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| examples of dok questions for math: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
| examples of dok questions for math: Now That's a Good Question! Erik M. Francis, 2016-07-22 In this book, Erik M. Francis explores how one of the most fundamental instructional strategies—questioning—can provide the proper scaffolding to deepen student thinking, understanding, and application of knowledge. You'll learn: Techniques for using questioning to extend and evaluate student learning experiences. Eight different kinds of questions that challenge students to demonstrate higher-order thinking and communicate depth of knowledge. How to rephrase the performance objectives of college and career readiness standards into questions that engage and challenge students. Francis offers myriad examples of good questions across content areas and grade levels, as well as structures to help teachers create and use the different kinds of questions. By using this book to fine-tune your approach to questioning, you can awaken the spirit of inquiry in your classroom and help students deepen their knowledge, understanding, and ability to communicate what they think and know. |
| examples of dok questions for math: Making Every Maths Lesson Count Emma McCrea, 2019-05-01 In Making Every Maths Lesson Count: Six principles to support great maths teaching, experienced maths teacher and lecturer Emma McCrea takes away the guesswork as she sums up the key components of effective maths teaching. Maths classrooms are incredibly complex places. At any given time, the factors influencing the effectiveness of your teaching are boundless and this can lead to relying on intuition as to what might work best. This book aims to signpost a route through this complexity. Writing in the practical, engaging style of the award-winning Making Every Lesson Count, Emma McCrea helps teachers to move beyond trial and error by sharing evidence-informed tips and suggestions on how they can nudge the impact of their teaching in the right direction. Making Every Maths Lesson Count is underpinned by six pedagogical principles challenge, explanation, modelling, practice, feedback and questioning and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. The book draws out the key findings from the latest research on memory, learning and motivation and each chapter features numerous worked examples to demonstrate the theory in action, together with a concluding series of questions that will help maths practitioners relate the content to their own classroom practice. Furthermore, Emma's writing offers clarity around the language of maths teaching and learning, and also delves into the finer points of how to identify and address any misconceptions that students may hold. Written for new and experienced practitioners alike, this gimmick-free guide provides sensible solutions to perennial problems and inspires a rich, challenging and evidence-based approach to the teaching of maths. Suitable for maths teachers of students aged 11 to 18 years, and for primary school maths specialists. |
| examples of dok questions for math: Making Number Talks Matter Cathy Humphreys, Ruth E. Parker, 2015 Making Number Talks Matter is about the myriad decisions facing teachers as they make this fifteen-minute daily routine a vibrant and vital part of their mathematics instruction. Throughout the book, Cathy Humphreys and Ruth Parker offer practical ideas for using Number Talks to help students learn to reason numerically and build a solid foundation for the study of mathematics. This book will be an invaluable resource whether you are already using Number Talks or not; whether you are an elementary, middle school, high school, or college teacher; or even if you are a parent wanting to support your child with mathematics. Using insight gained from many years of doing Number Talks with students of all ages, Cathy and Ruth address questions to ask during Number Talks, teacher moves that turn the thinking over to students, the mathematics behind the various strategies, and ways to overcome bumps in the road. If you've been looking for ways to transform your mathematics classroom--to bring sense-making and divergent thinking to the foreground, to bring the Standards for Mathematical Practice to life, and to bring joy back into your instruction--this book is for you. |
| examples of dok questions for math: A Taxonomy for Learning, Teaching, and Assessing Lorin W. Anderson, David R. Krathwohl, 2001 This revision of Bloom's taxonomy is designed to help teachers understand and implement standards-based curriculums. Cognitive psychologists, curriculum specialists, teacher educators, and researchers have developed a two-dimensional framework, focusing on knowledge and cognitive processes. In combination, these two define what students are expected to learn in school. It explores curriculums from three unique perspectives-cognitive psychologists (learning emphasis), curriculum specialists and teacher educators (C & I emphasis), and measurement and assessment experts (assessment emphasis). This revisited framework allows you to connect learning in all areas of curriculum. Educators, or others interested in educational psychology or educational methods for grades K-12. |
| examples of dok questions for math: K-8 Digital Citizenship Curriculum Ask a Tech Teacher, 2019-09-21 9 grade levels. 17 topics. 46 lessons. 46 projects. A year-long curriculum that covers everything you need to discuss on internet safety and efficiency. Digital Citizenship–probably one of the most important topics students will learn between kindergarten and 8th and too often, teachers are thrown into it without a roadmap. Well, here it is–your guide to what our children must know at what age to thrive in the community called the internet. It’s a roadmap for blending all pieces into a cohesive, effective student-directed cyber-learning experience that accomplishes ISTE’s general goals |
| examples of dok questions for math: Because of Mr. Terupt Rob Buyea, 2011-10-11 Seven students are about to have their lives changed by one amazing teacher in this school story sequel filled with unique characters every reader can relate to. It’s the start of a new year at Snow Hill School, and seven students find themselves thrown together in Mr. Terupt’s fifth grade class. There’s . . . Jessica, the new girl, smart and perceptive, who’s having a hard time fitting in; Alexia, a bully, your friend one second, your enemy the next; Peter, class prankster and troublemaker; Luke, the brain; Danielle, who never stands up for herself; shy Anna, whose home situation makes her an outcast; and Jeffrey, who hates school. They don’t have much in common, and they’ve never gotten along. Not until a certain new teacher arrives and helps them to find strength inside themselves—and in each other. But when Mr. Terupt suffers a terrible accident, will his students be able to remember the lessons he taught them? Or will their lives go back to the way they were before—before fifth grade and before Mr. Terupt? Find out what happens in sixth and seventh grades in Mr. Terupt Falls Again and Saving Mr. Terupt. And don't miss the conclusion to the series, Goodbye, Mr. Terupt, coming soon! The characters are authentic and the short chapters are skillfully arranged to keep readers moving headlong toward the satisfying conclusion.--School Library Journal, Starred |
| examples of dok questions for math: Ditch That Textbook Matt Miller, 2015-04-13 Textbooks are symbols of centuries-old education. They're often outdated as soon as they hit students' desks. Acting by the textbook implies compliance and a lack of creativity. It's time to ditch those textbooks--and those textbook assumptions about learning In Ditch That Textbook, teacher and blogger Matt Miller encourages educators to throw out meaningless, pedestrian teaching and learning practices. He empowers them to evolve and improve on old, standard, teaching methods. Ditch That Textbook is a support system, toolbox, and manifesto to help educators free their teaching and revolutionize their classrooms. |
| examples of dok questions for math: Building Thinking Classrooms in Mathematics, Grades K-12 Peter Liljedahl, 2020-09-28 A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling non-thinking student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before. |
| examples of dok questions for math: 5 Principles of the Modern Mathematics Classroom Gerald Aungst, 2015-10-09 Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended! Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today. Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces |
| examples of dok questions for math: Understanding by Design Grant P. Wiggins, Jay McTighe, 2005 What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike. |
| examples of dok questions for math: Proficiency Scales for the New Science Standards Robert J, Marzano, David C. Yanoski, 2015-08-17 Transform an in-depth understanding of the new science standards into successful classroom practice. You’ll learn how to align instruction and assessment with the science standards and create proficiency scales that can be used to plan all types of lessons. Discover hundreds of ready-to-use proficiency scales derived from the Next Generation Science Standards that are applicable to specific areas of science instruction. |
| examples of dok questions for math: Save Me a Seat (Scholastic Gold) Sarah Weeks, Gita Varadarajan, 2016-05-10 A new friend could be sitting right next to you. Save Me a Seat joins the Scholastic Gold line, which features award-winning and beloved novels. Includes exclusive bonus content!Joe and Ravi might be from very different places, but they're both stuck in the same place: SCHOOL.Joe's lived in the same town all his life, and was doing just fine until his best friends moved away and left him on his own. Ravi's family just moved to America from India, and he's finding it pretty hard to figure out where he fits in.Joe and Ravi don't think they have anything in common -- but soon enough they have a common enemy (the biggest bully in their class) and a common mission: to take control of their lives over the course of a single crazy week. |
| examples of dok questions for math: Principles to Actions National Council of Teachers of Mathematics, 2014-02 This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning. |
| examples of dok questions for math: The Greedy Triangle Marilyn Burns, 1994 In this introduction to polygons, a triangle convinces a shapeshifter to make him a quadrilateral and later a pentagon, but discovers that where angles and sides are concerned, more isn't always better. |
| examples of dok questions for math: A Local Assessment Toolkit to Promote Deeper Learning Karin Hess, 2018-02-28 For years, educators have turned to the Hess Cognitive Rigor Matrices (CRM) when it comes to assessment. Now for the first time, the modules are packaged into one resource to help teachers evaluate the quality and premise of their current assessment system. |
| examples of dok questions for math: Deconstructing Depth of Knowledge Erik M. Francis, 2021-11-05 Depth of knowledge (DOK) has become a priority for many schools. But if your understanding of DOK is a little cloudy, you're not alone. This resource is your one-stop-shop for learning what it is, who it's for, and how to use and sustain it. Ultimately, you will discover how to plan and provide learning experiences that are academically rigorous, socially and emotionally supportive, and student responsive. Learn how DOK is a different, deeper way of approaching teaching and learning. Explore the different DOK levels and how they relate to instruction. Understand DOK's relationship with standards and assessment. Designate correct levels based on learning needs. Acquire strategies for helping students engage with DOK on a deeper level. Contents: Introduction: What Depth of Knowledge Is Not Chapter 1: What Exactly Is Depth of Knowledge? Chapter 2: What Are DOK Teaching and Learning Experiences? Chapter 3: How to Teach and Learn for Depth of Knowledge Chapter 4: How to Use Webb's DOK Levels as a Multi-Tiered System of Support Chapter 5: How to Deconstruct Learning Intentions for Depth of Knowledge Chapter 6: How to Designate the Depth of Knowledge Level Demanded Chapter 7: How to Construct DOK Learning Targets and Success Criteria Chapter 8: How to Ask and Address Good Questions for Depth of Knowledge Chapter 9: Let's Make a DOK! Conclusion References and Resources Index |
| examples of dok questions for math: Oranges Gary Soto, Glen Downey, Hilary Jenkins, 2009 |
| examples of dok questions for math: Math Exchanges Kassia Omohundro Wedekind, 2011 Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous math exchanges. The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like? |
| examples of dok questions for math: 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. |
| examples of dok questions for math: Unwrapping the Common Core Larry Ainsworth, 2015-06-07 Unwrapping the Common Core is a stand-alone, how-to guide for busy educators who need a proven way to work with the new standards. The process of unwrapping is a powerful tool for effectively deconstructing state standards. This easy-to-read format includes grade-specific examples of unwrapped standards, enabling educators to confidently apply this simple, proven technique for making rigorous new standards manageable. Part One describes the complete unwrapping process with examples in both English language arts and literacy and mathematics. Part Two contains 60 unwrapped Common Core English language arts and math examples, each specific to one of the four grade spans: K 2, 3 5, 6 8, and 9 12. Part Three illustrates where unwrapping fits in the big picture of an integrated standards-assessment-curriculum-instruction system. |
| examples of dok questions for math: Designing Authentic Performance Tasks and Projects Jay McTighe, Kristina J. Doubet, Eric M. Carbaugh, 2020-02-18 Aimed at the growing number of educators who are looking to move beyond covering the curriculum, Designing Authentic Performance Tasks and Projects provides a comprehensive guide to ensuring students' deeper learning—in which they can transfer their knowledge, skills, and understandings to the world beyond the classroom. Readers will learn how to * Create authentic tasks and projects to address both academic standards and 21st century skills. * Apply task frames to design performance tasks that allow voice and choice for students. * Design and use criterion-based evaluation tools and rubrics for assessment, including those for students to use in self-assessment and peer assessment. * Incorporate performance-based instructional strategies needed to prepare students for authentic performance. * Differentiate tasks and projects for all students, including those needing additional support or challenge. * Effectively manage the logistics of a performance-based classroom. * Use project management approaches to facilitate successful implementation of tasks and projects. * Develop performance-based curriculum at the program, school, and district levels. Authors Jay McTighe, Kristina J. Doubet, and Eric M. Carbaugh provide examples and resources across all grade levels and subject areas. Teachers can use this practical guidance to transform their classrooms into vibrant centers of learning, where students are motivated and engaged and see relevance in the work they are doing. |
| examples of dok questions for math: Number Talks Sherry Parrish, 2010 A multimedia professional learning resource--Cover. |
| examples of dok questions for math: Baby Steps Millionaires Dave Ramsey, 2022-01-11 You Can Baby Step Your Way to Becoming a Millionaire Most people know Dave Ramsey as the guy who did stupid with a lot of zeros on the end. He made his first million in his twenties—the wrong way—and then went bankrupt. That’s when he set out to learn God’s ways of managing money and developed the Ramsey Baby Steps. Following these steps, Dave became a millionaire again—this time the right way. After three decades of guiding millions of others through the plan, the evidence is undeniable: if you follow the Baby Steps, you will become a millionaire and get to live and give like no one else. In Baby Steps Millionaires, you will . . . *Take a deeper look at Baby Step 4 to learn how Dave invests and builds wealth *Learn how to bust through the barriers preventing them from becoming a millionaire *Hear true stories from ordinary people who dug themselves out of debt and built wealth *Discover how anyone can become a millionaire, especially you Baby Steps Millionaires isn’t a book that tells the secrets of the rich. It doesn't teach complicated financial concepts reserved only for the elite. As a matter of fact, this information is straightforward, practical, and maybe even a little boring. But the life you'll lead if you follow the Baby Steps is anything but boring! You don’t need a large inheritance or the winning lottery number to become a millionaire. Anyone can do it—even today. For those who are ready, it’s game on! |
| examples of dok questions for math: The On-Your-Feet Guide to Blended Learning Catlin R. Tucker, 2019-04-02 Blended learning is more than just teaching with technology; it allows teachers to maximize learning through deliberate instructional moves. This On-Your-Feet Guide zeroes in on one blended learning routine: Station Rotation. The Station Rotation model moves small groups of students through a series of online and off-line stations, building conceptual understanding and skills along the way. This On-Your-Feet-Guide provides: 7 steps to planning a Station Rotation lesson A full example of one teacher's Station Rotation A blank planning template for designing your own Station Rotation Helpful assessment strategies for monitoring learning at each station Ideas to adapt for low-tech classrooms or large class sizes Use blended learning to maximize learning and keep kids constantly engaged through your next Station Rotation lesson! Laminated, 8.5”x11” tri-fold (6 pages), 3-hole punched |
| examples of dok questions for 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. |
| examples of dok questions for math: The Outsiders S. E Hinton, 1967 |
| examples of dok questions for math: The Epic Adventures of Huggie & Stick Drew Daywalt, 2018-10-23 * A surefire read-aloud for any wannabe hero. --Booklist (starred review) From Drew Daywalt, the #1 New York Times bestselling author of The Day the Crayons Quit, comes a hilarious buddy-comedy picture book starring a grouchy stuffed bunny and a happy-go-lucky stick. When super cheerful Stick and grumpy stuffed bunny Huggie get thrown from a backpack, the adventure is on! Together this odd couple survives encounters with sea-faring pirates, raging rhinos in Africa, sword-wielding royalty in Europe, stick-eating panda bears in Asia, sharks in Australia, hungry penguins in Antarctica, and piranhas in South America--all before finally making it home to North America. A fantastically funny read-aloud about two unlikely friends and their epic journey around the world. |
| examples of dok questions for math: Now That's a Good Question! Erik M. Francis, 2016-07-22 In this book, Erik M. Francis explores how one of the most fundamental instructional strategies—questioning—can provide the proper scaffolding to deepen student thinking, understanding, and application of knowledge. You’ll learn: *Techniques for using questioning to extend and evaluate student learning experiences. *Eight different kinds of questions that challenge students to demonstrate higher-order thinking and communicate depth of knowledge. *How to rephrase the performance objectives of college and career readiness standards into questions that engage and challenge students. Francis offers myriad examples of good questions across content areas and grade levels, as well as structures to help teachers create and use the different kinds of questions. By using this book to fine-tune your approach to questioning, you can awaken the spirit of inquiry in your classroom and help students deepen their knowledge, understanding, and ability to communicate what they think and know. |
| examples of dok questions for math: Giant Pants Mark Fearing, 2017-10-10 After searching high and low for his missing pants, Belbum the giant asks his friends if he can borrow their trousers, but when none of the clothes fit him he realizes there is only one thing left for him to do--walk to the tailor in town with no pants on. |
| examples of dok questions for math: Becoming the Math Teacher You Wish You'd Had Tracy Johnston Zager, 2023-10-10 Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took. |
| examples of dok questions for math: Culturally and Linguistically Responsive Teaching and Learning (Second Edition) Sharroky Hollie, 2017-07-15 Written to address all grade levels, this K-12 classroom resource provides teachers with strategies to support their culturally and linguistically diverse students. This highly readable book by Dr. Sharroky Hollie explores the pedagogy of culturally responsive teaching, and includes tips, techniques, and activities that are easy to implement in today's classrooms. Both novice and seasoned educators will benefit from the helpful strategies described in this resource to improve the following five key areas: classroom management, academic literacy, academic vocabulary, academic language, and learning environment. Grounded in the latest research, this second edition includes an updated reference section and resources for further reading. |
| examples of dok questions for math: A Local Assessment Toolkit to Promote Deeper Learning Karin Hess, 2018-02-28 Build assessments you can really use | Unlock the how, when, what, and why Watch your system become greater than its parts by building local capacity through common language and deeper knowledge of assessment components. For years, educators have turned to the Hess Cognitive Rigor Matrices (CRM). Now for the first time, the modules are packaged into one resource to help you evaluate the quality and premise of your current assessment system. Designed as a professional development guide for long-term use by school leaders, five content-rich, topic-based modules: Offer field-tested, teacher-friendly strategies for local school test development Can be used for individual or professional development opportunities Allow for sequential or non-sequential use |
| examples of dok questions for math: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
| examples of dok questions for math: The Framework for Teaching Evaluation Instrument, 2013 Edition Charlotte Danielson, 2013 The framework for teaching document is an evolving instrument, but the core concepts and architecture (domains, components, and elements) have remained the same.Major concepts of the Common Core State Standards are included. For example, deep conceptual understanding, the importance of student intellectual engagement, and the precise use of language have always been at the foundation of the Framework for Teaching, but are more clearly articulated in this edition.The language has been tightened to increase ease of use and accuracy in assessment.Many of the enhancements to the Framework are located in the possible examples, rather than in the rubric language or critical attributes for each level of performance. |
| examples of dok questions for math: Guided Math Lessons in First Grade Nicki Newton, 2021-07-15 Guided Math Lessons in First Grade provides detailed lessons to help you bring guided math groups to life. Based on the bestselling Guided Math in Action, this practical book offers 16 lessons, taught in a round of 3—concrete, pictorial, and abstract. The lessons are based on the priority standards and cover fluency, word problems, operations and algebraic thinking, and place value. Author Dr. Nicki Newton shows you the content as well as the practices and processes that should be worked on in the lessons, so that students not only learn the content but also how to solve problems, reason, communicate their thinking, model, use tools, use precise language, and see structure and patterns. Throughout the book, you’ll find tools, templates, and blackline masters so that you can instantly adapt the lesson to your specific needs and use it right away. With the easy-to-follow plans in this book, students can work more effectively in small guided math groups—and have loads of fun along the way! |
| examples of dok questions for math: Rigor in the K–5 Math and Science Classroom Barbara R. Blackburn, Abbigail Armstrong, 2019-12-05 Learn how to incorporate rigorous activities in your math or science classroom and help students reach higher levels of learning. Expert educators and consultants Barbara R. Blackburn and Abbigail Armstrong offer a practical framework for understanding rigor and provide specialized examples for elementary math and science teachers. Topics covered include: Creating a rigorous environment High expectations Support and scaffolding Demonstration of learning Assessing student progress Collaborating with colleagues The book comes with classroom-ready tools, offered in the book and as free eResources on our website at www.routledge.com/9780367343194. |
| examples of dok questions for math: Alternate Assessments Based on Alternate Achievement Standards William D. Schafer, Robert W. Lissitz, 2009 Discover what really works in alternate assessment based on alternate achievement standards. This book gathers cutting-edge knowledge and best practices in seven states to help readers work toward accurate assessment of students with severe disabilities. |
| examples of dok questions for math: Fabulous Fractions AIMS Education Foundation, 2011 |
| examples of dok questions for math: Mathematics Framework for California Public Schools California. Curriculum Development and Supplemental Materials Commission, 1999 |
Hess’ Cognitive Rigor Matrix & Curricular Examples: Applying …
Hess’ Cognitive Rigor Matrix & Curricular Examples: Applying Webb’s Depth-of-Knowledge Levels to Bloom’s Cognitive Process Dimensions – Math/Science Revised Bloom’s Taxonomy Strategic Thinking/ Webb’s DOK Level 1 Recall & Reproduction Webb’s DOK Level 2 Skills & Concepts Webb’s DOK Level 3 Reasoning Webb’s DOK Level 4 Extended Thinking ...
Dok level 2 question examples - puwikopigab.weebly.com
Research the topic using at least __ number of sources.Whereas the third level aims to spur strategic thinking, fourth-level questions should result in products born from longer periods of critical thought.DoK questions for mathAdaptive and curriculum-aligned, Prodigy Math delivers questions that reflect Webb’s DoK levels one to three.
SBAC Math Claims Overview Smarter Balanced Assessments are
examples. (DOK 2) Target B : Construct, autonomously,12 chains of reasoning that will justify or refute propositions or conjectures. (DOK 3, 4).13 Target C: State logical assumptions being used. (DOK 2, 3) Target D: Use the technique of breaking an argument into cases. (DOK 2, 3)
Mathematics DOK Levels - Central Rivers AEA
Mathematics DOK Levels Level 1 (Recall) includes the recall of information such as a fact, definition, term, or a simple procedure, as well as performing a simple algorithm or applying a formula. That is, in mathematics, a one-step, well-defined, and straight algorithmic procedure should be included at this lowest level.
Designing Discussion Questions using Bloom’s Taxonomy: Examples
Designing Discussion Questions using Bloom’s Taxonomy: Examples* To challenge your class to address a topic at a higher level of abstraction, use questions that are developmental in nature with multiple levels of thinking. These types of questions promote critical thinking and help students to work collaboratively.
Test Preparation Booklet TEACHER EDITION - SSL.com
DOK 4 Webb’s Depth of Knowledge The assessments to be administered under PEP are designed using Webb’s Depth of Knowledge (DOK). Webb’s DOK is a cognitive demand scale that ranks assessment tasks based on the level of thinking required to complete the task. There are 4 levels: • Level 1 – Recall and Reproduction
Depth of Knowledge in the English Language Arts Classroom
DOK-1 Recall of a fact, information, or procedure. DOK-2 Use information or conceptual knowledge, two or more steps, etc. DOK-3 Use information or conceptual knowledge, two or more steps, etc. DOK-4 Requires investigation, time to think, and processing of multiple conditions.
Depth of Knowledge Flip Chart - Ohio Department of Education
2 - Level 3, it is appropriate to assign the highest level as the “DOK ceiling” for the task, but also provide opportunities at the lower DOK levels as an instructional progression (e.g., summarizing a text/DOK 2 before analyzing a text/DOK 3; making observations/DOK 2 before conducting investigation/DOK 3) (Hess, 2004 2006).
Smarter Balanced Assessment Consortium:
Depth of Knowledge (DOK): measure of complexity considering the student’s cognitive process in response to an item. There are four DOK levels, a 4 being the highest level. Common Core State Standards for Mathematical Content (CCSS-MC) Common Core State Standards for Mathematical Practice (CCSS-MP)
Mathematics Summative Assessment Blueprint - SmarterBalanced
DOK: Depth of Knowledge, consistent with the Smarter Balanced Content Specifications. The CAT algorithm will be configured to ensure the following: • For Claim 1, each student will receive at least 7 CAT items at DOK 2 or higher. • For combined Claims 2 and 4, each student will receive at least 2 CAT items at DOK 3 or higher.
Example Math Descriptors for Depth of Knowledge Levels 1 to 4
Example Math Descriptors for Depth of Knowledge Levels 1 to 4 D.O.K. Level 1: Recall & Reproduction There is usually a right answer Recall or recognize a fact, definition, term or property Apply/commute a well-known algorithm or formula (i.e. sum, quotient, etc.) Perform a specified or routine procedure
DOK Question Stems for Physical Education
Descriptors, Examples and Question Stems for Increasing Depth of Knowledge in the Classroom Developed by Dr. Norman Webb and Flip Chart developed by Myra Collins ... interpretation with specific examples? DOK 4 1) Develop a comprehensive physical activity and wellness plan. 2) Develop a practice plan to improve your skill. ...
Levels Verbs Sample Tasks KNOWLEDGE COMPREHENSION
Bloom's Taxonomy Mathematics Chart Levels Verbs Sample Tasks KNOWLEDGE Learn terms, facts, methods, procedures, concepts Draw, Recognize, Count, Group, Reproduce,
Applying Webb’s Depth-of-Knowledge (DOK) Levels in Science
assessed. When considering the highest DOK Level as the ceiling not the target, it has the potential to be assessed at Depth-of-Knowledge Levels at the ceiling, and up to the ceiling, depending upon the cognitive demand of the assessment limit. Table 2 also indicates the other DOK levels at which the assessment limit could be assessed.
Putting DOK into Practice with Hess’ Cognitive Rigor Matrix
DOK 1 Recall & Reproduction DOK 2 Skills & Concepts DOK 3 Strategic Thinking/ Reasoning DOK 4 Extended Thinking Teacher Role Questions to direct or focus attention, shows, tells, demonstrates, provides examples, examines, leads, breaks down, defines Questions to differentiate, infer, or check conceptual understanding, models, organizes/reorganizes,
Grade 6 Mathematics Instructional Toolkit - Florida Department …
standard has the corresponding DOK Level, example resources, and assessment limits with page number in the . Grade 6 Mathematics Item Specification. Domain: Ratio and Proportion . Cluster 1 (Major): Understand ratio concepts and use ratio reasoning to solve problems.
Quick Guide to Unpack Standards - lotustcg.com
www.lotustcg.com Questions, contact: Ildi Laczko-Kerr ildi@lotustcg.com 5 Grade Level and Subject: 7 Math Standard: 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. Step 1: Standard Analysis Knowledge Proportional relationships Multistep Ratio problems Percent problem Skills Use Solve Step 2: Assessment ...
AERO Math Standards 3-5 Update - PROJECT AERO
AERO. 3.NBT.1 DOK 1 Use place value understanding to round whole numbers to the nearest 10 or 100. AERO. 4.NBT.3 DOK 1 Use place value understanding to round multi-digit whole numbers to ... Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found
Kindergarten Mathematics Instructional Toolkit - Florida …
Florida has adopted Webb’s four-level Depth of Knowledge (DOK) model of content complexity as a means of classifying the cognitive demand presented by the Florida Standards. Content complexity increases as the levels progress from Level 1 Recall to Level 4 Extended Thinking. The DOK Levels are identified for each standard throughout this ...
Depth of Knowledge (DoK): Levels 1-3 DoK Definition Verbs Examples …
examples. Design investigations for a scientific problem. Construct a model of the solar system. Using the graph, predict how many teeth would be lost by all the 2nd grade classes in the school and justify your answer. Hypothesize how Dwight D. Eisenhower would react to the political situation in the Korean peninsula.
Examples Of Dok Questions (book) - archive.ncarb.org
How to Construct DOK Learning Targets and Success Criteria Chapter 8 How to Ask and Address Good Questions for Depth of Knowledge Chapter 9 Let s Make a DOK Conclusion References and Resources Index Open Middle Math Robert Kaplinsky,2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both
Mathematics Depth of Knowledge - Colorado Department of …
Mathematics: Depth of Knowledge Descriptions Colorado Department of Education – Unit of Student Assessment 201 E. Colfax Ave., Denver, CO 80203
Support Materials for Core Content for Assessment
specification and examples for each of the DOK levels for mathematics. Webb recommends that large-scale, on-demand assessments only assess Depth of Knowledge Levels 1, 2, and 3, due primarily to testing time constraints. Depth of Knowledge at Level 4 in mathematics is best reserved for local assessment. Table 2 provides examples of DOK ...
Depth of Knowledge handout for PD with stems on front and …
Title: Microsoft Word - Depth of Knowledge handout for PD with stems on front and possible activities with roles on back-2.docx Created Date: 4/21/2015 12:01:13 AM
Grades 3-5 Mathematics Item Specification Claim 3
(DOK 3, 4) Tasks used to assess this target should ask students to develop a chain of reasoning to justify or refute a conjecture. T asks for Target B might include the types of examples called for in Target A as part of this reasoning, but should do so with a lesser degree of scaffolding than tasks that assess Target A alone.
3 Grade TEKS Readiness Focus - Math GPS
©2015 Math GPS, LLC 3rd Grade TEKS Readiness Focus TEKS 3.7B determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths in problems. Activity Directions: Items Needed: Perimeter Activity, glue, scissors 1. Copy the cards and mat for each group of students. 2. Cut apart and mix the cards. 3.
Applying Webb’s Depth-of-Knowledge (DOK) Levels in Social …
2 provides three examples of one state’s social studies GLEs for high school with different “ceilings,” that is, the highest DOK Level at which a GLE should be assessed. When considering the highest DOK Level as the ceiling not the target, the GLE has the potential to be assessed at Depth-of-Knowledge Levels at the ceiling, and up to the
Stem Questions to Promote the 8 Mathematical Practices
Math Practices Proficiency Matrix Questions to Promote Use appropriate tools strategically 1. • Use the appropriate tool to find a solution 2. Select from a variety of tools the ones that can be used to solve a problem, and explain their reasoning for the selection 3. Combine various tools, including technology, explore and solve a problem
Levels of dok questions - ratojomivufal.weebly.com
levels one to three. Here's an example of a DoK question your students can encounter in Prodigy Math.This helps students build skills and exercise strategic thinking in an exciting fantasy world where answering math questions correctly allows them to progress through the story.Plus you can make your teacher account for free and start enjoying all
3 Steps to Increase Math DOK Levels - pps.net
3 Steps to Increase Math DOK Levels Step 1: Find a One-Operation Problem Procedural problems with one or two operations are easiest to modify. Other problems may also be modified but may not be as easy. Adding 2-Digit Numbers Solve. 41 + 36 = ___ Multiplying Fractions Solve. 3 7 ×2 9 = ___ Trigonometry Solve. sin𝜋 3 = ___ Step 2: Go from ...
Webb's Depth of Knowledge (DOK) - Canyons District Dual …
If there is one correct answer, it is most likely a DOK 1 or DOK 2. • DOK 1: Either you know it or you don’t • DOK 2: Make connections with known information If there is more than one answer, requiring supporting evidence, it is a DOK 3 or DOK 4. • DOK 3: Interpret implied information, provide supporting evidence and reasoning. Explain
Support Materials for Core Content for Assessment
words) from real-world and mathematical problems. DOK - 3 Webb’s DOK Levels Recall and Reproduction (DOK 1) Skills and Concepts/ Basic Reasoning (DOK 2) Strategic Thinking/ Complex Reasoning (DOK 3) Extended Thinking/ Reasoning (DOK 4) Find the next three terms in the following pattern: 2/7, 4/7, 6/7, 8/7. … Draw the next figure in the
AERO Math Standards PREK-2 Update - PROJECT AERO
AERO.K.CC.1 DOK 1 Count to 100 by ones and by tens. AERO.1. NBT.1 DOK 1,2 Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.number in the counting sequence up to 10. AERO.2.NBT.2 DOK 1 Count within 1000; skip-count
ADMIN AOS 98 DOK and the CCSS
DOK 1: Describe three characteristics of metamorphic rocks. (Requires recall) DOK 2: Describe the difference between metamorphic and igneous rocks. (Requires cogni-tive processing to determine the differences between the two types of rocks). DOK 3: Describe a model that you might use to represent the relationships that exist within the rock ...
DOK: Categories of Cognitive Engagement for Science - WebbAlign
corresponding questions, prompts, and tasks used within curriculum, instruction, and assessments. The four broad DOK Categories of Cognitive Engagement for science are described in this document. These categories do not represent a progression or sequence in terms of learning. Students may engage directly with a higher complexity task and later
Computer-Based Sample Test Scoring Guide Grade 4 Math
Sample Test Scoring Guide | Grade 4 Math 19 Grade 4 Math Sample Test Item Number Cluster Content Standard DOK 17 4.MD.B 4.MD.B.4 3 Scoring Rubric Score Description 1 The student correctly completed the line plot, or any line plot that has five points that sum to 4, providing evidence of the ability to make a line plot to display a data
Understanding Depth of Knowledge and Cognitive Complexity
Included are examples of verbs (i.e., the action). Definitions of Webb’s Depth of Knowledge Level 1 (Recall) requires the recall of information, such as a fact, definition, term, or a simple procedure, as well as performance of a simple science process or procedure. Level 1 only requires students to demonstrate a rote
Hess’ Cognitive Rigor Matrix & Curricular Examples: Applying …
Webb’s DOK Level 1 Recall & Reproduction Webb’s DOK Level 2 Skills & Concepts Webb’s DOK Level 3 Strategic Thinking/ Reasoning Webb’s DOK Level 4 Extended Thinking Remember Retrieve knowledge from long-term memory, recognize, recall, locate, identify o Recall, recognize, or locate basic facts, details, events, or ideas explicit in texts
Mathematics Grade 7 IAB - Ratio and Proportional Relationships
DOK 2, 3 DOK 2, 3 DOK 2, 3, 4 DOK 2, 3 DOK 2, 3. Target B Construct, autonomously, 12 chains of reasoning that will justify or refute propositions or conjectures. DOK 2, 3. 1 questions are represented by the targets listed in Claim 3. Mathematics Grade 7 IAB - Ratio and Proportional Relationships. DOK 2, 3, 4
5th Grade Mathematics Instructional Toolkit - Florida …
DOK Level 2: Basic Application of Skills & Concepts Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
(Examples of PISA test questions) - ERC
Examples of PISA test questions PISA contains a mixture of questions, and most students will have to answer some science, reading and mathematics questions. The combination of questions will depend on which test booklet you are randomly assigned – PISA has 13 different test booklets. Not only are the topics varied, so are the types of questions.
Practice Questions (and Answers) - Math Plane
Pythagorean Theorem: where a and b are lengths of the legs of a fight triangle and c is the length of the hypotenuse "sum of the squares of the legs is equal to the square of the hypotenuse"
Middle School CLR Lesson Mathematics – Grade 7 - Los Angeles …
DOK 2- Solve a routine problem requiring multiple steps, or the application of multiple concepts DOK 3- Analyze information within texts DOK 3- Use reasoning, planning, and evidence to support inferences DOK 4- Relate mathematical concepts to real-world applications in new situations Essential Questions
Examples Of Dok Questions For Math [PDF]
Examples Of Dok Questions For Math Kassia Omohundro Wedekind. Examples Of Dok Questions For Math: Open Middle Math Robert Kaplinsky,2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding Dr Margaret Peg Smith co author of5 Practices
Examples Of Dok Questions For Math [PDF]
Examples Of Dok Questions For Math EW Minium. Examples Of Dok Questions For Math: Open Middle Math Robert Kaplinsky,2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding Dr Margaret Peg Smith co author of5 Practices
Depth of Knowledge (DOK) Levels - CASPOnline
examples. Use voice appropriate to the purpose and audience. Identify research questions and design investigations for a scientific problem. Develop a scientific model for a complex situation. Determine the author’s purpose and describe how it affects the interpretation of a reading selection. Apply a concept in other contexts.
Examples Of Dok Questions For Math (2024)
Examples Of Dok Questions For Math Kassia Omohundro Wedekind. Examples Of Dok Questions For Math: Open Middle Math Robert Kaplinsky,2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding Dr Margaret Peg Smith co author of5 Practices
Bracken County Schools Curriculum Guide Math - Cloudinary
versa. 1.1.2 DOK 2 Use factor trees to determine prime factors of a number. Practice representing a number as a product of its primes by playing the game “Tree-rific” Factor Race. 1.5.1 DOK 2 Use the Sieve of Eratosthenes to determine prime and composite numbers. 1.5.1 DOK 2 In writing, define a prime number in your own words
DOK Question Stems - SharpSchool
• DOK 4 would most likely be the writing of a research paper or applying information from one text to another text to develop a persuasive argument. • DOK 4 requires time for extended thinking. From Depth of Knowledge – Descriptors, Examples and Question Stems for Increasing Depth of Knowledge in the Classroom Developed by
