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 341 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.

Download or read book Thinking Like a Mathematician written by Mary-Lyons Walk Hanks and published by Routledge. This book was released on 2021-10-10 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Like a Mathematician focuses on high-interest, career-related topics in the elementary curriculum related to mathematics. Students will explore interdisciplinary content, foster creativity, and develop higher order thinking skills with activities aligned to relevant content area standards. Students will engage in exploration activities, complete mathematical challenges, and then apply what they have learned by making real-world connections. Thinking Like a Mathematician reflects key emphases of curricula from the Center for Gifted Education at William & Mary, including the development of process skills in various content areas and the enhancement of discipline-specific thinking and habits of mind through hands-on activities. Grade 3

Download or read book The Art of Logic in an Illogical World written by Eugenia Cheng and published by Basic Books. This book was released on 2018-09-11 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin Press. This book was released on 2014-05-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Download or read book Introduction to Mathematical Thinking written by Keith J. Devlin and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.

Download or read book Think Like a Mathematician written by Anne Rooney and published by 'The Rosen Publishing Group, Inc'. This book was released on 2021-07-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is all around us. It is the universal language that allows us to work with numbers, patterns, processes, and the rules that govern the entire universe. Math enables us to understand our surroundings and model and predict phenomena. This insightful and comprehensive volume answers a series of compelling mathematical and life-related questions in an entertaining and informative way, showing inquisitive readers how math is the basis for just about everything they experience in their daily lives.

Download or read book How Mathematicians Think written by William Byers and published by Princeton University Press. This book was released on 2010-05-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

Download or read book A Mind for Numbers written by Barbara A. Oakley and published by TarcherPerigee. This book was released on 2014-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Download or read book Thnking Mathematically written by J Mason and published by Pearson Higher Ed. This book was released on 2011-01-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.

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.

Download or read book Secondary Mathematics for Mathematicians and Educators written by Michael Weiss and published by Routledge. This book was released on 2020-10-05 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this engaging text, Michael Weiss offers an advanced view of the secondary mathematics curriculum through the prism of theory, analysis, and history, aiming to take an intellectually and mathematically mature perspective on the content normally taught in high school mathematics courses. Rather than a secondary mathematics textbook, Weiss presents here a textbook about the secondary mathematics curriculum, written for mathematics educators and mathematicians and presenting a long-overdue modern-day integration of the disparate topics and methods of secondary mathematics into a coherent mathematical theory. Areas covered include: Polynomials and polynomial functions; Geometry, graphs, and symmetry; Abstract algebra, linear algebra, and solving equations; Exponential and logarithmic functions; Complex numbers; The historical development of the secondary mathematics curriculum. Written using precise definitions and proofs throughout on a foundation of advanced content knowledge, Weiss offers a compelling and timely investigation into the secondary mathematics curriculum, relevant for preservice secondary teachers as well as graduate students and scholars in both mathematics and mathematics education.

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: Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“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"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews 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.

Download or read book Think Like A Computer written by Terysa Ridgeway and published by Terysa Ridgeway. This book was released on 2021-12-01 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eight-year-old Terysa loves to solve problems. Give her some time and she'll figure out how to solve anything. So when Terysa is given an older computer for her birthday, she faces her biggest challenge yet: can she make it talk? Terysa is full of good ideas, but will any of them work, or does she need to change her approach and think less like a human and think more like a computer? This fun and interactive story introduces children to the basics of coding through an engaging narrative based on the true story of a little girl who loves to solve problems! Looking for more resources for your family or students? Sign up to extend the lesson with FREE age-appropriate lessons according to state and federal education standards at https://www.terysasolvesit.com/extend-the-lesson

Download or read book Teaching Gifted Children written by Jeff Danielian and published by Routledge. This book was released on 2021-09-23 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the pages of Teaching for High Potential, a quarterly publication of the National Association for Gifted Children, this collection of articles is sure to be of use to any educator of high-ability students. Topics included range from instructional methods across all content areas, including tips and tools for reading and vocabulary instruction, integrating STEM content, and engaging students in math, to identification, differentiation, and addressing gifted students' social-emotional needs. Articles also delve into current issues pertinent to the field of gifted education and this unique group of students, including underachievement and underrepresented minority populations, as well as new classroom strategies such as Makerspaces and teaching growth mindset. This resource can be used to enhance a classroom lesson, guide curriculum development, or supplement professional development. The featured articles are unique, well written for the audience, and selected by reviewers who understand what teachers need.

Download or read book Look I m a Mathematician written by DK and published by Penguin. This book was released on 2019-09-17 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This playful preschool math activity book will unleash your child's curiosity as they play their way through 20 fantastic math projects. Each easy step-by-step activity is hands-on and practical to encourage budding mathematicians to use their senses. Look I'm A Mathematician explores essential math topics to get children prepared for school - the perfect math ebook for kids ages 3 to 6. Look I'm A Mathematician is full of activities to show young readers just how much fun math can be! Children will discover that math has a part in everything in the world and that they already have the tools they need to become magical mathematicians - a curious mind, unlimited imagination, and super senses. A great introduction to learning math, this ebook teaches kids the magic of numbers through play with number bugs, creating a hungry adding robot, learning about subtraction by playing skittles, crafting 3D shape aliens, and even making a repeating pattern fruit wand. Covering a comprehensive range of math topics, from counting and numbers to shape and size, and measurements and time, this is the perfect first math ebook for children. Every fun project features a mixture of bright photography and charming illustrations that support the easy-to-follow activity instructions. These creative hands-on activities support classroom math taught in schools. Look I'm A Mathematician allows little readers to do what they do best - imagine, create, learn, problem-solve, and play their way to math magic! Try Out Amazing Projects! You don't need a fancy calculator or a whiteboard full of big numbers to be a mathematician. You already have everything you need - your amazing brain and your senses! Look I'm A Mathematician is full of puzzles to solve, things to work out, and brain teasers. This educational ebook is full of fun math activities for kids like: - A math treasure hunt - Making shape aliens - Measuring things - Clever counting - And much, much more! DK's Look! I'm Learning series of exciting and educational STEM ebooks, focus on the sensory experience of practical learning and play. Hands-on learning experiences tap straight into kids' insatiable curiosity and sense of wonder. These ebooks for children are perfect for ages 3 – 6, formatted with a padded cover and toddler-tough pages. The series encourages children to develop independence and improves their critical thinking, investigation skills, and motor skills. Try the other titles in the series next, including Look I'm A Cook, Look I'm A Scientist, and Look I'm An Engineer.

Download or read book What is Mathematics written by Richard Courant and published by . This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Download or read book Thinking In Numbers written by Daniel Tammet and published by Little, Brown Spark. This book was released on 2013-07-30 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The irresistibly engaging book that "enlarges one's wonder at Tammet's mind and his all-embracing vision of the world as grounded in numbers" (Oliver Sacks, MD). Thinking in Numbers is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired variously by the complexity of snowflakes, Anne Boleyn's eleven fingers, and his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. His provocative and inspiring new book will change the way you think about math and fire your imagination to view the world with fresh eyes.