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.

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.

Number Talks

Author: Sherry Parrish
Publisher: Math Solutions Publications
ISBN: 9781935099758
Category : Education
Languages : en
Pages : 0

Book Description
"This resource was created in response to the requests of teachers--those who want to implement number talks but are unsure of how to begin, and those with experience who want more guidance in crafting purposeful problems."--Page 4 de la couverture.

Thinking Mathematically

Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN:
Category : Education
Languages : en
Pages : 166

Book Description
In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic

Putting Essential Understanding of Fractions Into Practice in Grades 3-5

Author: Kathryn Bouchard Chval
Publisher:
ISBN: 9780873537322
Category : Fractions
Languages : en
Pages : 148

Book Description
Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.

Beyond Pizzas & Pies

Author: Julie McNamara
Publisher: Math Solutions
ISBN: 1935099132
Category : Education
Languages : en
Pages : 186

Book Description
"This resource combines current research and practical strategies to support teachers in understanding and addressing the most common misconceptions that students have about fractions and presents opportunities to help students investigate, discuss, revise, expand, and refine their understanding of fractions. Includes reproducibles, bibliography, and index"--

Fractions, Decimals and Percentages

Author: Steve Mills
Publisher: Ginn
ISBN: 9780602291839
Category : Decimal fractions
Languages : en
Pages : 68

Book Description

Let's Play Math

Author: Denise Gaskins
Publisher: Tabletop Academy Press
ISBN: 1892083248
Category : Education
Languages : en
Pages : 288

Book Description

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.

Lessons for Decimals and Percents

Author: Carrie de Francisco
Publisher: Math Solutions
ISBN: 9780941355445
Category : Education
Languages : en
Pages : 212

Book Description
Support mathematical understanding in your instructional program through this rich collection of easy-to-use teaching resources. Each book focuses on a specific arithmetic topic and offers a series of classroom-tested lessons addressing the three important aspects of arithmetic instruction--computation, number sense, and problem solving. The lessons include step-by-step directions, amount of time needed, materials required, classroom vignettes, samples of student work, reproducibles, and a discussion of the math underlying the lesson.