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| benchmarks to compare fractions: Clothesline Math: The Master Number Sense Maker Chris Shore, 2018-04-02 This must-have resource provides the theoretical groundwork for teaching number sense. Authored by Chris Shore, this book empowers teachers with the pedagogy, lessons, and detailed instructions to help them implement Clothesline Math in K-12 classrooms. Detailed, useful tips for facilitating the ensuing mathematical discourse are also included. At the elementary level, the hands-on lessons cover important math topics including whole numbers, place value, fractions, order of operations, algebraic reasoning, variables, and more. Implement Clothesline Math at the secondary level and provide students with hands-on learning and activities that teach advanced math topics including geometry, algebra, statistics, trigonometry, and pre-calculus. Aligned to state and national standards, this helpful resource will get students excited about learning math as they engage in meaningful discourse. |
| benchmarks to compare fractions: Barron's Early Achiever: Grade 4 Math Workbook Activities & Practice Barrons Educational Series, 2022-11 Barron's early achiever workbooks provide a hands-on learning experience tailored to grade-level skills. Meet and exceed learning goals in math! Fun interactive activities for comprehension and practice. Helpful tips and examples to support learning. Multiple step-by-step problem-solving exercises.-- |
| benchmarks to compare fractions: Beyond Pizzas & Pies Julie McNamara, Meghan M. Shaughnessy, 2010 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-- |
| benchmarks to compare fractions: A Focus on Fractions Marjorie M. Petit, Robert E. Laird, Caroline B. Ebby, Edwin L. Marsden, 2022-07-29 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. |
| benchmarks to compare fractions: Guided Math Workshop Laney Sammons, Donna Boucher, 2017-03-01 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. |
| benchmarks to compare fractions: Eureka Math Curriculum Study Guide Common Core, 2015-03-23 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 4 provides an overview of all of the Grade 4 modules, including Place Value, Rounding, and Algorithms for Addition and Subtraction; Unit Conversions and Problem Solving with Metric Measurement; Multi-Digit Multiplication and Division; Angle Measure and Plane Figures; Fraction Equivalence, Ordering, and Operations; Decimal Fractions; and Exploring Measurement with Multiplication. |
| benchmarks to compare fractions: Number Sense Routines Jessica Shumway, 2023-10-10 In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom. |
| benchmarks to compare fractions: Strategies for Teaching Fractions David B. Spangler, 2011-08-17 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. |
| benchmarks to compare fractions: The Mathematics Education of Elementary Teachers Lynn C. Hart, Susan Oesterle, Susan Swars Auslander, Ann Kajander, 2016-07-01 This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak mathematical skills and knowledge, many also hold negative attitudes, anxiety, and misguided beliefs about mathematics. This book is designed to support instructors who teach these students in mathematics content for elementary teachers courses. Elementary teachers need a richly developed understanding of the mathematics they are teaching in order to teach it effectively. Providing them with the needed preparation is difficult, but can be eased with a solid understanding of the mathematical concerns and limitations PSTs bring to the learning of mathematics and a familiarity with the standards and curricula topics PSTs will be expected to teach. Chapter One makes the argument that elementary mathematics is not trivial. This is followed by an analysis of four central issues related to the mathematical preparation of elementary teachers, specifically: (1) selecting/creating/modifying and implementing mathematical tasks (2) noticing/understanding children’s ways of thinking as a foundation for learning mathematics, (3) developing mathematical habits of mind in PSTs, and (4) understanding the role affect plays in the mathematical learning of PSTs. The final chapter presents three international examples of programs that currently consider these factors in the implementation of their courses. |
| benchmarks to compare fractions: The Teaching of Fractions Edward Wildeman, 1923 |
| benchmarks to compare fractions: Your Mathematics Standards Companion, Grades 3-5 Linda M. Gojak, Ruth Harbin Miles, 2017-05-17 Transforming the standards into learning outcomes just got a lot easier In this resource, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, allowing you to see and understand which page number to turn to for standards-based teaching ideas. It’s all here, page by page: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Sample lesson plans and lesson planning templates Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum. |
| benchmarks to compare fractions: Uncomplicating Fractions to Meet Common Core Standards in Math, K–7 Marian Small, 2013 The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical “doers.” In her new resource, professional developer Marian Small shows teachers how to uncomplicate the teaching of fractions by focusing on the most important fraction ideas that students need to grasp. The book is organized by grade level beginning with Grade 1, where the first relevant standard is found in the geometry domain, and ending with Grade 7, where the focus is on operations with rational numbers and proportional thinking. In each section the relevant standard is presented, followed by a discussion of important underlying ideas associated with that standard, as well as some thoughtful, concept-based questions that can be used for classroom instruction, practice, or assessment. Underlying ideas include: Background for the mathematics of the standard. Suggestions for appropriate representations for those specific mathematical ideas, including equations, drawings, and manipulatives. Suggestions for explaining ideas to students. Cautions about misconceptions or situations to avoid.This accessible book provides math teachers with support for differentiated instruction. Math coaches can use it to assist teachers with their transition to the Common Core State Standards. All teachers will find it helpful to see the mathematical fraction learning that precedes and follows the grades that they teach. It is also an excellent text for preservice teachers as they prepare themselves and their students to understand and teach math with a deep level of understanding. “Uncomplicating Fractions is a great resource that helps us understand how to teach and assess student learning of fractions. Marian Small truly ‘uncomplicates’ fractions by providing a resource that is practical and a must-have for all math coaches andevery K–7 teacher!” —Ruth Harbin Miles, board of directors, National Council of Teachers of Mathematics, Mary Baldwin College instructor “At all levels, this book advocates conceptual as well as procedural understandings such as why rational numbers must have repeating or terminating decimal representations. Every section has good questions to ask and grade-level summaries that provide excellent tools to help teachers recognize new ideas introduced at each grade level. I recommend this book for everyone teaching fractions.” —Carol Findell, Professor Emeritus, Mathematics Education, Boston University Marian Small is the former Dean of Education at the University of New Brunswick and longtime professor of mathematics education. |
| benchmarks to compare fractions: The Common Core Mathematics Companion: The Standards Decoded, Grades 3-5 Linda M. Gojak, Ruth Harbin Miles, 2015-05-28 Your user’s guide to the mathematics standards In the 12 short months since the ELA versions of The Common Core Companions, Grades K-2 and 3-5, burst on the scene, they’ve already assisted tens of thousands of teachers with the day-to-day what you do. Teachers’ one big criticism: what about mathematics? Luckily NCTM past-president Linda Gojak and mathematics coach Ruth Harbin Miles stepped up to the task. The result? That version of the mathematics standards you wish you had. Page by page, The Common Core Mathematics Companions clearly lay out: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Don’t spend another minute poring over the mathematics standards. Gojak and Miles have already done the heavy-lifting for you. Focus instead on how to teach them, using The Common Core Mathematics Companion as your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum. |
| benchmarks to compare fractions: A Focus on Fractions Marjorie M. Petit, Robert E. Laird, Edwin L. Marsden, Caroline B. Ebby, 2015-07-24 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. |
| benchmarks to compare fractions: Uncovering Student Thinking in Mathematics, Grades K-5 Cheryl Rose Tobey, Leslie Minton, 2010-10-04 Finally, a book to help teachers differentiate math instruction using their own individualized, current data! The practical, simple-to-use formative assessments allow teachers to identify areas of difficulty, correct misconceptions, and guide learning. —Renee Peoples, Fourth Grade Teacher and K–5 District Math Facilitator Swain County Schools, NC This book offers ways for teachers to gain more insight into what their students know and don′t know. —Carol Amos, Teacher Leader/Mathematics Coordinator Twinfield Union School, VT 25 targeted probes that gauge students′ mathematics comprehension in Grades K–5 Quickly identify each child′s level of understanding with these easy-to-use assessment tools! This sequel to the bestseller Uncovering Student Thinking in Mathematics answers teachers′ requests for more strategies to monitor classroom learning in real time. The authors provide 25 field-tested probes—brief, easily administered assessments—that can pinpoint students′ areas of struggle in mathematics. Aligned with NCTM standards, these grade-appropriate probes are easy to implement immediately and help teachers: Build on children′s current understandings while addressing their identified difficulties Quickly and objectively evaluate specific math skills Determine students′ common mistakes and obstacles to learning math Measure learners′ abilities and compare them to performance objectives Tobey and Minton include their proprietary QUEST cycle model, which provides teachers with the necessary tools to make sound instructional choices and improve all students′ mathematical knowledge. |
| benchmarks to compare fractions: Good Questions Marian Small, 2012-01-01 Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability. |
| benchmarks to compare fractions: Eureka Math Grade 4 Study Guide Great Minds, 2015-11-09 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 4 provides an overview of all of the Grade 4 modules, including Place Value, Rounding, and Algorithms for Addition and Subtraction; Unit Conversions and Problem Solving with Metric Measurement; Multi-Digit Multiplication and Division; Angle Measure and Plane Figures; Fraction Equivalence, Ordering, and Operations; Decimal Fractions; and Exploring Measurement with Multiplication. |
| benchmarks to compare fractions: Mathematical Cognition and Understanding Katherine M. Robinson, Adam K. Dubé, Donna Kotsopoulos, 2023-05-31 This book focuses on elementary and middle school children’s understanding of mathematics as well as the cognitive aspects involved in the development of mathematical knowledge, skills, and understanding. Children’s success in and understanding of mathematics stem from factors beyond the mathematics curriculum. Researchers are increasingly becoming aware of the necessity to consider a complex set of variables when accounting for large individual differences in mathematics achievement. These chapters contribute to how both researchers and educators can consider the multidimensionality of skills involved in developing mathematical knowledge in the middle school years as well as to how this knowledge can be used to enhance practices in the mathematics classroom. Topics include the cognitive and spatial skills involved in mathematics knowledge, the role of motivation in mathematics learning, the neurological processes and development of children’s mathematics skills, the development of understanding of arithmetic and fraction concepts, the factors relating to children’s word problem success, and techniques to promote mathematics understanding. This book and its companion, Mathematical Teaching and Learning, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers. |
| benchmarks to compare fractions: The How-to Guide for Integrating the Common Core in Mathematics in Grades K-5 Linda Dacey, 2014-04-01 Discover what it takes to integrate the Common Core in mathematics with this easy-to-use guide. With a focus on elementary mathematics, this resource will leave teachers feeling empowered to construct their own lessons with easy-to-follow ideas and suggestions. Strategies and ideas are provided to help teachers deliver material while meeting the Common Core and other state standards. Instructional shifts in the Common Core State Standards are highlighted and examples of implementation are included with practical tips on how to integrate these standards in a lesson. |
| benchmarks to compare fractions: MATHEMATICS FOR ELEMENTARY TEACHERS. (PRODUCT ID 23864410). MICHELLE. MANES, 2018 |
| benchmarks to compare fractions: Mathematics Curriculum Topic Study Page Keeley, Cheryl M. Rose, 2006-04-06 This book addresses the needs of teachers at every level in their teaching careers, as well as those who support and work with teachers. The processes can be used individually to guide professional learning and teaching, or within almost any professional development structure for facilitating group learning. -Katherine E. Stiles, Senior Program Associate, WestEd This resource supports continual professional growth of both content and pedagogical knowledge and will help teachers focus on the appropriate research. What a time saver this is! -Rhonda Naylor, National Board Certified Mathematics Teacher Campus Middle School, Englewood, CO Attain the tools to plan and incorporate standards-based instruction that positively impacts student achievement! Becoming an accomplished mathematics teacher requires not only a thorough understanding of content, but also a familiarity with mathematics standards and research. However, a strategy for translating standards and research into instructional practice has been lacking since the advent of standards-based education reform. Mathematics Curriculum Topic Study provides a systematic professional development strategy that links mathematics standards and research to curriculum, instruction, and assessment. Developed by authors Page Keeley and Cheryl M. Rose of the Maine Mathematics and Science Alliance, the NSF-funded Curriculum Topic Study (CTS) process can help educators align their practice with research-based concepts and skills required in local, state, and national standards. Successfully field-tested with hundreds of teachers, mathematics coordinators, and staff developers, this book contains 92 ready-to-use CTS guides arranged in seven categories that are aligned with NCTM content and process standards. Designed to work in a variety of contexts, the CTS process will help teachers: Increase their content and pedagogical knowledge Better understand and access mathematics research Translate standards to the classroom in a conscious, scholarly way Learn to recognize and address learning difficulties Increase opportunities for all students to achieve mathematical literacy An essential investment toward improving student achievement in mathematics for K-12 teachers, staff developers, directors of curriculum, department chairs and math educators, this innovative resource is also appropriate for preservice teachers and preservice higher education faculty. |
| benchmarks to compare fractions: Math Home Practise Gr. 4 Silver, Anastasia, Math Facts - All 5 Strands! This resource includes everything you need for math prep and practise. Includes: 32 Numeration Activities; 20 Measurement Activities; 15 Geometry Activities; 9 Patterning Activities; and 9 Data Management Activities. 96 Pages. |
| benchmarks to compare fractions: Mastering Grade 4 Math: Concepts and Skills CDN Version Silver, Anastasia, 2014-03-01 Adheres to Canadian Curriculum! This Mastering Math book is a complete, condensed course of instruction or review for Grade Four Mathematics. It is 100% Canadian content following the elementary mathematics curriculum guidelines. Each Mastering Math book is organized according to these five general curriculum threads: Number Sense & Numeration, Measurement, Geometry & Spatial Sense, Patterning & Algebra, and Data Management & Probability. Each topic area contains individual skills and concepts that match the learning expectations of the curriculum. Mastering Math can be used to support the standard classroom curriculum as every learning expectation in the year's curriculum is included. Mastering Math is also an excellent framework for reviewing the full curriculum at home for students who need extra practise. 97 Pages |
| benchmarks to compare fractions: McGraw-Hill Math Grade 4 McGraw Hill, 2012-01-27 ***IF YOU WANT TO UPDATE THE INFORMATION ON YOUR TITLE SHEET, THEN YOU MUST UPDATE COPY IN THE PRODUCT INFORMATION COPY FIELD. COPY IN THE TIPSHEET COPY FIELD DOES NOT APPEAR ON TITLE SHEETS.*** From McGraw-Hill: the teachers' and parents' most trusted source for first-rate educational materials! Student-friendly math activity books for home study, with little or no parental guidance needed. About the Book Each book in this series helps primary-school students learn and practice basic math skills they'll need in the classroom and on standardized NCLB tests. Printed in 4-color throughout; with numerous special high-interest features. Key Selling Features Attractive 4-color page design creates a student-friendly learning experience. All pages are filled to the brim with activities for maximum educational value. High-interest features and real-world applications enliven the learning experience and hold student interest Week-by-week summer study plans support use as a summer bridge learning and reinforcement program. All content aligned to state and national standards Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently. Complete review of Grade 4 math aligned to the new common core state standards Week-by-week study plans support use as summer bridge program for children entering Grade 4 Drill and practice to reinforce learning Market / Audience The market for these books consists of parents who are anxious because their children have to take NCLB tests or because their children are falling behind in school. Other parents will buy the books simply because their children need or want additional practice to reinforce school-taught skills. Sales for this type of workbook always peak in late spring when parents look for summer bridge study aids. A week-by-week summer study plan included in the book supports this use. |
| benchmarks to compare fractions: Nurturing Reflective Learners In Mathematics: Yearbook 2013, Association Of Mathematics Educators Berinderjeet Kaur, 2013-03-14 This fifth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Nurturing Reflective Learners in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reflection among students and teachers in mathematics classrooms.Several renowned international and Singapore researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three broad themes, namely fundamentals, instructional tools, and approaches to teaching for nurturing reflective learners in mathematics classrooms, shape the ideas in these chapters. The book makes a significant contribution towards the learning of mathematics. It is a good resource for mathematics teachers, educators and research students. |
| benchmarks to compare fractions: Nurturing Reflective Learners in Mathematics Berinderjeet Kaur, 2013 This annual volume focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reflection among students and teachers in mathematics classrooms. Published jointly with the Association of Mathematics Educators in Singapore. |
| benchmarks to compare fractions: Fractions, Grade 5 Mary Rosenberg, 2004-06-28 Both teachers and parents appreciate how effectively this series helps students master skills in mathematics and language arts. Each book provides activities that are great for independent work in class, homework assignments, or extra practice to get ahead. Test practice pages are included in most titles. |
| benchmarks to compare fractions: The Mathematics Education for the Future Project. Proceedings of the 13th International Conference Mathematics Education in a Connected World Alan Rogerson, 2015-07-01 This volume contains the papers presented at the International Conference on Mathematics Ed-ucation in a Connected World held from September 16-21, 2015 in Catania, Italy. The Con-ference was organized by The Mathematics Education for the Future Project – an international educational project founded in 1986. |
| benchmarks to compare fractions: The Mathematical Education of Teachers II Conference Board of the Mathematical Sciences, 2012 This report is a resource for those who teach mathematics and statistics to PreK-12 mathematics teachers, both future teachers and those who already teach in our nation's schools. The report makes recommendations for the mathematics that teachers should know and how they should come to know that mathematics. It urges greater involvement of mathematicians and statisticians in teacher education so that the nation's mathematics teachers have the knowledge, skills, and dispositions needed to provide students with a mathematics education that ensures high school graduates are college- and career-ready as envisioned by the Common Core State Standards. This report draws on the experience and knowledge of the past decade to: Update the 2001 Mathematical Education of Teachers report's recommendations for the mathematical preparation of teachers at all grade levels: elementary, middle, and high school. Address the professional development of teachers of mathematics. Discuss the mathematical knowledge needed by teachers at different grade levels and by others who teach mathematics such as elementary mathematics specialists, special education teachers, and early childhood educators. Each of the MET II writers is a mathematician, statistician, or mathematics educator with substantial expertise and experience in mathematics education. Among them are principal investigators for Math Science Partnerships as well as past presidents and chairs of the American Statistical Association, Association of Mathematics Teacher Educators, Association of State Supervisors of Mathematics, Conference Board of the Mathematical Sciences, and National Council of Teachers of Mathematics. The audience for this report includes all who teach mathematics to teachers--mathematicians, statisticians, and mathematics educators--and all who are responsible for the mathematical education of teachers--department chairs, educational administrators, and policy-makers at the national, state, school-district, and collegiate levels. |
| benchmarks to compare fractions: GMAT Fractions, Decimals, & Percents Manhattan Prep, 2014-12-02 Adapting to the ever-changing GMAT exam, Manhattan Prep’s 6th Edition GMAT Strategy Guides offer the latest approaches for students looking to score in the top percentiles. Written by active instructors with 99th-percentile scores, these books are designed with the student in mind. The GMAT Fractions, Decimals, & Percents strategy guide delves into all the surprisingly tricky ways to represent and test part-whole relationships on the GMAT. It covers not only fundamental principles and techniques but also nuanced strategies for handling tough GMAT problems that involve fractions, decimals, and percents. Unlike other guides that attempt to convey everything in a single tome, the GMAT Fractions, Decimals, & Percents strategy guide is designed to provide deep, focused coverage of one specialized area tested on the GMAT. As a result, students benefit from thorough and comprehensive subject material, clear explanations of fundamental principles, and step-by-step instructions of important techniques. In-action practice problems and detailed answer explanations challenge the student, while topical sets of Official Guide problems provide the opportunity for further growth. Used by itself or with other Manhattan Prep Strategy Guides, the GMAT Fractions, Decimals, & Percents strategy guide will help students develop all the knowledge, skills, and strategic thinking necessary for success on the GMAT. Purchase of this book includes one year of access to Manhattan Prep’s Fractions, Decimals, & Percents Question Bank. All of Manhattan Prep's GMAT Strategy Guides are aligned with the GMAC Official Guide, 2016 edition. |
| benchmarks to compare fractions: Assessing Disciplinary Writing in Both Research and Practice Wright, Katherine Landau, Hodges, Tracey S., 2023-08-01 Assessing Disciplinary Writing in Both Research and Practice tackles the challenge of measuring writing skills in specific content areas, which is crucial for preparing students to communicate as field experts and for their future careers. Edited by Katherine Wright, Associate Professor of Literacy and Language at Boise State University, and Tracey Hodges, Founder and Lead Consultant of The Empowering Advocate, this book provides solutions by bringing together validated measures and practical assessment strategies that can be used in both research and instruction. The book's theoretical foundations cover multimodal disciplinary writing, assessing disciplinary writing versus content-area writing, and using assessment as a tool for disciplinary writing instruction. Practical methods for assessing writing in social studies, science, mathematics, English and language arts, and other genres at the elementary, middle, and high school levels are included, as well as assessment strategies for specific populations of students such as undergraduate students, English learners, gifted and talented students, special needs students, and incarcerated students. This highly valued reference is essential for academic scholars, K12 teachers, and educational researchers who want to improve writing instruction and research in content- and discipline-specific areas. By providing validated measures and methods for assessing disciplinary writing, this edited book helps bridge the gap between research and practice and enables practitioners to better measure student growth and improve writing instruction. This publication is the first step towards advancing research and improving writing instruction in content- and discipline-specific areas. |
| benchmarks to compare fractions: Mathematics for Elementary Teachers Sybilla Beckmann, 2009-07-01 This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text. |
| benchmarks to compare fractions: About Teaching Mathematics Marilyn Burns, 2007 A compendium of more than 240 classroom-tested lessons, this essential resource helps teachers build student understanding and skills and understand how children best learn math. In this third edition, Marilyn Burns has completely revised the first section to reflect what she has learned over the years from her classroom experience with students and her professional development experience with teachers. This section has also been expanded to address these important topics: teaching math vocabulary, incorporating writing into math instruction, linking assessment and instruction, and using children¿s literature to teach key math concepts. In an entirely new section, Marilyn addresses a wide range of questions she has received over the years from elementary and middle school teachers regarding classroom management and instructional issues. |
| benchmarks to compare fractions: Answers to Your Biggest Questions About Teaching Elementary Math John J. SanGiovanni, Susie Katt, Latrenda D. Knighten, Georgina Rivera, 2021-08-31 Your guide to grow and learn as a math teacher! Let’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 1. How do I build a positive math community? 2. How do I structure, organize, and manage my math class? 3. How do I engage my students in math? 4. How do I help my students talk about math? 5. How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey? |
| benchmarks to compare fractions: Connected Mathematics , 2004 Contains a complete sixth grade mathematics curriculum with connections to other subject areas. |
| benchmarks to compare fractions: Lessons for Introducing Fractions Marilyn Burns, 2001 The Marilyn Burns Fraction Kit, Grades 4–6 is recommended to help implement the lessons in this book.--pub. desc. |
| benchmarks to compare fractions: Uncovering Student Thinking in Mathematics, Grades 6-12 Cheryl M. Rose, Carolyn B. Arline, 2008-06-27 Cheryl Rose and Carolyn Arline provide a valuable resource to teachers who are interested in determining how their students think and answer questions in mathematics classes. —From the Foreword by Johnny W. Lott Director, Center for Excellence in Teaching and Learning University of Mississippi Use these targeted probes to assess secondary students′ grasp of key mathematics concepts! Research findings show that formative assessment is an important strategy for improving student achievement in mathematics. This practical resource by best-selling authors Cheryl M. Rose and Carolyn B. Arline provides tools and examples that allow middle and high school teachers to gauge students′ knowledge of core mathematics concepts and strengthen their ability to teach effectively. The authors provide 30 formative assessment probes—brief, easily administered activities targeting specific mathematics ideas—to reveal common understandings and misunderstandings in student thinking. Field-tested with teachers and students at various grade levels, these powerful diagnostic tools help teachers modify their teaching and identify areas that require more instruction. Written in accessible language, this invaluable book: Discusses standards, research results, and practical craft knowledge Describes the purpose, structure, and development of mathematics assessment probes Helps teachers build on students′ current understandings while addressing their identified difficulties Offers examples of the faulty thinking students are likely to exhibit and typical obstacles they may encounter These assessment probes will help teachers can make sound instructional choices and increase the mathematics knowledge of all their students! |
| benchmarks to compare fractions: Mastering Math Manipulatives, Grades 4-8 Sara Delano Moore, Kimberly Rimbey, 2021-10-04 Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: · Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. · Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. · Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. |
| benchmarks to compare fractions: Fractions and Decimals Made Easy Rebecca Wingard-Nelson, 2005 What are proper and improper fractions? What exactly is a decimal? Do adding and subtracting fractions confuse your readers How about multiplying decimals? Rebecca Wingard-Nelson simply explains fraction and decimal skills, such as multiplying and dividing fractions, adding mixed numbers, rewriting fractions, understanding common factors, and more. Whether readers are learning this information for the first time, on their own or with a tutor, or they would like to review their math skills, this book is a great choice. |
| benchmarks to compare fractions: Math Makes Sense 5: v.2. Math makes sense 5 practice and homework book, teacher's edition Ray Appel, Peggy Morrow, Maggie Martin Connell, Pearson Education Canada, 2010 |
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Our benchmarks expose their spiel so they attack our reputation. Why does UserBenchmark need so many captchas? Our servers must handle malicious traffic because our user-focused …
PassMark Software - CPU Benchmark Charts
Jun 4, 2025 · PassMark Software - CPU Benchmarks - Over 1 million CPUs and 1,000 models benchmarked and compared in graph form, updated daily!
Best benchmarks software of 2025 - TechRadar
Feb 25, 2025 · We list the best benchmarks software, to make it simple and easy to test your hardware performance against the listed specifications.
UNIGINE Benchmarks
Since 2007, UNIGINE benchmarks provide completely unbiased results and generate true in-game rendering workloads across multiple platforms (Windows, Linux and macOS), featuring …
Geekbench 6 - Cross-Platform Benchmark
Geekbench 6 is a cross-platform benchmark that measures your system's performance with the press of a button. How will your mobile device or desktop computer perform when push comes …
3DMark.com - Share and compare scores from UL Solutions' benchmarks
Test and compare the gaming performance of your PC with 3DMark, the number one benchmarking app for gamers, overclockers, and system builders. Get it from Steam. Get it …
PassMark Software - PC Benchmark and Test Software
Diagnose, troubleshoot and load test the USB functionality of your PC. from computers, quicker and easier. PC reliability and load testing software for Windows. Complete PC Benchmarking. …
Benchmarks - Standard Performance Evaluation Corporation
SPEC offers a wide variety of benchmarks and tools to aid comparisons across many aspects of computer performance. With over 50 different products in many different areas, it can seem a …
Benchmarks and Performance Tests
Home of the world's best benchmarks and most popular performance tests including 3DMark, PCMark, Servermark, and VRMark. Get started with free downloads.
GPU, CPU and Performance Benchmarking | Tom's Hardware
Jun 6, 2025 · We test the best gaming PCs with our typical gauntlet of real-world and synthetic benchmarks to measure overall prebuilt system performance. We've run hundreds of GPU …
