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 Early Fraction Learning written by Robert P Hunting and published by . This book was released on 1991-10-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 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 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: 1. Fractions play a key role in students’ feelings about mathematics. 2. Fractions are fundamental to school math and daily life. 3. 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 Developing Fractions Knowledge written by Amy J. Hackenberg and published by SAGE. This book was released on 2016-07-21 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.
Download or read book Early Math written by Steck-Vaughn and published by Steck-Vaughn Company. This book was released on 2005 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early Math fractions I gives students practice in identifying regions divided into equal parts.
Download or read book My Family Reunion written by Christine Clement and published by The Rosen Publishing Group, Inc. This book was released on 2010-01-01 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: BookMath that students can relate to!This full-color, photo-illustrated math reader seamlessly integrates Math with the curriculum areas of Science and Social Studies. Grab your students' attention and inspire a love of Math and of learning.
Download or read book Let s Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Children s Fractional Knowledge written by Leslie P. Steffe and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children’s Fractional Knowledge elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to relate parts to a whole, to produce a fraction as a multiple of a unit part, to transform a fraction into a commensurate fraction, or to combine two fractions multiplicatively or additively. These case studies provide a singular journey into children’s mathematics experience, which often varies greatly from that of adults. Moreover, the authors’ descriptive terms reflect children’s quantitative operations, as opposed to adult mathematical phrases rooted in concepts that do not reflect—and which in the classroom may even suppress—youngsters’ learning experiences. Highlights of the coverage: Toward a formulation of a mathematics of living instead of being Operations that produce numerical counting schemes Case studies: children’s part-whole, partitive, iterative, and other fraction schemes Using the generalized number sequence to produce fraction schemes Redefining school mathematics This fresh perspective is of immediate importance to researchers in mathematics education. With the up-close lens onto mathematical development found in Children’s Fractional Knowledge, readers can work toward creating more effective methods for improving young learners’ quantitative reasoning skills.
Download or read book Developing Fractions Knowledge written by Amy J. Hackenberg and published by SAGE. This book was released on 2016-07-21 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.
Download or read book Quantitative Development in Infancy and Early Childhood written by Kelly S. Mix and published by Oxford University Press. This book was released on 2002-04-04 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to define and discuss the key issues raised by new findings in the study of quantitative development. One basic question addressed is how the abilities reported in infants and young children relate to later development. In some accounts, one is left with the impression that infants possess all the fundamental skills that make up mature quantitative reasoning. According to this view, subsequent development seems to consist of little more than the gradual expression of these skills in increasing complex and explicit tasks. This is a major departure from previously held views of quantitative development, such as that of Piaget. To evaluate these new claims, authors will first review the abilities attributed to infants and then define the parameters of early childhood competencies. Comparing the two developmental periods, the authors will evaluate the finding, discuss the transition between these age periods, and offer a framework for understanding later development of quantitative skills, such as counting and calculation. Underlying the argument throughout will be an examination of the nativist versus empiricist debate that has taken center stage in infancy research.
Download or read book What Children Can Teach Adults About Mathematics written by Robert P Hunting and published by PALM-Ed Pty Ltd. This book was released on 2013-10-29 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ways adults think about mathematics and the ways children think about mathematics are not necessarily the same. Listening, observing, and talking with children is necessary so that teachers, parents, and carers can figure out where they are coming from mathematically. If children’s mathematics encompasses their own meanings and understandings, and those meanings and understandings may be different to mine, then to provide effective assistance and support, I must make every effort to see mathematics from their perspective. In this book I highlight important aspects of children’s beginning understandings of mathematics, illustrated with examples taken from observations of children. In Chapter 1 I discuss the origins of mathematics in infants with illustrations provided from three major strands of mathematics: number, space, and measurement. In Chapter 2 I give examples of different ways young children use fingers in their efforts to solve simple mathematical problems, looking in detail at one child’s behavior. Chapter 3 focuses on a 4-year-old’s views about numbers. There is a commonly held belief that before children start school they have not really thought about numbers; that young children’s mathematical minds are a blank slate. Nothing could be further from the case. In Chapter 4 I discuss the topic of counting, focusing firstly on the spontaneous counting behavior of a 4-year-old, followed by interviews that further reveal how his knowledge of numbers and counting are related. Chapter 5 further discusses how children learn about numbers; in particular the various conceptions children have of the number 10. I explain the significance of part-whole knowledge in children’s numerical thinking in Chapter 6, with examples taken from preschool, the 2nd grade, and 5th grade. Chapter 7 is about sharing, its origins, contexts when sharing arises, types of sharing, and the relationship between sharing and counting, sharing and division, and sharing as a platform for learning fractions. In Chapter 8 I begin by discussing early geometric ideas, including basic operations for moving items in two dimensions, followed by three-dimensional activities. I discuss the key notion of conservation of quantity and conclude with comments about scale and distance. Chapter 9 begins with the question “What is measurement?” I discuss the issue of measurement error, then sketch out a general development of measurement thinking. Types of conservation are described, as are unit systems. Finally, children’s thinking in area situations, including common misconceptions, are discussed. In Chapter 10, after a story showing how fractions can be introduced naturally, I focus on the fraction knowledge of an 11-year-old, who responded to a range of tasks designed to tease out this child’s conceptual understanding of fractions.
Download or read book Research in Mathematics Education in Australasia 2008 2011 written by Bob Perry and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eighth edition of the four-yearly review of mathematics education research in Australasia. Commissioned by the Mathematics Education Research Group of Australasia (MERGA), this review critiques the most current Australasian research in mathematics education in the four years from 2008-2011. The main objective of this review is to celebrate and recognise significant findings; highlight relationships between research; identify themes; and forecast further research directions. This theme-based review has produced a comprehensive analysis of Australasian research in a politically challenging time—producing a manuscript with implications for a wider, international, audience. As the 2009 Felix Klein medal winner Gilah Leder states: A substantial body of research is captured in the chapters of this review. It encompasses the labours of a community of active researchers, with varied interests and diverse theoretical perspectives. Some of the issues explored in the period covered by this volume clearly resonate with questions and concerns particularly pertinent to the changing educational environment; others are more aptly described as continuing or renewed explorations of areas of long standing concern.
Download or read book Math Mammoth Introduction to Fractions written by Maria Miller and published by . This book was released on 2024-04-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math Mammoth Introduction to Fractions contains lessons for fraction arithmetic for grades 1-4. This material does not include division or multiplication of fractions, nor adding unlike fractions, which are topics for 5th and 6th grades. Also, most of the material here is for 3rd and 4th grades, and only a few lessons are meant for grades 1-2. The topics covered are on a simple level, constantly illustrated with visual models, and with small denominators. The presentation avoids spelling out specific rules for manipulating fractions, but instead relies on the usage of pictures on a very concrete level. Children easily confuse the various rules for fraction arithmetic, because there are so many. There is a place for the rules, as shortcuts for ideas that are already understood, but we do not start with them. The goal is to let the big ideas sink in conceptually first, followed by some shortcuts. The topics covered are one half and one fourth concept of a fraction concept of a mixed number comparing fractions equivalent fractions adding and subtracting like fractions adding and subtracting mixed numbers with like fractional parts adding one fraction that has tenths and another that has hundredths (such as 3/10 + 7/100) multiplying a fraction by a whole number The lessons are organized by topic, not by increasing difficulty. For reference, 1st grade students study only the concept of one half and one fourth. In 2nd grade, they study the concept of a fraction and optionally the easiest (first) lesson on comparing fractions. In 3rd grade, students study the concept of a fraction, fractions on a number line, comparing fractions, and equivalent fractions. Then in 4th, they study mixed numbers, comparing fractions, equivalent fractions, adding and subtracting fractions and mixed numbers, and multiplying fractions by whole numbers. The answers are appended.
