Author: Amy J. Hackenberg
Publisher: SAGE
ISBN: 147398761X
Category : Education
Languages : en
Pages : 343
Book Description
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.
Developing Fractions Knowledge
Author: Amy J. Hackenberg
Publisher: SAGE
ISBN: 147398761X
Category : Education
Languages : en
Pages : 343
Book Description
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.
Publisher: SAGE
ISBN: 147398761X
Category : Education
Languages : en
Pages : 343
Book Description
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
Author: Oleg Karpenkov
Publisher: Springer Science & Business Media
ISBN: 3642393683
Category : Mathematics
Languages : en
Pages : 409
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3642393683
Category : Mathematics
Languages : en
Pages : 409
Book Description
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
Author: Guy Thomas Buswell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 92
Book Description
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 92
Book Description
Summary of Investigations
Author: Communicable Disease Center (U.S.) Technology Branch
Publisher:
ISBN:
Category : Communicable diseases
Languages : en
Pages : 632
Book Description
Publisher:
ISBN:
Category : Communicable diseases
Languages : en
Pages : 632
Book Description
Geometry of Continued Fractions
Author: Oleg N. Karpenkov
Publisher: Springer Nature
ISBN: 3662652773
Category : Mathematics
Languages : en
Pages : 462
Book Description
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.
Publisher: Springer Nature
ISBN: 3662652773
Category : Mathematics
Languages : en
Pages : 462
Book Description
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.
Report of Investigations
Summary of Educational Investigations Relating to Arithmetic
Author: Guy Thomas Buswell
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 232
Book Description
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 232
Book Description
Investigations in Number, Data, and Space: Fair shares
Author: Cornelia C. Tierney
Publisher:
ISBN: 9781572327023
Category : Fractions
Languages : en
Pages : 128
Book Description
Publisher:
ISBN: 9781572327023
Category : Fractions
Languages : en
Pages : 128
Book Description
Bulletin:mining and Metallurgical Investigations
Author: Carnegie Institute of Technology
Publisher:
ISBN:
Category :
Languages : en
Pages : 92
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 92
Book Description