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A guide to quickly and reliably uncovering common math misconceptions in Grades 6-8 with convenient and easy-to-implement diagnostic tools.
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
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.
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
Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you help students discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way to help students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and there’s even a companion website with additional resources.
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
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.
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.
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.
Helpful advice for teaching Common Core Math Standards to middle-school students The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies. Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.
