Author: Catherine Twomey Fosnot
Publisher: Greenwood International
ISBN: 9780325010045
Category :
Languages : en
Pages :
Book Description
Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates
Contexts for Learning Mathematics
Author: Catherine Twomey Fosnot
Publisher: Greenwood International
ISBN: 9780325010045
Category :
Languages : en
Pages :
Book Description
Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates
Publisher: Greenwood International
ISBN: 9780325010045
Category :
Languages : en
Pages :
Book Description
Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates
Contexts for Learning Mathematics Level 1 Read-Alouds
Author: Catherine Twomey Fosnot
Publisher: Firsthand Books
ISBN: 9780325010847
Category : Education
Languages : en
Pages : 0
Book Description
Building learning around rich, instructionally sound contexts was an overarching goal during the development of the Contexts for Learning Mathematics series. Throughout the series context is used to set the stage for learning. It establishes a terrain that will intrigue children and ignite their imaginations. The contexts are situations children can imagine - either realistic or fictional - that enable them to reflect on what they are doing and apply mathematical thinking to their own world. Contexts for investigations are typically developed with stories and pictures. These are carefully crafted to involve students in meaningful investigations of the big ideas, strategies, and models that shape mathematical thinking. - The images and texts are engaging and include age-appropriate children using mathematics to solve real-world problems. - The numbers referenced represent landmark numbers or number relationships that are significant and telling. - The models and metaphors within a context make relationships and strategies more tangible and explicit. The contexts for the eight units in Investigating Number Sense, Addition, and Subtraction (Grades K - 3) are established through eight engaging read-aloud books (15" x 12") that meld humor, intrigue, and good math sense. To learn more visit www.contextsforlearning.com
Publisher: Firsthand Books
ISBN: 9780325010847
Category : Education
Languages : en
Pages : 0
Book Description
Building learning around rich, instructionally sound contexts was an overarching goal during the development of the Contexts for Learning Mathematics series. Throughout the series context is used to set the stage for learning. It establishes a terrain that will intrigue children and ignite their imaginations. The contexts are situations children can imagine - either realistic or fictional - that enable them to reflect on what they are doing and apply mathematical thinking to their own world. Contexts for investigations are typically developed with stories and pictures. These are carefully crafted to involve students in meaningful investigations of the big ideas, strategies, and models that shape mathematical thinking. - The images and texts are engaging and include age-appropriate children using mathematics to solve real-world problems. - The numbers referenced represent landmark numbers or number relationships that are significant and telling. - The models and metaphors within a context make relationships and strategies more tangible and explicit. The contexts for the eight units in Investigating Number Sense, Addition, and Subtraction (Grades K - 3) are established through eight engaging read-aloud books (15" x 12") that meld humor, intrigue, and good math sense. To learn more visit www.contextsforlearning.com
Teaching Math to Multilingual Students, Grades K-8
Author: Kathryn B. Chval
Publisher: Corwin Press
ISBN: 1071810839
Category : Education
Languages : en
Pages : 282
Book Description
Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Publisher: Corwin Press
ISBN: 1071810839
Category : Education
Languages : en
Pages : 282
Book Description
Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Organizing and Collecting
Author: Nina Liu
Publisher: Firsthand Books
ISBN: 9780325010113
Category : Education
Languages : en
Pages : 0
Book Description
Contexts for Learning Mathematics series by Catherine Fosnot and colleagues from Mathematics in the City and the Freudenthal Institute uses carefully crafted math situations to foster a deep conceptual understanding of essential mathematical ideas, strategies, and models.
Publisher: Firsthand Books
ISBN: 9780325010113
Category : Education
Languages : en
Pages : 0
Book Description
Contexts for Learning Mathematics series by Catherine Fosnot and colleagues from Mathematics in the City and the Freudenthal Institute uses carefully crafted math situations to foster a deep conceptual understanding of essential mathematical ideas, strategies, and models.
Groceries, Stamps, and Measuring Strips
Author: Frans Van Galen
Publisher: Firsthand Books
ISBN: 9780325010168
Category : Education
Languages : en
Pages : 0
Book Description
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Publisher: Firsthand Books
ISBN: 9780325010168
Category : Education
Languages : en
Pages : 0
Book Description
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Contexts for Learning Mathematics, Level 1
Author: Catherine Twomey Fosnot
Publisher: Greenwood International
ISBN: 9780325010526
Category : Education
Languages : en
Pages :
Book Description
Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates
Publisher: Greenwood International
ISBN: 9780325010526
Category : Education
Languages : en
Pages :
Book Description
Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates
Bunk Beds and Apple Boxes
Author: Catherine Twomey Fosnot
Publisher: Firsthand Books
ISBN: 9780325010069
Category : Education
Languages : en
Pages : 0
Book Description
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Publisher: Firsthand Books
ISBN: 9780325010069
Category : Education
Languages : en
Pages : 0
Book Description
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Ages and Timelines
Author: Catherine Twomey Fosnot
Publisher: Firsthand Books
ISBN: 9780325010144
Category : Education
Languages : en
Pages : 0
Book Description
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Publisher: Firsthand Books
ISBN: 9780325010144
Category : Education
Languages : en
Pages : 0
Book Description
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Numeracy in Authentic Contexts
Author: Maura Sellars
Publisher: Springer
ISBN: 9811057362
Category : Education
Languages : en
Pages : 451
Book Description
This book is based on the notion that there are many ways in which mathematics learning can be achieved for students and that not all of them are focused on the mathematics classroom. It explores the foundational numeracy principles of the non-mathematical subject areas and aligns these to the Australian numeracy-learning continuum. It demonstrates, in detail, the extent to which numeracy competencies underpin successful learning in all the subject areas of the curricula. It validates a focus of developing numeracy competencies through learning in the arts, science and other discipline areas with which school students to engage with in order develop holistically, but which are not subjected to national assessment practices. It is developed around the notion of ‘praxis’, putting theory into practice in order to respond to the urgent need for students to be supported in their efforts to increase their numeracy capabilities in a world where extensive amounts of new information are often presented in graphical or data based formats. Additionally, it offers perspectives on developing all students’ capacities to become numerate in school contexts and presents inclusive, differentiated lesson examples as an alternative way of exploring numeracy in the context of teaching and learning in real-world classroom contexts.
Publisher: Springer
ISBN: 9811057362
Category : Education
Languages : en
Pages : 451
Book Description
This book is based on the notion that there are many ways in which mathematics learning can be achieved for students and that not all of them are focused on the mathematics classroom. It explores the foundational numeracy principles of the non-mathematical subject areas and aligns these to the Australian numeracy-learning continuum. It demonstrates, in detail, the extent to which numeracy competencies underpin successful learning in all the subject areas of the curricula. It validates a focus of developing numeracy competencies through learning in the arts, science and other discipline areas with which school students to engage with in order develop holistically, but which are not subjected to national assessment practices. It is developed around the notion of ‘praxis’, putting theory into practice in order to respond to the urgent need for students to be supported in their efforts to increase their numeracy capabilities in a world where extensive amounts of new information are often presented in graphical or data based formats. Additionally, it offers perspectives on developing all students’ capacities to become numerate in school contexts and presents inclusive, differentiated lesson examples as an alternative way of exploring numeracy in the context of teaching and learning in real-world classroom contexts.
Visible Learning for Mathematics, Grades K-12
Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 208
Book Description
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 208
Book Description
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.