Patterns In Mathematics

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The Mathematics Of Patterns Symmetries And Beauties In Nature

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Author : Bourama Toni
language : en
Publisher: Springer
Release Date : 2023-02-25

The Mathematics Of Patterns Symmetries And Beauties In Nature written by Bourama Toni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-25 with Science categories.

This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

Investigating Patterns In Shape And Number

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Author : Leanne Burgess
language : en
Publisher: R.I.C. Publications
Release Date : 2002

Investigating Patterns In Shape And Number written by Leanne Burgess and has been published by R.I.C. Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Form perception categories.

Mathematics As A Science Of Patterns

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Author : Michael D. Resnik
language : en
Publisher: Clarendon Press
Release Date : 1997-07-31

Mathematics As A Science Of Patterns written by Michael D. Resnik and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-31 with Philosophy categories.

Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defence of realism about the metaphysics of mathematics—the view that mathematics is about things that really exist. Resnik's distinctive philosophy of mathematics is here presented in an accessible and systematic form: it will be of value not only to specialists in this area, but to philosophers, mathematicians, and logicians interested in the relationship between these three disciplines, or in truth, realism, and epistemology.

Patterns Around Us

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Author : Tony Hyland
language : en
Publisher: Teacher Created Materials
Release Date : 2008-10-10

Patterns Around Us written by Tony Hyland and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-10 with Juvenile Nonfiction categories.

Patterns are everywhere around us. They can be found in nature on plants, animals, and rocks, as well as man-made patterns in art, fashion, and architecture. Apply your knowledge of patterns as you study amazing geometric and number patterns. You'll even learn about the Fibonacci sequence of numbers! With vibrant photos, math charts and diagrams, grade-appropriate text, and informational text features to help navigate the text, students will learn practical, real-world applications of math skills as they learn number patterns and build their STEM skills.

Teaching And Learning Patterns In School Mathematics

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Author : Ferdinand Rivera
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08

Teaching And Learning Patterns In School Mathematics written by Ferdinand Rivera and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Education categories.

This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum. ​

Patterns

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Author : Michele Koomen
language : en
Publisher: Capstone
Release Date : 2001

Patterns written by Michele Koomen and has been published by Capstone this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Juvenile Nonfiction categories.

Simple text, photographs, and illustrations introduce mathematical patterns including how to identify patterns, create patterns, and predict what comes next in a given pattern.

Patterns In Mathematics

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Author : Paul Swan
language : en
Publisher: R.I.C. Publications
Release Date : 2002

Patterns In Mathematics written by Paul Swan and has been published by R.I.C. Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Form perception categories.

"Pattern work that introduces and develops the relationship between numbers. The activities predominantly focus on number relationships in tables... range from completing addition tables, to number sequences, to 'finding the rule'"--Foreword.

Patterns All Around Me

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Author : Trisha Callella
language : en
Publisher: Creative Teaching Press
Release Date : 1998-06

Patterns All Around Me written by Trisha Callella and has been published by Creative Teaching Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06 with Juvenile Fiction categories.

Proof Patterns

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Author : Mark Joshi
language : en
Publisher: Springer
Release Date : 2015-03-30

Proof Patterns written by Mark Joshi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-30 with Mathematics categories.

This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as algebra, analysis, topology and number theory are explored. Specific topics examined include game theory, combinatorics and Euclidean geometry, enabling a broad familiarity. The author, an experienced lecturer and researcher renowned for his innovative view and intuitive style, illuminates a wide range of techniques and examples from duplicating the cube to triangulating polygons to the infinitude of primes to the fundamental theorem of algebra. Intended as a companion for undergraduate students, this text is an essential addition to every aspiring mathematician’s toolkit.

Patterns

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Author : John Burstein
language : en
Publisher: Gareth Stevens Publishing LLLP
Release Date : 2003-07-03

Patterns written by John Burstein and has been published by Gareth Stevens Publishing LLLP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-03 with Juvenile Nonfiction categories.

The four math monsters show how to make different kinds of patterns as they paint their walls.