Making Sense Of Fractions Ratios And Proportions
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Making Sense Of Fractions Ratios And Proportions
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Author : Bonnie H. Litwiller
language : en
Publisher:
Release Date : 2002
Making Sense Of Fractions Ratios And Proportions written by Bonnie H. Litwiller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Education categories.
Excellent resource for mathematics educators that emphasizes the importance of understanding fractions, ratios, and proportions as early as elementary school. Also provides classroom challenges.
Making Sense Of Fractions
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Author : Randy Palisoc
language : en
Publisher: CreateSpace
Release Date : 2014-08-06
Making Sense Of Fractions written by Randy Palisoc and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-06 with categories.
Frustrated with fractions? They're easier than you think. Fractions have been given a bad rap. Understanding fractions is essential in math, yet too many students struggle to make sense of them. Even if students have performed well in math early in elementary school, they seem to hit a brick wall when it comes the "abstract" concepts involved with fractions. This is how Making Sense of Fractions helps. This unit challenges the long-held assumption that fractions are difficult because they're abstract. Fractions are actually more concrete and more logical than most people realize. Making Sense of Fractions helps students make these realizations, and it has a different philosophy from past approaches. This unit explains fractions in a more concrete way that makes logical sense to students (and to adults), making fractions easier to learn than before. Essential concepts include: * Simplifying Fractions * Adding Fractions * Subtracting Fractions * Multiplying Fractions * Dividing Fractions * Improper Fractions and Mixed Numbers * GCF (Greatest Common Factor) and LCM (Lowest Common Multiple)
Classroom Activities For Making Sense Of Fractions Ratios And Proportions
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Author : George W. Bright
language : en
Publisher:
Release Date : 2002
Classroom Activities For Making Sense Of Fractions Ratios And Proportions written by George W. Bright and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Fractions categories.
Provides sample activities that illustrate basic ideas of proportional reasoning, spanning grades K-12.
Making Sense Of Proportions
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Author : Randy Palisoc
language : en
Publisher: CreateSpace
Release Date : 2014-08-14
Making Sense Of Proportions written by Randy Palisoc and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-14 with categories.
Proportions cause great confusion for many students. This is troubling because proportional relationships run deep into the heart of math, laying the foundation for many other concepts. For example, concepts such as speed (i.e., meters per second), density (grams per cubic centimeter), and concentration (parts per million) all involve proportional relationships. If students do not understand proportions, they will have difficulty understanding algebra. On the other hand, if students can make sense of proportions, it gives them an advantage when learning algebra. This is where Making Sense of Proportions helps. This unit is designed to help students set up and see proportional relationships more clearly and easily (using the Magic Formula), and it teaches in a way that makes logical sense to them. Additionally, this unit shows students exactly how ratios, rates, and proportional relationships run deep into the heart of math. It introduces students to concepts such as constant speed and graphing of linear equations.
Putting Essential Understanding Of Ratios And Proportions Into Practice In Grades 6 8
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Author : Travis Olson
language : en
Publisher: National Council of Teachers of English
Release Date : 2015
Putting Essential Understanding Of Ratios And Proportions Into Practice In Grades 6 8 written by Travis Olson and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Ratio and proportion categories.
Focuses on the specialized pedagogical content knowledge that you need to teach ratios and proportions effectively in grades 6-8. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with ratios and proportions.
Teaching Fractions And Ratios For Understanding
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Author : Susan J. Lamon
language : en
Publisher: Routledge
Release Date : 2006-08-15
Teaching Fractions And Ratios For Understanding written by Susan J. Lamon and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-15 with Education categories.
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.
Strategies For Teaching Fractions
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Author : David B. Spangler
language : en
Publisher: Corwin Press
Release Date : 2011-08-17
Strategies For Teaching Fractions written by David B. Spangler and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-17 with Education categories.
Any way you slice it, fractions are foundational Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Pages for practicing alternative algorithms and estimation Teacher resources for hands-on activities, game sheets and pieces, and more Worksheets, answer keys, and online resources Each main unit, along with the sections on academic research and "Big Ideas," concludes with a set of teacher reflection questions for use in a professional development setting. Get ready, get set, and help your students tackle fractions with confidence!
Teaching Learners Who Struggle With Mathematics
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Author : Helene J. Sherman
language : en
Publisher: Waveland Press
Release Date : 2015-06-11
Teaching Learners Who Struggle With Mathematics written by Helene J. Sherman and has been published by Waveland Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-11 with Education categories.
The authors provide pre- and inservice K–6 mathematics teachers with a complete array of tools and strategies, chief among which is Response To Instruction, to help identify learners’ skill levels and target instruction to meet each learner’s needs. Foundational to this learner-centered approach are the guidelines presented in the Common Core State Standards and the principles and standards developed by the National Council of Teachers of Mathematics. Each chapter deals with a different mathematics topic—from place value to problem solving. The case study format and inclusion of student examples promote a sound understanding of learners’ varied cognitive, behavioral, and physical needs—essential knowledge for designing appropriate teaching strategies. Also included is a variety instructional activities that can easily be implemented in the classroom.
Ratio And Proportion
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Author : David Ben-Chaim
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-30
Ratio And Proportion written by David Ben-Chaim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-30 with Education categories.
Ratio and Proportion—Research and Teaching in Mathematics Teachers’ Education offers its readers an intellectual adventure where they can acquire invaluable tools to turn teaching ratio and proportion to professionals and school children into an enjoyable experience. Based on in-depth research, it presents a deep, comprehensive view of the topic, focusing on both the mathematical and psychological-didactical aspects of teaching it. The unique teaching model incorporates both theoretical and practical knowledge, allowing instructors to custom-design teacher courses according to their speci?c needs. The book reports on hands-on experience in the college classes plus teachers’ experience in the actual classroom setting. An important feature is the extensive variety of interesting, meaningful authentic activities. While these activities are on a level that will engage pre- and in-service mathematics teachers in training, most can also be utilized in upper elementary and middle school classes. Accompanying the majority of these activities are detailed remarks, explanations, and solutions, along with creative ideas on how to conduct and expand the learning adventure. While primarily written for educators of mathematics teachers, this book can be an invaluable source of information for mathematics teachers of elementary and middle school classes, pre-service teachers, and mathematics education researchers.
Beliefs And Attitudes In Mathematics Education
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Author : Jürgen Maasz
language : en
Publisher: BRILL
Release Date : 2019-02-11
Beliefs And Attitudes In Mathematics Education written by Jürgen Maasz and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-11 with Education categories.
Tina Besley has edited this collection which examines and critiques the ways that different countries, particularly Commonwealth and European states, assess the quality of educational research in publicly funded higher education institutions. Such assessment often ranks universities, departments and even individual academics, and plays an important role in determining the allocation of funding to support university research.