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Developing Fractions Knowledge

2016-07-21 Education
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Release : 2016-07-21
Genre : Education
Kind : eBook
Book Rating : 61X/5 ( reviews)

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Book Synopsis Developing Fractions Knowledge by : Amy J. Hackenberg

Download or read book Developing Fractions Knowledge written by Amy J. Hackenberg. This book was released on 2016-07-21. Available in PDF, EPUB and Kindle. Book excerpt: Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.

Geometry of Continued Fractions

2013-08-15 Mathematics
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Release : 2013-08-15
Genre : Mathematics
Kind : eBook
Book Rating : 683/5 ( reviews)

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Book Synopsis Geometry of Continued Fractions by : Oleg Karpenkov

Download or read book Geometry of Continued Fractions written by Oleg Karpenkov. This book was released on 2013-08-15. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.

Summary of Arithmetic Investigations

1926 Arithmetic
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Release : 1926
Genre : Arithmetic
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Summary of Arithmetic Investigations by : Guy Thomas Buswell

Download or read book Summary of Arithmetic Investigations written by Guy Thomas Buswell. This book was released on 1926. Available in PDF, EPUB and Kindle. Book excerpt:

Summary of Investigations

1964 Communicable diseases
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Release : 1964
Genre : Communicable diseases
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Summary of Investigations by : Communicable Disease Center (U.S.) Technology Branch

Download or read book Summary of Investigations written by Communicable Disease Center (U.S.) Technology Branch. This book was released on 1964. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Continued Fractions

2022-05-28 Mathematics
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Release : 2022-05-28
Genre : Mathematics
Kind : eBook
Book Rating : 773/5 ( reviews)

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Book Synopsis Geometry of Continued Fractions by : Oleg N. Karpenkov

Download or read book Geometry of Continued Fractions written by Oleg N. Karpenkov. This book was released on 2022-05-28. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.

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