Developing Fractions Knowledge

Developing Fractions Knowledge

PDF Developing Fractions Knowledge Download

  • Author: Amy J. Hackenberg
  • Publisher: SAGE
  • ISBN: 1473986850
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 225

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.


Developing Fractions Knowledge

Developing Fractions Knowledge

PDF Developing Fractions Knowledge Download

  • Author: Amy J. Hackenberg
  • Publisher: SAGE
  • ISBN: 147398761X
  • Category : Education
  • Languages : en
  • Pages : 347

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.


Children's Fractional Knowledge

Children's Fractional Knowledge

PDF Children's Fractional Knowledge Download

  • Author: Leslie P. Steffe
  • Publisher: Springer Science & Business Media
  • ISBN: 144190591X
  • Category : Education
  • Languages : en
  • Pages : 379

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.


Learning to Use Fractions After Learning about Fractions

Learning to Use Fractions After Learning about Fractions

PDF Learning to Use Fractions After Learning about Fractions Download

  • Author: Debra Johanning
  • Publisher:
  • ISBN:
  • Category : Decimal fractions
  • Languages : en
  • Pages : 444


Developing Deep Knowledge in Middle School Mathematics

Developing Deep Knowledge in Middle School Mathematics

PDF Developing Deep Knowledge in Middle School Mathematics Download

  • Author: Sergei Abramovich
  • Publisher: Springer Nature
  • ISBN: 3030685640
  • Category : Education
  • Languages : en
  • Pages : 451

This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.


Handbook of Research on User Interface Design and Evaluation for Mobile Technology

Handbook of Research on User Interface Design and Evaluation for Mobile Technology

PDF Handbook of Research on User Interface Design and Evaluation for Mobile Technology Download

  • Author: Lumsden, Joanna
  • Publisher: IGI Global
  • ISBN: 1599048728
  • Category : Computers
  • Languages : en
  • Pages : 1166

"This book compiles authoritative research from scholars worldwide, covering the issues surrounding the influx of information technology to the office environment, from choice and effective use of technologies to necessary participants in the virtual workplace"--Provided by publisher.


Early Fraction Learning

Early Fraction Learning

PDF Early Fraction Learning Download

  • Author: Robert P. Hunting
  • Publisher: Springer Science & Business Media
  • ISBN: 1461231949
  • Category : Education
  • Languages : en
  • Pages : 236

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?


Developing Distributed Curriculum Leadership in Hong Kong Schools

Developing Distributed Curriculum Leadership in Hong Kong Schools

PDF Developing Distributed Curriculum Leadership in Hong Kong Schools Download

  • Author: Edmond Hau-fai Law
  • Publisher: Routledge
  • ISBN: 1317512405
  • Category : Education
  • Languages : en
  • Pages : 249

The book aims to explore distributed leadership in developing curriculum innovations in schools with a target of bringing about theoretical underpinnings in the West with the empirical studies and practices in the East. It examines theoretically the roots of the curriculum leadership studies and practically with the empirical data and case studies in Hong Kong which has been considered a melting pot of the Western concepts and innovations in a land of Eastern cultures. The examination is framed within theoretical frameworks of activity theories, discourse analysis and social network systems. The findings will show the impact of the cultural traditions of Eastern countries in the mediation of the direction of the discourses in teacher meetings and the effectiveness of decision making in the processes of developing school based curriculum leadership. The book is theoretically exploratory with practically examined practices for educational leaders like schools headers and department leaders as well as teachers who aim at asserting greater influence in the educational decision making processes. Topics discussed in the book include: Curriculum leadership functions and patterns of leadership distribution Engaging teachers in reflective practice: tensions between ideological orientations and pragmatic considerations Models of distributed leadership: focus, development and future Initiating, designing and enacting curriculum innovations: procedures and processes This book will appeal to researchers interested in Curriculum Studies, School leadership and comparative education. Those who studies the theory of education and Asian education will also find this book valuable.


A Focus on Fractions

A Focus on Fractions

PDF A Focus on Fractions Download

  • Author: Marjorie M. Petit
  • Publisher: Routledge
  • ISBN: 131759729X
  • Category : Education
  • Languages : en
  • Pages : 194

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.


The Development of Children's Fraction Thinking in a First-grade Classroom

The Development of Children's Fraction Thinking in a First-grade Classroom

PDF The Development of Children's Fraction Thinking in a First-grade Classroom Download

  • Author: Susan Carol Baker
  • Publisher:
  • ISBN:
  • Category :
  • Languages : en
  • Pages : 404