Download or read book Extending Children s Mathematics written by Susan B. Empson and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.
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 Putting Essential Understanding of Fractions Into Practice in Grades 3 5 written by Kathryn Bouchard Chval and published by . This book was released on 2013 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.
Download or read book Children s Mathematics written by Thomas P. Carpenter and published by Heinemann Educational Books. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.
Download or read book Unpacking Fractions written by Monica Neagoy and published by ASCD. This book was released on 2017-03-10 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Adding Fractions Visually written by Eng S. Jama and published by Createspace Independent Publishing Platform. This book was released on 2018-08-30 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adding Fractions Visually Colouring Workbook Colouring, shading and tracing thousands of fraction shapes, fraction names and decimal fractions. Visual addition of fractions using basic shapes and fraction association. Excellent introductions to fractions, equivalent fractions etc. Compares fractions, decimals and percentages. Shape, proper fraction, name and decimal of every fraction - from nothing to whole! Quick quizzes to check learner's understanding and progress. Easy language and plenty of illustrations; visual fractions, sums and simple maths vocabulary. Step-by-step tutorial on adding fractions with same and different denominators. Superb instructions on finding Lowest Common Multiple (LCM). Creating your own fraction additions to colour, shade and trace. Available as; Colouring workbook (this): Adding Fractions Visually: Colouring Workbook. Paperback: Adding Fractions Visually Third Edition. Colour paperback: Adding Fractions Visually Third Edition Colour. https://www.amazon.com/Eng-S-Jama/e/B007YKU7F2 https://www.amazon.co.uk/Eng-S-Jama/e/B007YKU7F2 https://fractionsvisually.com/contact
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 280 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 Developing Fractions Knowledge written by Amy J. Hackenberg and published by SAGE. This book was released on 2016-07-21 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.
Download or read book A Focus on Fractions written by Marjorie M. Petit and published by Routledge. This book was released on 2015-07-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Focus on Fractions is a groundbreaking effort to make the mathematics education research on how students develop their understanding of fraction concepts readily accessible and understandable to pre- and in-service K– 8 mathematics educators. Using extensive annotated samples of student work, as well as vignettes characteristic of classroom teachers’ experiences, this book equips educators with the knowledge and tools to reveal students’ thinking so that they can modify their teaching and improve student learning of fraction concepts. A Focus on Fractions 2nd edition includes sections on the Common Core State Standards for Mathematics and the Ongoing Assessment Project (OGAP) Fraction Framework integrated into each chapter as well as a new chapter on the OGAP Fraction Progression and how it can be used for formative assessment purposes. This updated edition assists teachers in translating research findings into their classroom practice by conveying detailed information about how students develop fraction understandings. Additional images and examples serve to flesh out and supplement the newly-introduced concepts in this updated and expanded edition. Special Features: Looking Back Questions at the end of each chapter provide teachers the opportunity to analyze student thinking and consider instructional strategies for their own students. Instructional Links help teachers relate concepts from the chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of fractions. Answer Key posted online offers extensive explanations of in-chapter questions. New sections devoted to the CCSSM and OGAP Fraction Progression are woven throughout the book as well as a new stand alone chapter on the OGAP Fraction Progression. The OGAP Fraction Framework is an all-new eResource, now available as a free download from the book’s website: www.routledge.com/9781138816442.
Download or read book Number Talks written by Sherry Parrish and published by Math Solutions Publications. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This resource was created in response to the requests of teachers--those who want to implement number talks but are unsure of how to begin, and those with experience who want more guidance in crafting purposeful problems."--Page 4 de la couverture.
Download or read book Visual Fractions written by Pi Squared and published by Createspace Independent Publishing Platform. This book was released on 2011-05-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This math workbook from the Dr. Pi Squared Math Workbooks series aims to teach what a fraction is and help kids visualize fractions. It is designed for kids who are just learning about fractions. The problems consist of colorful pictures from which kids are to determine fractions. The book begins with circles cut into pie slices, from halves to twelfths. The students need to determine what fraction of each pie is blue, yellow, and red. For example, if a pie is divided into fourths, two of which are blue, one yellow, and the other red, the student would answer one-half, one-fourth, and one-fourth. After ample practice with pie slices, the workbook moves onto triangles, squares, and hexagons. A couple of pages include groups of circles where kids need to determine fractions greater than one - for example, two and a half circles might be colored green. Other visual fraction problems include rectangles, smiley faces, arrows, letters, and numbers. Toward the end of the workbook, some questions ask about more than just colors - like what fraction of the arrows point up, or what fraction of the letters are vowels. Answers are nicely organized by page number in the back of the book to allow students, parents, or teachers to quickly check the answers. There is ample workspace for students to write large answers and still fit their solutions comfortably into the space provided. The problems appear in a large font size, since students usually write larger than standard textbook fonts. High-quality, durable, bright paper is used (instead of standard workbook paper, which often tears easily and appears dull in color).
Download or read book Let s Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectrum Understanding Fractions written by Spectrum and published by Carson-Dellosa Publishing. This book was released on 2015-07-29 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: A strong home-to-school relationship helps kids see the whole picture when it comes to math, and with Spectrum Focus: Understanding Fractions for grade 3 kids can spend a portion of time at home practicing converting fractions, comparing fractions, and more. Packed with explanations and comprehensive assessments, the Spectrum Focus series is designed to help every child meet (and exceed) expectations by offering an in-depth learning experience. This standards-based workbook doesn’t just prepare them for classroom success—it helps them make real-world connections by applying fractions to everyday scenarios.
Download or read book Understanding Fractions Lesson Plan written by Marilyn B. Hein and published by Teaching and Learning Company. This book was released on 2008-09-01 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In just minutes a day, students can master math facts with these specially designed worksheets. Using rules, patterns and memory tools similar to those used in language arts, these worksheets are great for introducing concepts or providing alternative techniques. Answer key is included.
Download or read book UNDERSTANDING FRACTIONS VISUALLY Second Edition Colour written by Eng S Jama and published by . This book was released on 2019-04-17 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Colour-coded maths fractions made visual and very simple. For children who think fractions are no fun and grown-ups who have never found the best visual resources to master basic maths fractions. ✓ Easy, logically ordered and illustrated with colour-coded shapes, images, words and basic equations Visually teaches children and visual learners the fundamentals of shape and fraction association ✓ Covers all common fractions; halves, quarters, eighths; fifths, tenths; thirds, sixths and ninths - each from nothing to whole! ✓ Shows every fraction in 4 different ways: shape, fraction name, proper fraction and decimal fraction. ✓ For ease of understanding, maximum visualisation and completeness, compares similar fraction types. — halves v quarters, quarters v eighths, halves v quarters v eighths ... — To visually explain the principle of equivalent fractions. ✓ Illustrated with colour-coded shapes to develop learner's understanding of essential maths fractions ✓ Introduces and extensively employs the essence of equivalent fractions, decimal fractions, percentages and whole numbers using visual models. ✓ Compares fractions, equivalent fractions, decimals and percentages. ✓ Brief introductions to fractions and equivalent fractions. ✓ Quick quizzes to check learner's understanding and progress. ✓ Easy language and a lot of colour-coded shapes, simple maths language and fractions vocabulary. Ages 5-11, Grades Kindergarten-5th grader or Year group 1-6 in primary education (infants, elementary and junior schools). A perfect gift for a loved child, visual learner, kids with special educational needs, or someone who thinks text-based fractions are no fun. Click the Buy Now button (top right of this page) to get a copy. Also available: Colouring workbook — mybook.to/WB1-Sh-v2 New Paperback (reading/textbook) — mybook.to/B-1 New Colour paperback (reading/colour textbook) — mybook.to/B1-C New Workbook (companion/exercise textbook) — mybook.to/WB-1 New Colour workbook (exercise textbook in colour) — mybook.to/WB1-C PS; Please, don't forget to click the Buy Now button to get your copy. Thanks for checking.
Download or read book Fraction Action written by and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Miss Prime and her animal students explore fractions by finding many examples in the world around them.
Download or read book ADD UNDERSTAND and SUBTRACT FRACTIONS VISUALLY in COLOUR written by S. Jama and published by . This book was released on 2021-03-12 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only visual fractions book you need to understand, add & subtract fractions. It is comprehensive, colourful & completely visual. 3-in-1 Colour-coded Visual Maths Fractions: ① Understanding Fractions Visually Colour-coded Fractions Posters Introductions to Fractions Halving and Quartering Equivalent Fractions Visual Fractions With Fractions Names Decimal and Percentage Values Halves, Quarters, Eighths, Fifths, Tenths, Thirds, Sixths, Ninths and Twelfths Halves v Quarters. Quarters v Eighths. Halves v Quarters v Eighths... Quick Quizzes ② Adding Fractions Visually How To Add Fractions With Same and Different Denominators Finding The Lowest Common Multiples (LCM) Simplifying Fractions Many Different Ways Of Adding Halves, Quarters, Eighths, Fifths, Tenths, Thirds, Sixths, Ninths and Twelfths Quick Quizzes Hundreds Examples Of Adding Fractions With Same & Different Denominators ③ Subtracting Fractions Visually How To Subtract Fractions With Same and Different Denominators Simplifying Fractions Finding The Lowest Common Multiples (LCM) Subtracting Halves, Quarters, Eighths, Fifths, Tenths, Thirds, Sixths, Ninths and Twelfths In Various Combinations Quick Quizzes Hundreds Examples Of Subtracting Fractions With Same & Different Denominators Ages: 5-11, Year groups 1-6 and Key Stages 1-2. Order your copy mybook.to/B4-C. More similar books @ author.to/FractionsVisually bit.ly/FractionsVisually.
