Number Shape Symmetry
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Number Shape Symmetry
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Author : Diane L. Herrmann
language : en
Publisher: CRC Press
Release Date : 2012-10-18
Number Shape Symmetry written by Diane L. Herrmann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Mathematics categories.
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors' successful work with undergraduate students at the University of Chicago, seventh
Number Shape Symmetry
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Author : Diane L. Herrmann
language : en
Publisher: CRC Press
Release Date : 2012-10-18
Number Shape Symmetry written by Diane L. Herrmann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Mathematics categories.
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
Patterns Numbers Shapes And Connections
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-12
Patterns Numbers Shapes And Connections written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-12 with Mathematics categories.
Embark on an enthralling journey into the captivating world of patterns, numbers, shapes, and connections with this comprehensive guide. Within these pages, you'll discover a treasure trove of knowledge that will ignite your curiosity, expand your understanding, and leave you in awe of the interconnectedness and beauty of the universe. Explore the fascinating realm of prime numbers, where infinite possibilities unfold. Unravel the mysteries of infinity, a concept that has captivated mathematicians and philosophers for centuries. Delve into the enigmatic world of fractals, where intricate patterns emerge from simple rules. Uncover the secrets of logical reasoning, the foundation of critical thinking and problem-solving. Witness the power of algorithms, the driving force behind technological advancements. Decipher the intricacies of counting and probability, essential tools for understanding the world around us. Venture into the realm of graphs, where intricate networks reveal hidden patterns and connections. Unlock the puzzles of discrete optimization, where mathematical techniques empower us to find optimal solutions to real-world problems. Through engaging explanations, captivating examples, and thought-provoking exercises, this book brings abstract concepts to life. It's an indispensable resource for students, educators, and anyone seeking to deepen their understanding of the fundamental principles that govern our universe. Immerse yourself in the beauty and elegance of patterns, numbers, shapes, and connections. Discover how these concepts have shaped our understanding of the universe, fueled technological advancements, and transformed our lives. Prepare to be amazed by the wonders that await within these pages. If you like this book, write a review!
Shapes Space And Symmetry
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Author : Alan Holden
language : en
Publisher:
Release Date : 2013-12-10
Shapes Space And Symmetry written by Alan Holden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-10 with categories.
Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
Measures Shape And Space
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Author : David Clemson
language : en
Publisher: Nelson Thornes
Release Date : 2002
Measures Shape And Space written by David Clemson and has been published by Nelson Thornes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Education categories.
Maths Action Plans is a series of four books for Years 4-6/P5-7, offering flexible, supportive teacher and pupil resources and coherent coverage of the five strands of the Framework for Teaching Mathematics. The series provides inspiring, flexible activities that can be fitted into any maths scheme. Each title contains: clear learning objectives, linked to the Framework for Teaching Maths, the National Curriculum Programme of Study and the 5-14 National Guidelines for Mathematics; lesson plans with up to three levels of differentiation; supplementary activities for consolidation or linked work; and suggestions for the application of ICT skills.
Combinatorics Automata And Number Theory
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Author : Valérie Berthé
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-12
Combinatorics Automata And Number Theory written by Valérie Berthé and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Mathematics categories.
This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and its Applications cover their subjects comprehensively. Less important results may be summarised as exercises at the ends of chapters, For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes are encyclopedic references or manageable guides to major subjects.
Seeking Symmetry
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Author : Niall Galloway
language : en
Publisher: Jessica Kingsley Publishers
Release Date : 2018-09-01
Seeking Symmetry written by Niall Galloway and has been published by Jessica Kingsley Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-01 with Health & Fitness categories.
Seeking Symmetry: Finding patterns in human health offers a guide through the overwhelming mass of data generated by contemporary science. Starved for the knowledge that would best help us stay healthy, we are simultaneously glutted with an overload of information about the human body. Amidst ubiquitous talk that patient-centred care and lifestyle changes are the keys to personal health, self-neglect and medical overtreatment nevertheless prevail. The body is rich with symmetries, many of them unknown to us who live in these bodies. Symmetry-seeking reveals certain patterns for understanding the information we have about the body, patterns whose roots lie in embryonic development and in evolution. The book's exploration will guide readers through the parts of their own bodies and introduce tangible, visible examples of symmetry, not only right and left but up and down, male and female, inside and out, as well as symmetries between humans and other species.It presents the symmetries of the body's internal structures that, despite their complexity, are nevertheless simple to understand when viewed with an eye for pattern.Through both words and images, this book will illustrate the most foundational of the principles, structures, and processes that decide how bodies function.A core purpose of the book is to present this knowledge through a lens that makes the information meaningful, by modelling the habit of symmetry-seeking.
Cambridge Primary Mathematics Stage 5 Teacher S Resource With Cd Rom
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Author : Emma Low
language : en
Publisher: Cambridge University Press
Release Date : 2014-05-22
Cambridge Primary Mathematics Stage 5 Teacher S Resource With Cd Rom written by Emma Low and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-22 with Education categories.
This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths. This teacher's resource for stage 5 will fully support teachers to get the best from their learners and effectively use the learner's book and games book. Detailed lesson plans based on the course objectives are offered, along with additional activity ideas. Teachers will be guided to formatively assess their learners' understanding. They will have the confidence to engage the class in mathematical discussion and encourage learners to justify answers and make connections between ideas. Answers to the learner's book and all photocopiable sheets required are provided. All book content, plus more, is included on the CD for convenience.
Understanding And Teaching Primary Mathematics
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Author : Tony Cotton
language : en
Publisher: Routledge
Release Date : 2014-04-29
Understanding And Teaching Primary Mathematics written by Tony Cotton and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-29 with Education categories.
How would you teach the concept of odd and even numbers to a child? What is the probability of throwing a three on a six-sided die? How could you help a child who is confusing ratio and proportion? By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which are at the heart of teaching and learning maths, with special focus on observation and assessment of primary and early years children. Hallmark features Links to the classroom and research are provided throughout to help you relate educational theory to your own teaching practice. Portfolio and audit tasks allow you to assess your own subject knowledge and build up a portfolio of evidence to gain Qualified Teacher Status. The accompanying extra resources offers topic-specific self-audits for you to monitor your progress, exemplar lesson plans, a range of Portfolio Tasks mapped directly to current teacher standards and web-links to up-to-date online resources. New to this edition Resource Inspiration boxes give inviting examples of different activities to do with your class to provide inspiration for your own teaching. High quality videos with corresponding discussion, have been expertly selected from Teachers TV help to widen your skills and develop your practice, offering tips, lesson ideas and classroom resources.
Understanding The Math We Teach And How To Teach It K 8
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Author : Small Marian
language : en
Publisher: Taylor & Francis
Release Date : 2025-08-26
Understanding The Math We Teach And How To Teach It K 8 written by Small Marian and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-26 with Education categories.
Dr. Marian Small has written a landmark book for a wide range of educational settings and audiences, from pre-service math methods courses to ongoing professional learning for experienced teachers. Understanding the Math We Teach and How to Teach It, K-8 focuses on the big mathematical ideas in elementary and middle school grade levels and shows how to teach those concepts using a student-centered, problem-solving approach. Comprehensive and Readable: Dr. Small helps all teachers deepen their content knowledge by illustrating core mathematical themes with sample problems, clear visuals, and plain language Big Focus on Student Thinking: The book's tools, models. and discussion questions are designed to understand student thinking and nudge it forward. Particularly popular features include charts listing common student misconceptions and ways to address them, a table of suggested manipulatives for each topic, and a list of related children's book Implementing Standards That Make Sense: By focusing on key mathematics principles, Understanding the Math We Teach and How to Teach It, K-8 helps to explain the "whys" of state standards and provides teachers with a deeper understanding of number sense, operations, algebraic thinking, geometry, and other critical topics Dr. Small, a former dean with more than 40 years in the field, conceived the book as an essential guide for teachers throughout their career: "Many teachers who teach at the K-8 level have not had the luxury of specialist training in mathematics, yet they are expected to teach an increasingly sophisticated curriculum to an increasingly diverse student population in a climate where there are heightened public expectations. They deserve help."