Ratio And Proportion

Author : David Ben-Chaim,Yaffa Keret,Bat-Sheva Ilany
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 45,5 Mb
Release : 2012-07-30
Category : Education
ISBN : 9789460917844

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Ratio and Proportion by David Ben-Chaim,Yaffa Keret,Bat-Sheva Ilany Pdf

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 : David Ben-Chaim,Yaffa Keret,Bat-Sheva Ilany
Publisher : Brill / Sense
Page : 0 pages
File Size : 43,8 Mb
Release : 2012
Category : Docentes
ISBN : 9460917828

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Ratio and Proportion by David Ben-Chaim,Yaffa Keret,Bat-Sheva Ilany Pdf

This book 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.

Author : David Ben-Chaim,Yaffa Keret,Bat-Sheva Ilany
Publisher : Brill / Sense
Page : 275 pages
File Size : 50,6 Mb
Release : 2012
Category : Electronic books
ISBN : 9460917836

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Ratio and Proportion by David Ben-Chaim,Yaffa Keret,Bat-Sheva Ilany Pdf

This book 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.

Author : Marjorie M. Petit,Robert E. Laird,Matthew F. Wyneken,Frances R. Huntoon,Mary D. Abele-Austin,Jean D. Sequeira
Publisher : Routledge
Page : 242 pages
File Size : 53,8 Mb
Release : 2020-05-17
Category : Education
ISBN : 9781000071443

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A Focus on Ratios and Proportions by Marjorie M. Petit,Robert E. Laird,Matthew F. Wyneken,Frances R. Huntoon,Mary D. Abele-Austin,Jean D. Sequeira Pdf

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,Amy B. Ellis,Randall Inners Charles
Publisher : National Council of Teachers of English
Page : 0 pages
File Size : 43,9 Mb
Release : 2010
Category : Curriculum planning
ISBN : 0873536223

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Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 by Joanne Elizabeth Lobato,Amy B. Ellis,Randall Inners Charles Pdf

"A series for teaching mathematics."--P. [1] of cover.

Author : Ashmolean Society
Publisher : Unknown
Page : 68 pages
File Size : 40,7 Mb
Release : 1836
Category : Electronic
ISBN : BL:A0018215795

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On the Theory of Ratio and Proportion as treated by Euclid, etc by Ashmolean Society Pdf

Author : Thomas P. Carpenter,Elizabeth Fennema,Thomas A. Romberg
Publisher : Routledge
Page : 383 pages
File Size : 40,7 Mb
Release : 2012-10-12
Category : Education
ISBN : 9781136476648

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Rational Numbers by Thomas P. Carpenter,Elizabeth Fennema,Thomas A. Romberg Pdf

Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and learning in schools that will inform curriculum development and assessment. The chapters in this volume represent a first step toward an integration of research paradigms in one clearly specified mathematical domain. Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration. The research discussed in this volume is tied together because it deals with a common content strand. During the last ten years specific content domains have served as focal points for research on the development of mathematical concepts in children. The areas of addition and subtraction, algebra, rational numbers, and geometry are notable examples. Whether a similar organizational structure will prevail for programs of research that integrate the study of teaching, learning, curriculum, and assessment is an open question. The perspectives presented in this volume illustrate the potential for adopting this perspective.

Author : Travis Olson,Melfried Olson,Hannah Slovin
Publisher : National Council of Teachers of English
Page : 0 pages
File Size : 50,6 Mb
Release : 2015
Category : Ratio and proportion
ISBN : 0873537173

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Putting Essential Understanding of Ratios and Proportions Into Practice in Grades 6-8 by Travis Olson,Melfried Olson,Hannah Slovin Pdf

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 : Maria Miller
Publisher : Unknown
Page : 90 pages
File Size : 51,6 Mb
Release : 2017-01-10
Category : Electronic
ISBN : 1533160791

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Ratios and Proportions Workbook by Maria Miller Pdf

Ratios and Proportions Workbook covers the concept of the ratio of two quantities. From this concept, we develop the related concepts of a rate (so much of one thing per so much of another thing) and a proportion (an equation of ratios). We also study how tables of equivalent ratios can help to solve problems with rates, and how cross-multiplying can help to solve problems with proportions. The lesson Unit Rates defines the concept of the unit rate, shows how to calculate one, and gives practice at doing so, including practice with complex fractions. We also consider rates as two quantities that vary, graph the corresponding equation in the coordinate grid, and tie in the concept of unit rate with the concept of slope. The concept of direct variation is introduced in the lesson Proportional Relationships. Writing and graphing equations gives a visual understanding of proportionality. In two following lessons on proportions, students also practice solving rate problems in different ways, using the various methods they have learned throughout the workbook. The lessons Scaling Figures, Floor Plans, and Maps give useful applications and more practice to master the concepts of proportions. Before the Review there is also an optional lesson, Significant Digits, that deals with the concept of the accuracy of a measurement and how it limits the accuracy of the solution. It is optional because significant digits is not a standard topic for seventh grade, yet the concept in it is quite important, especially in science.

Author : Marjorie M. Petit,Robert E. Laird,Matthew F. Wyneken,Frances R. Huntoon,Mary D. Abele-Austin,Jean D. Sequeira
Publisher : Routledge
Page : 226 pages
File Size : 50,6 Mb
Release : 2020-05-17
Category : Education
ISBN : 9781000070453

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A Focus on Ratios and Proportions by Marjorie M. Petit,Robert E. Laird,Matthew F. Wyneken,Frances R. Huntoon,Mary D. Abele-Austin,Jean D. Sequeira Pdf

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 : Lynn Marecek,Maryanne Anthony-Smith,Andrea Honeycutt Mathis
Publisher : Unknown
Page : 1148 pages
File Size : 44,6 Mb
Release : 2020-03-11
Category : Electronic
ISBN : 1680923250

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Prealgebra 2e by Lynn Marecek,Maryanne Anthony-Smith,Andrea Honeycutt Mathis Pdf

The images in this book are in grayscale. For a full-color version, see ISBN 9781680923261. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.

Author : Anne M. Collins, Ph.D.
Publisher : Teacher Created Materials
Page : 4 pages
File Size : 52,9 Mb
Release : 2014-07-01
Category : Electronic
ISBN : 9781480787278

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Ratios and Proportional Relationships Leveled Problems: Ratio and Money by Anne M. Collins, Ph.D. Pdf

Differentiate problem solving in your classroom using effective, research-based strategies. This lesson focuses on solving problems related to ratio and money. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.

Author : Zella Williams,Rebecca Wingard-Nelson
Publisher : Enslow Publishing, LLC
Page : 50 pages
File Size : 53,6 Mb
Release : 2016-12-15
Category : Juvenile Nonfiction
ISBN : 9780766082724

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Word Problems Using Ratios and Proportions by Zella Williams,Rebecca Wingard-Nelson Pdf

Ratios and proportions are good ways to break down and understand really big numbers, and the numbers don’t get any bigger than they do in outer space. This book brings young mathematicians on a space odyssey that will ultimately end with them gaining a greater understanding of how to solve word problems using ratios and proportions—and they might even learn a little science along the way. A tips section helps break down the problem-solving process into manageable steps designed to build confidence. These steps are repeated in every problem, helping reinforce the concepts and make them second nature.

Author : ANUBHUTI GANGAL
Publisher : S. Chand Publishing
Page : 128 pages
File Size : 44,5 Mb
Release : 2024-06-23
Category : Mathematics
ISBN : 9789352831432

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COMPOSITE MATHEMATICS FOR CLASS 7 by ANUBHUTI GANGAL Pdf

Composite Mathematics is a series of books for Pre Primer to Class 8 which conforms to the latest CBSE curriculum. The main aim of writing this series is to help the children understand difficult mathematical concepts in a simple manner in easy language.

Author : Kirk Weiler
Publisher : Unknown
Page : 128 pages
File Size : 55,5 Mb
Release : 2021-10
Category : Electronic
ISBN : 1944719393

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N-Gen Math 7 Bundle - 20 by Kirk Weiler Pdf