This book is modeled after Jim Burke’s successful Common Core Companion Series. It is the first of two books (K-2, 3-5) in the series. The book will include a clear explanation of the mathematics within each domain, cluster, and standard and suggested grade level appropriate visual models and representations. It is a book for math teachers who may or may not be math specialists. As teachers plan and develop their curriculum, this book will help them determine important mathematics in a cluster and how that mathematics connects from one grade to the next as well as within a grade.
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.
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 .
If you're a high school teacher, no need to despair. Jim Burke has created a Common Core Companion for you, too, as your one-stop guide across subjects.
Your user’s guide to the mathematics standards In the 12 short months since the ELA versions of The Common Core Companions, Grades K-2 and 3-5, burst on the scene, they’ve already assisted tens of thousands of teachers with the day-to-day "what you do." Teachers’ one big criticism: what about mathematics? Luckily NCTM past-president Linda Gojak and mathematics coach Ruth Harbin Miles stepped up to the task. The result? That version of the mathematics standards you wish you had. Page by page, The Common Core Mathematics Companions clearly lay out: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Don’t spend another minute poring over the mathematics standards. Gojak and Miles have already done the heavy-lifting for you. Focus instead on how to teach them, using The Common Core Mathematics Companion as your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.
"The Common Core Mathematics Companion 6-8 offers a practical guide for implementing the CCSS Math Standards. Teachers will appreciate the misconception alerts and ideas for differentiation." — Jay McTighe, Author and Consultant When it comes to math, standards-aligned is achievement-aligned… In the short time since The Common Core Mathematics Companions, Grades K-2 and 3-5 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new 6-8 volume, middle school math success is at your fingertips. Page by page, the authors lay out the pieces to a cutting-edge curriculum, helping you to: Get the inside scoop on which standards connect, what key vocabulary means, and time-saving tables showing where to focus instruction for each grade Write curriculum for: ratios and proportional relationships, the number system, expressions and equations, functions, geometry, and statistics & probability Use the What to Teach pages to deliver powerful standards-based lessons Learn effective techniques to create an environment where all students can experience math break-throughs Incorporate the Standards for Mathematical Practice to improve students’ ability to problem solve, construct viable arguments, use tools strategically, attend to precision, and more The Common Core Mathematics Companion, Grades 6–8 has what every middle school needs to provide students with the foundation for the concepts and skills they will be expected to know in grade 9–12. Ruth Harbin Miles is a mathematics coach, with special expertise in developing teachers’ content knowledge and strategies for engaging students to achieve high mathematics standards. A serving member on the Board of Directors for the National Council of Teachers of Mathematics and the National Council of Supervisors of Mathematics, Ruth is a co-author with Linda Gojak of The Common Core Mathematics Companions, K–2 and 3–5 (Corwin). Lois Williams, Ed.D., who taught mathematics in grades K–8 for 20 years, is currently an adjunct professor at Mary Baldwin College and an International Fellow with the Charles A. Dana Center, training teachers in the College and Career Readiness Standards She has been honored with a Fulbright Teacher Exchange and the Virginia Middle School Mathematics Teacher of the Year award.
This book explains what the standards say, what they mean, and how to teach them. The book is organized by the Anchor Standards in the following categories: Reading Literature Informational Text Foundational Reading Skills (This is a departure from the 6-12 standards that we will have to consider in design/format) Writing Speaking and Listening Language
That version of the standards you wish you had All over the nation, teachers and administrators are poring over the Common Core State Standards to come up with meaningful plans for raising student achievement. But as clear as the standards are, they are more of a sundial than a GPS for pinpointing just what to teach and how to teach it. Enter Jim Burke with The Common Core Companion: The Standards Decoded, Grades 6-8. It's that version of the standards you wish you had: a roadmap of what each standard says, what each standard means, and how precisely to put that standard into day-to-day practice across English Language Arts, Social Studies, Science, and Technical Subjects. Designed to provide schools, districts, and departments with a common language or set of reference points for effective school-wide implementation, The Common Core Companion clearly lays out: Grades 6-8 standards side by side with key distinctions highlighted so teachers know what they must teach from grade to grade All the different content-area versions of each standard arranged on one page to facilitate easy reference and school wide collaboration Explanations of each standard on a corresponding page, written in accessible language, along with prompts and questions to help students learn and apply each standard Essential content to cover and lesson ideas for modeling the literacy skills behind the standards Instructional techniques for each standard based on Jim's extensive teaching experience and current research on effective instruction Complete glossary for each standard and adaptations for ELL students Don't spend another minute poring over the standards. Jim has already done that for you. Focus instead on how to teach them, using The Common Core Companion as your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful reading and writing curricula.
Transforming the standards into learning outcomes just got a lot easier In this resource, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, allowing you to see and understand which page number to turn to for standards-based teaching ideas. It’s all here, page by page: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Sample lesson plans and lesson planning templates Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
