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Author: Daniel Jarvis
Publisher: Brush Education
ISBN: 1550593986
Category : Art
Languages : en
Pages : 338
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Book Description
Daniel Jarvis and Irene Naested highlight the natural association between math and art in a series of practical ideas for the classroom, because when students understand the math/art connection, their understanding and confidence increase in both subjects. Through innovative teaching strategies and more than 100 rich learning experiences, Jarvis and Naested give teachers a wealth of engaging tools to explore the math/art connection with their own students. This connection is established through examinations of natural and human-designed objects, from how pine cone scales spiral out in a Fibonacci sequence to how geometric shapes combine in architecture to form some of the most beautiful structures on the planet.
Author: Daniel Jarvis
Publisher: Brush Education
ISBN: 1550593986
Category : Art
Languages : en
Pages : 338
Get Book Here
Book Description
Daniel Jarvis and Irene Naested highlight the natural association between math and art in a series of practical ideas for the classroom, because when students understand the math/art connection, their understanding and confidence increase in both subjects. Through innovative teaching strategies and more than 100 rich learning experiences, Jarvis and Naested give teachers a wealth of engaging tools to explore the math/art connection with their own students. This connection is established through examinations of natural and human-designed objects, from how pine cone scales spiral out in a Fibonacci sequence to how geometric shapes combine in architecture to form some of the most beautiful structures on the planet.
Author: Lynn Gamwell
Publisher: Princeton University Press
ISBN: 0691165289
Category : Art
Languages : en
Pages : 576
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Book Description
This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Author: MaryAnn F Kohl
Publisher: Chicago Review Press
ISBN: 1641600276
Category : Education
Languages : en
Pages : 773
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Book Description
Get ready to create and count in this exciting introduction to math! MathArts is an innovative approach that uses creative art projects to introduce preschoolers to early math concepts. Each of the more than 100 hands-on projects is designed to help children discover essential math skills through a creative process unique to every individual. Math concepts include one-to-one correspondence, matching, sorting, grouping, classifying, opposites, number recognition, number values, and counting. This well-organized book provides both teachers and parents with a diverse range of activities for making math both fun and fascinating. The possibilities are endless!
Author: Stephen Ornes
Publisher: Sterling New York
ISBN: 9781454930440
Category : MATHEMATICS
Languages : en
Pages : 0
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Book Description
The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art.
Author: Robin Ward
Publisher: Bright Sky Publishing
ISBN: 9781933979892
Category : Art in mathematics education
Languages : en
Pages : 0
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Book Description
Math Goggles is a collection of field-tested activities for children that integrate mathematics into the world of the visual arts. Serving as the focal point for each mathematics activity is the work of a famous modern artist"Jackson Pollock, Andy Warhol, Georgie O'Keefe, and many more. After learning brief biographical and anecdotal information about the artist, the reader engages in an exploration of the mathematics embedded in the artwork by creating the featured piece of artwork in the spirit of the artist. Step-by-step instructions accompanied by color images of the artistic masterpieces as well as actual student work aid the reader in visualizing and understanding how to create the art in each activity. As the reader creates each masterpiece, mimicking the great masters, they simultaneously hone their estimation, counting, measurement, and number-sense skills while noticing, creating, and describing shapes and patterns and experimenting with symmetry and probability.
Author: Claude P. Bruter
Publisher: Springer Science & Business Media
ISBN: 3662049090
Category : Mathematics
Languages : en
Pages : 337
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Book Description
Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.
Author: Sasho Kalajdzievski
Publisher: CRC Press
ISBN: 1584889144
Category : Mathematics
Languages : en
Pages : 282
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Book Description
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: Malke Rosenfeld
Publisher: Heinemann Educational Books
ISBN: 9780325074702
Category : Education
Languages : en
Pages : 0
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Book Description
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Author: Jordan Ellenberg
Publisher: Penguin Press
ISBN: 1594205221
Category : Mathematics
Languages : en
Pages : 480
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Book Description
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.
Author: Gareth E. Roberts
Publisher: JHU Press
ISBN: 1421419181
Category : Mathematics
Languages : en
Pages : 320
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Book Description
A guided tour of the mathematical principles inherent in music. Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics. Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational. Topics discussed in the book include • Rhythm • Introductory music theory • The science of sound • Tuning and temperament • Symmetry in music • The Bartók controversy • Change ringing • Twelve-tone music • Mathematical modern music • The Hemachandra–Fibonacci numbers and the golden ratio • Magic squares • Phase shifting Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.
