Author: Hope Martin
Publisher: Corwin Press
ISBN: 1412949785
Category : Education
Languages : en
Pages : 209
Book Description
Deepen students' understanding of math concepts through active involvement! Engaging students directly in creative learning experiences is the basis of author Hope Martin's approach for re-energizing mathematics instruction. Active Learning in the Mathematics Classroom, Grades 5-8, Second Edition offers attention-grabbers such as Algebra Jokes, The M&M Mystery, How Long Would It Take to Walk to China?, and Gummi Worms to help students use mathematics as a powerful problem-solving tool, gain meaningful understandings of key concepts, and effectively communicate their mathematical thinking. Presenting a generous collection of student activities aligned with the five NCTM content standards, this revised edition of Multiple Intelligences in the Mathematics Classroom features A new chapter addressing algebra conceptsReproducible student pages for each activity Journaling questions to engage students in writing about mathematics Specific Web site resourcesWith step-by-step directions, suggestions, tips, and variations for implementation, this updated text provides a rich instructional resource for teachers, mathematics specialists, and curriculum directors.
Active Learning in the Mathematics Classroom, Grades 5-8
Author: Hope Martin
Publisher: Corwin Press
ISBN: 1412949785
Category : Education
Languages : en
Pages : 209
Book Description
Deepen students' understanding of math concepts through active involvement! Engaging students directly in creative learning experiences is the basis of author Hope Martin's approach for re-energizing mathematics instruction. Active Learning in the Mathematics Classroom, Grades 5-8, Second Edition offers attention-grabbers such as Algebra Jokes, The M&M Mystery, How Long Would It Take to Walk to China?, and Gummi Worms to help students use mathematics as a powerful problem-solving tool, gain meaningful understandings of key concepts, and effectively communicate their mathematical thinking. Presenting a generous collection of student activities aligned with the five NCTM content standards, this revised edition of Multiple Intelligences in the Mathematics Classroom features A new chapter addressing algebra conceptsReproducible student pages for each activity Journaling questions to engage students in writing about mathematics Specific Web site resourcesWith step-by-step directions, suggestions, tips, and variations for implementation, this updated text provides a rich instructional resource for teachers, mathematics specialists, and curriculum directors.
Publisher: Corwin Press
ISBN: 1412949785
Category : Education
Languages : en
Pages : 209
Book Description
Deepen students' understanding of math concepts through active involvement! Engaging students directly in creative learning experiences is the basis of author Hope Martin's approach for re-energizing mathematics instruction. Active Learning in the Mathematics Classroom, Grades 5-8, Second Edition offers attention-grabbers such as Algebra Jokes, The M&M Mystery, How Long Would It Take to Walk to China?, and Gummi Worms to help students use mathematics as a powerful problem-solving tool, gain meaningful understandings of key concepts, and effectively communicate their mathematical thinking. Presenting a generous collection of student activities aligned with the five NCTM content standards, this revised edition of Multiple Intelligences in the Mathematics Classroom features A new chapter addressing algebra conceptsReproducible student pages for each activity Journaling questions to engage students in writing about mathematics Specific Web site resourcesWith step-by-step directions, suggestions, tips, and variations for implementation, this updated text provides a rich instructional resource for teachers, mathematics specialists, and curriculum directors.
Progress in Mathematics
Author: Rose A. McDonnell
Publisher:
ISBN: 9780821582039
Category : Mathematics
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9780821582039
Category : Mathematics
Languages : en
Pages : 0
Book Description
Categories for the Working Mathematician
Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
ISBN: 1475747217
Category : Mathematics
Languages : en
Pages : 320
Book Description
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Publisher: Springer Science & Business Media
ISBN: 1475747217
Category : Mathematics
Languages : en
Pages : 320
Book Description
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Five Golden Rules
Author: John Casti
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 264
Book Description
In Five Golden Rules, John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms. Along the way, we meet the leading thinkers of the day: John von Neumann, L. E. J. Brouwer, Marston Morse, and Alan Turing, among others. And we come to understand the combination of circumstances that led each to such revolutionary discoveries as the Minimax Theorem, which spawned the exciting field of game theory, and the Simplex Method, which underpins the powerful tools of optimization theory.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 264
Book Description
In Five Golden Rules, John L. Casti serves as curator to a brilliant collection of 20th-century mathematical theories, leading us on a fascinating journey of discovery and insight. Probing the frontiers of modern mathematics, Casti examines the origins of some of the most important findings of this century. This is a tale of mystery and logic, elegance and reason; it is the story of five monumental mathematical breakthroughs and how they shape our lives. All those intrigued by the mathematical process, nonacademics and professionals alike, will find this an enlightening, eye-opening, and entertaining work. High school algebra or geometry - and enthusiasm - are the only prerequisites. From the theorem that provided the impetus for modern computers to the calculations that sent the first men to the Moon, these breakthroughs have transformed our lives. Casti illustrates each theorem with a dazzling array of real-world problems it has helped solve - how to calculate the shape of space, optimize investment returns, even chart the course of the development of organisms. Along the way, we meet the leading thinkers of the day: John von Neumann, L. E. J. Brouwer, Marston Morse, and Alan Turing, among others. And we come to understand the combination of circumstances that led each to such revolutionary discoveries as the Minimax Theorem, which spawned the exciting field of game theory, and the Simplex Method, which underpins the powerful tools of optimization theory.
5 Principles of the Modern Mathematics Classroom
Author: Gerald Aungst
Publisher: Corwin Press
ISBN: 1506322999
Category : Education
Languages : en
Pages : 141
Book Description
Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces
Publisher: Corwin Press
ISBN: 1506322999
Category : Education
Languages : en
Pages : 141
Book Description
Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces
Singapore Math, Grade 5
Author:
Publisher: Carson-Dellosa Publishing
ISBN: 148381856X
Category : Juvenile Nonfiction
Languages : en
Pages : 260
Book Description
Singapore Math creates a deep understanding of each key math concept, includes an introduction explaining the Singapore Math method, is a direct complement to the current textbooks used in Singapore, and includes step-by-step solutions in the answer key. Singapore Math, for students in grades 2 to 5, provides math practice while developing analytical and problem-solving skills. This series is correlated to Singapore Math textbooks and creates a deep understanding of each key math concept. Learning objectives are provided to identify what students should know after completing each unit, and assessments are included to ensure that learners obtain a thorough understanding of mathematical concepts. Perfect as a supplement to classroom work, these workbooks will boost confidence in problem-solving and critical-thinking skills!
Publisher: Carson-Dellosa Publishing
ISBN: 148381856X
Category : Juvenile Nonfiction
Languages : en
Pages : 260
Book Description
Singapore Math creates a deep understanding of each key math concept, includes an introduction explaining the Singapore Math method, is a direct complement to the current textbooks used in Singapore, and includes step-by-step solutions in the answer key. Singapore Math, for students in grades 2 to 5, provides math practice while developing analytical and problem-solving skills. This series is correlated to Singapore Math textbooks and creates a deep understanding of each key math concept. Learning objectives are provided to identify what students should know after completing each unit, and assessments are included to ensure that learners obtain a thorough understanding of mathematical concepts. Perfect as a supplement to classroom work, these workbooks will boost confidence in problem-solving and critical-thinking skills!
Active Experiences for Active Children
Author: Carol Seefeldt
Publisher: Prentice Hall
ISBN: 9780132659550
Category : Education
Languages : en
Pages : 191
Book Description
Part of a series of texts, Active Experiences for Active Children: Science, Third Edition, is unique to the market by providing a theoretical foundation for teaching science to preschoolers and primary-grade children alongside meaningful, standards-based, constructivist, hands-on learning "experiences" to guide teachers in their practice. Organized around the National Science Education Standards and the Benchmarks for Science Literacy, the textconsists of clear, concise, usable guides for planning meaningful learning experiences in science for children in childcare settings, preschool programs, Head Start and other federally funded programs, and kindergarten. Primary-grade children should be engaged in active experiential learning as well, and each experience is extended to the early primary grades (grades 1-3). The experiences in this book are meaningful because they: · are grounded in children's interests and needs in their here-and-now world. · have integrity in terms of content key to science. · involve children in group work, investigations, or projects based on inquiry learning. · have continuity: One experience builds on another, forming a complete, coherent, integrated learning curriculum for young children as well as connecting the early childhood setting to children's homes and communities. · provide time and opportunity for children to think and reflect on their experiences. · provide the teacher with the opportunity to document and assess children's learning. Organized to address a variety of audiences, the text is formatted in two parts: Part One offers a foundation for young children and science; Part Two offers thematic based units full of resources for teachers, teacher strategies, and inquiry-based experiences for children. The content has been expanded in the third edition to include a new chapter on engaging children with the natural world (Chapter 14), references to the most recent reports on science education from the National Academies, updated and expanded lists of books and Web sites for children and adults, and new activities. This highly- readable, user-friendly series text is formatted with an engaging, conversational style that will connect and resonate with its varied readers.
Publisher: Prentice Hall
ISBN: 9780132659550
Category : Education
Languages : en
Pages : 191
Book Description
Part of a series of texts, Active Experiences for Active Children: Science, Third Edition, is unique to the market by providing a theoretical foundation for teaching science to preschoolers and primary-grade children alongside meaningful, standards-based, constructivist, hands-on learning "experiences" to guide teachers in their practice. Organized around the National Science Education Standards and the Benchmarks for Science Literacy, the textconsists of clear, concise, usable guides for planning meaningful learning experiences in science for children in childcare settings, preschool programs, Head Start and other federally funded programs, and kindergarten. Primary-grade children should be engaged in active experiential learning as well, and each experience is extended to the early primary grades (grades 1-3). The experiences in this book are meaningful because they: · are grounded in children's interests and needs in their here-and-now world. · have integrity in terms of content key to science. · involve children in group work, investigations, or projects based on inquiry learning. · have continuity: One experience builds on another, forming a complete, coherent, integrated learning curriculum for young children as well as connecting the early childhood setting to children's homes and communities. · provide time and opportunity for children to think and reflect on their experiences. · provide the teacher with the opportunity to document and assess children's learning. Organized to address a variety of audiences, the text is formatted in two parts: Part One offers a foundation for young children and science; Part Two offers thematic based units full of resources for teachers, teacher strategies, and inquiry-based experiences for children. The content has been expanded in the third edition to include a new chapter on engaging children with the natural world (Chapter 14), references to the most recent reports on science education from the National Academies, updated and expanded lists of books and Web sites for children and adults, and new activities. This highly- readable, user-friendly series text is formatted with an engaging, conversational style that will connect and resonate with its varied readers.
Primary Mathematics
Author:
Publisher:
ISBN:
Category : Addition
Languages : en
Pages : 312
Book Description
Based on the highly successful Primary Mathematics series from Singapore. Designed to equip students with a strong foundation in mathematics and critical thinking skills, this program offers an integrated solution to learning needs in the classroom for grade 5.
Publisher:
ISBN:
Category : Addition
Languages : en
Pages : 312
Book Description
Based on the highly successful Primary Mathematics series from Singapore. Designed to equip students with a strong foundation in mathematics and critical thinking skills, this program offers an integrated solution to learning needs in the classroom for grade 5.
New Abacus 5
Author: Ruth Merttens
Publisher: Ginn
ISBN: 9780602290955
Category : Juvenile Nonfiction
Languages : en
Pages : 172
Book Description
Provides details of the activities outlined on the Teacher Card. Differentiated activities are provided, from paired and group work, to whole class investigations. The activities provide an opportunity for further teaching or STA input. Key learning points are identified for each activity.
Publisher: Ginn
ISBN: 9780602290955
Category : Juvenile Nonfiction
Languages : en
Pages : 172
Book Description
Provides details of the activities outlined on the Teacher Card. Differentiated activities are provided, from paired and group work, to whole class investigations. The activities provide an opportunity for further teaching or STA input. Key learning points are identified for each activity.
The Formative 5
Author: Francis (Skip) Fennell
Publisher: Corwin Press
ISBN: 1506375189
Category : Education
Languages : en
Pages : 200
Book Description
"This highly practical and readable book gets right down into the detail of what good formative assessment looks like in math classrooms, and shows how teachers can make this a part of their regular planning and instruction." —Dylan Wiliam, Emeritus Professor of Educational Assessment, University College Imagine how it would feel to not worry about how to plan, teach, and check for student mathematical understandings and related proficiencies. Imagine if this important process felt like a natural, every day, part of your lesson preparation instead of an extra thing to do. This must-have resource shows the way. NCTM Past President, Francis "Skip" Fennell, and nationally-recognized mathematics educators Beth McCord Kobett and Jonathan (Jon) Wray, offer five of the most impactful, proven assessment techniques—Observations, Interviews, "Show Me," Hinge Questions, and Exit Tasks— you can implement, every day. Tried and tested by teachers just like you, you’ll find that this palette of classroom-based techniques will truly assess learning and inform teaching. Research and classroom practice indicates that formative assessment is poorly understood. This book gives you a concise, research-based, classroom-dedicated plan with lots of tools, activities, classroom vignettes, and student work to guide your daily use of these techniques – The Formative 5. Both within and between lessons, K-8 teachers of mathematics will learn to Think and go beyond assessment of learning, focusing on assessment for learning Directly connect assessment to planning and teaching Engineer effective classroom questioning, discussions, and learning tasks Provide success criteria and feedback that moves students forward Integrate the Standards for Mathematical Practice Activate student self-assessors who take ownership of their learning Includes a book study guide, tools and templates, and a companion website with downloadables and multi-media examples of student discussion in the classroom. The Formative 5 will help you build your mathematics-related formative assessment capacity through daily use of these five key techniques, leading to regularly monitored and improved learning opportunities for your students. Now Available: The On-Your-Feet Guide to The Formative 5
Publisher: Corwin Press
ISBN: 1506375189
Category : Education
Languages : en
Pages : 200
Book Description
"This highly practical and readable book gets right down into the detail of what good formative assessment looks like in math classrooms, and shows how teachers can make this a part of their regular planning and instruction." —Dylan Wiliam, Emeritus Professor of Educational Assessment, University College Imagine how it would feel to not worry about how to plan, teach, and check for student mathematical understandings and related proficiencies. Imagine if this important process felt like a natural, every day, part of your lesson preparation instead of an extra thing to do. This must-have resource shows the way. NCTM Past President, Francis "Skip" Fennell, and nationally-recognized mathematics educators Beth McCord Kobett and Jonathan (Jon) Wray, offer five of the most impactful, proven assessment techniques—Observations, Interviews, "Show Me," Hinge Questions, and Exit Tasks— you can implement, every day. Tried and tested by teachers just like you, you’ll find that this palette of classroom-based techniques will truly assess learning and inform teaching. Research and classroom practice indicates that formative assessment is poorly understood. This book gives you a concise, research-based, classroom-dedicated plan with lots of tools, activities, classroom vignettes, and student work to guide your daily use of these techniques – The Formative 5. Both within and between lessons, K-8 teachers of mathematics will learn to Think and go beyond assessment of learning, focusing on assessment for learning Directly connect assessment to planning and teaching Engineer effective classroom questioning, discussions, and learning tasks Provide success criteria and feedback that moves students forward Integrate the Standards for Mathematical Practice Activate student self-assessors who take ownership of their learning Includes a book study guide, tools and templates, and a companion website with downloadables and multi-media examples of student discussion in the classroom. The Formative 5 will help you build your mathematics-related formative assessment capacity through daily use of these five key techniques, leading to regularly monitored and improved learning opportunities for your students. Now Available: The On-Your-Feet Guide to The Formative 5