Download or read book Mine the Gap for Mathematical Understanding Grades 3 5 written by John SanGiovanni and published by Corwin Press. This book was released on 2016-09-16 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction concepts, foundational decimal concepts, and operations with fractions and decimals. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

Download or read book Mine the Gap for Mathematical Understanding Grades K 2 written by John SanGiovanni and published by Corwin Press. This book was released on 2016-10-31 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

Download or read book Mine the Gap for Mathematical Understanding Grades 6 8 written by John SanGiovanni and published by Corwin Press. This book was released on 2017-09-12 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni and Jennifer Rose Novak help us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. The authors lay out 180 high-quality tasks aligned to the standards and big ideas of Grades 6–8 mathematics, including number systems, integers, ratio and proportion, equations and expressions, geometry, and statistics and probability. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task four student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning, better at discerning the quality and clarity of students’ understanding, and better at planning teaching based on the gaps you see.

Download or read book Uncovering Student Thinking in Mathematics Grades K 5 written by Cheryl Rose Tobey and published by Corwin Press. This book was released on 2010-10-04 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Figuring Out Fluency in Mathematics Teaching and Learning Grades K 8 written by Jennifer M. Bay-Williams and published by Corwin. This book was released on 2021-03-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Download or read book The Five Practices in Practice Elementary written by Margaret (Peg) Smith and published by Corwin Press. This book was released on 2019-08-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.

Download or read book Productive Math Struggle written by John J. SanGiovanni and published by Corwin. This book was released on 2020-03-09 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work

Download or read book The Math Pact Elementary written by Karen S. Karp and published by Corwin Press. This book was released on 2020-09-19 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A school-wide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid "rules that expire"—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics!

Download or read book Children s Errors in Mathematics written by Alice Hansen and published by Learning Matters. This book was released on 2014-06-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical guide to children’s common errors and misconceptions in mathematics is a popular planning tool for primary trainees. It supports a deeper understanding of the difficulties encountered in mathematical development. This third edition has been updated to link to the new National Curriculum. New for this edition is a chapter on addressing errors misconceptions which explores how errors can best be identified and countered. The text examines misconceptions individually and in each case provides a description of the error alongside an explanation of why the error happens. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions.

Download or read book Mathematics Formative Assessment Volume 2 written by Page Keeley and published by Corwin Press. This book was released on 2016-12-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Daily Routines to Jump Start Problem Solving Grades K 8 written by John J. SanGiovanni and published by Corwin Press. This book was released on 2023-04-03 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finally! A book that helps solve the problem of teaching problem-solving! Learning to be a problem solver is hard. Teaching students how to be problem solvers themselves can be even harder. Some students may learn to mimic procedures to come up with correct answers, but are they really learning to solve problems? To become independent problem solvers, students need to practice exploring, tinkering, and most importantly thinking!! The bite-size routines in this guide are perfect for teachers looking for the interesting, engaging, and doable practice students need to become problem-solving masters. These flexible, modifiable bursts of quality practice are designed to get students to look at problems in different ways, spark discussion, make connections, and boost mathematics achievement. This collection addresses the common challenges students and teachers face when learning to problem solve by Developing students’ mathematical reasoning and conceptual understanding Building students’ skills with various problem-solving strategies Nurturing mathematical confidence and improving identity and agency Fortified with standards for math practices and processes, the ideas in this guide develop the reasoning and critical-thinking skills for students to become independent problem-solvers for life!

Download or read book Every Math Learner Grades K 5 written by Nanci N. Smith and published by Corwin Press. This book was released on 2017-02-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differentiation that shifts your instruction and boosts ALL student learning! Nationally recognized math differentiation expert Nanci Smith debunks the myths surrounding differentiated instruction, revealing a practical approach to real learning differences. Theory-lite and practice-heavy, this book provides a concrete and manageable framework for helping all students know, understand, and even enjoy doing mathematics. Busy K-5 mathematics educators learn to Provide practical structures for assessing how students learn and process mathematical concepts Design, implement, manage, and formatively assess and respond to learning in a standards-aligned differentiated classroom; and Adjust current instructional materials to better meet students' needs Includes classroom videos and a companion website.

Download or read book The Common Core Mathematics Companion The Standards Decoded High School written by Frederick L. Dillon and published by Corwin Press. This book was released on 2017-09-12 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your User’s Guide to the Mathematics Standards When it comes to mathematics, standards aligned is achievement aligned... In the short time since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. Page by page, the authors lay out the pieces of an in-depth explanation, including The mathematical progression of each conceptual category, starting with modeling as a unifying theme, and moving through number & quantity, algebra, functions, geometry, and statistics and probability, building from the 8th grade standards The mathematics embedded in each conceptual category for a deeper understanding of the content How standards connect within and across domains, and to previous grade standards, so teachers can better appreciate how they relate How standards connect with the standards for mathematical practice, with a focus on modeling as a unifying theme Example tasks, progressions of tasks, and descriptions of what teachers and students should be doing to foster deep learning The Common Core Mathematics Companion: The Standards Decoded, High School has what every high school teacher needs to provide students with the foundation for the concepts and skills they will be expected to know .

Download or read book Answers to Your Biggest Questions About Teaching Elementary Math written by John J. SanGiovanni and published by Corwin Press. This book was released on 2021-08-31 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your guide to grow and learn as a math teacher! Let’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 1. How do I build a positive math community? 2. How do I structure, organize, and manage my math class? 3. How do I engage my students in math? 4. How do I help my students talk about math? 5. How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey?

Download or read book Building Thinking Classrooms in Mathematics Grades K 12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Formative 5 written by Francis (Skip) Fennell and published by Corwin Press. This book was released on 2016-12-15 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Daily Routines to Jump Start Math Class Elementary School written by John J. SanGiovanni and published by Corwin Press. This book was released on 2019-08-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students need more practice to develop number sense and reasoning? Are you looking to engage your students with activities that are uncomplicated, worthwhile, and doable? Have you had success with number talks but do your students crave more variety? Have you ever thought, "What can I do differently?" Swap out traditional warmup practices and captivate your elementary students with these new, innovative, and ready-to-go routines! Trusted elementary math expert John J. SanGiovanni details 20 classroom-proven practice routines to help you ignite student engagement, reinforce learning, and prepare students for the lesson ahead. Each quick and lively activity spurs mathematics discussion and provides a structure for talking about numbers, number concepts, and number sense. Designed to jump-start mathematics reasoning in any elementary classroom, the routines are: Rich with content-specific examples and extensions Modifiable to work with math content at any K-5 grade level Compatible with any textbook or core mathematics curriculum Practical, easy-to-implement, and flexible for use as a warm-up or other activity Accompanied by online slides and video demonstrations, the easy 5–10 minute routines become your go-to materials for a year’s work of daily plug-and-play short-burst reasoning and fluency instruction that reinforces learning and instills mathematics confidence in students. Students’ brains are most ready to learn in the first few minutes of math class. Give math practice routines a makeover in your classroom with these 20 meaningful and energizing warmups for learning crucial mathematics skills and concepts, and make every minute count.