Download or read book Seeing Fractions written by Rebecca B. Corwin and published by Hippocrene Books. This book was released on 1991 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what students will be expected to learn, a discussion of the teaching and learning theory of constructing mathematical models that is advocated in this unit, and a discussion of teaching techniques that indicate the use of manipulatives, small-group work, homework, parent communication, and the teacher's role in the classroom. The remainder of the unit is organized into five modules, each of which focuses on a different context for exploring fractions. Each module requires between five and seven class sessions, and includes the following components: an overview of the module; plans for each class session that break up each module into manageable segments with accompanying activities; teacher notes that draw on observations of students' strategies, approaches, difficulties, and confusions; and dialogue boxes that give examples of conversations in which students attempt to express their understanding of key mathematical ideas. The modules are: (1) Geometry with Fractions; (2) Rates--A Different Model; (3) Sharing Cookies; (4) Making and Using Fraction Strips; and (5) Using Fractions to Compare Data. The final section discusses assessment alternatives for the unit. Student worksheets in English and in Spanish are interpersed in the text. (MDH)
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 A Focus on Fractions written by Marjorie M. Petit and published by Taylor & Francis. This book was released on 2022-07-29 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression—based on research conducted with hundreds of teachers—to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ 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 discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges 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.
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 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 Go Fractions written by Judith Stamper and published by Penguin. This book was released on 2012-08-02 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coach of the soccer team is a math teacher. And the name of the team is the Fractions. The numbers on the kids' uniforms are fractions. At half time, the kids eat orange slices that are cut in halves, quarters, and thirds. All of these fractions add up to two things-a winning team and lots of fun! Illustrated by Chris Demarest.
Download or read book Fractions Decimals Grades 4 6 ENHANCED eBook written by Lynne Aldrich and published by Lorenz Educational Press. This book was released on 1998-09-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a variety of activities designed to enrich and reinforce math skills taught at the fourth- through sixth-grade levels. The pages are presented in a suggested order, but may be used in any order that best meets a child's needs. Exercises are designed so a child can work with a minimum of supervision in a classroom or at home. The whimsical characters will entertain and motivate your children. An answer key is included at the end of the book.
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 343 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 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 If You Were a Fraction written by Trisha Speed Shaskan and published by Capstone. This book was released on 2008-07-01 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic introduction to the concept of fractions.
Download or read book Mindset Mathematics Visualizing and Investigating Big Ideas Grade 3 written by Jo Boaler and published by John Wiley & Sons. This book was released on 2018-07-12 with total page 260 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 third-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 Revealing Arithmetic written by Katherine Hannon and published by New Leaf Publishing Group. This book was released on 2021-04-12 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: For years, Christian math books have looked basically like secular textbooks, with the addition of a Bible verse here or there. Here, at last, is a book to help you transform your math class and show your child God’s handiwork in math! Revealing Arithmetic will help you: Teach math from a biblical worldview. Worship the Lord in math. Help your child really understand concepts. Train your child to think mathematically. Transform everyday activities and objects into math lessons. Teach your child to use math as a real-life tool. Explore historical methods and symbols. This book is designed for homeschool parents needing a simple math guide to use alongside their curriculum and help them teach arithmetic to elementary students, older students needing a review of math basics before moving on to advanced mathematics, or Christian school or co-op teachers (or future teachers) wanting ideas on how to modify the curriculum to better reveal the truth of a Creator God.
Download or read book Fostering Children s Mathematical Power written by Arthur J. Baroody and published by Routledge. This book was released on 1998-09-01 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics.
Download or read book The Classroom Teacher written by Milo Burdette Hillegas and published by . This book was released on 1927 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Brief History of Numbers written by Leo Corry and published by OUP Oxford. This book was released on 2015-08-27 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.
Download or read book Fast Ideas for Busy Teachers Math Grade 4 written by Armstrong and published by Carson-Dellosa Publishing. This book was released on 2009-01-04 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mingle in some math to everyday teaching! Fast Ideas for Busy Teachers: Math has hundreds of ideas that will fit into a hectic schedule and enliven fourth-grade students' exploration of mathematics. The book is organized by math skills, which makes it easy to find a topic when it's needed. Open-ended lessons allow adaptation of activities to meet students' needs. The lessons are perfect for substitutes, rainy-day activities, homework, and in-class assignments. The book includes tips for managing a classroom, getting organized, getting to know students, and implementing behavior management. This 80-page book also includes reproducibles and aligns with Common Core State Standards, as well as state and national standards.
Download or read book Seeing Through Mathematics Teaching Guide written by and published by . This book was released on 1964 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: