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.

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.

The Common Core State Standards for Mathematical Practice describe the mathematical ohabits of mindoe that teachers, at all levels, should develop in their students, and without which the content standards cannot be successfully implemented. Attention to the Mathematical Practices connected with content must be enacted in teaching, which will require professional development. Though the CCSS Mathematical Content Standards differ in detail from other content standards, their form is familiar to teachers: a list of things to know. The Mathematical Practices are not so easily condensed into a lesson or unit, not so easily tested and, generally, not so familiar. Content standards are specified grade by grade and build on each other rather than repeating year after year. The Mathematical Practices are different. Though they can be enacted in an appropriate way at any level, they evolve and mature over years rather than days, along with childrenAEs cognitive development and the nature and sophistication of the Mathematical Content. It can be expected that the developers of the CCSS, and the states that collaborated in calling for the development of the CCSS, will work with the developers of assessments to ensure that the Mathematical Practices are taken seriously in testing. Hull, Miles, and Balka wrote this book as professional development resource to help school and math leaders grapple with the changes that must be addressed and move their teachers toward implementation of CCSS-required practices.

Do you ever wish your students could read each other's thoughts? Now they can-and so can you! Veteran mathematics educators Ted Hull, Don Balka, and Ruth Miles explain why making students' thought processes visible is the key to effective mathematics instruction. Their newest book contains numerous grade-specific sample problems and instructional strategies for teaching essential concepts such as number sense, fractions, and estimation. Among the many benefits of visible thinking are: - Interactive student-to-student learning - Increased class participation - Development of metacognitive thinking and problem-solving skills. Helpful features include vignettes, relevant word problems, classroom scenarios, sample problems, lesson adaptations, and easy-to-follow examples of each strategy in action. The authors also explain how students can demonstrate their thinking using calculators and online tools. The final chapter outlines steps maths leaders can take to implement visible thinking and maximize mathematics comprehension for all students.

This book helps mathematics leaders build a high-quality instructional programme based upon the five principles identified by the National Council of Teachers of Mathematics (NCTM, 2000): equity, curriculum, teaching, learning, and assessment, and the four leadership principles from the National Council of Supervisors of Mathematics in the PRIME Leadership Framework (NCSM, 2008): equity leadership, teaching and learning leadership, curriculum leadership, and assessment leadership. The authors provide an approach to improvement that includes: - Articulating the curriculum - Implementing the curriculum - Using effective instructional strategies - Providing timely feedback - Providing opportunities for collaboration and professional development Leaders will find guidance on how to plan for long-term change and how to focus their time and energy towards short-term objectives, with the overarching goals of continually engaging and empowering mathematics teachers.

'The authors provide a commonsense approach for those who work directly with classroom teachers to support and improve teaching and learning. Easily read, this book lays out a simple plan for success as a mathematics coach' - Emily S. Rash, Mathematics Specialist, Monroe City School District, LA Math coaches play a vital role in strengthening math instruction and learning in schools. However, without a collegial relationship with the teachers they are trying to help, it is difficult to foster productive collaborations that lead to better teaching practice and increased student achievement. This resource helps coaches confidently clarify, define, and fulfill their role as influential mathematics leaders. Based on principles established by NCTM and NCSM, this volume features a three-part process for engaging teachers in building high-quality, equitable mathematics programs. The chapters help coaches effectively: - Collaborate with teachers to align and implement curriculum that positively impacts student learning and achievement - Build trust and rapport with hesitant or resistant teachers - Develop collegial partnerships for planning, analyzing, and reflecting on instruction - Support and sustain individual and institutional change Filled with numerous vignettes to illustrate coaching practices and strategies to move teachers toward more effective instructional models, A Guide to Mathematics Coaching is an essential companion for transforming mathematics classrooms.