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| best way to get better at math: A Book of Abstract Algebra Charles C Pinter, 2010-01-14 Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition. |
| best way to get better at math: Learning How to Learn Barbara Oakley, PhD, Terrence Sejnowski, PhD, Alistair McConville, 2018-08-07 A surprisingly simple way for students to master any subject--based on one of the world's most popular online courses and the bestselling book A Mind for Numbers A Mind for Numbers and its wildly popular online companion course Learning How to Learn have empowered more than two million learners of all ages from around the world to master subjects that they once struggled with. Fans often wish they'd discovered these learning strategies earlier and ask how they can help their kids master these skills as well. Now in this new book for kids and teens, the authors reveal how to make the most of time spent studying. We all have the tools to learn what might not seem to come naturally to us at first--the secret is to understand how the brain works so we can unlock its power. This book explains: Why sometimes letting your mind wander is an important part of the learning process How to avoid rut think in order to think outside the box Why having a poor memory can be a good thing The value of metaphors in developing understanding A simple, yet powerful, way to stop procrastinating Filled with illustrations, application questions, and exercises, this book makes learning easy and fun. |
| best way to get better at math: How Not to Be Wrong Jordan Ellenberg, 2014-05-29 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. |
| best way to get better at math: A Mind for Numbers Barbara A. Oakley, 2014-07-31 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. |
| best way to get better at math: Think Like A Maths Genius Michael Shermer, Arthur Benjamin, 2011-09-01 Did you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster. |
| best way to get better at math: Algebra I.M. Gelfand, Alexander Shen, 2003-07-09 This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation. |
| best way to get better at math: How to Prove It Daniel J. Velleman, 2006-01-16 Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians. |
| best way to get better at math: All the Mathematics You Missed Thomas A. Garrity, 2004 |
| best way to get better at math: Mathematical Mindsets Jo Boaler, 2015-10-12 Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age. |
| best way to get better at math: The Magic of Math Arthur Benjamin, 2015-09-08 The world's greatest mental mathematical magician takes us on a spellbinding journey through the wonders of numbers (and more) Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance. -- Bill Nye (the science guy) The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the mathemagician, Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike. A positively joyful exploration of mathematics. -- Publishers Weekly, starred review Each [trick] is more dazzling than the last. -- Physics World |
| best way to get better at math: The History of Mathematics: A Very Short Introduction Jacqueline Stedall, 2012-02-23 Mathematics is a fundamental human activity that can be practised and understood in a multitude of ways; indeed, mathematical ideas themselves are far from being fixed, but are adapted and changed by their passage across periods and cultures. In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day. Arranged thematically, to exemplify the varied contexts in which people have learned, used, and handed on mathematics, she also includes illustrative case studies drawn from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable. |
| best way to get better at math: The Joy of X Steven Henry Strogatz, 2012 A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the New York Times. |
| best way to get better at math: How to Think About Analysis Lara Alcock, 2014-09-25 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. |
| best way to get better at math: Calculus on Manifolds Michael Spivak, 1965 This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of advanced calculus in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. |
| best way to get better at math: Maths for Chemistry Paul Monk, Lindsey J. Munro, 2021-08-11 Mathematical skills and concepts lie at the heart of chemistry, yet they are the aspect of the subject that many students fear the most. Maths for Chemistry recognizes the challenges faced by many students in equipping themselves with the maths skills necessary to gain a full understanding of chemistry. Working from foundational principles, the book builds the student's confidence by leading them through the subject in a steady, progressive way from basic algebra to quantum mathematics. Opening with the core mathematics of algebra, logarithms and trigonometry, the book goes on to cover calculus, matrices, vectors, complex numbers, and laboratory mathematics to cover everything that a chemistry student needs. With its modular structure, the book presents material in short, manageable sections to keep the content as accessible and readily digestible as possible. Maths for Chemistry is the perfect introduction to the essential mathematical concepts which all chemistry students should master. |
| best way to get better at math: Grit Angela Duckworth, 2016-05-03 In this instant New York Times bestseller, Angela Duckworth shows anyone striving to succeed that the secret to outstanding achievement is not talent, but a special blend of passion and persistence she calls “grit.” “Inspiration for non-geniuses everywhere” (People). The daughter of a scientist who frequently noted her lack of “genius,” Angela Duckworth is now a celebrated researcher and professor. It was her early eye-opening stints in teaching, business consulting, and neuroscience that led to her hypothesis about what really drives success: not genius, but a unique combination of passion and long-term perseverance. In Grit, she takes us into the field to visit cadets struggling through their first days at West Point, teachers working in some of the toughest schools, and young finalists in the National Spelling Bee. She also mines fascinating insights from history and shows what can be gleaned from modern experiments in peak performance. Finally, she shares what she’s learned from interviewing dozens of high achievers—from JP Morgan CEO Jamie Dimon to New Yorker cartoon editor Bob Mankoff to Seattle Seahawks Coach Pete Carroll. “Duckworth’s ideas about the cultivation of tenacity have clearly changed some lives for the better” (The New York Times Book Review). Among Grit’s most valuable insights: any effort you make ultimately counts twice toward your goal; grit can be learned, regardless of IQ or circumstances; when it comes to child-rearing, neither a warm embrace nor high standards will work by themselves; how to trigger lifelong interest; the magic of the Hard Thing Rule; and so much more. Winningly personal, insightful, and even life-changing, Grit is a book about what goes through your head when you fall down, and how that—not talent or luck—makes all the difference. This is “a fascinating tour of the psychological research on success” (The Wall Street Journal). |
| best way to get better at math: Journey Through Genius William Dunham, 1991-08 Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov |
| best way to get better at math: Math with Bad Drawings Ben Orlin, 2018-09-18 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. |
| best way to get better at math: How To Learn And Memorize Math, Numbers, Equations, And Simple Arithmetic Anthony Metivier, 2014-11-18 If you've ever wanted to improve your ability to learn and memorize mathematical equations, formula, arithmetic and numbers by 100% ... 200% ... 300% (or more) using simple skills you can learn in under an hour (or less), then this may be the most important book you will ever read. How To Learn And Memorize Math With Proven Strategies Guess what? You're wasting time listening to the standard advice about learning math. You can't continue with random acts of learning as you study simple math, calculus and statistics formulas - at least not for long. The truth is that learning math and remembering numbers can be incredibly simple. You just need to know how. In How To Memorize Numbers, Equations And Simple Arithmetic, Anthony Metivier shows you everthing you need to develop the right skills, the right mindset and the right dedicated memorization strategy for memorizing any number or equation. The key to learning and memorizing math is to follow a model. You won't succeed without one. And your best bet is to supplement that math learning model with strong memory skills. Want To Eliminate The Pain and Frustration of Learning Math? Most of the suffering caused by learning math comes from cognitive overload. There is a way to remove this frustration from your life forever. And ... ... If There Is A Quick Fix - This Is It! The information in this book will teach you: * Why memory techniques for math and numbers are like a bicycle everyone can ride (with some minor personal adjustments). * The real reason why no one should ever be squeamish about memorization or learning math. * Sample examples and illustrations that will show you exactly how and why these memory techniques and strategies work. * Unique approaches that will have you literally tuning in on the math concepts and formulas you are studying so that you can memorize and recall them with ease. Learn And Memorize Numbers, Equations And Formulas By The Dozens Memorizing formulas for arithmetic, calculus, physics and statistics is one of the greatest frustrations math learners face. But using the Memory Palace and visualization secrets revealed in this book, you'll learn: 1. How to visualize any number so that it literally pops out in your mind whenever you look for it. 2. How to use actors, other public figures and famous pieces of artwork to help you memorize math concepts, numbers and formulas. 3. Simple strategies for practicing recall so that you are relaxed during exams and can easily recall everything you've studied no matter how difficult. The Best Ways To Learn And Memorize Math What's the secret to success with using this book to memorize all the mathematical formulas, equations and numbers that you need to excel at math? It all starts with having a system for doing the necessary memorization activities. And that's why you need a proven plan for increasing your math knowledge. The good news is it's not hard to improve your approach to learning math. How To Memorize Numbers, Equations And Simple Arithmetic gives you amazing tools designed to speed up the process and get you solid results. Understand how the method taught in this book works and you'll make advanced strides in how you learn math quickly and in ways that are effective, elegant and fun. Would You Like To Know More? Download now and begin improving proving how you learn math TODAY! Scroll to the top of the page and select the buy button. |
| best way to get better at math: How I Wish I'd Taught Maths Craig Barton, 2018 Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom. |
| best way to get better at math: Deep Learning for Coders with fastai and PyTorch Jeremy Howard, Sylvain Gugger, 2020-06-29 Deep learning is often viewed as the exclusive domain of math PhDs and big tech companies. But as this hands-on guide demonstrates, programmers comfortable with Python can achieve impressive results in deep learning with little math background, small amounts of data, and minimal code. How? With fastai, the first library to provide a consistent interface to the most frequently used deep learning applications. Authors Jeremy Howard and Sylvain Gugger, the creators of fastai, show you how to train a model on a wide range of tasks using fastai and PyTorch. You’ll also dive progressively further into deep learning theory to gain a complete understanding of the algorithms behind the scenes. Train models in computer vision, natural language processing, tabular data, and collaborative filtering Learn the latest deep learning techniques that matter most in practice Improve accuracy, speed, and reliability by understanding how deep learning models work Discover how to turn your models into web applications Implement deep learning algorithms from scratch Consider the ethical implications of your work Gain insight from the foreword by PyTorch cofounder, Soumith Chintala |
| best way to get better at math: I'm Just Bad at Math! Allison Gray, 2020-05-11 Lucy thinks her brain is broken because she's always been bad at math. And when her teacher gives the class a dreaded timed math test, her brain freezes up! Can a promise and a scruffy chihuahua named Nacho help Lucy change her mindset? This story helps children realize that people aren't good or bad at math, and it helps them learn to change their mindset by viewing things from a new perspective. |
| best way to get better at math: Improving Teaching and Learning in Science and Mathematics David F. Treagust, 1996 Contains nineteen essays in which the authors discuss issues related to teaching and learning in science and mathematics, discussing the need to determine student understanding, ways to improve curriculum and teaching, and methods of implementing teacher change. |
| best way to get better at math: Now Johnny Can Do Arithmetic Caleb Gattegno, 2010-08-17 Why do some children struggle with mathematics, while others seem to be naturally gifted? In this book, Caleb Gattegno examines the obstacles that keep students from succeeding in math, and provides a clear solution. Using Algebricks colored rods, parents and teachers can make arithmetic visible, tangible, and rewarding for their learners. Through exploring and playing with the materials, children absorb essential mathematical knowledge, while parents and teachers discover the astounding learning capacity and inventiveness of their children. |
| best way to get better at math: Teaching Numeracy Margie Pearse, K. M. Walton, 2011-03-23 Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts. |
| best way to get better at math: The Math Myth Andrew Hacker, 2010-05-25 A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review |
| best way to get better at math: Number Talks Sherry Parrish, 2010 A multimedia professional learning resource--Cover. |
| best way to get better at math: Short Calculus Serge Lang, 2012-12-06 From the reviews This is a reprint of the original edition of Lang’s ‘A First Course in Calculus’, which was first published in 1964....The treatment is ‘as rigorous as any mathematician would wish it’....[The exercises] are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging....There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able. --Mathematical Gazette |
| best way to get better at math: Calculation Without Tears S. Bhushan, B.S. Gupta, 2009-01-01 Calculation Without Tears by S. Bhushan/ B.S. Gupta: Calculation Without Tears: Simplifying Mathematical Concepts is a comprehensive guide by S. Bhushan and B.S. Gupta that aims to demystify mathematics and make complex calculations accessible to learners of all levels. This book provides practical techniques, tips, and strategies to build confidence in mathematical problem-solving and foster a deeper understanding of mathematical concepts. Key Aspects of the Book Calculation Without Tears: Simplifying Mathematical Concepts: Simplified Approach: The book presents a simplified approach to mathematical calculations, breaking down complex concepts into manageable steps. It offers techniques and shortcuts to enhance computational skills and promote a deeper understanding of mathematical principles. Practical Examples: Calculation Without Tears provides numerous practical examples and real-world applications of mathematical concepts. It bridges the gap between theoretical knowledge and practical problem-solving, enabling readers to apply mathematical principles in various contexts. Building Confidence: The book aims to build confidence in learners by offering clear explanations, practice exercises, and problem-solving strategies. It empowers readers to overcome math anxiety, develop a positive mindset towards mathematics, and approach calculations with ease. Bhushan and B.S. Gupta, esteemed authors and experienced educators, collaborate in Calculation Without Tears: Simplifying Mathematical Concepts to make mathematics more accessible and enjoyable for learners. With their combined expertise in mathematics education, they provide practical guidance and techniques to simplify complex calculations. Bhushan and Gupta aim to empower learners of all ages and levels to overcome mathematical challenges and develop a solid foundation in mathematical problem-solving. Calculation Without Tears serves as a valuable resource for students, teachers, and anyone seeking to enhance their mathematical skills with confidence and ease. |
| best way to get better at math: Mathematical Methods in the Physical Sciences Mary L. Boas, 2006 Market_Desc: · Physicists and Engineers· Students in Physics and Engineering Special Features: · Covers everything from Linear Algebra, Calculus, Analysis, Probability and Statistics, to ODE, PDE, Transforms and more· Emphasizes intuition and computational abilities· Expands the material on DE and multiple integrals· Focuses on the applied side, exploring material that is relevant to physics and engineering· Explains each concept in clear, easy-to-understand steps About The Book: The book provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book helps readers gain a solid foundation in the many areas of mathematical methods in order to achieve a basic competence in advanced physics, chemistry, and engineering. |
| best way to get better at math: Mathematics for Machine Learning Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, 2020-04-23 The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site. |
| best way to get better at math: The Great Mental Models, Volume 1 Shane Parrish, Rhiannon Beaubien, 2024-10-15 Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage. |
| best way to get better at math: Atomic Habits Summary (by James Clear) James Clear, SUMMARY: ATOMIC HABITS: An Easy & Proven Way to Build Good Habits & Break Bad Ones. This book is not meant to replace the original book but to serve as a companion to it. ABOUT ORIGINAL BOOK: Atomic Habits can help you improve every day, no matter what your goals are. As one of the world's leading experts on habit formation, James Clear reveals practical strategies that will help you form good habits, break bad ones, and master tiny behaviors that lead to big changes. If you're having trouble changing your habits, the problem isn't you. Instead, the issue is with your system. There is a reason bad habits repeat themselves over and over again, it's not that you are not willing to change, but that you have the wrong system for changing. “You do not rise to the level of your goals. You fall to the level of your systems” - James Clear I’m a huge fan of this book, and as soon as I read it I knew it was going to make a big difference in my life, so I couldn’t wait to make a video on this book and share my ideas. Here is a link to James Clear’s website, where I found he uploads a tonne of useful posts on motivation, habit formation and human psychology. DISCLAIMER: This is an UNOFFICIAL summary and not the original book. It designed to record all the key points of the original book. |
| best way to get better at math: Interest in Mathematics and Science Learning Ann Renninger, Martina Nieswandt, Suzanne Hidi, 2015-04-19 Interest in Mathematics and Science Learning, edited by K. Ann Renninger, Martin Nieswandt, and Suzanne Hidi, is the first volume to assemble findings on the role of interest in mathematics and science learning. As the contributors illuminate across the volume's 22 chapters, interest provides a critical bridge between cognition and affect in learning and development. This volume will be useful to educators, researchers, and policy makers, especially those whose focus is mathematics, science, and technology education. |
| best way to get better at math: Becoming the Math Teacher You Wish You'd Had Tracy Johnston Zager, 2023-10-10 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. |
| best way to get better at math: The Lazy Genius Way Kendra Adachi, 2020 Be productive without sacrificing peace of mind using Lazy Genius principles that help you focus on what really matters and let go of what doesn't. If you need a comprehensive strategy for a meaningful life but are tired of reading stacks of self-help books, here is an easy way that actually works. No more cobbling together life hacks and productivity strategies from dozens of authors and still feeling tired. The struggle is real, but it doesn't have to be in charge. With wisdom and wit, the host of The Lazy Genius Podcast, Kendra Adachi, shows you that it's not about doing more or doing less; it's about doing what matters to you. In this book, she offers fourteen principles that are both practical and purposeful, like a Swiss army knife for how to be a person. Use them in combination to lazy genius anything, from laundry and meal plans to making friends and napping without guilt. It's possible to be soulful and efficient at the same time, and this book is the blueprint. The Lazy Genius Way isn't a new list of things to do; it's a new way to see. Skip the rules about getting up at 5 a.m. and drinking more water. Let's just figure out how to be a good person who can get stuff done without turning into The Hulk. These Lazy Genius principles--such as Decide Once, Start Small, Ask the Magic Question, and more--offer a better way to approach your time, relationships, and piles of mail, no matter your personality or life stage. Be who you already are, just with a better set of tools. |
| best way to get better at math: Mathematics for Elementary Teachers Sybilla Beckmann, 2009-07-01 This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text. |
| best way to get better at math: Introduction to Mathematical Thinking Keith J. Devlin, 2012 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. |
| best way to get better at math: Physics for Mathematicians Michael Spivak, 2010 |
| best way to get better at math: Discrete Mathematics and Its Applications Kenneth H. Rosen, 2018-05 A precise, relevant, comprehensive approach to mathematical concepts... |
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