Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Category : Education
Languages : en
Pages : 0
Book Description
With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.
Children's Mathematics
Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Category : Education
Languages : en
Pages : 0
Book Description
With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Category : Education
Languages : en
Pages : 0
Book Description
With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.
Extending Children's Mathematics
Author: Susan B. Empson
Publisher: Heinemann Educational Books
ISBN: 9780325030531
Category : Education
Languages : en
Pages : 0
Book Description
"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.
Publisher: Heinemann Educational Books
ISBN: 9780325030531
Category : Education
Languages : en
Pages : 0
Book Description
"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.
Cognitively Guided Mathematics Instruction and Teacher's Decision Making
Author: Cheryl Ann Lubinski
Publisher:
ISBN:
Category :
Languages : en
Pages : 218
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 218
Book Description
Integrating Research on Teaching and Learning Mathematics
Author: Elizabeth Fennema
Publisher: SUNY Press
ISBN: 9780791405222
Category : Mathematics
Languages : en
Pages : 242
Book Description
During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.
Publisher: SUNY Press
ISBN: 9780791405222
Category : Mathematics
Languages : en
Pages : 242
Book Description
During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.
A Fresh Look at Formative Assessment in Mathematics Teaching
Author: Edward A. Silver
Publisher: National
ISBN: 9781680540185
Category : Educational evaluation
Languages : en
Pages : 182
Book Description
Publisher: National
ISBN: 9781680540185
Category : Educational evaluation
Languages : en
Pages : 182
Book Description
The Young Child and Mathematics, Third Edition
Author: Angela Chan Turrou
Publisher:
ISBN: 9781938113932
Category : Education
Languages : en
Pages : 128
Book Description
Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!
Publisher:
ISBN: 9781938113932
Category : Education
Languages : en
Pages : 128
Book Description
Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!
Helping Children Learn Mathematics
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53
Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53
Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Choral Counting & Counting Collections
Author: Megan L Franke
Publisher: Taylor & Francis
ISBN: 1003834043
Category : Education
Languages : en
Pages : 303
Book Description
In this influential book from collaborative authors Megan L Franke, Elham Kazemi, and Angela Chan Turrou, Choral Counting & Counting Collections: Transforming the PreK – 5 Math Classroom, explores ways in which two routines -- Choral Counting and Counting Collections -- can transform your elementary math classroom, your students' math understanding, and your partnerships with families. It paints a vision for how deeply and creatively children can engage with ideas of number and operations and mathematical reasoning through counting. Created with real educators' needs in mind and organized by grade-level band (preschool, K-2, and 3-5), inside this book you'll find: Easy-to-use planning templates to guide teachers in implementing these powerful routines A variety of student recording sheets for Counting Collections that allow teachers to enact different variations of this activity across the grades Guides for selecting Choral Counts that support grade-level standards and mathematical goals Goal charts that provide specific guidance on teacher language and moves Advice on supporting both students' mathematical and social goals through Choral Counting and Counting Collections The authors have collected the wisdom of math teachers and researchers across the country who explore activities that are both playful and intentional, simple and sophisticated. If you're looking for ways to bring new energy into your math instruction, Choral Counting & Counting Collections: Transforming the PreK - 5 Math Classroom is the perfect book for you and your students.
Publisher: Taylor & Francis
ISBN: 1003834043
Category : Education
Languages : en
Pages : 303
Book Description
In this influential book from collaborative authors Megan L Franke, Elham Kazemi, and Angela Chan Turrou, Choral Counting & Counting Collections: Transforming the PreK – 5 Math Classroom, explores ways in which two routines -- Choral Counting and Counting Collections -- can transform your elementary math classroom, your students' math understanding, and your partnerships with families. It paints a vision for how deeply and creatively children can engage with ideas of number and operations and mathematical reasoning through counting. Created with real educators' needs in mind and organized by grade-level band (preschool, K-2, and 3-5), inside this book you'll find: Easy-to-use planning templates to guide teachers in implementing these powerful routines A variety of student recording sheets for Counting Collections that allow teachers to enact different variations of this activity across the grades Guides for selecting Choral Counts that support grade-level standards and mathematical goals Goal charts that provide specific guidance on teacher language and moves Advice on supporting both students' mathematical and social goals through Choral Counting and Counting Collections The authors have collected the wisdom of math teachers and researchers across the country who explore activities that are both playful and intentional, simple and sophisticated. If you're looking for ways to bring new energy into your math instruction, Choral Counting & Counting Collections: Transforming the PreK - 5 Math Classroom is the perfect book for you and your students.
Teaching Problems and the Problems of Teaching
Author: Magdalene Lampert
Publisher: Yale University Press
ISBN: 9780300099478
Category : Education
Languages : en
Pages : 518
Book Description
In this book an experienced classroom teacher and noted researcher on teaching takes us into her fifth grade math class through the course of a year. Magdalene Lampert shows how classroom dynamics--the complex relationship of teacher, student, and content--are critical in the process of bringing each student to a deeper understanding of mathematics, or any other subject. She offers valuable insights into students and teaching for all who are concerned about improving the learning that happens in the classroom. Lampert considers the teacher's and students' work from many different angles, in views large and small. She analyzes her own practice in a particular classroom, student by student and moment by moment. She also investigates the particular kind of teaching that aims at engaging elementary school students in learning fundamentally important ideas and skills by working on problems. Finally, she looks at the common problems of teaching that occur regardless of the individuals, subject matter, or kinds of practice involved. Lampert arrives at an original model of teaching practice that casts new light on the complexity in teachers' work and on the ways teachers can successfully deal with teaching problems.
Publisher: Yale University Press
ISBN: 9780300099478
Category : Education
Languages : en
Pages : 518
Book Description
In this book an experienced classroom teacher and noted researcher on teaching takes us into her fifth grade math class through the course of a year. Magdalene Lampert shows how classroom dynamics--the complex relationship of teacher, student, and content--are critical in the process of bringing each student to a deeper understanding of mathematics, or any other subject. She offers valuable insights into students and teaching for all who are concerned about improving the learning that happens in the classroom. Lampert considers the teacher's and students' work from many different angles, in views large and small. She analyzes her own practice in a particular classroom, student by student and moment by moment. She also investigates the particular kind of teaching that aims at engaging elementary school students in learning fundamentally important ideas and skills by working on problems. Finally, she looks at the common problems of teaching that occur regardless of the individuals, subject matter, or kinds of practice involved. Lampert arrives at an original model of teaching practice that casts new light on the complexity in teachers' work and on the ways teachers can successfully deal with teaching problems.
Elementary Mathematics Specialists
Author: Maggie B. McGatha
Publisher: IAP
ISBN: 1681238241
Category : Education
Languages : en
Pages : 253
Book Description
Elementary mathematics specialists are teacher leaders who are responsible for supporting effective PK–6 mathematics instruction and student learning. The Association of Mathematics Teacher Educators (AMTE), the Association of State Supervisors of Mathematics, the National Council of Supervisors of Mathematics, and the National Council of Teachers of Mathematics, in a 2010 joint position paper on Elementary Mathematics Specialists (EMSs), all advocate for the use of EMSs to support the teaching and learning of mathematics. The specific roles and expectations of EMSs will vary according to the needs of each setting, “but their expertise and successful experience at the elementary level is critical” (p 1). Elementary Mathematics Specialists: Developing, Refining, and Examining Programs that Support Mathematics Teaching and Learning is AMTE’s latest resource supporting the important work of EMSs. It has five sections related to the preparation and professional development of EMSs: (a) Overview and Current State of Affairs; (b) Models of EMS Program Development & Delivery; (c) Supporting EMSs in the Field; (d) The Mathematics Specialist Research; and (e) Future Directions. The book provides support to EMS practitioners, program providers/developers, and researchers seeking to answer important questions about how to prepare Mathematics Specialists, support them in the field, and research their effectiveness.
Publisher: IAP
ISBN: 1681238241
Category : Education
Languages : en
Pages : 253
Book Description
Elementary mathematics specialists are teacher leaders who are responsible for supporting effective PK–6 mathematics instruction and student learning. The Association of Mathematics Teacher Educators (AMTE), the Association of State Supervisors of Mathematics, the National Council of Supervisors of Mathematics, and the National Council of Teachers of Mathematics, in a 2010 joint position paper on Elementary Mathematics Specialists (EMSs), all advocate for the use of EMSs to support the teaching and learning of mathematics. The specific roles and expectations of EMSs will vary according to the needs of each setting, “but their expertise and successful experience at the elementary level is critical” (p 1). Elementary Mathematics Specialists: Developing, Refining, and Examining Programs that Support Mathematics Teaching and Learning is AMTE’s latest resource supporting the important work of EMSs. It has five sections related to the preparation and professional development of EMSs: (a) Overview and Current State of Affairs; (b) Models of EMS Program Development & Delivery; (c) Supporting EMSs in the Field; (d) The Mathematics Specialist Research; and (e) Future Directions. The book provides support to EMS practitioners, program providers/developers, and researchers seeking to answer important questions about how to prepare Mathematics Specialists, support them in the field, and research their effectiveness.