Mathematical Reflections

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Mathematical Reflections

Author : Peter Hilton
Publisher : Springer Science & Business Media
ISBN 13 : 1461219329
Total Pages : 367 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Reflections by : Peter Hilton

Download or read book Mathematical Reflections written by Peter Hilton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.

Mathematical Reflections

Author : Titu Andreescu
Publisher :
ISBN 13 : 9780979926921
Total Pages : 619 pages
Book Rating : 4.9/5 (269 download)

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Book Synopsis Mathematical Reflections by : Titu Andreescu

Download or read book Mathematical Reflections written by Titu Andreescu and published by . This book was released on 2011-08-15 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at high school students, participants in math competitions, undergraduates, as well as anyone who has a fire for mathematics. Many of the problems, solutions, and articles were submitted by passionate readers. They require creativity, experience, and comprehensive mathematical knowledge. The junior section features introductory problems. The senior and Olympiad sections are for students preparing for USAMO or the IMO. The graduate section offers college students a unique opportunity to solve non-routine problems in areas such as linear algebra, calculus, or graph theory.

Mathematical Reflections

Author : Titu Andreescu
Publisher :
ISBN 13 : 9780999342893
Total Pages : pages
Book Rating : 4.3/5 (428 download)

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Book Synopsis Mathematical Reflections by : Titu Andreescu

Download or read book Mathematical Reflections written by Titu Andreescu and published by . This book was released on 2020-12-30 with total page 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.

Mathematics in Kant's Critical Philosophy

Author : Lisa Shabel
Publisher : Routledge
ISBN 13 : 113537063X
Total Pages : 249 pages
Book Rating : 4.1/5 (353 download)

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Book Synopsis Mathematics in Kant's Critical Philosophy by : Lisa Shabel

Download or read book Mathematics in Kant's Critical Philosophy written by Lisa Shabel and published by Routledge. This book was released on 2017-09-25 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

International Reflections on the Netherlands Didactics of Mathematics

Author : Marja van den Heuvel-Panhuizen
Publisher : Springer
ISBN 13 : 3030202232
Total Pages : 369 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis International Reflections on the Netherlands Didactics of Mathematics by : Marja van den Heuvel-Panhuizen

Download or read book International Reflections on the Netherlands Didactics of Mathematics written by Marja van den Heuvel-Panhuizen and published by Springer. This book was released on 2019-08-13 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.

Mathematical Reflections

Author : Titu Andreescu
Publisher :
ISBN 13 : 9780988562219
Total Pages : 0 pages
Book Rating : 4.5/5 (622 download)

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Book Synopsis Mathematical Reflections by : Titu Andreescu

Download or read book Mathematical Reflections written by Titu Andreescu and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation and revision of the 2012 and 2013 volumes from the online journal of the same name. This book is aimed at high school students, participants in math competitions, undergraduates, and anyone who has a fire for mathematics. Passionate readers submitted many of the problems, solutions, and articles and all require creativity, experience, and comprehensive mathematical knowledge. This book is a great resource for students training for advanced national and international mathematics competitions such as USAMO and IMO.

National Reflections on the Netherlands Didactics of Mathematics

Author : Marja Van den Heuvel-Panhuizen
Publisher : Springer Nature
ISBN 13 : 303033824X
Total Pages : 348 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis National Reflections on the Netherlands Didactics of Mathematics by : Marja Van den Heuvel-Panhuizen

Download or read book National Reflections on the Netherlands Didactics of Mathematics written by Marja Van den Heuvel-Panhuizen and published by Springer Nature. This book was released on 2020-01-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

Becoming the Math Teacher You Wish You'd Had

Author : Tracy Johnston Zager
Publisher : Taylor & Francis
ISBN 13 : 1003839517
Total Pages : 393 pages
Book Rating : 4.0/5 (38 download)

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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.

Reflections on the Foundations of Mathematics

Author : Stefania Centrone
Publisher : Springer Nature
ISBN 13 : 3030156559
Total Pages : 511 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Reflections on the Foundations of Mathematics by : Stefania Centrone

Download or read book Reflections on the Foundations of Mathematics written by Stefania Centrone and published by Springer Nature. This book was released on 2019-11-11 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives. The volume is divided into three sections, the first two of which focus on the two most prominent candidate theories for a foundation of mathematics. Readers may trace current research in set theory, which has widely been assumed to serve as a framework for foundational issues, as well as new material elaborating on the univalent foundations, considering an approach based on homotopy type theory (HoTT). The third section then builds on this and is centred on philosophical questions connected to the foundations of mathematics. Here, the authors contribute to discussions on foundational criteria with more general thoughts on the foundations of mathematics which are not connected to particular theories. This book shares the work of some of the most important scholars in the fields of set theory (S. Friedman), non-classical logic (G. Priest) and the philosophy of mathematics (P. Maddy). The reader will become aware of the advantages of each theory and objections to it as a foundation, following the latest and best work across the disciplines and it is therefore a valuable read for anyone working on the foundations of mathematics or in the philosophy of mathematics.

Mathematicians’ Reflections on Teaching

Author : Sepideh Stewart
Publisher : Springer Nature
ISBN 13 : 303134295X
Total Pages : 286 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Mathematicians’ Reflections on Teaching by : Sepideh Stewart

Download or read book Mathematicians’ Reflections on Teaching written by Sepideh Stewart and published by Springer Nature. This book was released on with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math with Bad Drawings

Author : Ben Orlin
Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Mathematical Reflections

Author : Titu Andreescu
Publisher :
ISBN 13 : 9780979926969
Total Pages : 0 pages
Book Rating : 4.9/5 (269 download)

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Book Synopsis Mathematical Reflections by : Titu Andreescu

Download or read book Mathematical Reflections written by Titu Andreescu and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation and revision of the 2008 and 2009 volumes from the online journal of the same name. This book is aimed at high school students, participants in math competitions, undergraduates, and anyone who has a fire for mathematics. Many of the problems, solutions, and articles were submitted by passionate readers and all require creativity, experience, and comprehensive mathematical knowledge. This book is a great resource for students training for advanced national and international mathematics competitions such as USAMO and IMO.

Reflections on Time and Politics

Author : Nathan Widder
Publisher : Penn State Press
ISBN 13 : 0271033940
Total Pages : 222 pages
Book Rating : 4.2/5 (71 download)

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Book Synopsis Reflections on Time and Politics by : Nathan Widder

Download or read book Reflections on Time and Politics written by Nathan Widder and published by Penn State Press. This book was released on 2008 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Explores the nature of time and its implications for questions of politics, ethics, and the self. Shows how a conception of time that breaks with common sense notions of chronological order can help us rethink the understandings of identity, difference, power, resistance, and overcoming"--Provided by publisher.

How I Wish I Had Taught Maths: Reflections on research, conversations with experts, and 12 years of mistakes

Author : Craig Barton
Publisher : John Catt
ISBN 13 : 1913808491
Total Pages : 283 pages
Book Rating : 4.9/5 (138 download)

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Book Synopsis How I Wish I Had Taught Maths: Reflections on research, conversations with experts, and 12 years of mistakes by : Craig Barton

Download or read book How I Wish I Had Taught Maths: Reflections on research, conversations with experts, and 12 years of mistakes written by Craig Barton and published by John Catt. This book was released on 2018-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago."Craig Barton is one of the UK's most respected teachers of mathematics. In his remarkable new book, he explains how he has delved into the world of academic research and emerged with a range of simple, practical, effective strategies that anyone can employ to save time and energy and have a positive impact on the long-term learning and enjoyment of students. Craig presents the findings of over 100 books and research articles from the fields of Cognitive Science, Memory, Psychology and Behavioural Economics, together with the conversations he has had with world renowned educational experts on his Mr Barton Maths Podcast, and subsequent experiments with my students and colleagues.

Integrating Science, Technology, Engineering, and Mathematics

Author : Léonie Rennie
Publisher : Routledge
ISBN 13 : 1136636684
Total Pages : 161 pages
Book Rating : 4.1/5 (366 download)

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Book Synopsis Integrating Science, Technology, Engineering, and Mathematics by : Léonie Rennie

Download or read book Integrating Science, Technology, Engineering, and Mathematics written by Léonie Rennie and published by Routledge. This book was released on 2012-05-23 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can curriculum integration of school science with the related disciplines of technology, engineering and mathematics (STEM) enhance students’ skills and their ability to link what they learn in school with the world outside the classroom? Featuring actual case studies of teachers’ attempts to integrate their curriculum, their reasons for doing so, how they did it, and their reflections on the outcomes, this book encourages science educators to consider the purposes and potential outcomes of this approach and raises important questions about the place of science in the school curriculum. It takes an honest approach to real issues that arise in curriculum integration in a range of education contexts at the elementary and middle school levels. The clear documentation and critical analysis of the contribution of science in curriculum integration—its implementation and its strengths and weaknesses—will assist teachers, science educators, and researchers to understand how this approach can work to engage students and improve their learning, as well as how it does not happen easily, and how various factors can facilitate or hinder successful integration.

Geometry of Grief

Author : Michael Frame
Publisher : University of Chicago Press
ISBN 13 : 0226826481
Total Pages : 175 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Geometry of Grief by : Michael Frame

Download or read book Geometry of Grief written by Michael Frame and published by University of Chicago Press. This book was released on 2023-05-06 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This engaging short book is both a mathematician's reflections on grief and a mathematically-informed theory of grieving. Michael Frame retired in 2016 as a professor of mathematics at Yale University, where students fought for a place in his course on fractal geometry. Students appreciated his use of accessible examples- decalcomania paintings and illustrations of cats to explain mathematical concepts-and stories of his work and friendship with the founder of fractal geometry, Benoit Mandelbrot. In this book, he continues his work to make mathematics accessible, using his experiences with grief to give uninitiated readers insights into advanced topics in geometry. The inability to repeat an "aha moment", when you first learn something, is one type of grief that Frame examines. He connects this irreversible loss of perspective to more consequential grief-loss of a career or of a loved one-and explains ways he has thought mathematically about grieving and coping with grief. Frame is an authentic and sympathetic voice. He retired after discovering that he had an inoperable brain tumor and feeling the effects of his cancer on his teaching career. His connections and insights make this a timely and moving book in our time of personal and collective grief"--