The Development of Children's Fraction Thinking in a First-grade Classroom
Author: Susan Carol Baker
Publisher:
Published: 1994
Total Pages: 404
ISBN-13:
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A Focus on Fractions
Author: Marjorie M. Petit
Publisher: Routledge
Published: 2015-07-24
Total Pages: 208
ISBN-13: 1317597303
DOWNLOAD EBOOKA 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.
Extending Children's Mathematics
Author: Susan B. Empson
Publisher: Heinemann Educational Books
Published: 2011
Total Pages: 0
ISBN-13: 9780325030531
DOWNLOAD EBOOK"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.
Handbook of Academic Learning
Author: Gary D. Phye
Publisher: Elsevier
Published: 1997-01-08
Total Pages: 633
ISBN-13: 0080532934
DOWNLOAD EBOOKThe 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
Early Algebraization
Author: Jinfa Cai
Publisher: Springer Science & Business Media
Published: 2011-02-24
Total Pages: 631
ISBN-13: 3642177352
DOWNLOAD EBOOKIn this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.
Emerging Research, Practice, and Policy on Computational Thinking
Author: Peter J. Rich
Publisher: Springer
Published: 2017-04-24
Total Pages: 423
ISBN-13: 331952691X
DOWNLOAD EBOOKThis book reports on research and practice on computational thinking and the effect it is having on education worldwide, both inside and outside of formal schooling. With coding becoming a required skill in an increasing number of national curricula (e.g., the United Kingdom, Israel, Estonia, Finland), the ability to think computationally is quickly becoming a primary 21st century “basic” domain of knowledge. The authors of this book investigate how this skill can be taught and its resultant effects on learning throughout a student's education, from elementary school to adult learning.
Dissertation Abstracts International
Author:
Publisher:
Published: 2007
Total Pages: 652
ISBN-13:
DOWNLOAD EBOOKChildren's Fractional Knowledge
Author: Leslie P. Steffe
Publisher: Springer Science & Business Media
Published: 2009-12-02
Total Pages: 379
ISBN-13: 144190591X
DOWNLOAD EBOOKChildren’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.
The Schools Our Children Deserve
Author: Alfie Kohn
Publisher: Houghton Mifflin Harcourt
Published: 1999
Total Pages: 356
ISBN-13: 9780618083459
DOWNLOAD EBOOKArguing against the tougher standards rhetoric that marks the current education debate, the author of No Contest and Punished by Rewards writes that such tactics squeeze the pleasure out of learning. Reprint.
Readings on the Development of Children
Author: Mary Gauvain
Publisher: Macmillan
Published: 2008-11-21
Total Pages: 370
ISBN-13: 9781429216494
DOWNLOAD EBOOK"This collection of readings can be used as a superb supplement in child and adolescent development courses or as the primary text in graduate-level seminars. The new edition offers 36 readings, 12 new to the collection."--Publisher's website.
