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formative assessments in math: Science Formative Assessment, Volume 1 Page Keeley, 2015-09-09 Formative assessment informs the design of learning opportunities that take students from their existing ideas of science to the scientific ideas and practices that support conceptual understanding. Science Formative Assessment shows K-12 educators how to weave formative assessment into daily instruction. Discover 75 assessment techniques linked to the Next Generation Science Standards and give classroom practices a boost with: Descriptions of how each technique promotes learning Charts linking core concepts at each grade level to scientific practices Implementation guidance, such as required materials and student grouping Modifications for different learning styles Ideas for adapting techniques to other content areas |
formative assessments in math: The Formative 5 Francis (Skip) Fennell, Beth McCord Kobett, Jonathan A. Wray, 2016-12-15 This highly practical and readable book gets right down into the detail of what good formative assessment looks like in math classrooms, and shows how teachers can make this a part of their regular planning and instruction. —Dylan Wiliam, Emeritus Professor of Educational Assessment, University College Imagine how it would feel to not worry about how to plan, teach, and check for student mathematical understandings and related proficiencies. Imagine if this important process felt like a natural, every day, part of your lesson preparation instead of an extra thing to do. This must-have resource shows the way. NCTM Past President, Francis Skip Fennell, and nationally-recognized mathematics educators Beth McCord Kobett and Jonathan (Jon) Wray, offer five of the most impactful, proven assessment techniques—Observations, Interviews, Show Me, Hinge Questions, and Exit Tasks— you can implement, every day. Tried and tested by teachers just like you, you’ll find that this palette of classroom-based techniques will truly assess learning and inform teaching. Research and classroom practice indicates that formative assessment is poorly understood. This book gives you a concise, research-based, classroom-dedicated plan with lots of tools, activities, classroom vignettes, and student work to guide your daily use of these techniques – The Formative 5. Both within and between lessons, K-8 teachers of mathematics will learn to Think and go beyond assessment of learning, focusing on assessment for learning Directly connect assessment to planning and teaching Engineer effective classroom questioning, discussions, and learning tasks Provide success criteria and feedback that moves students forward Integrate the Standards for Mathematical Practice Activate student self-assessors who take ownership of their learning Includes a book study guide, tools and templates, and a companion website with downloadables and multi-media examples of student discussion in the classroom. The Formative 5 will help you build your mathematics-related formative assessment capacity through daily use of these five key techniques, leading to regularly monitored and improved learning opportunities for your students. Now Available: The On-Your-Feet Guide to The Formative 5 |
formative assessments in math: Using Formative Assessment to Drive Mathematics Instruction in Grades PreK-2 Jennifer Taylor-Cox, Christine Oberdorf, 2013-09-27 Provide targeted mathematics instruction for every child. These books combine formative assessment with practical activities to differentiate the elementary classroom. The formative assessments include student work samples at varying levels. The authors...Illustrate the distinction between a traditional assessment and an enhanced assessment. Describe specific differentiated activities so each student may consistently receive instruction geared to specific need. Provide teachers with Questions to Assess to determine what each child understands about the math concept. Show how to move students to higher-level mathematics thinking and to apply math concepts. Include extension activities to offer challenging work for children who have achieved skill mastery level. Each activity states a goal, the materials needed, a description of the activity, as well as specific questions to ask students. The assessments and activities are aligned with the Common Core State Standards for Mathematics and the expectations described by the National Council of Teachers of Mathematics. This resource will help teachers, principals, and curriculum directors identify students' levels of understanding about mathematics and provide concrete resources for remediation, instruction, and enrichment. These books are also an excellent resource for use during workshops and in-class observations. Provide targeted mathematics instruction for every child. These books combine formative assessment with practical activities to differentiate the elementary classroom. The formative assessments include student work samples at varying levels. The authors... Illustrate the distinction between a traditional assessment and an enhanced assessment. Describe specific differentiated activities so each student may consistently receive instruction geared to specific need. Provide teachers with Questions to Assess to determine what each child understands about the math concept. Show how to move students to higher-level mathematics thinking and to apply math concepts. Include extension activities to offer challenging work for children who have achieved skill mastery level. Each activity states a goal, the materials needed, a description of the activity, as well as specific questions to ask students. The assessments and activities are aligned with the Common Core State Standards for Mathematics and the expectations described by the National Council of Teachers of Mathematics. This resource will help teachers, principals, and curriculum directors identify students' levels of understanding about mathematics and provide concrete resources for remediation, instruction, and enrichment. These books are also an excellent resource for use during workshops and in-class observations. |
formative assessments in math: Mathematics Formative Assessment Page Keeley, Cheryl Rose Tobey, 2011-09-15 There is a substantive body of research that indicates formative assessment can significantly improve student learning. Yet, this same research shows that the features of formative assessment that impact student achievement are sadly missing from many classrooms (Black, et al., 2003). This book provides teachers with guidance and suggestions for using formative assessment to improve teaching and learning in the mathematics classroom, and identifies and describes practical techniques teachers can use to build a rich repertoire of formative assessment strategies. The acronym, FACT, is used to label the techniques included in this book. FACT stands for Formative Assessment Classroom Technique. Through the varied use of FACTs, explicitly tied to a purpose for gathering information about or promoting students' thinking and learning, teachers can focus on what works best for learning and design or modify lessons to fit the needs of the students--Provided by publisher. |
formative assessments in math: A Fresh Look at Formative Assessment in Mathematics Teaching Edward A. Silver, Valerie L. Mills, 2018 |
formative assessments in math: How I Wish I'd Taught Maths Craig Barton, 2018 Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom. |
formative assessments in math: How to Assess While You Teach Math Dana Islas, 2011 How to Assess While You Teach Math is the ideal resource for further understanding the process of formative assessment in addition to improving your teaching of mathematics. All lessons are correlated to the Common Core State Standards for Mathematics and Standards for Mathematical Practice. |
formative assessments in math: Using Formative Assessment to Differentiate Mathematics Instruction, Grades 410 Leslie Laud, 2011-03-28 A Joint Publication with National Council of Teachers of Mathematics. |
formative assessments in math: Uncovering Student Thinking in Mathematics Cheryl M. Rose, Leslie Minton, Carolyn Arline, 2006-12-20 Uncovering Student Thinking in Mathematics shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who ′seek to understand before being understood.′ —From the Foreword by Anne Davies A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers. —Richard H. Audet, Associate Professor, Roger Williams University Use formative assessment probes to take the guesswork out of mathematics instruction and improve learning! Students learn at varying rates, and if a misconception in mathematics develops early, it may be carried from year to year and obstruct a student′s progress. To identify fallacies in students′ preconceived ideas, Uncovering Student Thinking in Mathematics offers educators a powerful diagnostic technique in the form of field-tested assessment probes—brief, easily administered activities to determine students′ thinking on core mathematical concepts. Designed to question students′ conceptual knowledge and reveal common understandings and misunderstandings, the probes generate targeted information for modifying mathematics instruction, allowing teachers to build on students′ existing knowledge and individually address their identified difficulties. Linked to National Council of Teachers of Mathematics standards, this invaluable handbook assists educators with: 25 ready-to-use mathematical probes Teacher guides for implementing each probe at any grade level Examples of typical obstacles and faulty thinking demonstrated by students This rich resource combines standards, educational research findings, and practical craft knowledge to help teachers deliver informed instruction that strengthens all students′ learning and achievement in mathematics. |
formative assessments in math: Using Formative Assessment to Drive Mathematics Instruction in Grades 3-5 Jennifer Taylor-Cox, Christine Oberdorf, 2014-06-11 Provide targeted mathematics instruction for every child. These books combine formative assessment with practical activities to differentiate the elementary classroom. The formative assessments include student work samples at varying levels. The authors... Illustrate the distinction between a traditional assessment and an enhanced assessment. Describe specific differentiated activities so each student may consistently receive instruction geared to specific need. Provide teachers with Questions to Assess to determine what each child understands about the math concept. Show how to move students to higher-level mathematics thinking and to apply math concepts. Include extension activities to offer challenging work for children who have achieved skill mastery level. Each activity states a goal, the materials needed, a description of the activity, as well as specific questions to ask students. The assessments and activities are aligned with the Common Core State Standards for Mathematics and the expectations described by the National Council of Teachers of Mathematics. This resource will help teachers, principals, and curriculum directors identify students' levels of understanding about mathematics and provide concrete resources for remediation, instruction, and enrichment. These books are also an excellent resource for use during workshops and in-class observations. |
formative assessments in math: Mathematics Formative Assessment, Volume 1 Page Keeley, Cheryl Rose Tobey, 2011-09-15 Transform your mathematics instruction with this rich collection of formative assessment techniques Award-winning author Page Keeley and mathematics expert Cheryl Rose Tobey apply the successful format of Keeley′s best-selling Science Formative Assessment to mathematics. They provide 75 formative assessment strategies and show teachers how to use them to inform instructional planning and better meet the needs of all students. Research shows that formative assessment has the power to significantly improve learning, and its many benefits include: Stimulation of metacognitive thinking Increased student engagement Insights into student thinking Development of a discourse community The authors also provide important guidance with each technique, including usage tips and caveats, implementation examples, and suggested modifications. With practical strategies that are relevant for all grades and topic areas, Mathematics Formative Assessment provides the tools to transform teaching and learning in your classroom. |
formative assessments in math: INFORMative Assessment Jeane M. Joyner, Mari Muri, 2011 Teachers can change classroom practices so that the information they gather through formative assessment strategies (good questions; written, oral, and self-assessments; mathematically rich tasks) supports their instructional decisions and leads to greater student learning and long-term success-- |
formative assessments in math: Uncovering Student Thinking in Mathematics, Grades K-5 Cheryl Rose Tobey, Leslie Minton, 2010-10-04 This book provides 25 easily administered assessments of learners' math knowledge that help teachers monitor learning in real time and improve all students' math skills. |
formative assessments in math: Handbook of Formative Assessment in the Disciplines Heidi L. Andrade, Randy E. Bennett, Gregory J. Cizek, 2019-05-14 The Handbook of Formative Assessment in the Disciplines meaningfully addresses current developments in the field, offering a unique and timely focus on domain dependency. Building from an updated definition of formative assessment, the book covers the integration of measurement principles into practice; the operationalization of formative assessment within specific domains, beyond generic strategies; evolving research directions including student involvement and self-regulation; and new approaches to the challenges of incorporating formative assessment training into pre-service and in-service educator training. As supporters of large-scale testing programs increasingly consider the potential of formative assessments to improve teaching and learning, this handbook advances the subject through novel frameworks, intersections of theory, research, and practice, and attention to discernible disciplines. Written for instructors, graduate students, researchers, and policymakers, each chapter provides expert perspectives on the procedures and evaluations that enable teachers to adapt teaching and learning in-process toward student achievement. |
formative assessments in math: Assessment For Learning Black, Paul, Harrison, Chris, Lee, Clara, 2003-09-01 Assessment for Learning is based on a two-year project involving thirty-six teachers in schools in Medway and Oxfordshire. After a brief review of the research background and of the project itself, successive chapters describe the specific practices which teachers found fruitful and the underlying ideas about learning that these developments illustrate. Later chapters discuss the problems that teachers encountered when implementing the new practices in their classroom and give guidance for school management and LEAs about promoting and supporting the changes. --from publisher description |
formative assessments in math: Bringing Math Students Into the Formative Assessment Equation Susan Janssen Creighton, Cheryl Rose Tobey, Eric Karnowski, Emily R. Fagan, 2015-01-21 Make formative assessment work for you—and your math students! Finally, formative assessment that adds up! Bringing Math Students Into the Formative Assessment Equation is the ultimate resource for helping teachers implement formative assessment in the middle school mathematics classroom. And it’s much more than that. With this research-based, teacher-tested guide, you won’t just learn effective teaching strategies—you’ll turn your students into self-regulated learners. They’ll monitor and assess their own progress—and communicate to you about it! Features include: A clear and manageable six-aspect instructional model Detailed strategies for helping students own their successes Real-life examples from middle school mathematics teachers Useful resources and a companion website to help you implement formative assessment in your classroom Formative assessment isn’t just for teachers anymore. With the help of this essential resource, you’ll work together with your students toward a common goal of math success. This book is outstanding. I would recommend it to any math educator. The depth of research integrated into practice is extensive and, as a result, it is the most practical book I have come across related to formative assessment and mathematics The self-regulation aspects, as well as the ownership and involvement emphasized in the book, went beyond the traditional cognitive strategies endorsed in most books. Marc Simmons, Principal Ilwaco Middle School, Ocean Beach School District, Long Beach, WA The ideas in this book are brought to life with examples of teachers and students in the classroom. The teacher voices, comments, and quotes lend credibility and are a big component of the book’s strengths as well as the visuals and graphics. Rita Tellez, Math Coordinator Ysleta Independent School District, El Paso, TX |
formative assessments in math: The Formative 5 Francis (Skip) Fennell, Beth McCord Kobett, Jonathan A. Wray, 2016-12-15 Move the needle on math instruction with these 5 assessment techniques! Mathematics education experts Fennell, Kobett, and Wray offer five of the most impactful and proven formative assessment techniques you can implement—Observations, Interviews, “Show Me,” Hinge Questions, and Exit Tasks— every day. You’ll find that this palette of classroom-based techniques will truly assess learning and inform teaching. This book gives you a concise, research-based, classroom-dedicated plan with lots of tools to guide your daily use of The Formative 5. K-8 teachers will learn to Directly connect assessment to planning and teaching Engineer effective classroom questioning, discussions, and learning tasks Provide success criteria and feedback that moves students forward Includes a book study guide, samples, and a companion website with downloadables and multi-media examples. |
formative assessments in math: Common Formative Assessment Kim Bailey, Chris Jakicic, 2011-10-11 Teams that engage in designing, using, and responding to common formative assessments are more knowledgeable about their own standards, more assessment literate, and able to develop more strategies for helping all students learn. In this conversational guide, the authors offer tools, templates, and protocols to incorporate common formative assessments into the practices of a PLC to monitor and enhance student learning |
formative assessments in math: Embedded Formative Assessment Dylan Wiliam, 2011-11-01 Formative assessment plays an important role in increasing teacher quality and student learning when it’s viewed as a process rather than a tool. Emphasizing the instructional side of formative assessment, this book explores in depth the use of classroom questioning, learning intentions and success criteria, feedback, collaborative and cooperative learning, and self-regulated learning to engineer effective learning environments for students. |
formative assessments in math: Mathematics Inside the Black Box Dylan Wiliam, King's College (London, England). Dept. of Education and Professional Studies, 2006 |
formative assessments in math: Assessment in Mathematics Education Christine Suurtamm, Denisse R. Thompson, Rae Young Kim, Leonora Diaz Moreno, Nathalie Sayac, Stanislaw Schukajlow, Edward Silver, Stefan Ufer, Pauline Vos, 2016-07-07 This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them. The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes: ·Purposes, Traditions and Principles of Assessment ·Design of Assessment Tasks ·Classroom Assessment in Action ·Interactions of Large-Scale and Classroom Assessment ·Enhancing Sound Assessment Knowledge and Practices It also suggests areas for future research in assessment in mathematics education. |
formative assessments in math: Math Intervention P-2 Jennifer Taylor-Cox, 2016-03-10 Help all of your students reach success in math! This essential book, from bestselling author and consultant Jennifer Taylor-Cox, is filled with suggestions that teachers and RTI/MTSS specialists can use to target instruction for struggling students in PreK-2. You’ll find out how to diagnose academic weaknesses, differentiate instruction, use formative assessments, offer corrective feedback, and motivate students with games and activities. The book’s practical features include... Directions for incorporating formative assessments; Explanations of successful strategies for intervention; Important math terms to use with students; Games for active learning with printable boards; Cognitive demand questions ranging from easy to complex; and Rigorous problems to help you gather pre and post data. In this enhanced second edition, you’ll find correlations to the Common Core throughout, as well as a variety of brand new, rigorous problems designed to mirror those on CCSS assessments such as the PARCC and SBAC. Bonus! The book is accompanied by free eResources on our website, www.routledge.com/9781138915626. These eResources include an Answer Key with Scoring Guide and a handy Progress Monitoring Tool that you can use to track each student’s growth, record notes, and share data with parents, administrators, and other educators. The eResources also contain printable versions of the games in the book so that you can easily download and print them for classroom use. |
formative assessments in math: Working Inside the Black Box Paul Black, Christine Harrison, Clare Lee, 2004 Offers practical advice on using and improving assessment for learning in the classroom. |
formative assessments in math: Uncovering Student Ideas in Science: 25 formative assessment probes Page Keeley, 2005 V. 1. Physical science assessment probes -- Life, Earth, and space science assessment probes. |
formative assessments in math: Mathematics Formative Assessment, Volume 2 Page Keeley, Cheryl Rose Tobey, 2016-12-08 This one-of-a-kind resource helps you build a bridge between your students’ initial ideas and correct mathematical thinking. Includes an annotated reference guide. |
formative assessments in math: Mathematics Formative Assessment, Volume 1 Page Keeley, Cheryl Rose Tobey, 2011-09-15 Transform your mathematics instruction with this rich collection of formative assessment techniques Award-winning author Page Keeley and mathematics expert Cheryl Rose Tobey apply the successful format of Keeley’s best-selling Science Formative Assessment to mathematics. They provide 75 formative assessment strategies and show teachers how to use them to inform instructional planning and better meet the needs of all students. Research shows that formative assessment has the power to significantly improve learning, and its many benefits include: Stimulation of metacognitive thinking Increased student engagement Insights into student thinking Development of a discourse community |
formative assessments in math: Classroom Assessment in Mathematics Denisse R. Thompson, Megan Burton, Annalisa Cusi, David Wright, 2018-03-01 This book consists of 13 papers developed by participants in the ICME 13 Topic Study Group 40 on Classroom Assessment. The individual papers discuss various aspects of classroom assessment, focusing particularly on formative assessment as assessment for learning, and are grouped into four main sections: Examples of Classroom Assessment in Action, Technology as a Tool for Classroom Assessment, Statistical Models for Formative Assessment, and Engaging Teachers in Formative Assessment. The book opens with a brief discussion of the use of formative assessment as a critical component of the teaching–learning process and concludes with an overview of lessons learned and ideas for future research. It is of interest to classroom teachers, university teacher educators, professional development providers and school supervisors. |
formative assessments in math: Uncovering Student Thinking About Mathematics in the Common Core, Grades K2 Cheryl Rose Tobey, Emily R. Fagan, 2013-06-12 Get to the core of your students’ understanding of math! Quickly and reliably identify your primary students’ math knowledge with these convenient and easy-to-implement diagnostic tools! Tobey and Fagan provide 25 new assessments specifically for Grades K–2 and directly aligned with the Common Core. Organized by strand, the probes will enable you to: Quickly and objectively evaluate each child’s prior knowledge of basic math and numeracy Systematically address common mistakes and obstacles before they become long-term problems Make sound instructional choices to improve all students’ math skills |
formative assessments in math: Theorizing STEM Education in the 21st Century Kehdinga George Fomunyam, 2020-02-26 Theorising STEM Education in the 21st Century is a book that captures the essence of Science, Technology, Engineering and Mathematics and the intricacies of STEM education in the contemporary society. It explores STEM as an interdisciplinary field as well as the individual disciplines that make up STEM. This ensures the field of STEM as a whole is theorised. The book provides critical insight on STEM education from Cairo to Cape Town or from America to Indonesia. With a team of authors from universities across the world, the book is a vital contribution to critical scholarship on STEM education in contemporary times. |
formative assessments in math: Wiliam & Leahy's Five Formative Assessment Strategies in Action Kate Jones, 2021-09-13 Written under the guidance and with the support of Dylan Wiliam, Kate Jones writes about five formative assessment strategies in action in the classroom, with a foreword from Professor John Hattie. Building on the highly successful work of Wiliam and Siobhan Leahy, ideas are shared and misconceptions with formative assessment are addressed with lots of practical advice. Formative assessment in action focuses on five evidence-informed strategies that the teacher can use to support their learners to make progress. Formative assessment can help both the teacher and student understand what needs to be learned and how this can be achieved. During the learning process, formative assessment can identify students' progress as well as highlighting gaps in their knowledge and understanding, therefore giving the teacher useful insight as to what feedback and instruction can be provided to continue to move learners forward. Formative assessment takes place during the learning process. It continually informs the teacher and student as to how learning can move forward as it is happening. This is different to summative assessment, which focuses on the evaluation of student learning at the end of the process. There's a range of case studies from different subjects and key stages to show how formative assessment can be embedded across a curriculum successfully. |
formative assessments in math: 25 Quick Formative Assessments for a Differentiated Classroom Judith Dodge, 2009 Presents a variety of assessments, lesson plans, and activities for use across the curriculum. |
formative assessments in math: Math Intervention 3-5 Jennifer Taylor-Cox, 2016-03-10 Help all of your students reach success in math! This essential book, from bestselling author and consultant Jennifer Taylor-Cox, is filled with suggestions that teachers and RTI/MTSS specialists can use to target instruction for struggling students in grades 3-5. You’ll learn how to diagnose academic weaknesses, differentiate instruction, use formative assessments, offer corrective feedback, and motivate students with games and activities. The book’s practical features include... Directions for incorporating formative assessments; Explanations of successful strategies for intervention; Important math terms to use with students; Games for active learning with printable boards; Cognitive demand questions ranging from easy to complex; and Rigorous problems to help you gather pre and post data. In this enhanced second edition, you’ll find correlations to the Common Core throughout, as well as a variety of brand new, rigorous problems designed to mirror those on CCSS assessments. Bonus! The book is accompanied by free eResources on our website, www.routledge.com/9781138915695. These eResources include an Answer Key with Scoring Guide and a handy Progress Monitoring Tool that you can use to track each student’s growth, record notes, and share data with parents, administrators, and other educators. The eResources also contain printable versions of the games in the book so that you can easily download and print them for classroom use. |
formative assessments in math: 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. |
formative assessments in math: Formative Assessment Margaret Heritage, 2010-06-14 A practical, in-depth guide to implementing formative assessment in your classroom! Formative assessment allows teachers to identify and close gaps in student understanding and move learning forward. This research-based book walks readers through every step of the process and offers illustrative examples across a range of subject areas and grade levels. This book explains how to: Clearly articulate learning progressions, learning goals, and success criteria Select strategies for assessment and provide quality feedback Engage students in self-assessment and self-management Create a classroom environment that values feedback as part of the learning process |
formative assessments in math: Standards-based Mathematics Assessment in Middle School Thomas A. Romberg, 2004 This volume takes an in-depth look at the problems and practices involved in conducting formative assessments in middle school mathematics classrooms. In these chapters, researchers and teachers identify the challenges teachers faced as they attempted to implement new assessment procedures, moving from more traditional methods to an emphasis in the quality of student work. This authoritative book: Documents the shift from traditional ways of judging student performance (tests to measure what students know) to reform notions of mathematical literacy (documenting students' growth in understanding specific content domains); Discusses four key steps in the change process that helped teachers to accomplish the necessary shift in assessment practices. Includes two chapters written by teachers that describe their personal experiences with implementing these new practices in the classroom and outlines a professional development program that evolved as a consequence of the work done by the teachers and students discussed in this book. |
formative assessments in math: A Focus on Addition and Subtraction Caroline Ebby, Elizabeth Hulbert, Rachel Broadhead, 2020-11-23 This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ 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 focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter 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; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge 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. |
formative assessments in math: The Knowledge Gap Natalie Wexler, 2020-08-04 The untold story of the root cause of America's education crisis--and the seemingly endless cycle of multigenerational poverty. It was only after years within the education reform movement that Natalie Wexler stumbled across a hidden explanation for our country's frustrating lack of progress when it comes to providing every child with a quality education. The problem wasn't one of the usual scapegoats: lazy teachers, shoddy facilities, lack of accountability. It was something no one was talking about: the elementary school curriculum's intense focus on decontextualized reading comprehension skills at the expense of actual knowledge. In the tradition of Dale Russakoff's The Prize and Dana Goldstein's The Teacher Wars, Wexler brings together history, research, and compelling characters to pull back the curtain on this fundamental flaw in our education system--one that fellow reformers, journalists, and policymakers have long overlooked, and of which the general public, including many parents, remains unaware. But The Knowledge Gap isn't just a story of what schools have gotten so wrong--it also follows innovative educators who are in the process of shedding their deeply ingrained habits, and describes the rewards that have come along: students who are not only excited to learn but are also acquiring the knowledge and vocabulary that will enable them to succeed. If we truly want to fix our education system and unlock the potential of our neediest children, we have no choice but to pay attention. |
formative assessments in math: Assessing Middle and High School Mathematics & Science Sheryn Spencer-Waterman, 2013-08-16 For middle and high school teachers of mathematics and science, this book is filled with examples of instructional strategies that address students’ readiness levels, interests, and learning preferences. It shows teachers how to formatively assess their students by addressing differentiated learning targets. Included are detailed examples of differentiated formative assessment schedules, plus tips on how to collaborate with others to improve assessment processes. Teachers will learn how to adjust instruction for the whole class, for small groups, and for individuals. They will also uncover step-by-step procedures for creating their own lessons infused with opportunities to formatively assess students who participate in differentiated learning activities. |
formative assessments in math: Assessing Math Concepts Kathy Richardson, 2002 Assessing math concepts is a continuum of assessments that focus on important core concepts and related critical learning phases that must be in place for children to understand and be successful in mathematics. This series is based on the premise that teachers can provide more effective instruction when they are aware of the essential steps that children move through in developing an understanding of foundational mathematical ideas. The assessment tools presented here provide teachers with the information they need to determine precisely what children need to learn. Students progress confidently when teachers are able to provide appropriately challenging learning experiences. - Back cover |
formative assessments in math: Mastering Formative Assessment Moves Brent Duckor, Carrie Holmberg, 2017-06-27 How do you know if students are with you at the beginning, middle, and end of a lesson? Can formative assessment offer a key to better teaching and learning during instruction? What if you could blend different formative assessment moves in your classroom, with intention and care for all students, to help make better instructional decisions on the fly and enjoy more teachable moments? Educators Brent Duckor and Carrie Holmberg invite you on the journey to becoming a formative assessor. They encourage you to focus on these seven research-based, high-leverage formative assessment moves: Priming--building on background knowledge and creating a formative assessment–rich, equitable classroom culture Posing--asking questions in relation to learning targets across the curriculum that elicit Habits of Mind Pausing--waiting after powerful questions and rich tasks to encourage more student responses by supporting them to think aloud and use speaking and listening skills related to academic language Probing--deepening discussions, asking for elaborations, and making connections using sentence frames and starters Bouncing--sampling student responses systematically to broaden participation, manage flow of conversation, and gather more “soft data” for instructional use Tagging--describing and recording student responses without judgment and making public how students with different styles and needs approach learning in real-time Binning--interpreting student responses with a wide range of tools, categorizing misconceptions and “p-prims,” and using classroom generated data to make more valid and reliable instructional decisions on next steps in the lesson and unit Each chapter explores a classroom-tested move, including foundational research, explaining how and when to best use it, and describing what it looks like in practice. Highlights include case studies, try-now tasks and tips, and advice from beginning and seasoned teachers who use these formative assessment moves in their classrooms. |
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FORMATIVE Definition & Meaning - Merriam-Webster
The meaning of FORMATIVE is giving or capable of giving form : constructive. How to use formative in a sentence. …
Formative - Clever
Jul 23, 2019 · Formative is a webapp for classrooms that allows teachers to create engaging, live assignments that students answer on any device. The …
FORMATIVE | English meaning - Cambridge Dictionary
FORMATIVE definition: 1. relating to the time when someone or something is starting to develop in character, and …
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FORMATIVE Definition & Meaning - Merriam-Webster
The meaning of FORMATIVE is giving or capable of giving form : constructive. How to use formative in a sentence. Did you know?
Formative - Clever
Jul 23, 2019 · Formative is a webapp for classrooms that allows teachers to create engaging, live assignments that students answer on any device. The responses …
FORMATIVE | English meaning - Cambridge Dictionary
FORMATIVE definition: 1. relating to the time when someone or something is starting to develop in character, and having…. Learn …