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.
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.
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.
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.
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.
Download or read book Ratio and Proportion Ratio written by and published by EKalam. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning Objectives :- The ratio of two quantities, Comparisons of two ratios.
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.
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.
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.
Download or read book Ratio and Proportion Puzzles Advanced written by Wilai & William Crouch and published by Milliken Publishing Company. This book was released on 2002-09-01 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: This packet includes crossword-like puzzles where the answers are all numeric values! Down and Across clues are advanced math problems with ratios and proportions. This is a great source for reinforcement of math skills and providing homework sheets. Includes answers keys.
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.
Download or read book On the Road written by Nola Quinlan and published by Teacher Created Materials. This book was released on 2012-01-27 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses ratios and percents and explains how they are used in real-life situations while traveling.
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.
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.
Download or read book Ratios and Percents written by Rebecca Wingard-Nelson and published by Enslow Publishers, Inc.. This book was released on 2008 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A step-by-step guide to the basics of ratios and fractions"--Provided by publisher.
Download or read book Drug Calculations E Book written by Meta Brown and published by Elsevier Health Sciences. This book was released on 2015-11-16 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensively covering the ratio and proportion method, Drug Calculations: Ratio and Proportion Problems for Clinical Practice, 10th Edition is known for its realistic practice problems and unique "proof" step in the answer key that lets you double-check your answers to avoid medication errors. This text addresses the current issue of patient safety with respect to accurate drug dosages through the inclusion of QSEN competencies recommendations — and with features such as new Clinical Relevance boxes and Clinical Alerts that call attention to situations in actual practice that have resulted in drug errors. You will get extensive hands-on practice for the NCLEX Exam through the text’s calculation problems, critical thinking exercises, worksheets, and assessment tests. Over 1,100 practice problems in ratio and proportion offer the extensive practice needed to become proficient in drug calculations. Step-by-step format for each problem includes a unique Proof step in the answer key to ensure that you understand the solution. Patient Safety chapter helps you prevent medication errors and understand drug labels, medication administration forms, and physician's order forms. Multiple-choice Worksheets within each chapter help you prepare for the NCLEX examination. Critical thinking exercises aid you in applying analytical skills and drug calculations to clinical practice. Clinical Alerts highlight potential and common drug calculation errors. Full-color drug labels and equipment illustrations provide you with a realistic representation of medication administration and what you will encounter in the clinical setting. Detailed coverage of the ratio and proportion method provides a logical, accurate, and consistent method of drug calculation. Worksheets follow each chapter section for additional practice and application of drug calculations. NEW! Vocabulary section at the beginning of each chapter provides you with a convenient reference to definitions of terms used throughout the chapter. NEW! Clinical Relevance boxes integrate medication–related clinical practice concepts, such as: nursing practice, high-risk medications, safety issues, and common administration errors.
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.
