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 Ratio Teacher s Edition written by National Center on Education & The Economy and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ratio Teacher s Edition written by National Center on Education & The Economy and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Core Focus on Ratios Rates and Statistics Teacher s Edition written by Shannon McCaw and published by . This book was released on 2013-06-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2020-03-23 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a user-friendly, conversational style, the fourth edition of this groundbreaking text helps pre-service and in-service mathematics teachers build the comfort and confidence they need to begin talking to children about fractions and ratios, distilling complex ideas and translating research into usable ideas for the classroom. For two decades, Teaching Fractions and Ratios for Understanding has pushed readers beyond the limits of their current understanding of fractions and rational numbers, challenging them to refine and explain their thinking without falling back on rules and procedures they have relied on throughout their lives. All of the material offered in the book has been used with students, and is presented so that readers can see the brilliance of their insights as well as the issues that challenge their understanding. Each chapter includes children’s strategies and samples of student work for teacher analysis, as well as activities for practicing each thinking strategy, designed to be solved without rules or algorithms, using reasoning alone. The fourth edition of this popular text has been updated throughout and includes new examples of student work, updated artwork, and more. As with previous editions, an equally valuable component of this text is the companion book MORE! Teaching Fractions and Ratios for Understanding (2012), a supplement that is not merely an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction explored here. MORE! includes in-depth discussions of selected problems in the main text, supplementary activities, Praxis preparation questions, more student work, and templates for key manipulatives.
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 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 written by David Ben-Chaim and published by BRILL. This book was released on 2012-01-01 with total page 281 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 specific 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 Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2020-03-23 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a user-friendly, conversational style, the fourth edition of this groundbreaking text helps pre-service and in-service mathematics teachers build the comfort and confidence they need to begin talking to children about fractions and ratios, distilling complex ideas and translating research into usable ideas for the classroom. For two decades, Teaching Fractions and Ratios for Understanding has pushed readers beyond the limits of their current understanding of fractions and rational numbers, challenging them to refine and explain their thinking without falling back on rules and procedures they have relied on throughout their lives. All of the material offered in the book has been used with students, and is presented so that readers can see the brilliance of their insights as well as the issues that challenge their understanding. Each chapter includes children’s strategies and samples of student work for teacher analysis, as well as activities for practicing each thinking strategy, designed to be solved without rules or algorithms, using reasoning alone. The fourth edition of this popular text has been updated throughout and includes new examples of student work, updated artwork, and more. As with previous editions, an equally valuable component of this text is the companion book MORE! Teaching Fractions and Ratios for Understanding (2012), a supplement that is not merely an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction explored here. MORE! includes in-depth discussions of selected problems in the main text, supplementary activities, Praxis preparation questions, more student work, and templates for key manipulatives.
Download or read book MORE Teaching Fractions and Ratios for Understanding written by Susan J. Lamon and published by Routledge. This book was released on 2013-06-17 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: More is not an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction presented in its companion text, Teaching Fractions and Ratios. Keeping the focus on the reasoning needed to properly understand and teach rational numbers, More shows teachers how to engage in powerful ways of thinking so that they can, in turn, enhance the mathematical education of their students. Like its companion text, More has been heavily expanded and reorganized, including even more student work, templates for key manipulatives, and an emphasis on applications to everyday life. Based on the content chapters in Teaching Fractions and Ratios, each chapter includes: In-depth Discussions of selected problems and their solutions. Supplementary Activities and a collection of challenging problems involving fractions. Praxis Preparation Questions geared to the content of each chapter.
Download or read book Ratio written by School Mathematics Study Group and published by . This book was released on 1961 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arithmetic for Pupil Teachers written by George Ricks and published by . This book was released on 1881 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Class Size and Pupil Teacher Ratios written by Chris Peers and published by IAP. This book was released on 2016-06-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a “primer” with respect to the debate about class size between economists and educators. In particular it offers an overview of how economists look at school funding problems, and makes a comparison between the work of the Chicago School and others like Eric Hanushek, which has focused intensely on the economic relationship between public spending on educational resources and the cost of equipping and expanding school infrastructure, and student outcomes. The book therefore focuses on class size as a primary example of the way in which economists have come to treat teaching and learning as a site for the development of human capital. The book also takes a historical look at the debate about class size from the perspective of theories about public choice, which have emerged from the Chicago School through the writings of Milton Friedman. This raises the issue of how the notion of the “public” is understood, and whether educators and economists are coming from different perspectives about what schools should do for the community. Many educationists think about the problem of class size from the perspective of a classroom teacher, who must “eyeball” her students and regard them as flesh?and?blood individuals, whereas economists deal in statistical numbers and should therefore be understood as regarding class size as symptomatic of population issues. The book surveys the two sides of the long?standing debate about class size and its supposed relationship to student achievement. The aim is to disclose a theoretical principle that is adopted by both sides in the debate, even if neither side is conscious of it. This principle relates to the issue of individuals and populations as a binary opposition that supplies either side with a valid viewpoint. The book explores this principle, arguing that each of these opposing perspectives depends on the other for its own logical outcome. The book analyses the procedure of opposing individuals to populations and demonstrates that the question of class size could be more effectively approached by dealing with the principle that is at its core.
Download or read book TALIS 2018 Results Volume I Teachers and School Leaders as Lifelong Learners written by OECD and published by OECD Publishing. This book was released on 2019-06-19 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The OECD Teaching and Learning International Survey (TALIS) is the largest international survey asking teachers and school leaders about their working conditions and learning environments, and provides a barometer of the profession every five years. Results from the 2018 cycle explore and examine the various dimensions of teacher and school leader professionalism across education systems.
Download or read book Teachers Monographs written by and published by . This book was released on 1915 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Education of Native and Minority Groups written by Ambrose Caliver and published by . This book was released on 1932 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book TALIS 2018 Results Volume II Teachers and School Leaders as Valued Professionals written by OECD and published by OECD Publishing. This book was released on 2020-03-23 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report aims to provide an in-depth analysis of teachers’ and school leaders’ perceptions of the value of their profession, their work-related well-being and stress, and their satisfaction with their working conditions. It also offers a description of teachers’ and school leaders’ contractual arrangements, opportunities to engage in professional tasks such as collaborative teamwork, autonomous decision making, and leadership practices.
