Ebook: Fractals for the Classroom: Part One Introduction to Fractals and Chaos

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.

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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.

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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.
Content:
Front Matter....Pages i-16
The Backbone of Fractals: Feedback and the Iterator....Pages 17-73
Classical Fractals and Self-Similarity....Pages 75-150
Limits and Self-Similarity....Pages 151-208
Length, Area and Dimension: Measuring Complexity and Scaling Properties....Pages 209-253
Encoding Images by Simple Transformations....Pages 255-318
The Chaos Game: How Randomness Creates Deterministic Shapes....Pages 319-377
Irregular Shapes: Randomness in Fractal Constructions....Pages 379-432
Back Matter....Pages 433-450

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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.
Content:
Front Matter....Pages i-16
The Backbone of Fractals: Feedback and the Iterator....Pages 17-73
Classical Fractals and Self-Similarity....Pages 75-150
Limits and Self-Similarity....Pages 151-208
Length, Area and Dimension: Measuring Complexity and Scaling Properties....Pages 209-253
Encoding Images by Simple Transformations....Pages 255-318
The Chaos Game: How Randomness Creates Deterministic Shapes....Pages 319-377
Irregular Shapes: Randomness in Fractal Constructions....Pages 379-432
Back Matter....Pages 433-450
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