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Uncovering Student Thinking About Mathematics in the Common Core, High School: 25 Formative Assessment Probes Cheryl Rose Tobey, Carolyn B. Arline "Not only does this book make strong connections to the CCSS, it provides a framework for teachers to improve their craft. Identifying student misconceptions is an extremely important aspect of assessment and this book provides a solid format to aid teachers." —Randy Wormald, Math Teacher Kearsarge Regional High School, Sutton, NH Take the guesswork out of high school math instruction! Helping your students master high school mathematics just got a whole lot easier! Bestselling authors Cheryl Rose Tobey and Carolyn B. Arline provide 25 detailed and grade-level specific assessment probes that promote deep learning and expert math instruction. Learn to ask the right questions to uncover where and how students commonly get confused. Focused on subconcepts within the new Common Core State Standards for Mathematics and organized by strand, the probes will help you foster new and accurate skills--while learning is underway. You’ll learn how to Quickly diagnose students’ common misconceptions and procedural mistakes Help students pinpoint areas of struggle Plan targeted instruction that builds on students’ current understandings while addressing difficulties with Algebra, Geometry,Functions, Logarithms, Statistics and Probability, Trigonometric Ratios, and more Elicit the skills and processes related to the Standards for Mathematical Practices You’ll find sample student responses, extensive Teacher Notes, and research-based tips and resources to help you instill new mathematical ideas. Includes the QUEST Cycle for effective, hands-on implementation. Now you can eliminate the guesswork once and for all and join thousands of busy high school teachers who’ve used these easy-to-implement tools to build solid math proficiency! Other Books From Corwin: 1. Tobey: Uncovering Student Thinking About Mathematics in the Common Core, Grades K–2, 978-1-4522-3003-0 2. Tobey: Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5, 978-1-4522-7024-1 3. Tobey: Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8, 978-1-4522-3088-7 Cheryl Rose Tobey is a Senior Mathematics Associate at Education Development Center (EDC). She is the implementation director for the Pathways to Mathematics Achievement Study and a mathematics specialist for the NSF-funded Formative Assessment in the Mathematics Classroom: Engaging Teachers and Students (FACETS) and Differentiated Professional Development: Building Mathematics Knowledge for Teaching Struggling Students (DPD) projects. She also serves as a project director for an Institute for Educational Science (IES) project, Eliciting Mathematics Misconceptions (EM2). Carolyn B. Arline is a secondary mathematics educator, currently teaching high school students in Maine. She also works as a teacher leader in the areas of mathematics professional development, learning communities, assessment, systematic school reform, standards-based teaching, learning and grading, student-centered classrooms, and technology. She has previously worked as a mathematics specialist at the Maine Mathematics and Science Alliance (MMSA) and continues her work with them as a consultant.
"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.
Pinpoint and reverse math misconceptions with laser-like accuracy Here’s the middle-grades math resource you’ve been waiting for! Bestselling authors Cheryl Tobey and Carolyn Arline are back with 25 entirely new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction. Learn to ask the right questions to uncover common student misconceptions. Get practical instructional ideas that build new and accurate skills--while learning is already underway. It’s all here in this detailed and grade-level specific guide. Organized by strand, the probes will enable you to: Quickly and objectively evaluate common misconceptions around fractions and decimals, linear equations, ratios and percents, statistics, and more Systematically address conceptual misunderstandings and procedural mistakes--before they become long-term problems Help students better understand areas of difficulty Plan targeted instruction that builds on students’ current understandings while addressing areas of struggle Master the essential CCSM mathematical processes and proficiencies for Grades 6-8 You’ll find sample student responses, extensive Teacher Notes, and research-based tips and resources. Eliminate the guesswork and join thousands of busy middle-grades teachers who’ve used these easy-to-implement tools to foster solid math proficiency! "This book will definitely help mathematics teachers now that the CCSS are becoming such a big part of our teaching." —Debra A. Scarpelli, Middle School Mathematics Teacher RIMLE President, PARCC/CCSS ELC Cadre for Rhode Island, and Adjunct Professor
Get to the core of your students’ understanding of math! Back by popular demand, Cheryl Tobey and new coauthor Emily Fagan bring you 25 entirely new formative assessment probes—this time specifically for Grades K–2 and directly aligned to the Common Core. Thousands of teachers have already discovered that using probes may be the single-best way to identify students’ understandings and misunderstandings of key math concepts and then follow-up with the most appropriate instructional choices. Organized by strand, the probes will enable you to: Objectively evaluate each child’s prior basic numeracy and math knowledge Systematically address common mistakes and obstacles before they become long-term problems Help students integrate new mathematical ideas and immediately pinpoint areas of struggle Plan targeted instruction that builds on students’ current understandings while addressing their identified difficulties With the help of these probes, K–2 teachers will eliminate once and for all the perception "some kids just aren’t good at math" and put all students on the path of lifelong proficiency. "Tobey and Fagan provide both a roadmap and GPS for navigating the Common Core Standards for Mathematics. In a time when teachers are asked to do more and more, this is a fabulous resource to guide instruction that will meet the needs of individual students. I was so impressed with the content, I found myself taking copious notes as I read." —Roxie R. Ahlbrecht, Math Intervention Specialist Lowell MST, Sioux Falls, SD "These probes get to the heart of the Common Core Standards. The Teacher Notes provide valuable guidance on interpreting student results and using the information to inform instruction." —Donna Boucher, K–5 Math Instructional Coach Morton Ranch Elementary School, Katy ISD, Katy, TX
Take the guesswork out of grades 3-5 math assessment! Quickly pinpoint and reverse your students’ common math difficulties with this detailed and easy-to-follow resource from best-selling authors Cheryl Tobey and Carolyn Arline. Twenty research-based assessment probes help you ask the right questions to uncover just where your students get confused – while learning is already underway. These CCSM-aligned probes eliminate all guesswork and will help you: Systematically address conceptual and procedural mistakes Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond Master essential CCSM mathematical processes and proficiencies for Grades 3-5
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.
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
Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.
Take the guesswork out of grades 3-5 math assessment! Expertly pinpoint and reverse your students’ common math difficulties with this must-have resource from best-selling authors Cheryl Tobey and Carolyn Arline. You’ll find 25 research-based assessment probes designed specifically for Grades 3-5 and the new Common Core Standards for Mathematics. Learn to ask the right questions to uncover just where your students get confused, and apply practical strategies to get them quickly back on track – while learning is already underway. It’s all here in this detailed and time-saving guide. Organized by strand, the probes will enable you to: Quickly and objectively identify and correct students’ difficulties Systematically address conceptual misunderstandings and procedural mistakes-- before they become long-term problems Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond Master the essential CCSM mathematical processes and proficiencies for Grades 3-5 With the help of sample student responses, extensive Teacher Notes, reproducibles, and research-based tips and resources, you’ll quickly eliminate the guesswork and join thousands of busy teachers who’ve used these easy-to-implement probes to foster solid math proficiency!
Author Page Keeley continues to provide KOCo12 teachers with her highly usable and popular formula for uncovering and addressing the preconceptions that students bring to the classroomOCothe formative assessment probeOCoin this first book devoted exclusively to life science in her Uncovering Student Ideas in Science series. Keeley addresses the topics of life and its diversity; structure and function; life processes and needs of living things; ecosystems and change; reproduction, life cycles, and heredity; and human biology."