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"This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources." John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!
A thrilling chronicle of the tragedy-ridden history of climbing the world's most difficult and unpredictable mountain, by the bestselling authors of The Mountain and No Shortcuts to the Top “Gripping . . . reveals a good deal about the rarefied noble-gonzo world of high-altitude mountaineering.”—The New York Times Ed Viesturs, one of the world's premier high-altitude mountaineers, explores the remarkable history of K2 and of those who have attempted to conquer it. At the same time, he probes the mountain's most memorable sagas in order to illustrate lessons about the fundamental questions mountaineering raises—questions of risk, ambition, loyalty to one's teammates, self-sacrifice, and the price of glory. Viesturs knows the mountain firsthand. He and renowned alpinist Scott Fischer climbed it in 1992 and got caught in an avalanche that sent them sliding to almost certain death before Ed managed to get into a self-arrest position with his ice ax and stop both his fall and Scott's. Focusing on seven of the mountain's most dramatic campaigns, from his own troubled ascent to the 2008 tragedy, Viesturs crafts an edge-of-your-seat narrative that climbers and armchair travelers alike will find unforgettably compelling. With photographs from Viesturs's personal collection and from historical sources, this is the definitive account of the world's ultimate mountain, and of the lessons that can be gleaned from struggling toward its elusive summit.
With the click of a mouse, anyone has access to the standards. So aligning our instruction should be a snap. If only it were that simple . . . Jim Burke anticipated the challenges and developed the Common Core Companion series for K-12. In his next smart move, he deferred to the talents of Sharon Taberski to be author of the K-2 volume. What makes Sharon Taberski’s Common Core Companion "that version of the standards you wish you had"? It’s the way Sharon translates each and every standard for reading, writing, speaking and listening, language, and foundational skills into the day-to-day "what you do": lesson ideas, best literacy practices, grouping configurations, adaptations for ELLs, anchor charts, and so much more. It’s all here, page by page: The standards for literature and informational texts put side by side for easier planning More than a dozen teaching ideas for each standard Recommendations on how to cultivate the habits of mind that are critical to meeting the standards, including interpersonal skills, collaboration, and perseverance A glossary of academic language for each standard Teaching suggestions for how to support ELL students Developmental debriefs to signal how you may need to adapt expectations to meet students where they’re at An online bank of graphic organizers, student reproducibles, sample classroom charts, rubrics, and photos Reproducible planning templates for each standard to help you map out lessons, select books, generate key questions, and more With more than 30 years of classroom experience in the primary grades and years of consulting in schools nationwide, Sharon Taberski has a depth of knowledge about what both students and teachers in this country need in order to cultivate the win-win of high expectations and high engagement in K-2. She is a nationally recognized educator, author, and presenter, and a leader in the field of early reading instruction. Her professional books and teaching materials have revolutionized the way primary teachers approach reading and remain classics in the field.
The tales of a single mother who has climbed K2, just a little lower than Everest, but "steeper, tougher, and deadlier."--Jacket.
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.
" ... analyzes in depth the U.S. federal income taxation of publicly traded partnerships and their partners"--Portfolio description.
"Your charts don't need to be perfect, just thoughtful. You don't even have to be able to draw. Just put the child before the chart." Marjorie Martinelli and Kristine Mraz Listen to an interview with Marjorie and Kristi, the Chartchums, on Education Talk Radio. Commercially available charts leave you hanging? Want the secret to jump-off-the-wall charts that stick with kids? Trust Smarter Charts. Did you ever want to know: What do great charts look like? How many is too many? Where are the best places for them in my classroom? How long do I keep them? How do I know if they are working? Then you'll want to meet Marjorie Martinelli and Kristine Mraz, the Chartchums. They struggled with the same questions, and Smarter Charts shares not only the answers, but the best practices they've discovered as well. Amp up the power of your charts with tips on design and language, instructional use, and self-assessment. Even better, discover surprising strategies that deepen engagement, strengthen retention, and heighten independence-all by involving students in chart making. Packed with full-color sample charts from real classrooms, Smarter Charts shares simple, brain-based strategies proven to make your classroom an even more active, effective space for literacy instruction and classroom management.
Teachers facing the challenge of meeting the diverse reading needs of students will find the structure and tools they need in Jan Richardson's powerful approach to guided reading. Richardson has identified the essential components of an effective guided reading lesson: targeted assessments, data analysis that pinpoints specific strategies students need, and the use of guided writing to support the reading process. Each chapter contains planning sheets to help teachers analyze assessments in order to group students and select a teaching focus Includes detailed, ready-to-go lesson plans for all stages of reading: emergent, early, transitional, and fluent
The secret to avoiding calcium-related osteoporosis and atherosclerosis While millions of people take calcium and Vitamin D supplements thinking they're helping their bones, the truth is, without the addition of Vitamin K2, such a health regimen could prove dangerous. Without Vitamin K2, the body cannot direct calcium to the bones where it's needed; instead, the calcium resides in soft tissue (like the arteries)—leading to a combination of osteoporosis and atherosclerosis, or the dreaded "calcium paradox." This is the first book to reveal how universal a Vitamin K2 deficiency is, and the risk (in the form of cancer and diabetes, among other ailments) the absence of Vitamin K2 poses. Written by Dr. Kate Rheaume-Bleue, a popular health expert on Canadian television and radio, Vitamin K2 and the Calcium Paradox sounds a warning about the popularity of the calcium and Vitamin D craze, while illustrating the enormous health benefits of Vitamin K2 in making the body less susceptible to dental cavities, heart disease, prostate cancer, liver cancer, diabetes, wrinkles, obesity, varicose veins, and other ailments. The book demystifies this obscure supernutrient—a fat soluble vitamin that humans once thrived on, ignored by scientists for almost seventy years Details how the consumption of grass-fed animals led to adequate Vitamin K2 intake—while grain-based animal feed helped eradicate Vitamin K2 from our diets Describes how doctors are raising recommended doses of calcium and Vitamin D—without prescribing Vitamin K2 Details more damning facts about transfats—and how the creation of a synthetic Vitamin K interfered with the body's Vitamin K metabolism An essential book for anyone interested in bone health, or maintaining their overall health, Vitamin K2 and the Calcium Paradox is the guide to taking the right combination of supplements—and adding Vitamin K2 to a daily regimen.