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More In Depth Discussion Of The Reasoning Activities In Teaching Fractions And Ratios For Understanding Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of More In Depth Discussion Of The Reasoning Activities In Teaching Fractions And Ratios For Understanding book. This book definitely worth reading, it is an incredibly well-written.
Author : Susan J. Lamon
Publisher : Routledge
Page : 114 pages
File Size : 46,6 Mb
Release : 2005
Category : Education
ISBN : 0805852115
Presents a supplement to the main resource book, with an answer key, discussions of the problems, and contains additional problems for the purpose of assessment.
Author : Susan J. Lamon
Publisher : Routledge
Page : 126 pages
File Size : 41,7 Mb
Release : 2014-04-04
Category : Education
ISBN : 9781135606701
This book is a supplement to the text Teaching Fractions and Ratios for Understanding. It is not merely an answer key, but a resource that includes in-depth discussions of 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. In the second edition, MORE has been reorganized so that supplementary activities immediately follow the discussions of the activities from the text. Solutions to these supplemental activities have been removed to facilitate the use of MORE in courses. Nevertheless, because the number of activities in each chapter of the text has increased and complete discussions of all of them are provided in MORE, there is ample opportunity to learn reasoning methods.
Author : Susan J. Lamon
Publisher : Unknown
Page : 138 pages
File Size : 47,7 Mb
Release : 2012
Category : Electronic books
ISBN : 1315045540
"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"--Provided by publisher.
Author : Susan J Lamon
Publisher : Routledge
Page : 186 pages
File Size : 49,9 Mb
Release : 2005-10
Category : Education
ISBN : 9781135667757
First Published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Susan J. Lamon
Publisher : Routledge
Page : 254 pages
File Size : 48,9 Mb
Release : 2006-08-15
Category : Education
ISBN : 9781135606787
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 : Cheryl Rose Tobey,Carolyn B. Arline
Publisher : Corwin Press
Page : 233 pages
File Size : 50,6 Mb
Release : 2013-10-03
Category : Education
ISBN : 9781483340388
Pinpoint and reverse math misconceptions with laser-like accuracy Quickly and reliably uncover common math misconceptions in Grades 6-8 with these convenient and easy-to-implement diagnostic tools! Bestselling authors Cheryl Tobey and Carolyn Arline provide 25 new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction--while learning is already underway. Completely CCSM aligned, these grade-specific probes eliminate the guesswork and help teachers: Systematically address conceptual and procedural mistakes Help students better understand areas of struggle Plan targeted instruction that covers Grades 6-8 CCSM mathematical processes and proficiencies
Author : Susan J. Lamon
Publisher : Routledge
Page : 328 pages
File Size : 41,8 Mb
Release : 2012-03-22
Category : Education
ISBN : 9781136631856
For over a decade, 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. Written in a user-friendly, conversational style, this text helps teachers build the comfort and confidence they need to begin talking to children about fractions and ratios. The clear distillation of complex ideas and the translation of research into usable ideas for the classroom make this text a valuable resource for all pre- and in-service mathematics teachers. The highly anticipated third edition of this popular text has been heavily expanded and reorganized to make the connectivity of topics even more transparent, including more mathematics content, teaching/reasoning techniques, classroom activities, connections to other content, and applications to everyday life. In addition, the most effective features from previous editions have been retained. Special Features: Children’s Strategies and samples of student work are provided in each chapter for teacher analysis. Activities for practicing the thinking strategies explained in each chapter, designed to be solved without rules or algorithms, using reasoning alone. Online Resources for Instructors including a sample syllabus, chapter overviews and relevant Big Content ideas for each chapter, and graphics that can be copied and resized for use in instruction and in constructing exams. An equally valuable component of this text is MORE! Teaching Fractions and Ratios for Understanding, Third Edition---a supplement that is not merely an answer key but a resource that provides the scaffolding for this groundbreaking approach to fraction and ratio instruction. Also heavily expanded, 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.
Author : Randall E. Groth
Publisher : SAGE
Page : 513 pages
File Size : 54,5 Mb
Release : 2012-08-10
Category : Education
ISBN : 9781412995689
Teaching Mathematics in grades 6-12 by Randall E. Groth is a core methods text that introduces students to the vibrant and intriguing world of mathematics education. The author shows preservice mathematics teachers the value of being a "researcher"--constantly experimenting with methods for developing students' mathematical thinking--and connecting this research to practices that enhance students' understanding of the types of mathematical knowledge students bring to school and how students' thinking may develop in response to different teaching strategies.
Author : Joanne Elizabeth Lobato,Amy B. Ellis,Randall Inners Charles
Publisher : National Council of Teachers of English
Page : 0 pages
File Size : 51,5 Mb
Release : 2010
Category : Curriculum planning
ISBN : 0873536223
"A series for teaching mathematics."--P. [1] of cover.
Author : John A. Van de Walle
Publisher : Allyn & Bacon
Page : 574 pages
File Size : 46,5 Mb
Release : 2004
Category : Education
ISBN : UOM:39015061101351
World Windows introduces young learners to essential themes and concepts in Science and Social Studies, through National Geographic photography and content. Using non-fiction readings, World Windows helps to develop young learnerse(tm) fluency in English, and ignites their curiosity about the world around them.
Author : Anonim
Publisher : Unknown
Page : 716 pages
File Size : 49,5 Mb
Release : 2001
Category : Education
ISBN : UOM:39015079871904
Author : Monica Neagoy
Publisher : ASCD
Page : 301 pages
File Size : 53,8 Mb
Release : 2017-03-10
Category : Education
ISBN : 9781416621232
For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it’s imperative for us to take a closer look at how we teach fractions: 1. Fractions play a key role in students’ feelings about mathematics. 2. Fractions are fundamental to school math and daily life. 3. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of “algebra for all” will not be possible until “fractions for all” is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.
Author : Janette Maree Bobis
Publisher : Unknown
Page : 201 pages
File Size : 43,5 Mb
Release : 2011
Category : Fractions
ISBN : 1875900683
Author : David Ben-Chaim,Yaffa Keret,Bat-Sheva Ilany
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 42,5 Mb
Release : 2012-07-30
Category : Education
ISBN : 9789460917844
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 : Margaret Schwan Smith,Edward A. Silver,Mary Kay Stein
Publisher : Teachers College Press
Page : 168 pages
File Size : 47,6 Mb
Release : 2005-01-01
Category : Education
ISBN : 0807745294
Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
