nd Edition
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Author : Martin H Krieger
language : en
Publisher: World Scientific
Release Date : 2015-01-15
Doing Mathematics Convention Subject Calculation Analogy 2nd Edition written by Martin H Krieger and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-15 with Mathematics categories.
Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics — what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see 'an identity in a manifold presentation of profiles,' as the phenomenologists would say.This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an 'ugly' first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlevé transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.
The Beauty Of Doing Mathematics
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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Beauty Of Doing Mathematics written by Serge Lang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
If someone told you that mathematics is quite beautiful, you might be surprised. But you should know that some people do mathematics all their lives, and create mathematics, just as a composer creates music. Usually, every time a mathematician solves a problem, this gives rise to many oth ers, new and just as beautiful as the one which was solved. Of course, often these problems are quite difficult, and as in other disciplines can be understood only by those who have studied the subject with some depth, and know the subject well. In 1981, Jean Brette, who is responsible for the Mathematics Section of the Palais de la Decouverte (Science Museum) in Paris, invited me to give a conference at the Palais. I had never given such a conference before, to a non-mathematical public. Here was a challenge: could I communicate to such a Saturday afternoon audience what it means to do mathematics, and why one does mathematics? By "mathematics" I mean pure mathematics. This doesn't mean that pure math is better than other types of math, but I and a number of others do pure mathematics, and it's about them that I am now concerned. Math has a bad reputation, stemming from the most elementary levels. The word is in fact used in many different contexts. First, I had to explain briefly these possible contexts, and the one with which I wanted to deal.
Doing Mathematics
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Author : Steven Galovich
language : en
Publisher: Brooks Cole
Release Date : 1993
Doing Mathematics written by Steven Galovich and has been published by Brooks Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Mathematics majors learn the underlying concepts and how to apply them to problem solving and proofs in this introduction to the fundamentals in mathematical reasoning and the basic properties of the real numbers and set theory. Proof techniques are covered in detail so that students gain the background they need for courses in abstract algebra and real analysis.
I Can T Do Maths
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Author : Professor Alf Coles
language : en
Publisher: Bloomsbury Publishing
Release Date : 2022-05-12
I Can T Do Maths written by Professor Alf Coles and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-12 with Education categories.
An insightful, myth-busting book based on one core belief: maths doesn't have to be scary! Exploring the many myths around teaching and learning mathematics, this book offers practical strategies to implement new ways of thinking and inspire teacher and pupil confidence in every primary maths lesson. Whether you're an ECT finding your way around the maths curriculum, or an experienced teacher looking to boost your practice, this book is full of in-depth case studies, inventive lesson ideas and easy-to-digest theory to make maths enjoyable and accessible for you and your pupils. From 'maths is always right or wrong' to 'maths is for some people not others', Professor Alf Coles and Professor Nathalie Sinclair explain why these common dogmas inhibit learners and contribute to the maths anxiety that many children and even teachers face. Other chapters include a practical focus, explaining ideas such as choral counting in steps as a whole class and presenting a maths question as a 'soap opera', as well as real-life case studies for using Cuisenaire rods and climate change statistics to engage and inspire pupils. This is the perfect book for primary teachers looking to reignite a love of mathematics in their classroom and improve learning outcomes for all pupils.
What Successful Math Teachers Do Grades 6 12
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Author : Alfred S. Posamentier
language : en
Publisher: Corwin Press
Release Date : 2013-07-05
What Successful Math Teachers Do Grades 6 12 written by Alfred S. Posamentier and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-05 with Education categories.
The math teacher’s go-to resource—now updated for the Common Core! What works in math and why has never been the issue; the research is all out there. Where teachers struggle is the "how"—something the research rarely manages to tackle. That’s the big service What Successful Math Teachers Do provides. It’s a powerful portal to what the best research looks like in practice, strategy by strategy—aligned in this new edition to both the Common Core and the NCTM Standards. How exactly does What Successful Math Teachers Do work? It couldn’t be easier to navigate. The book’s eleven chapters organize clusters of strategies around a single aspect of a typical instructional program. For each of the 80 strategies, the authors present: • A brief description of that strategy • A summary of supporting research • The NCTM and Common Core Standards it meets--and how • Classroom applications, with examples • Precautions and possible pitfalls • Primary sources for further reading and research Whether you’re a newly minted math teacher or veteran looking to fine-tune your teaching, What Successful Math Teachers Do is your best resource for successful standards-based instruction.
What Does Understanding Mathematics Mean For Teachers
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Author : Yuichi Handa
language : en
Publisher: Taylor & Francis
Release Date : 2013-05-13
What Does Understanding Mathematics Mean For Teachers written by Yuichi Handa and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Education categories.
This book opens up alternative ways of thinking and talking about ways in which a person can "know" a subject (in this case, mathematics), leading to a reconsideration of what it may mean to be a teacher of that subject. In a number of European languages, a distinction is made in ways of knowing that in the English language is collapsed into the singular word know. In French, for example, to know in the savoir sense is to know things, facts, names, how and why things work, and so on, whereas to know in the connaître sense is to know a person, a place, or even a thing—namely, an other— in such a way that one is familiar with, or in relationship with this other. Primarily through phenomenological reflection with a touch of empirical input, this book fleshes out an image for what a person’s connaître knowing of mathematics might mean, turning to mathematics teachers and teacher educators to help clarify this image.
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Author :
language : en
Publisher: EduGorilla Community Pvt. Ltd.
Release Date :
written by and has been published by EduGorilla Community Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Doing The Scholarship Of Teaching And Learning In Mathematics
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Author : Jacqueline M. Dewar
language : en
Publisher: The Mathematical Association of America
Release Date : 2014-11-03
Doing The Scholarship Of Teaching And Learning In Mathematics written by Jacqueline M. Dewar and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-03 with Mathematics categories.
The Scholarship of Teaching and Learning (SoTL) movement encourages faculty to view teaching “problems” as invitations to conduct scholarly investigations. In this growing field of inquiry faculty bring their disciplinary knowledge and teaching experience to bear on questions of teaching and learning. They systematically gather evidence to develop and support their conclusions. The results are to be peer reviewed and made public for others to build on. This Notes volume is written expressly for collegiate mathematics faculty who want to know more about conducting scholarly investigations into their teaching and their students’ learning. Envisioned and edited by two mathematics faculty, the volume serves as a how-to guide for doing SoTL in mathematics.
What S Math Got To Do With It
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Author : Jo Boaler
language : en
Publisher: Penguin
Release Date : 2015-04-28
What S Math Got To Do With It written by Jo Boaler and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-28 with Education categories.
“Highly accessible and enjoyable for readers who love and loathe math.” —Booklist A critical read for teachers and parents who want to improve children’s mathematics learning, What’s Math Got to Do with It? is “an inspiring resource” (Publishers Weekly). Featuring all the important advice and suggestions in the original edition of What’s Math Got to Do with It?, this revised edition is now updated with new research on the brain and mathematics that is revolutionizing scientists’ understanding of learning and potential. As always Jo Boaler presents research findings through practical ideas that can be used in classrooms and homes. The new What’s Math Got to Do with It? prepares teachers and parents for the Common Core, shares Boaler’s work on ways to teach mathematics for a “growth mindset,” and includes a range of advice to inspire teachers and parents to give their students the best mathematical experience possible.
Making Mathematics Accessible To English Learners
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Author :
language : en
Publisher: WestEd
Release Date : 2009
Making Mathematics Accessible To English Learners written by and has been published by WestEd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
This practical book helps middle and high school mathematics teachers effectively reach English learners in their classrooms. Designed for teachers who have had limited preparation for teaching mathematics to English learners, the guide offers an integrated approach to teaching mathematics content and English language skills, including guidance on best instructional practices from the field, powerful and concrete strategies for teaching mathematics content along with academic language, and sample lesson scenarios that can be implemented immediately in any mathematics class. It includes: Rubrics to help teachers identify the most important language skills at five ELD levels Practical guidance and tips from the field Seven scaffolding strategies for differentiating instruction Seven tools to promote mathematical language Assessment techniques and accommodations to lower communication barriers for English learners Three integrated lesson scenarios demonstrating how to combine and embed these various strategies, tools, techniques, and approaches Chapter topics include teaching inquiry-based mathematics, understanding first and second language development, teaching the language of mathematics, scaffolding mathematics learning, and applying strategies in the classroom.