Math Made Visual
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Author |
: Claudi Alsina |
Publisher |
: MAA |
Total Pages |
: 202 |
Release |
: 2006-07-06 |
ISBN-10 |
: 0883857464 |
ISBN-13 |
: 9780883857465 |
Rating |
: 4/5 (64 Downloads) |
Synopsis Math Made Visual by : Claudi Alsina
The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.
Author |
: DK |
Publisher |
: National Geographic Books |
Total Pages |
: 0 |
Release |
: 2014-06-16 |
ISBN-10 |
: 9781465420176 |
ISBN-13 |
: 1465420177 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Amazing Visual Math by : DK
Covering the essential math concepts learned in the first years of school, Amazing Visual Math brings a whole new dimension to learning. Amazing Visual Math is an interactive hands-on experience that makes math fun. Key curriculum subjects including shapes, patterns, telling time, lines of symmetry, addition, subtraction, measurement and more are explained through over 50 interactive elements throughout the book including pop-ups, flaps, and pull the tab elements, making an otherwise tedious subject entertaining. Ideal for developing manual dexterity skills and sharpening visual learning skills, Amazing Visual Math is a hands-on experience kids won't want to put down. Supports the Common Core State Standards.
Author |
: DK |
Publisher |
: Penguin |
Total Pages |
: 128 |
Release |
: 2018-08-07 |
ISBN-10 |
: 9781465482280 |
ISBN-13 |
: 1465482288 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Visual Guide to Math by : DK
Key math vocabulary and concepts for young children explained simply in this friendly and informative reference book. Clear, accessible pictures and diagrams support this first introduction to numbers, calculating, measuring, geometry, and data-collecting, making basic maths skills easier to understand. Packed with key terms and useful tips to help remember as well as practical examples of math in daily life, Visual Guide to Math is ideal even for reluctant kids. Place value, number bonds, multiplication tables, and fractions are just a few of the math concepts explained and reinforced in a variety of ways for children with different learning styles. Covering everything a young child needs to know, this unique reference book follows the curriculum and provides a strong foundation for math skills through the rest of the school years. A perfect homework help to support children as they take their first steps in math and build confidence.
Author |
: Tristan Needham |
Publisher |
: Oxford University Press |
Total Pages |
: 620 |
Release |
: 1997 |
ISBN-10 |
: 0198534469 |
ISBN-13 |
: 9780198534464 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Visual Complex Analysis by : Tristan Needham
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Author |
: John Hattie |
Publisher |
: Corwin Press |
Total Pages |
: 209 |
Release |
: 2016-09-15 |
ISBN-10 |
: 9781506362953 |
ISBN-13 |
: 1506362958 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
Author |
: Sasho Kalajdzievski |
Publisher |
: CRC Press |
Total Pages |
: 282 |
Release |
: 2011-04-28 |
ISBN-10 |
: 9781584889144 |
ISBN-13 |
: 1584889144 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Math and Art by : Sasho Kalajdzievski
Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With downloadable resources and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.
Author |
: Anthony Ashton |
Publisher |
: Bloomsbury Publishing USA |
Total Pages |
: 68 |
Release |
: 2003-04-01 |
ISBN-10 |
: 9780802714091 |
ISBN-13 |
: 0802714099 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Harmonograph by : Anthony Ashton
Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.
Author |
: Nathan Carter |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 295 |
Release |
: 2021-06-08 |
ISBN-10 |
: 9781470464332 |
ISBN-13 |
: 1470464330 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Visual Group Theory by : Nathan Carter
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
Author |
: Roger B. Nelsen |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 187 |
Release |
: 2015-12-31 |
ISBN-10 |
: 9780883857908 |
ISBN-13 |
: 0883857901 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Proofs Without Words III by : Roger B. Nelsen
Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs.
Author |
: Jo Boaler |
Publisher |
: John Wiley & Sons |
Total Pages |
: 288 |
Release |
: 2017-08-28 |
ISBN-10 |
: 9781119358800 |
ISBN-13 |
: 1119358809 |
Rating |
: 4/5 (00 Downloads) |
Synopsis Mindset Mathematics by : Jo Boaler
Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.