A Focus On Ratios And Proportions

Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 1000071448
Total Pages : 242 pages
Book Rating : 4.43/5 ( download)

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Download or read book A Focus on Ratios and Proportions written by Marjorie M. Petit and published by Routledge. This book was released on 2020-05-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ 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 focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge 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 : Joanne Elizabeth Lobato
Publisher : National Council of Teachers of English
ISBN 13 : 9780873536226
Total Pages : 0 pages
Book Rating : 4.23/5 ( download)

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Download or read book Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 written by Joanne Elizabeth Lobato and published by National Council of Teachers of English. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A series for teaching mathematics."--P. [1] of cover.

Author : David Ben-Chaim
Publisher : Springer Science & Business Media
ISBN 13 : 9460917844
Total Pages : 275 pages
Book Rating : 4.44/5 ( download)

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Download or read book Ratio and Proportion written by David Ben-Chaim and published by Springer Science & Business Media. This book was released on 2012-07-30 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 100007045X
Total Pages : 226 pages
Book Rating : 4.53/5 ( download)

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Download or read book A Focus on Ratios and Proportions written by Marjorie M. Petit and published by Routledge. This book was released on 2020-05-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ 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 focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge 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 : Kumon
Publisher : Kumon Pub North America Limited
ISBN 13 : 9784774300245
Total Pages : 64 pages
Book Rating : 4.41/5 ( download)

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Download or read book Focus on Speed, Proportion & Ratio written by Kumon and published by Kumon Pub North America Limited. This book was released on 2012-06-01 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kumon's research has discovered that children learn more easily when they tackle one skill at a time. That's why Kumon Focus on Workbooks shine a spotlight on one challenging maths topic per book and help children improve these essential skills and gain confidence in their abilities. Each workbook utilises the Kumon Method - a step-by-step, incremental approach that helps children learn at their own pace and without anxiety. By rigorously practising each skill, the child will be proficient in the mathematics that is crucial for future learning.

Author : Travis Olson
Publisher : National Council of Teachers of English
ISBN 13 : 9780873537179
Total Pages : 0 pages
Book Rating : 4.73/5 ( download)

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Download or read book Putting Essential Understanding of Ratios and Proportions Into Practice in Grades 6-8 written by Travis Olson and published by National Council of Teachers of English. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Caroline B. Ebby
Publisher : Routledge
ISBN 13 : 1000220931
Total Pages : 245 pages
Book Rating : 4.33/5 ( download)

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Download or read book A Focus on Addition and Subtraction written by Caroline B. Ebby and published by Routledge. This book was released on 2020-11-23 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ 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 focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter 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; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge 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 : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 1317597303
Total Pages : 208 pages
Book Rating : 4.08/5 ( download)

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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 : Julie Ellis
Publisher : Triangle Interactive, Inc.
ISBN 13 : 1684521408
Total Pages : pages
Book Rating : 4.01/5 ( download)

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Download or read book Pythagoras and the Ratios written by Julie Ellis and published by Triangle Interactive, Inc. . This book was released on 2021-11-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Julie Ellis and Phyllis Hornung Peacock team up once again to explore Pythagorean ratios in this humorous sequel to WHAT'S YOUR ANGLE, PYTHAGORAS? Pythagoras and his cousins want to win a music contest, but first they must figure out how to play their instruments in tune, something that's never been done before. While trying to fix the problem, Pythagoras makes an important discovery--notes that sound pleasant together have a certain mathematical relationship. When Pythagoras applies this ratio to his cousins' pipes and lyres, the result is music to the ears.

Author : Adrian Harrison
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.68/5 ( download)

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Download or read book Introduction to Ratio and Proportion written by Adrian Harrison and published by . This book was released on 2020-04-08 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Ratio & proportion This book includes a brief explanation part, example with solutions, practice problems, problem-solving strategies, multiple-choice questions with answer sheets and it has been prepared for the beginners to help them understand the basic concepts of ratio and propertion. This book will facilitate skills in algebra. Inside are numerous lessons to assist you better understand the topic. These lessons are among many exercises to practice what you've learned, together with a whole answer key to test your work. Throughout this book, you'll learn the terms to assist you understand algebra, and you'll expand your knowledge of the topic through dozens of sample problems and their solutions. With the teachings during this book, you'll find it easier than ever to understand concepts in algebra. RATIO AND PROPORTION DEFINITION TEST WITH SOLUTIONS QUESTIONS