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

Download Book Exploring The Math And Art Connection Teaching And Learning Between The Lines in PDF format. You can Read Online Exploring The Math And Art Connection Teaching And Learning Between The Lines here in PDF, EPUB, Mobi or Docx formats.

Exploring The Math And Art Connection

Author : Daniel Jarvis
ISBN : 9781550593983
Genre : Education
File Size : 71. 53 MB
Format : PDF, ePub, Docs
Download : 829
Read : 697

Download Now


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 : 39. 20 MB
Format : PDF
Download : 847
Read : 1250

Download Now


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 : 54. 41 MB
Format : PDF, ePub, Mobi
Download : 881
Read : 1131

Download Now


An easy way to teach math to young children using art.

Philosophy Between The Lines

Author : Arthur M. Melzer
ISBN : 9780226175096
Genre : Philosophy
File Size : 51. 94 MB
Format : PDF, Kindle
Download : 197
Read : 573

Download Now


"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.

Essential Questions

Author : Jay McTighe
ISBN : 9781416615705
Genre : Education
File Size : 70. 39 MB
Format : PDF, ePub, Docs
Download : 993
Read : 940

Download Now


What are "essential questions," and how do they differ from other kinds of questions? What's so great about them? Why should you design and use essential questions in your classroom? Essential questions (EQs) help target standards as you organize curriculum content into coherent units that yield focused and thoughtful learning. In the classroom, EQs are used to stimulate students' discussions and promote a deeper understanding of the content. Whether you are an Understanding by Design (UbD) devotee or are searching for ways to address standards--local or Common Core State Standards--in an engaging way, Jay McTighe and Grant Wiggins provide practical guidance on how to design, initiate, and embed inquiry-based teaching and learning in your classroom. Offering dozens of examples, the authors explore the usefulness of EQs in all K-12 content areas, including skill-based areas such as math, PE, language instruction, and arts education. As an important element of their backward design approach to designing curriculum, instruction, and assessment, the authors *Give a comprehensive explanation of why EQs are so important; *Explore seven defining characteristics of EQs; *Distinguish between topical and overarching questions and their uses; *Outline the rationale for using EQs as the focal point in creating units of study; and *Show how to create effective EQs, working from sources including standards, desired understandings, and student misconceptions. Using essential questions can be challenging--for both teachers and students--and this book provides guidance through practical and proven processes, as well as suggested "response strategies" to encourage student engagement. Finally, you will learn how to create a culture of inquiry so that all members of the educational community--students, teachers, and administrators--benefit from the increased rigor and deepened understanding that emerge when essential questions become a guiding force for learners of all ages.

How Children Learn

Author : John Holt
ISBN : 9780786746903
Genre : Psychology
File Size : 57. 82 MB
Format : PDF, ePub
Download : 312
Read : 567

Download Now


This enduring classic of educational thought offers teachers and parents deep, original insight into the nature of early learning. John Holt was the first to make clear that, for small children, “learning is as natural as breathing.” In this delightful yet profound book, he looks at how we learn to talk, to read, to count, and to reason, and how we can nurture and encourage these natural abilities in our children.”

Science Arts

Author : MaryAnn F. Kohl
ISBN : 9780935607239
Genre : Juvenile Nonfiction
File Size : 83. 8 MB
Format : PDF, ePub
Download : 946
Read : 1067

Download Now


"ScienceArts" builds upon natural curiosity as children experience and explore basic science concepts as they create over 200 beautiful and amazing art experiments. Projects use common household materials and art supplies. The art activities are open-ended and easy to do with one science-art experiment per page, fully illustrated and kid-tested. The book inclues three indexes and an innovative charted Table of Contents. Suitable for home, school, museum programs, or childcare, all ages. Kids call this the "ooo-ahhh" book. Examples of projects include: - Crystal Bubbles - Dancing Rabbits - Building Beans - Magnetic Rubbing - Stencil Leaves - Magic Cabbage - Marble Sculpture - Immiscibles - Paint Pendulum - Ice Structures - Bottle Optics - Erupting Colors - Chromatography 1993 Benjamin Franklin Gold Award, Education/Teaching/Academic 1993 Benjamin Franklin Silver Award, Interior Design 1993 Benjamin Franklin Silver Award, Book Cover 1993 Washington Press Communicator Award, First Place Winner, Non-Fiction Book

Top Download:

Best Books