Download or read book Math Skills Intervention Number Theory and Fraction Concepts Teacher s Edition 2003 written by Globe and published by Globe Fearon. This book was released on 2002-07-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Taylor & Francis. This book was released on 2022-07-29 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression—based on research conducted with hundreds of teachers—to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Routledge. This book was released on 2015-07-24 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Focus on Fractions is a groundbreaking effort to make the mathematics education research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K– 8 mathematics educators. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers’ experiences, this book equips educators with the knowledge and tools to reveal students’ thinking so that they can modify their teaching and improve student learning of fraction concepts. A Focus on Fractions 2nd edition includes sections on the Common Core State Standards for Mathematics and the Ongoing Assessment Project (OGAP) Fraction Framework integrated into each chapter as well as a new chapter on the OGAP Fraction Progression and how it can be used for formative assessment purposes. This updated edition assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings. Additional images and examples serve to flesh out and supplement the newly-introduced concepts in this updated and expanded edition. Special Features: Looking Back Questions at the end of each chapter provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students. Instructional Links help teachers relate concepts from the chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of fractions. Answer Key posted online offers extensive explanations of in-chapter questions. New sections devoted to the CCSSM and OGAP Fraction Progression are woven throughout the book as well as a new stand alone chapter on the OGAP Fraction Progression. The OGAP Fraction Framework is an all-new eResource, now available as a free download from the book’s website: www.routledge.com/9781138816442.
Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Routledge. This book was released on 2010-06-10 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Focus on Fractions is the first book to make cognitive research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K– 8 mathematics educators. This important resource assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings as well as common student misconceptions, errors, preconceptions, and partial understandings that may interfere with students learning. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers’ experiences, this book equips educators with knowledge and tools to reveal students’ thinking so that they can modify their teaching to improve student learning of fractions concepts. Special Features: End of Chapter Questions provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students. Instructional Links help teachers relate concepts from the chapter to their own instructional materials and programs. Big Ideas and Research Reviews frame the chapters and provide a platform for meaningful exploration of the teaching of fractions. Answer Key posted online offers extensive explanations of in-chapter questions. A Focus on Fractions bridges the gap between what mathematics education researchers have discovered about the learning of fraction concepts and what teachers need to know to make effective instructional decisions.
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 Strategies for Teaching Fractions written by David B. Spangler and published by Corwin Press. This book was released on 2011-08-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any way you slice it, fractions are foundational Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Pages for practicing alternative algorithms and estimation Teacher resources for hands-on activities, game sheets and pieces, and more Worksheets, answer keys, and online resources Each main unit, along with the sections on academic research and "Big Ideas," concludes with a set of teacher reflection questions for use in a professional development setting. Get ready, get set, and help your students tackle fractions with confidence!
Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2006-08-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Download or read book Unpacking Fractions written by Monica Neagoy and published by ASCD. This book was released on 2017-03-10 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions: Fractions play a key role in students' feelings about mathematics. Fractions are fundamental to school math and daily life. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.
Download or read book Interventions in Mathematics written by Tierney Kennedy and published by . This book was released on 2014-06-15 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractions is one concept that consistently proves difficult for students to understand. This intervention program has been designed as a targeted approach to catch kids up on multiple years of fraction concepts that ideally should have been developed in primary school, but which I have found are often missing for students in secondary school. Inside you will find diagnostic tasks to uncover misconceptions that are holding kids back from understanding fractions as well as lessons with unique confrontational questions to fix misconceptions for good. These lessons will show you how to lead kids to abandon their wrong ideas and figure out how fractions work for themselves so that they really understand them and don't forget what we are teaching.
Download or read book Early Fraction Learning written by Robert P. Hunting and published by . This book was released on 1991 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early Fraction learning is centrally of interest to students and researchersin mathematics education, tackling as it does one of that discipline's most vexing problems: why are fractions so difficult to learn and to teach?
Download or read book Uncomplicating Fractions to Meet Common Core Standards in Math K 7 written by Marian Small and published by Teachers College Press. This book was released on 2013 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical “doers.” In her new resource, professional developer Marian Small shows teachers how to uncomplicate the teaching of fractions by focusing on the most important fraction ideas that students need to grasp. The book is organized by grade level beginning with Grade 1, where the first relevant standard is found in the geometry domain, and ending with Grade 7, where the focus is on operations with rational numbers and proportional thinking. In each section the relevant standard is presented, followed by a discussion of important underlying ideas associated with that standard, as well as some thoughtful, concept-based questions that can be used for classroom instruction, practice, or assessment. Underlying ideas include: Background for the mathematics of the standard. Suggestions for appropriate representations for those specific mathematical ideas, including equations, drawings, and manipulatives. Suggestions for explaining ideas to students. Cautions about misconceptions or situations to avoid.This accessible book provides math teachers with support for differentiated instruction. Math coaches can use it to assist teachers with their transition to the Common Core State Standards. All teachers will find it helpful to see the mathematical fraction learning that precedes and follows the grades that they teach. It is also an excellent text for preservice teachers as they prepare themselves and their students to understand and teach math with a deep level of understanding. “Uncomplicating Fractions is a great resource that helps us understand how to teach and assess student learning of fractions. Marian Small truly ‘uncomplicates’ fractions by providing a resource that is practical and a must-have for all math coaches andevery K–7 teacher!” —Ruth Harbin Miles, board of directors, National Council of Teachers of Mathematics, Mary Baldwin College instructor “At all levels, this book advocates conceptual as well as procedural understandings such as why rational numbers must have repeating or terminating decimal representations. Every section has good questions to ask and grade-level summaries that provide excellent tools to help teachers recognize new ideas introduced at each grade level. I recommend this book for everyone teaching fractions.” —Carol Findell, Professor Emeritus, Mathematics Education, Boston University Marian Small is the former Dean of Education at the University of New Brunswick and longtime professor of mathematics education.
Download or read book Fractions and Decimals Teacher Edition written by Jeffrey L. Simpson and published by . This book was released on 2007-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fraction Addition Subtraction written by Allan D. Suter and published by Contemporary Books. This book was released on 1990-04 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly visual and active approach to introduce basic math concepts. Short simple lessons carefully designed to simultaneously build students' mastery and self-confidence while encouraging students to explore number relationships and to build a concrete understanding of mathematical operations, problem-solving, strategies, and real-life applications.
Download or read book Math Professional Development Grade 3 6 Binder Package Fraction Concepts written by Hsp and published by Harcourt School Publishers. This book was released on 2003-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Understanding Fractions written by Chet Delani and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: With explorations that go beyond the traditional `pieces of a pie', this series encourages students to work collaboratively to examine fractional relationships. They draw their own conclusions, devise their own rules and test them to see if they apply to all situations. Number theory, geometry, measurement and patterns and functions are embedded in these investigatory-style lessons. Students use visuals in Levels 1-2 and titles, pattern blocks and geometric cutouts in Levels 3-8. The lessons: reinforce mathematical writing and communication skills by asking students to provide answers in several different ways, strengthen reasoning and problem-solving skills with open-ended questions. Student books include: material list, 25 skill-based lessons, highlighted vocabulary words, 2 review quizzes and a final quiz, and a glossary of terms.
Download or read book Handbook of Response to Intervention written by Shane R. Jimerson and published by Springer. This book was released on 2015-09-21 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Edition of this essential handbook provides a comprehensive, updated overview of the science that informs best practices for the implementation of response to intervention (RTI) processes within Multi-Tiered Systems of Support (MTSS) to facilitate the academic success of all students. The volume includes insights from leading scholars and scientist-practitioners to provide a highly usable guide to the essentials of RTI assessment and identification as well as research-based interventions for improving students’ reading, writing, oral, and math skills. New and revised chapters explore crucial issues, define key concepts, identify topics warranting further study, and address real-world questions regarding implementation. Key topics include: Scientific foundations of RTI Psychometric measurement within RTI RTI and social behavior skills The role of consultation in RTI Monitoring response to supplemental services Using technology to facilitate RTI RTI and transition planning Lessons learned from RTI programs around the country The Second Edition of the Handbook of Response to Intervention is an essential resource for researchers, graduate students, and professionals/scientist-practitioners in child and school psychology, special and general education, social work and counseling, and educational policy and politics.
Download or read book International Handbook of Mathematics Teacher Education Volume 2 written by and published by BRILL. This book was released on 2019-12-16 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tools and Processes in Mathematics Teacher Education describes and analyze various promising tools and processes, from different perspectives, aimed at facilitating mathematics teacher learning/development. It provides insights of how mathematics teacher educators think about and approach their work with teachers.
