exploring the math and art connection teaching and learning between the lines

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Exploring The Math And Art Connection

Author : Daniel Jarvis
ISBN : 9781550593983
Genre : Education
File Size : 52. 40 MB
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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.

From Music To Mathematics

Author :
ISBN : 9781421419190
Genre : Mathematics
File Size : 53. 18 MB
Format : PDF
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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.

Matharts

Author : MaryAnn F. Kohl
ISBN : 0876591772
Genre : Education
File Size : 89. 54 MB
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An easy way to teach math to young children using art.

Math Art Fun

Author : Robin Ward
ISBN : 1933979895
Genre : Art
File Size : 42. 7 MB
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Provides activities that introduce modern art and an understanding of math concepts.

Learning And Teaching Early Math

Author : Douglas H. Clements
ISBN : 9781134080717
Genre : Education
File Size : 68. 5 MB
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In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • A companion website featuring student support materials such as a glossary of technical terms and pedagogical activities. • Incorporation of hundreds of recent research studies.

Philosophy Between The Lines

Author : Arthur M. Melzer
ISBN : 9780226175096
Genre : Philosophy
File Size : 68. 30 MB
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"Philosophical esotericism--the practice of communicating one's unorthodox thoughts 'between the lines'--was a common practice until the end of the eighteenth century. The famous Encyclopédie of Diderot, for instance, not only discusses this practice in over twenty different articles, but admits to employing it itself. The history of Western thought contains hundreds of such statements by major philosophers testifying to the use of esoteric writing in their own work or others'. Despite this long and well-documented history, however, esotericism is often dismissed today as a rare occurrence. But by ignoring esotericism, we risk cutting ourselves off from a full understanding of Western philosophical thought... Philosophy Between the Lines is the first comprehensive, book-length study of the history and theoretical basis of philosophical esotericism, and it provides a crucial guide to how many major writings--philosophical, but also theological, political, and literary--were composed prior to the nineteenth century."--Publisher's Web site.

Exploring Mathematics Through Literature

Author : Diane Thiessen
ISBN : 0873535537
Genre : Education
File Size : 22. 83 MB
Format : PDF
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Discusses how childrens books can be used to teach math lessons.

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