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Fractals For The Classroom Strategic Activities Volume Two

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Fractals For The Classroom

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Author : Heinz-Otto Peitgen
language : en
Publisher: Springer
Release Date : 1991-10-22

Fractals For The Classroom written by Heinz-Otto Peitgen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-22 with Mathematics categories.

Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.

Fractals For The Classroom Strategic Activities Volume Two

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Author : Heinz-Otto Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Fractals For The Classroom Strategic Activities Volume Two written by Heinz-Otto Peitgen 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 2013-06-29 with Mathematics categories.

The same factors that motivated the writing of our first volume of strategic activities on fractals continued to encourage the assembly of additional activities for this second volume. Fractals provide a setting wherein students can enjoy hands-on experiences that involve important mathematical content connected to a wide range of physical and social phenomena. The striking graphic images, unexpected geometric properties, and fascinating numerical processes offer unparalleled opportunity for enthusiastic student inquiry. Students sense the vigor present in the growing and highly integrative discipline of fractal geom etry as they are introduced to mathematical developments that have occurred during the last half of the twentieth century. Few branches of mathematics and computer science offer such a contem porary portrayal of the wonderment available in careful analysis, in the amazing dialogue between numeric and geometric processes, and in the energetic interaction between mathematics and other disciplines. Fractals continue to supply an uncommon setting for animated teaching and learn ing activities that focus upon fundamental mathematical concepts, connections, problem-solving techniques, and many other major topics of elementary and advanced mathematics. It remains our hope that, through this second volume of strategic activities, readers will find their enjoyment of mathematics heightened and their appreciation for the dynamics of the world in creased. We want experiences with fractals to enliven curiosity and to stretch the imagination.

Fractals For The Classroom Strategic Activities Volume Three

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Author : Heinz-Otto Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-03-26

Fractals For The Classroom Strategic Activities Volume Three written by Heinz-Otto Peitgen 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 1999-03-26 with Mathematics categories.

Written by the award winning authors of Chaos and Fractals (0-387-97903-4), this work introduces the reader to iterated function systems through a lively, interactive approach. This well-written, clearly illustrated book explores the history and the unlimited potential of fractals, while developing a basic mathematical understanding and appreciation for the topics.

Fractals For The Classroom Strategic Activities Volume One

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Author : Heinz-Otto Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fractals For The Classroom Strategic Activities Volume One written by Heinz-Otto Peitgen 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 2012-12-06 with Mathematics categories.

There are many reasons for writing this first volume of strategic activities on fractals. The most pervasive is the compelling desire to provide students of mathematics with a set of accessible, hands-on experiences with fractals and their underlying mathematical principles and characteristics. Another is to show how fractals connect to many different aspects of mathematics and how the study of fractals can bring these ideas together. A third is to share the beauty of their structure and shape both through what the eye sees and what the mind visualizes. Fractals have captured the attention, enthusiasm, and interest of many people around the world. To the casual observer, their color, beauty, and geometric structure captivates the visual senses like few other things they have ever experienced in mathematics. To the computer scientist, fractals offer a rich environment in which to explore, create, and build a new visual world as an artist creating a new work. To the student, fractals bring mathematics out of past history and into the twenty-first century. To the mathematics teacher, fractals offer a unique, new opportunity to illustrate both the dynamics of mathematics and its many connecting links.

Fractals For The Classroom

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Author : Heinz-Otto Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fractals For The Classroom written by Heinz-Otto Peitgen 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 2012-12-06 with Mathematics categories.

Teaching Secondary School Mathematics Techniques And Enrichment

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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2020-09-18

Teaching Secondary School Mathematics Techniques And Enrichment written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-18 with Mathematics categories.

The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.

Chaos A Mathematical Introduction

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Author : John Banks
language : en
Publisher: Cambridge University Press
Release Date : 2003-05-08

Chaos A Mathematical Introduction written by John Banks 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 2003-05-08 with Mathematics categories.

When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.

Dynamical Systems With Applications Using Maple

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Author : Stephen Lynch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Dynamical Systems With Applications Using Maple written by Stephen Lynch 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 2013-11-11 with Science categories.

This book provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. lt is written for both senior un dergraduates and first-year graduale students. The firsthalf of the book deals with continuous systems using ordinary differential equations (Chapters 1-12) and the second half is devoted to the study of discrete dynamical systems (Chapters 13-20). (The author has gone for breadth of coverage rather than fine detail and theorems with proof are kept at a minimum.) The material is not clouded by functional analytic and group theoretical definitions, and so is intelligible to readers with a general mathematical background. Some of the topics covered are scarcely cov ered elsewhere. Most of the material in Chapters 9-12, 16, 17, 19, and 20 is at postgraduale Ievel and has been influenced by the author's own research interests. It has been found that these chapters are especially useful as reference material for senior undergraduate project work. The book has a very hands-on approach and takes the reader from the basic theory right through to recently published research material.

Creative Secondary School Mathematics 125 Enrichment Units For Grades 7 To 12

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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2021-06-08

Creative Secondary School Mathematics 125 Enrichment Units For Grades 7 To 12 written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Mathematics categories.

There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units — ranging from grades 7 through 12 — that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!

Dynamical Systems With Applications Using Mapletm

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Author : Stephen Lynch
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-23

Dynamical Systems With Applications Using Mapletm written by Stephen Lynch 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 2009-12-23 with Mathematics categories.

Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions Two new chapters on neural networks and simulation have also been added Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering A hands-on approach is used with Maple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website with additional applications and further links of interest at Maplesoft’s Application Center

Fractals For The Classroom Strategic Activities Volume Two

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