Ratio And Proportion

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Ratio and Proportion

Author : David Ben-Chaim
Publisher : Springer Science & Business Media
ISBN 13 : 9460917844
Total Pages : 264 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Ratio and Proportion by : David Ben-Chaim

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 264 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.

A Focus on Ratios and Proportions

Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 1000071448
Total Pages : 264 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis A Focus on Ratios and Proportions by : Marjorie M. Petit

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 264 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.

Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8

Author : Joanne Elizabeth Lobato
Publisher : National Council of Teachers of English
ISBN 13 : 9780873536226
Total Pages : 0 pages
Book Rating : 4.5/5 (362 download)

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Book Synopsis Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 by : Joanne Elizabeth Lobato

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.

Prealgebra 2e

Author : Lynn Marecek
Publisher :
ISBN 13 : 9781680923261
Total Pages : 1148 pages
Book Rating : 4.9/5 (232 download)

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Book Synopsis Prealgebra 2e by : Lynn Marecek

Download or read book Prealgebra 2e written by Lynn Marecek and published by . This book was released on 2020-03-11 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. 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.

Developing Deep Knowledge in Middle School Mathematics

Author : Sergei Abramovich
Publisher : Springer Nature
ISBN 13 : 3030685640
Total Pages : 451 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Developing Deep Knowledge in Middle School Mathematics by : Sergei Abramovich

Download or read book Developing Deep Knowledge in Middle School Mathematics written by Sergei Abramovich and published by Springer Nature. This book was released on 2021-05-10 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Ratios and Proportions Workbook

Author : Maria Miller
Publisher :
ISBN 13 : 9781533160799
Total Pages : 90 pages
Book Rating : 4.1/5 (67 download)

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Book Synopsis Ratios and Proportions Workbook by : Maria Miller

Download or read book Ratios and Proportions Workbook written by Maria Miller and published by . This book was released on 2017-01-10 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Glencoe Math, Course 1, Student Edition

Author : McGraw-Hill Education
Publisher : McGraw-Hill Education
ISBN 13 : 9780076691005
Total Pages : 528 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Glencoe Math, Course 1, Student Edition by : McGraw-Hill Education

Download or read book Glencoe Math, Course 1, Student Edition written by McGraw-Hill Education and published by McGraw-Hill Education. This book was released on 2014-06-06 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Glencoe Math Student Edition is an interactive text that engages students and assist with learning and organization. It personalizes the learning experience for every student. The write-in text, 3-hole punched, perfed pages allow students to organize while they are learning.

The Art and Science of Drawing

Author : Brent Eviston
Publisher : Rocky Nook, Inc.
ISBN 13 : 1681987775
Total Pages : 479 pages
Book Rating : 4.6/5 (819 download)

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Book Synopsis The Art and Science of Drawing by : Brent Eviston

Download or read book The Art and Science of Drawing written by Brent Eviston and published by Rocky Nook, Inc.. This book was released on 2021-05-28 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing is not a talent, it's a skill anyone can learn. This is the philosophy of drawing instructor Brent Eviston based on his more than twenty years of teaching. He has tested numerous types of drawing instruction from centuries old classical techniques to contemporary practices and designed an approach that combines tried and true techniques with innovative methods of his own. Now, he shares his secrets with this book that provides the most accessible, streamlined, and effective methods for learning to draw.

Taking the reader through the entire process, beginning with the most basic skills to more advanced such as volumetric drawing, shading, and figure sketching, this book contains numerous projects and guidance on what and how to practice. It also features instructional images and diagrams as well as finished drawings. With this book and a dedication to practice, anyone can learn to draw!

Putting Essential Understanding of Ratios and Proportions Into Practice in Grades 6-8

Author : Travis Olson
Publisher : National Council of Teachers of English
ISBN 13 : 9780873537179
Total Pages : 0 pages
Book Rating : 4.5/5 (371 download)

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Book Synopsis Putting Essential Understanding of Ratios and Proportions Into Practice in Grades 6-8 by : Travis Olson

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.

Ratio

Author : Michael Ruhlman
Publisher : Simon and Schuster
ISBN 13 : 1416566120
Total Pages : 307 pages
Book Rating : 4.4/5 (165 download)

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Book Synopsis Ratio by : Michael Ruhlman

Download or read book Ratio written by Michael Ruhlman and published by Simon and Schuster. This book was released on 2009-04-07 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael Ruhlman’s groundbreaking New York Times bestseller takes us to the very “truth” of cooking: it is not about recipes but rather about basic ratios and fundamental techniques that makes all food come together, simply. When you know a culinary ratio, it’s not like knowing a single recipe, it’s instantly knowing a thousand. Why spend time sorting through the millions of cookie recipes available in books, magazines, and on the Internet? Isn’t it easier just to remember 1-2-3? That’s the ratio of ingredients that always make a basic, delicious cookie dough: 1 part sugar, 2 parts fat, and 3 parts flour. From there, add anything you want—chocolate, lemon and orange zest, nuts, poppy seeds, cinnamon, cloves, nutmeg, almond extract, or peanut butter, to name a few favorite additions. Replace white sugar with brown for a darker, chewier cookie. Add baking powder and/or eggs for a lighter, airier texture. Ratios are the starting point from which a thousand variations begin. Ratios are the simple proportions of one ingredient to another. Biscuit dough is 3:1:2—or 3 parts flour, 1 part fat, and 2 parts liquid. This ratio is the beginning of many variations, and because the biscuit takes sweet and savory flavors with equal grace, you can top it with whipped cream and strawberries or sausage gravy. Vinaigrette is 3:1, or 3 parts oil to 1 part vinegar, and is one of the most useful sauces imaginable, giving everything from grilled meats and fish to steamed vegetables or lettuces intense flavor. Cooking with ratios will unchain you from recipes and set you free. With thirty-three ratios and suggestions for enticing variations, Ratio is the truth of cooking: basic preparations that teach us how the fundamental ingredients of the kitchen—water, flour, butter and oils, milk and cream, and eggs—work. Change the ratio and bread dough becomes pasta dough, cakes become muffins become popovers become crepes. As the culinary world fills up with overly complicated recipes and never-ending ingredient lists, Michael Ruhlman blasts through the surplus of information and delivers this innovative, straightforward book that cuts to the core of cooking. Ratio provides one of the greatest kitchen lessons there is—and it makes the cooking easier and more satisfying than ever.

Rational Numbers

Author : Thomas P. Carpenter
Publisher : Routledge
ISBN 13 : 1136476644
Total Pages : 383 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis Rational Numbers by : Thomas P. Carpenter

Download or read book Rational Numbers written by Thomas P. Carpenter and published by Routledge. This book was released on 2012-10-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Divine Proportion

Author : H. E. Huntley
Publisher : Courier Corporation
ISBN 13 : 0486131874
Total Pages : 212 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Divine Proportion by : H. E. Huntley

Download or read book The Divine Proportion written by H. E. Huntley and published by Courier Corporation. This book was released on 2012-06-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.

Fundamentals of Practical Mathematics

Author : George Wentworth
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Fundamentals of Practical Mathematics by : George Wentworth

Download or read book Fundamentals of Practical Mathematics written by George Wentworth and published by . This book was released on 1922 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching Fractions and Ratios for Understanding

Author : Susan J. Lamon
Publisher : Routledge
ISBN 13 : 1135606781
Total Pages : 254 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Teaching Fractions and Ratios for Understanding by : Susan J. Lamon

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 254 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.

Business Arithmetic

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (745 download)

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Book Synopsis Business Arithmetic by :

Download or read book Business Arithmetic written by and published by . This book was released on 1900* with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Focus on Ratios and Proportions

Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 100007045X
Total Pages : 226 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis A Focus on Ratios and Proportions by : Marjorie M. Petit

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.

Ratio, Proportion, and Percent

Author : Instructional Fair
Publisher : Instructional Fair
ISBN 13 : 9781568229850
Total Pages : 48 pages
Book Rating : 4.2/5 (298 download)

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Book Synopsis Ratio, Proportion, and Percent by : Instructional Fair

Download or read book Ratio, Proportion, and Percent written by Instructional Fair and published by Instructional Fair. This book was released on 2001-01-01 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your students will develop a greater understanding of the math concepts required for mastery of the new NCTM Standards. Easy-to-follow instructions, fun-to-solve puzzles and riddles, and many self-checking activities make these books a hit in any middle school math class.