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 : 37. 77 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.

Matharts

Author : MaryAnn F. Kohl
ISBN : 0876591772
Genre : Education
File Size : 87. 86 MB
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An easy way to teach math to young children using art.

How People Learn

Author : National Research Council
ISBN : 9780309131971
Genre : Education
File Size : 78. 55 MB
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First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methods--to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.

From Music To Mathematics

Author : Gareth E. Roberts
ISBN : 9781421419183
Genre : Mathematics
File Size : 68. 37 MB
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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.

Exploring Mathematics Through Play In The Early Childhood Classroom

Author : Amy Noelle Parks
ISBN : 9780807773475
Genre : Education
File Size : 54. 29 MB
Format : PDF
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This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed throughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking—such as perseverance and attention to precision. This book will help put play back into the early childhood classroom where it belongs. Book Features: Makes explicit connections to play and the Common Core State Standards in Mathematics. Offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play. Provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress. Includes highlight boxes with recommended resources, questions for reflection, key research findings, vocabulary, lesson plan templates, and more. “This is one of those books that I wish I had written. It is smart, readable, relevant, and authentically focused on children.” —From the Foreword by Elizabeth Graue, Sorenson Professor of Early Childhood Education, University of Wisconsin “In this deceptively easy-to-read book, Amy Parks explains two things that could make a world of difference in early childhood and elementary classrooms: Mathematics isn’t something in a workbook—it’s a fascinating part of the real world; And playing in school isn’t a luxury—it’s an essential context for learning about all sorts of things, including mathematics. Through vignettes of children learning mathematics as they play, Parks helps teachers recognize their ‘answerability to the moment,’ eschewing someone else’s determination of ‘best practice’ in favor of what works with actual children eager to learn mathematics.” —Rebecca New, School of Education, University of North Carolina at Chapel Hill

Arts And Learning

Author : Merryl Ruth Goldberg
ISBN : 0801316073
Genre : Arts
File Size : 52. 12 MB
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This innovative book focuses on learning through as well as learning about the arts. It explores numerous ways in which the arts-visual, literary, and performing-can be integrated across the K-8 curriculum via national and state standards in arts education. The third edition of Integrating the Arts: An Approach to Teaching and Learning in Multicultural and Multilingual Setting reflects contemporary theory and practice and promotes ideas and skills that tap children's propensity for creativity and critical thinking. Merryl Goldberg provides numerous strategies and examples of learning through classroom activities such as music, dance, and poetry.

Mathematics And Art

Author : Lynn Gamwell
ISBN : 9780691165288
Genre : Art
File Size : 72. 21 MB
Format : PDF, Kindle
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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.

Experiencing Mathematics

Author : R. James Breunlin
ISBN : STANFORD:36105131638855
Genre : Education
File Size : 74. 72 MB
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This edition provides student activities grouped in algebra, geometry and algebra 2 sections that parallel the traditional sequencing in major texts. Through activity design, students are lead through an inductive inquiry in which they conjecture, formulate and test ideas/concepts. This inductive student-centered approach to learning will not only excite students, but increase student effort.

Math Art Fun

Author : Robin Ward
ISBN : 1933979895
Genre : Art
File Size : 67. 63 MB
Format : PDF, ePub
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Provides activities that introduce modern art and an understanding of math concepts.

The Software Encyclopedia

Author :
ISBN : STANFORD:36105026453774
Genre : Computer industry
File Size : 59. 67 MB
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