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Author : Leen Streefland
Publisher : Springer Science & Business Media
ISBN 13 : 9401131686
Total Pages : 362 pages
Book Rating : 4.4/5 (11 download)
Download or read book Fractions in Realistic Mathematics Education written by Leen Streefland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marja van den Heuvel-Panhuizen
Publisher : Springer
ISBN 13 : 3030202232
Total Pages : 369 pages
Book Rating : 4.0/5 (32 download)
Download or read book International Reflections on the Netherlands Didactics of Mathematics written by Marja van den Heuvel-Panhuizen and published by Springer. This book was released on 2019-08-13 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.
Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 1317597303
Total Pages : 208 pages
Book Rating : 4.3/5 (175 download)
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.
Author : Marjorie M. Petit
Publisher : Taylor & Francis
ISBN 13 : 1000601994
Total Pages : 231 pages
Book Rating : 4.0/5 (6 download)
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.
Author : Robert P. Hunting
Publisher : Springer Science & Business Media
ISBN 13 : 1461231949
Total Pages : 300 pages
Book Rating : 4.4/5 (612 download)
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?
Author : Tassos Barkatsas
Publisher : Springer
ISBN 13 : 946300761X
Total Pages : 306 pages
Book Rating : 4.4/5 (63 download)
Download or read book Global Learning in the 21st Century written by Tassos Barkatsas and published by Springer. This book was released on 2016-10-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 21st century, technological and social changes have never been as rapid as before, and educative practices must evolve and innovate to keep up. What is being done by educators today to prepare future global citizens? What are the skills and competencies that will be required by our students? What changes in how we approach education might need to be made? This book presents a modern focus on some significant issues in teaching, learning, and research that are valuable in preparing students for the 21st century. The book discusses these issues in four sections. The first section presents contemporary, innovative curriculum and pedagogical practices that are relevant for the 21st century. This also includes how social networking has an integrated role within current educative practice. The next section then explores issues and current research around motivation and engagement, and how these are changing in this era of technological and social change. The third section presents debates around inclusion and social contexts, both global and local. Finally, the fourth section explores current discourses in regard to internationalisation and globalisation and how these are being considered in educational research. The book is an important representation of some of the work currently being done for these rapidly changing times. It will appeal to academics, researchers, teacher educators, educational administrators, teachers and anyone interested in preparing students for a modern and globally interconnected world.
Author : Susan J. Lamon
Publisher : Routledge
ISBN 13 : 1135606773
Total Pages : 280 pages
Book Rating : 4.1/5 (356 download)
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 280 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.
Author : Stephen Lerman
Publisher : Springer
ISBN 13 : 9783030157883
Total Pages : 916 pages
Book Rating : 4.1/5 (578 download)
Download or read book Encyclopedia of Mathematics Education written by Stephen Lerman and published by Springer. This book was released on 2020-02-07 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.
Author : Magdalene Lampert
Publisher : Cambridge University Press
ISBN 13 : 9780521621366
Total Pages : 280 pages
Book Rating : 4.6/5 (213 download)
Download or read book Talking Mathematics in School written by Magdalene Lampert and published by Cambridge University Press. This book was released on 1998-10-13 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics in K-12 classrooms is changing. New curricula and methods engage learners in working on real problems. An essential feature of this work involves teacher and students in "talking mathematics". How can students learn to do this kind of talking? What can they learn from doing it? This book addresses these questions by looking at the processes of formulating problems, interpreting contexts in which problems arise, and arguing about the reasonableness of proposed solutions. The studies in this volume seek to retain the complexity of classroom practice rather than looking at it through a particular academic lens.
Author : Marja Van den Heuvel-Panhuizen
Publisher : Springer Nature
ISBN 13 : 303033824X
Total Pages : 348 pages
Book Rating : 4.0/5 (33 download)
Download or read book National Reflections on the Netherlands Didactics of Mathematics written by Marja Van den Heuvel-Panhuizen and published by Springer Nature. This book was released on 2020-01-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.
Author : Frans van Galen
Publisher : BRILL
ISBN 13 : 9460911420
Total Pages : 163 pages
Book Rating : 4.4/5 (69 download)
Download or read book Fractions, Percentages, Decimals and Proportions written by Frans van Galen and published by BRILL. This book was released on 2008-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the field of fractions, percentages, decimals and proportions. It shows the relations between these topics, and how they can be taught in a way that emphasizes these relations.
Author : Monica Neagoy
Publisher : ASCD
ISBN 13 : 1416621253
Total Pages : 301 pages
Book Rating : 4.4/5 (166 download)
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.
Author : Amy J. Hackenberg
Publisher : SAGE
ISBN 13 : 147398761X
Total Pages : 347 pages
Book Rating : 4.4/5 (739 download)
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 347 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.
Author : Ana Helvia Quintero
Publisher : World Scientific
ISBN 13 : 1783268662
Total Pages : 292 pages
Book Rating : 4.7/5 (832 download)
Download or read book Math Makes Sense! written by Ana Helvia Quintero and published by World Scientific. This book was released on 2016-03-02 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics. Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding. The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers. Contents:PrefaceAcknowledgmentsAbout the AuthorsFostering the Learning of MathematicsConstruction of Concepts and Mathematical InterpretationsNumberingAddition and SubtractionMultiplication and DivisionFractions, Decimals, and PercentagesMeasurementExploring SpaceProbability and StatisticsPatterns, Relations, and FunctionsThe Joy of PuzzlesTechnology: A Tool for Analysis and InterpretationAssessmentConcluding Remarks Readership: Teachers, trainee teachers, researchers interested in mathematics education, homeschool parents, and parents with children in primary/ elementary school. Key Features:This book is grounded on solid mathematics learning research, as well as on the authors' own observations in the classroom, and so combines theoretical knowledge with practiceWritten in an accessible mannerGives educators ideas which they can easily implement in the classroom
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Publisher : BRILL
ISBN 13 : 9087903952
Total Pages : 255 pages
Book Rating : 4.0/5 (879 download)
Download or read book Children Learn Mathematics written by and published by BRILL. This book was released on 2008-01-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improving the quality of education is an important endeavor of educational policy and TAL aims to contribute to this. TAL is a project initiated by the Dutch Ministry of Education, Culture and Sciences, and carried out by the Freudenthal Institute (FI) of Utrecht University and the Dutch National Institute for Curriculum Development (SLO), in collaboration with the Rotterdam Center for Educational Services (CED). The quality of education can be improved in many ways. TAL proposes to do this by providing insights into the broad outline of the learning-teaching process and its internal coherence. It aims to be a support for teachers alongside mathematics textbook series. Furthermore, TAL can provide extra support for teachers if it is incorporated into a circle of implementation.
Author : John Mason
Publisher : Routledge
ISBN 13 : 1134536593
Total Pages : 287 pages
Book Rating : 4.1/5 (345 download)
Download or read book Researching Your Own Practice written by John Mason and published by Routledge. This book was released on 2002-11 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers need to develop the art of noticing if they are to improve their practice and undertake successful research in their classrooms.
Author : Shannon W. Dingman
Publisher : BRILL
ISBN 13 : 9004412654
Total Pages : 140 pages
Book Rating : 4.0/5 (44 download)
Download or read book The Language of Mathematics Education written by Shannon W. Dingman and published by BRILL. This book was released on 2019-08-26 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Language of Mathematics Education: An Expanded Glossary of Key Terms and Concepts in Mathematics Teaching and Learning offers mathematics teachers, mathematics education professionals and students a valuable resource in which common terms are defined and expounded upon in short essay format. The shared vocabulary and terminology relating to mathematics teaching and learning, and used by mathematics educators is an essential component of work conducted in the field. The authors provide an overview of more than 100 terms commonly used in mathematics teaching and learning. Each term is defined and is followed by a short overview of the concept under discussion that includes several bibliographic references the reader can use for further investigation. In addition to terms specific to the domain of mathematics education, select key terms common across all fields of education (e.g., curriculum, epistemology, metacognition) are included. The goal for this book is to serve as a resource for those entering the field as they navigate the language and terminology of mathematics education and as an asset for more established professionals who wish to gain additional insights into these ideas.
