The Meaning Of Fractions
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The Meaning Of Fractions And Rational Numbers
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Author :
language : en
Publisher: HarperCollins College
Release Date : 1975-01-01
The Meaning Of Fractions And Rational Numbers written by and has been published by HarperCollins College this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Fractions categories.
The Meaning Of Fractions
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Author : Allan D. Suter
language : en
Publisher: Contemporary Books
Release Date : 1990-04-01
The Meaning Of Fractions written by Allan D. Suter and has been published by Contemporary Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-01 with Mathematics categories.
Number Sense Fractions The Meaning Of Fractions
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Author : Contemporary
language : en
Publisher: McGraw-Hill Education
Release Date : 2003-04-08
Number Sense Fractions The Meaning Of Fractions written by Contemporary and has been published by McGraw-Hill Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-08 with Mathematics categories.
Contemporary's popular Number Sense mathematics series has been updated! Number Sense encourages students to explore number relationships to build a concrete understanding of mathematical operations, problem-solving strategies, and real-life applications. Each text uses a highly visual and active approach to introduce basic mathematics concepts. Each lesson is carefully designed to simultaneously build students' mastery and self-confidence. Each text illustrates a basic math skill with a step-by-step approach, and follows with lots of practice.
The Meaning Of Fractions By Harry O Gillet Orville T Bright And Carleton Washburne
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Author : Carleton Washburne
language : en
Publisher:
Release Date : 1983
The Meaning Of Fractions By Harry O Gillet Orville T Bright And Carleton Washburne written by Carleton Washburne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Arithmetic categories.
Children S Quantitative Sense Of Fractions
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Author : Peter John Gould
language : en
Publisher:
Release Date : 2008
Children S Quantitative Sense Of Fractions written by Peter John Gould and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Fractions categories.
Learning the meaning of common fractions and how to operate with them is a traditionally difficult aspect of learning mathematics. The symbol system used to represent fractions, one whole number written above another whole number, is not transparent to the meaning of fractions. This difficulty of interpreting fractions contributes to traditional practice in teaching fractions emphasising the syntax of fractions over their semantics. Without a sense of the size of fractions students must rely solely on learning the fraction syntax, as there is no feasible way of checking the reasonableness of an answer. -- To investigate how well students had developed a sense of the size of fractions, a large cross-section of students from Years 4-8 (over 300 students in each grade) completed 37 tasks designed to draw upon a quantitative sense of fractions. The students' answers provided data for both a conceptual analysis and a related Rasch item analysis. The conceptual analysis found that although some studnets have a strong sense of the size of fractions, many students have developed pseudo fraction concepts. Rather than seeing fractions as relational numbers, more than 10% of the students responded as if fractions corresponded to a count of the number of parts in fraction representation. Questions involving the fraction notation increased the variety of incorrect interpretations of fractions. The Rasch analysis confirmed that the items related to the same trait and provided an ordering of the difficulty of the questions. The Rasch item map provided backing for a description of how students develop a sense of the size of fractions. -- The current methods of developing students' understanding of fractions have resulted in a large number of pseudo concepts being formed. The basis of making meaning from models used to introduce fractions, needs to be the focus of teaching fractions. As well as using counter-example to limit the number of unintended features of models students associate with fractions, comparison of length rather than area should be used to introduce fractions.
A Focus On Fractions
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Author : Marjorie M. Petit
language : en
Publisher: Routledge
Release Date : 2015-07-24
A Focus On Fractions written by Marjorie M. Petit and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-24 with Education categories.
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.
Fractions A Teacher S Manual Of Objective And Oral Work 1891
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Author : Helen F. Page
language : en
Publisher:
Release Date : 2008-06-01
Fractions A Teacher S Manual Of Objective And Oral Work 1891 written by Helen F. Page and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-01 with categories.
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Unpacking Fractions
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Author : Monica Neagoy
language : en
Publisher: ASCD
Release Date : 2017-03-10
Unpacking Fractions written by Monica Neagoy and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-10 with Education categories.
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.
Comparing Textbook And Laboratory Approaches In Developing Meaning Of Fractions
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Author : Carolyn Reynolds
language : en
Publisher:
Release Date : 1974
Comparing Textbook And Laboratory Approaches In Developing Meaning Of Fractions written by Carolyn Reynolds and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Fractions categories.
Maths Practice Book Grade 3 Fractions Rounding
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Author : Bhawna Goel
language : en
Publisher: Learning Fountain
Release Date : 2023-08-07
Maths Practice Book Grade 3 Fractions Rounding written by Bhawna Goel and has been published by Learning Fountain this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-07 with Education categories.
The Grade 3 Fractions and Rounding Workbook is a comprehensive learning resource designed to introduce and strengthen foundational skills in fractions and rounding for third-grade students. This workbook offers a systematic and engaging approach to understanding and applying these essential mathematical concepts. Divided into two sections, fractions and rounding, this workbook provides a structured learning experience that allows students to build a solid foundation in these fundamental areas of mathematics. The fractions section begins with an introduction to the concept of fractions, teaching students to recognize and understand the meaning of numerator and denominator. Through a series of carefully crafted exercises, students progress from identifying fractions to handling numerator and denominator. The workbook incorporates different visual models, such as pie charts and colourful objects, to help students visualize and grasp the concept of fractions more easily. The rounding section focuses on developing students' skills in rounding whole numbers to the nearest tens and hundreds. Through variety of practice problems, students learn to identify place values and apply rounding rules to determine the nearest whole number. Key features of the workbook include: * 76 unique worksheets * Covers topics like, names of fractions, identification of fractions, numerators and denominators, * Rounding the numbers to the nearest 10 and 100 * A variety of practice problems to reinforce key fraction & decimals concepts. * Gradually increasing complexity of problems to provide opportunities for students to build confidence and deepen their understanding of fractions and rounding. * Answer keys for all problems, allowing students to check their work and learn from their mistakes. With clear instructions and a variety of exercises, this workbook ensures that students progress at their own pace and develop a strong foundation in fractions and rounding. The colourful illustrations and engaging visuals make the learning experience enjoyable and accessible for young learners. The Grade 3 Fractions and Rounding Workbook is an invaluable resource for teachers, parents, and homeschooling educators who aim to provide comprehensive support to their third-grade students in mastering fractions and rounding. By building a solid understanding of these concepts, students develop essential mathematical skills that will serve as a solid foundation for future learning in more advanced math topics.