Download or read book Making Sense of Fractions written by Randy Palisoc and published by CreateSpace. This book was released on 2014-08-06 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frustrated with fractions? They're easier than you think. Fractions have been given a bad rap. Understanding fractions is essential in math, yet too many students struggle to make sense of them. Even if students have performed well in math early in elementary school, they seem to hit a brick wall when it comes the "abstract" concepts involved with fractions. This is how Making Sense of Fractions helps. This unit challenges the long-held assumption that fractions are difficult because they're abstract. Fractions are actually more concrete and more logical than most people realize. Making Sense of Fractions helps students make these realizations, and it has a different philosophy from past approaches. This unit explains fractions in a more concrete way that makes logical sense to students (and to adults), making fractions easier to learn than before. Essential concepts include: * Simplifying Fractions * Adding Fractions * Subtracting Fractions * Multiplying Fractions * Dividing Fractions * Improper Fractions and Mixed Numbers * GCF (Greatest Common Factor) and LCM (Lowest Common Multiple)
Download or read book Beyond Invert and Multiply Grades 3 6 written by Julie McNamara and published by Math Solutions Publications. This book was released on 2015 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource builds on the foundational understandings that are described inBeyond Pizzas and Pies: 10 Essential Strategies for Supporting Fraction Sense and applies them to situations involving fraction computation. The eight stand-alone chapters are organized within the same friendly, easily accessible framework asBeyond Pizzas and Pies. Each chapter offers classroom activities for investigating the meaning of fractions; fractions as numbers; fraction addition and subtraction; fraction multiplication and division; and classroom discussions on fractions. Activities are connected to the Common Core State Standards and include reproducibles. The accompanying DVD brings to life many of the activities in the book, featuring more than 30 authentic classroom video clips.
Download or read book Eating Fractions written by and published by Scholastic Inc.. This book was released on 1991 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Food is cut into halves, quarters, and thirds to illustrate how parts make a whole. Simple recipes included.
Download or read book Beyond Pizzas Pies written by Julie McNamara and published by Math Solutions. This book was released on 2010 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This resource combines current research and practical strategies to support teachers in understanding and addressing the most common misconceptions that students have about fractions and presents opportunities to help students investigate, discuss, revise, expand, and refine their understanding of fractions. Includes reproducibles, bibliography, and index"--
Download or read book Making Sense of Fractions Ratios and Proportions written by Bonnie H. Litwiller and published by . This book was released on 2002 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent resource for mathematics educators that emphasizes the importance of understanding fractions, ratios, and proportions as early as elementary school. Also provides classroom challenges.
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 Classroom Activities for Making Sense of Fractions Ratios and Proportions written by George W. Bright and published by . This book was released on 2002 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides sample activities that illustrate basic ideas of proportional reasoning, spanning grades K-12.
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 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 Making Sense of Division written by Randy Palisoc and published by CreateSpace. This book was released on 2014-08-06 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The previous book, 10 Powerful Steps to Multiplication Fluency, explained that multiplication fluency matters because: 1. multiplication is the doorway to algebra, and in turn, 2. algebra is the doorway to higher level math, the sciences, and college and career readiness. Furthermore, the previous book explained that a wide spectrum of skills, including fractions and decimals, are all needed for algebra and that all these skills depend on multiplication. Multiplication unlocks the door to mathematical understanding. If multiplication unlocks to the door to these essential concepts, then division opens that door even wider. In this book, not only will students learn about division (the inverse of multiplication), but they will also learn how an understanding of division leads to an understanding of concepts such as fractions and decimals. Making Sense of Division builds both fluency and conceptual understanding of division, giving students the confidence and skills they need to take learning to the next level.
Download or read book Mindset Mathematics written by Jo Boaler and published by John Wiley & Sons. This book was released on 2017-08-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Download or read book Strategies for Teaching Fractions written by David B. Spangler and published by Corwin Press. This book was released on 2011-08-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analyzing student work for error patterns (such as on a diagnostic test) and then providing timely, specific, and meaningful intervention will decrease the probability that the errors will be repeated in the future. Taking into account academic research on how students learn, Spangler provides a practical intervention model and specific hands-on materials for teachers to use when working with the many students who struggle with fractions. The step-by-step intervention strategies illustrated in this book will result in improved student performance and improved student dispositions towards mathematics. It will contain the following elements: reproducibles for fully functional diagnostic tests practice pages for exercises keyed to the diagnostic tests and error patterns, and pages to practice alternative algorithms and estimation teacher resources for hands-on activities, game sheets and pieces, and more"--Provided by publisher.
Download or read book Making Sense of Number written by Annette Hilton and published by Cambridge University Press. This book was released on 2021-09-15 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making Sense of Number is a concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent. It includes relevant content to assist pre-service teachers to improve numeracy for the classroom or to prepare for LANTITE, as well as support for practising teachers to develop their understanding and skills in numeracy. Making Sense of Number focuses on number sense as a conceptual framework for understanding mathematics, covering foundational areas of mathematics that often cause concern such as multiplication, fractions, ratio, rate and scale. The authors use real-world examples to explain mathematical concepts in an accessible and engaging way. Written by authors with over 30 years' experience teaching mathematics at primary, secondary and tertiary levels, Making Sense of Number is an essential guide for both pre-service teachers and those looking to improve their understanding of numeracy.
Download or read book Making Sense of Fractions written by Carol A. Thornton and published by . This book was released on 1995 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource book covers fractions from beginning concepts through comparisons and equivalents.
Download or read book Making Sense of Phonics written by Isabel L. Beck and published by Guilford Publications. This book was released on 2024-09-16 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in a revised and updated third edition incorporating a decade of additional research and classroom experience, this book has helped over 100,000 primary-grade teachers understand and successfully apply the science of reading in phonics instruction. Isabel L. Beck and Mark E. Beck present innovative approaches to assessing and teaching letter–sound relationships, blending, Word Building, multisyllabic decoding, fluency, and more. A wealth of reproducible forms and word lists can be copied from the book or downloaded and printed; the companion website also features supplemental word lists, word and syllable cards, and 30 illustrated Syllasearch stories. Engaging teacher anecdotes and end-of-chapter "Your Turn" activities enhance the book's utility as a professional development resource and course text. New to This Edition *Chapter on the key role of phonics in today's literacy programs--with a focus on what is needed for high-quality instruction aligned with the science of reading. *Chapter on extending Word Building instruction to small groups and individual students. *Extensive revision of the Syllasearch activity for decoding multisyllabic words. *Expanded reproducible and downloadable tools, including enhanced Word Building lists, new Syllasearch lists (with teaching tips), and eight new Syllasearch stories.
Download or read book Making Sense of Fractions Ratios and Proportions written by and published by . This book was released on 2002 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Guided Math Workshop written by Laney Sammons and published by Teacher Created Materials. This book was released on 2017-03-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.
