Mathematics, Symmetry, and Square Dancing PDF Download
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Author: Dana Lacey
Publisher:
ISBN:
Category : Square dancing
Languages : en
Pages : 47
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Book Description
Patterns of symmetry can be found everywhere, in nature and in design. Square dancing is an example of something created to be symmetric: in square dancing we have eight dancers divided into four couples who start positioned on the edges of a square. Throughout the dance, every individual has a corresponding opposite, whose position is rotationally symmetric in relation to the centermost point in the square. This occurs because square dancing calls are transformations that maintain symmetries. We can use mathematics to classify and analyze those symmetries as rotations or reflections. We can also use mathematics to measure how symmetric and asymmetric an object is. This research classifies the different asymmetries that can occur in square dancing as well as examines how inherently symmetric movement can resolve asymmetric formations in square dancing.
Author: Dana Lacey
Publisher:
ISBN:
Category : Square dancing
Languages : en
Pages : 47
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Book Description
Patterns of symmetry can be found everywhere, in nature and in design. Square dancing is an example of something created to be symmetric: in square dancing we have eight dancers divided into four couples who start positioned on the edges of a square. Throughout the dance, every individual has a corresponding opposite, whose position is rotationally symmetric in relation to the centermost point in the square. This occurs because square dancing calls are transformations that maintain symmetries. We can use mathematics to classify and analyze those symmetries as rotations or reflections. We can also use mathematics to measure how symmetric and asymmetric an object is. This research classifies the different asymmetries that can occur in square dancing as well as examines how inherently symmetric movement can resolve asymmetric formations in square dancing.
Author: Christina Lorenzo
Publisher:
ISBN:
Category : Square dancing
Languages : en
Pages : 96
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Book Description
"We will explore many ways of viewing square dancing through various mathematical lenses. Following directions from a caller, eight square dancers work together to rearrange themselves in various geometric patterns before returning to their original positions. Each square dance call produces a permutation of the dancers. We will analyze these permutations using concepts of group theory, such as the order of a call. Geometry also plays a role as the execution of a square dance call preserves symmetry and involves varying amounts of angular rotation. Recently, square dancing has been taken to new mathematical levels as callers introduce more complex ways to vary traditional calls including ways to reconfigure standard formations making it possible for six couples to dance four-couple choreography, often called hexagon dancing. We will investigate how changing the rules of square dancing affects the algebra and geometry of the dance"--Abstract.
Author: Christopher J. Budd
Publisher: Oxford University Press
ISBN: 9780198507703
Category : Education
Languages : en
Pages : 270
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Book Description
Provides materials for eight Saturday workshops to excite teenagers about the possibilities and fun of mathematics. Each chapter begins with detailed historical and mathematical information on the subject for delivering a talk, then lists exercises for small group work. Topics include network theory for mazes, trigonometry for sundials, the design of castles, and code breaking. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Kelly Mancini Becker
Publisher: Taylor & Francis
ISBN: 1000890147
Category : Education
Languages : en
Pages : 190
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Book Description
This book offers a creative and practical guide for K-6 teachers on how to effectively integrate movement into the curriculum to increase student engagement, deepen learning, improve retention, and get kids moving during the school day. Chapters offer concrete ideas for integrating creative movement and theater into subjects such as math, science, literacy, and social studies. Drawing on two decades of experience, Dr. Becker outlines key skills, offers rich examples, and provides adaptable and flexible classroom tested lesson plans that align with Common Core Standards, the NGSS, C3 Social Studies Standards, and the National Core Arts Standards. Activities are grounded in arts integration, which is steadily gaining interest in school reform as an effective teaching strategy that increases student outcomes academically and socially—particularly effective for students who have traditionally been marginalized. This book will benefit practicing educators who want to invigorate their practice, preservice teachers who want to expand their toolkit, and school leaders looking to employ policies that support movement and arts during the school day. Jump in and get your kids Learning Through Movement and see how active and engaging learning can be!
Author: John W. Jones
Publisher: Squaredance Fundamentals
ISBN: 9781419659812
Category : Health & Fitness
Languages : en
Pages : 214
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Book Description
While there have been countless fun books written on square dancing, Squaredance Fundamentals was the first to cut to the chase. There is no interesting history of square dancing, there are no entertaining anecdotes, just the nuts and bolts of how to square dance. The author worked painstakingly with the graphic artist to execute a feat never achieved before in a square dance manual. Revolutionary illustrations show the dancer's point of view, not just the spectators' viewpoint. Dancers can, without turning on their heads, glean from the detailed illustrations exactly what they need to be doing with their hands, feet, etc. Each dancer can effortlessly grasp the material and easily retain it. Renown master caller/teacher, Marshall Flippo, assiduously assisted the author in establishing the very first guidelines for standardized "Basic Maneuvers" which would enable square dancers to dance gracefully with any group, anywhere. This was a true innovation in square dancing not yet available in the late 1960's. Marshall also painstakingly edited this first-of-its-kind book, twice! - to be sure it met the highest standards of accuracy and ease of understanding for square dancing neophytes. One of the greatest merits of this book is its logical continuity, which can be a tremendous aid to both the caller/teacher and the student, regardless of how it is used. New dancers, taking lessons, can go home and review what they have learned in class and prepare for the next, significantly shortening the learning curve. Although a few changes in the names of the calls have been made through the years, it is a simple task to merely write in the current name for the square dance call according to your instructor. But no one shows you better how to execute the maneuvers than John W. Jones with his super simplified instructions and state-of-the-art illustrations in Squaredance Fundamentals - the gold standard for over 37 years.
Author: Sue Fox
Publisher: Bloomsbury Publishing
ISBN: 1441198156
Category : Education
Languages : en
Pages : 200
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Book Description
Mathematics is a core subject and using and applying mathematics in problem solving activities is crucial in enabling children to use their knowledge and skills in a range of situations. Mathematics Across the Curriculum shows how to teach mathematical concepts through different subjects and discussing the reasoning and research behind using problem solving and investigation teaching techniques. Best practice for planning and assessment, classroom organisation and practice, and use of resources are all discussed, with clear links to recent research and government standards and initiatives. Case studies from practicing teachers enable readers to easily relate the theoretical information to their classroom and teaching. Mathematics Across the Curriculum is essential reading for all trainee and newly qualified teachers seeking to teach engaging, inspiring and challenging mathematics lessons. It will also be a useful resource for established teachers embarking on their Masters in Teaching and Learning (MTL).
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:
Publisher:
ISBN:
Category : Laboratories
Languages : en
Pages : 218
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Book Description
Author: Thomas Canavan
Publisher: Arcturus Publishing
ISBN: 183857929X
Category : Juvenile Nonfiction
Languages : en
Pages : 227
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Book Description
Did you know that in a room of 23 people, it's more likely than not that two people share a birthday? And that everything from rock music to code-breaking is based on maths? This book is packed full of 101 eye-opening and extraordinary maths-based facts that kids will love to discover and share. Each fact hooks readers into a discussion of some of the most fascinating areas of mathematics. Perfect for children aged 8+.
Author: Ian Stewart
Publisher: OUP Oxford
ISBN: 0191652741
Category : Mathematics
Languages : en
Pages : 161
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Book Description
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
