Download or read book The Development of Children s Fraction Thinking in a First grade Classroom written by Susan Carol Baker and published by . This book was released on 1994 with total page 404 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 Routledge. This book was released on 2015-07-24 with total page 208 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 Children s Reasoning While Building Fraction Ideas written by Carolyn A. Maher and published by Springer. This book was released on 2017-06-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions that supported investigation, collaboration and argumentation. It demonstrates with text and video narrative how young children can reason about mathematics in surprisingly sophisticated ways when provided the opportunity to do so in the proper classroom environment. In this volume, fourth grade students’ reasoning about fraction concepts is described through careful analysis and accompanying video excerpts showcasing the variety and originality of their thinking. These children will serve as an inspiration for educators to encourage the development of reasoning and argumentation in their students as part of a mathematics curriculum designed to produce critical thinkers.
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 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 Early Fraction Learning written by Robert P. Hunting and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 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 Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2020-03-23 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a user-friendly, conversational style, the fourth edition of this groundbreaking text helps pre-service and in-service mathematics teachers build the comfort and confidence they need to begin talking to children about fractions and ratios, distilling complex ideas and translating research into usable ideas for the classroom. For two decades, Teaching Fractions and Ratios for Understanding has pushed readers beyond the limits of their current understanding of fractions and rational numbers, challenging them to refine and explain their thinking without falling back on rules and procedures they have relied on throughout their lives. All of the material offered in the book has been used with students, and is presented so that readers can see the brilliance of their insights as well as the issues that challenge their understanding. Each chapter includes children’s strategies and samples of student work for teacher analysis, as well as activities for practicing each thinking strategy, designed to be solved without rules or algorithms, using reasoning alone. The fourth edition of this popular text has been updated throughout and includes new examples of student work, updated artwork, and more. As with previous editions, an equally valuable component of this text is the companion book MORE! Teaching Fractions and Ratios for Understanding (2012), a supplement that is not merely an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction explored here. MORE! includes in-depth discussions of selected problems in the main text, supplementary activities, Praxis preparation questions, more student work, and templates for key manipulatives.
Download or read book Charlie in Fraction City written by Lynda Brennan and published by Createspace Independent Publishing Platform. This book was released on 2017-09-07 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Charlie in Fraction City is written for teachers as an instructional tool for elementary-school-age students in kindergarten (when concepts are first introduced) through grade 5 (review of fraction concepts). The focus of the book is how various fractions are part of the whole unit. Visuals include the use of rectangles, both tall and wide, as well as circles and ways to divide them into fractions. The language is appropriate for second and third graders but can easily be read to younger students or used as an independent read for older students ... Additional supporting information offers a continuum of fractions as an overview by grade level, first to fifth, as well as examples of problems that align with the Common Core learning standards for teachers to review"--From www.nctm.org.
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 The Cambridge Handbook of Cognition and Education written by John Dunlosky and published by Cambridge University Press. This book was released on 2019-02-07 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.
Download or read book First Grade Bound written by and published by Carson-Dellosa Publishing. This book was released on 2015-03-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Grade Bound prepares children for first grade by reviewing skills and then building up to what they will likely learn in the grade ahead. This book includes basic, language arts, reading, and math skills. Skills include ABC order, synonyms and antonyms, parts of speech, comprehension, addition, subtraction, and fractions. Workbooks in the Bound series are designed to prepare children for the grade ahead. These comprehensive workbooks begin by reviewing skills that children have learned and gradually build up to skills that they will likely learn in the grade ahead. This series addresses important language arts, reading, math, and basic skills. The content covers many skills addressed in current state standards as well as other age-appropriate skills.
Download or read book First Grade Children s Self judgments of Their Mathematics Ability written by Natalie Lynn Bohlmann and published by . This book was released on 2007 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The results from this study suggest that the classroom environment plays an important role in the outcomes of children as they become mentally mature. Mentally mature children in classrooms where ability differences are made salient appear to be at greater risk for diminished views of their own ability. Furthermore, teacher expectations can be a powerful force in highly differentiating classrooms as students who are targets of high or low teacher expectations come to view themselves as more or less capable consistent with how they are viewed by their teacher. The level of community and warmth within the classroom, the degree to which public evaluations communicate fixed views of ability, and the perceived level of negative feedback and teacher control appear to be the most important classroom factors in shaping feelings of academic competence and incompetence.
Download or read book Money and Fractions Math Workbook for Kids 1st Grade written by Dorian Bright and published by . This book was released on 2021-05-05 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improve your child's success in class with lots of fraction's practice with Money and Fractions Math Workbook for Kids - 1st Grade. This workbook contains single, double digit fractions, counting and more. Work up an appetite for addition with these picture math worksheets, created to help 1st graders practice basic fraction. Money and Fractions Math Workbook for Kids - 1st Grade Features: - The workbook has over 100 worksheets. - It has a nice and large format (8.5 x 11 inches). - Designed for Grade 1. - Practice fractions in a fun way.
Download or read book Fractions Are for Sharing Math Books for Kids Grade 1 Children s Fraction Books written by Baby Professor and published by Baby Professor (Education Kids). This book was released on 2017-09-15 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning about fractions is one of the most difficult tasks for elementary students. That is why it is imperative your child is given more than enough time and resources to fully understand how fractions work. This book is for first graders, so you can expect the exercises to form just the foundation of the concept. Your child will find this book absolutely useful. Grab a copy today!
Download or read book Making Meaning for Operations written by Deborah Schifter and published by National. This book was released on 2016 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Handbook of Academic Learning written by Gary D. Phye and published by Elsevier. This book was released on 1997-01-08 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Academic Learning provides a comprehensive resource for educational and cognitive psychologists, as well as educators themselves, on the mechanisms and processes of academic learning. Beginning with general themes that cross subject and age level, the book discusses what motivates students to learn and how knowledge can be made personal for better learning and remembering. Individual chapters identify proven effective teaching methods for the specific domains of math, reading, writing, science, and critical problem solving, how students learn within those domains, and how learning can be accurately assessed for given domains and age levels. The Handbook takes a constructivist perspective to academic learning, emphasizing the construction of personal knowledge of an academic nature. Constructivism within the context of learning theory is viewed as involving an active learner that constructs an academic knowledge base through the development of cognitive strategies and metacognition. The book discusses the development of basic literacy skills that provide the foundation for higher order thinking and problem solving. Constructivism recognizes the social dimension of classroom learning and emphasizes the motivational elements of self-regulation and volition as essential learner characteristics. Written by authors who have first-hand experience with both theory development and the development of authentic classroom instructional techniques, the Handbook empowers educators to develop, implement, and field-test authentic instructional practices at their school site. The book provides a review of the literature, theory, research, and skill techniques for effective teaching and learning. Identifies effective teaching with specific techniques Covers elementary school through high school Discusses teaching methods for all main subject areas: reading, writing, math, science, and critical thinking Identifies how students learn to learn Reviews theory, research, techniques, and assessment Contains field tested examples for the educational professional at the school site Provides a resource for staff development
