Author: Marjorie M. Petit Publisher: Routledge ISBN: 1000071448 Category : Education Languages : en Pages : 264
Book Description
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: Doug Hull Publisher: Createspace Independent Publishing Platform ISBN: 9781495421273 Category : Games & Activities Languages : en Pages : 92
Book Description
The first volume in a series, the book reviews a collection of poker hands played from the button, cutoff, and hijack positions which illustrate concepts to help improve the reader's poker game.
Author: Joanne Elizabeth Lobato Publisher: National Council of Teachers of English ISBN: 9780873536226 Category : Curriculum planning Languages : en Pages : 0
Book Description
"A series for teaching mathematics."--P. [1] of cover.
Author: Tamás Rudas Publisher: SAGE ISBN: 9780761903628 Category : Mathematics Languages : en Pages : 92
Book Description
In this volume the author shows how odds ratios can be used as a framework for understanding log-linear models. The book moves from paradigmatic 2x2 case to more complicated cases. The author also carefully defines the odds ratio.
Author: Robert W. Herr Publisher: ISBN: Category : Languages : en Pages : 32
Book Description
Experimental flutter-test results for some flexible cantilever-wing models partly submerged in water are presented. The results tend to corroborate theoretical predictions of a stable region at low ratios of structural mass to fluid mass. Theoretical studies indicate this dynamic stability to be closely associated with the presence of fluid damping forces. An explicit expression is presented which defines the lowest mass ratios for which representative section (flexure-torsion) flutter solutions are obtainable as a function of the various structural parameters. Classical flutter of hydrofoils is possible, especially for heavy sections with the center of gravity located far aft. Theoretical indications are that the flutter boundary at low mass ratios is very sensitive to small differences in the various theories. Inclusion of sweep in a modal analysis resulted in flutter solutions in the low mass-ratio range where none had previously been obtained. (Author).
Author: Susan J. Lamon Publisher: Routledge ISBN: 1135606781 Category : Education Languages : en Pages : 254
Book Description
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.
Author: David Ben-Chaim Publisher: Springer Science & Business Media ISBN: 9460917844 Category : Education Languages : en Pages : 264
Book Description
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
Author: Doug Hull
Author: Joanne Elizabeth Lobato
Author: Tamás Rudas
Author: Temple University. Bureau of Economic and Business Research
Author: Robert W. Herr
Author: 
Author: Susan J. Lamon
Author: Samuel Brody
Author: David Ben-Chaim