Extending Childrens Mathematics Fractions Decimals

Download or read book Extending Children's Mathematics written by Susan B. Empson and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Download or read book Children's Mathematics written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Putting Essential Understanding of Fractions Into Practice in Grades 3-5 written by Kathryn Bouchard Chval and published by . This book was released on 2013 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Thinking Mathematically written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2003 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic

Download or read book Number Talks written by Sherry Parrish and published by Math Solutions Publications. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Download or read book Beyond Pizzas & Pies written by Julie McNamara and published by Math Solutions. This book was released on 2010 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--

Download or read book Fractions, Decimals and Percentages written by Steve Mills and published by Ginn. This book was released on 1999 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: