Download and read online Five Practices for Orchestrating Productive Mathematics Discussions in PDF and EPUB This book's 5 manageable practices have the power to connect students' approaches with the underlying mathematics and put teachers in control of productive classroom discussions.
Download and read online Five Practices for Orchestrating Productive Mathematics Discussions in PDF and EPUB Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.
Download and read online 5 Practices for Orchestrating Productive Mathematics Discussions in PDF and EPUB Learn the 5 practices for facilitating effective inquiry-oriented classrooms: Anticipating what students will do - what strategies they will use - in solving a problem Monitoring their work as they approach the problem in class Selecting students whose strategies are worth discussing in class Sequencing those students' presentations to maximise their potential to increase students' learning Connecting the strategies and ideas in a way that helps students understand the mathematics learned This book presents and discusses a framework for orchestrating mathematically productive discussions that are rooted in student thinking. The 5 Practices framework identifies a set of instructional practises that will help teachers achieve high-demand learning objectives by using student work as the launching point for discussions in which important mathematical ideas are brought to the surface, contradictions are exposed and understandings are developed or consolidated. By giving teachers a road map of things that they can do in advance and during whole-class discussions, these practises have the potential for helping teachers to more effectively orchestrate discussions that are responsive to both students and the discipline. Includes a Professional Development Guide.
Download and read online Five Practices for Orchestrating Productive Task based Discussions in Science in PDF and EPUB Presents a framework of instructional practices--anticipating, monitoring, selecting, sequencing, and connecting--for facilitating effective inquiry-oriented science classrooms and engaging K-12 students in meaningful and productive discussion
Download and read online Principles to Actions in PDF and EPUB This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.
Download and read online Intentional Talk in PDF and EPUB Not all mathematics discussions are alike. It's one thing to ask students to share how they solved a problem, to get ideas out on the table so that their thinking becomes visible; but knowing what to do with students' ideas--where to go with them--can be a daunting task. Intentional Talk provides teachers with a framework for planning and facilitating purposeful mathematics discussions that enrich and deepen student learning. According to Elham Kazemi and Allison Hintz, the critical first step is to identify a discussion's goal and then understand how to structure and facilitate the conversation to meet that goal. Through detailed vignettes from both primary and upper elementary classrooms, the authors provide a window into what teachers are thinking as they lead discussions and make important pedagogical and mathematical decisions along the way. Additionally, the authors examine students' roles as both listeners and talkers and, in the process, offer a number of strategies for improving student participation and learning. A collection of planning templates included in the appendix helps teachers apply the right structure to discussions in their own classrooms. Intentional Talk provides the perfect bridge between student engagement and conceptual understanding in mathematical discussions.
Download and read online Implementing Standards based Mathematics Instruction in PDF and EPUB Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.
Download and read online Classroom Discussions in PDF and EPUB This best seller offers an unparalleled look at the significant role that classroom discussions can play in teaching mathematics and deepening students’ mathematical understanding. Based on a four-year research project funded by the U.S. Department of Education, the second edition includes more examples of classroom talk focusing on pre-algebra and early grade levels; an expanded range of vignettes; chapter-ending discussion questions for book study groups; connections to NCTM’s Principles and Standards for School Mathematics; and an index of every mathematical and Standards for School Mathematics; and an index of every mathematical example used, classified by grade level and mathematical emphasis.
Download and read online The Elementary Mathematics Specialist s Handbook in PDF and EPUB Placing mathematics specialists in elementary schools is a recent development that is gaining momentum as schools move to more rigorous standards, including the Common Core State Standards for Mathematics. Working with teachers to improve schoolwide mathematics performance, the mathematics specialist is unique among the specialists at elementary schools today. In this handbook: Vignettes flesh out the elementary mathematics specialist’s many responsibilities. Experienced specialists offer tips on gaining teachers’ trust—and access to their classrooms. Special guidance highlights effective collaboration between the principal and the specialist. The transition from classroom teacher to elementary mathematics specialist is challenging, but the principal can smooth the specialist’s path by reassuring teachers that the new specialist is there to support them, not judge them. In the authors’ words, “The mathematics specialist, when introduced to the faculty in the right way, becomes a soft place where the teacher can fall.”
Download and read online More Good Questions in PDF and EPUB We know that Differentiated Instruction helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open questions and Parallel tasks. Showing teachers how to get started and become expert with these strategies, this book also demonstrates how to use more inclusive learning conversations to promote broader student participation. Strategies and examples are organized around Big Ideas within the National Council of Teachers of Mathematics (NCTM) content strands. With particular emphasis on Algebra, chapters also address Number and Operations, Geometry, Measurement, and Data Analysis and Probability, with examples included for Pre-Calculus.
Download and read online High Yield Routines in PDF and EPUB Today's classrooms are full of routines. Although we often think of routines as being used for organisation, routines can also be used to enhance instruction. In this book, the authors present seven easily implemented mathematical routines that may be used effectively at a variety of grade levels and with a variety of mathematical content. The book also includes ideas for infusing mathematics into the nonmathematical routines that take time away from instruction. Each chapter begins with classroom vignettes that provide a glimpse of how the routine might look as it is implemented in a variety of grade levels. A description of the routine and implementation strategies follow and the authors provide examples of student work from various grade levels for each of the routine, including examples of ways to assess student thinking by using the routines, and suggestions for adapting the routines. The book includes connections to the Common Core practice standards and focuses on creating opportunities for differentiated instruction. A highly useful book, written by seasoned mathematics educators, this book is a must-have for all elementary and middle school mathematics teachers.
Download and read online Math Tools Grades 3 12 in PDF and EPUB Organized around four distinct learning styles, this resource provides 64 instructional tools linked to NCTM process standards and offers guidelines for designing powerful, differentiated lessons.
Download and read online Promoting Purposeful Discourse in PDF and EPUB Presents portraits of teaching by secondary school teachers who have closely observed classroom communication, conversation and discourse.
Download and read online Connecting the NCTM Process Standards and the CCSSM Practices in PDF and EPUB Since their release in 2010, the Common Core State Standards Initiative (CCSSI) has had a profound impact on educational reform. The adoption of these standards represents an opportunity to support teachers in the common goal of helping students achieve a high-quality education. The Common Core State Standards for Mathematics will affect almost every K-12 student and the majority of the US’s teachers over the next decade. Although the CCSSM was created through a top-down approach, spearheaded by the National Governors Association and the Council of Chief State School officers, the primary audience and the ultimate users of the standards are classroom teachers. The focus of this book is on the Standards of Mathematical Practice outlined in the CCSSM. Although the CCSSM features these standards prominently, they are not described in detail and are not integrated into CCSSM's Standards for Mathematical Content. As a result, they are easy to overlook or ignore. The ideas in the Standards for Mathematical Practice are not new but linked to previous practices and standards articulated by other groups, including the National Council of Teachers of Mathematics (NCTM). For example, problem solving and reasoning are at the core of all practices outlined in CCSSM, just as they have been at the core of NCTM's vision for mathematics education since the publication of An Agenda for Action in 1980. Subsequent NCTM curriculum recommendations, emphasized and elaborated the role and place of mathematical processes and practices. The Standards of Mathematical Process outlined in CCSSM, and explored in greater detail in this book, reaffirm the significance of habits of mind, mathematical processes, and proficiency as crucial aspects of learning mathematics. Although the terms and emphasis may be new to teachers, the main ideas have existed a long time and remain unchanged. Intended for classroom teachers, this book makes explicit connections between these related ideas and the CCSSM Standards for Mathematical Practice. By connecting the CCSSM to previous standards and practices, the book serves as a valuable guide for teachers and administrators in implementing the CCSSM to make mathematics education the best and most effective for all students.
Download and read online The Common Core Mathematics Standards in PDF and EPUB Transform math instruction with effective CCSS leadership The Common Core State Standards for mathematics describe the “habits of mind” that teachers should develop in their students without which the content standards cannot be successfully implemented. This professional development resource helps principals and math leaders grapple with the changes that must be addressed so that teachers can implement the practices required by the CCSS. Included are: A clear explanation of the CCSS for Mathematical Practice Techniques to help leadership teams collaboratively implement and maintain the new standards A proficiency matrix with examples of instructional strategies for helping students reach competency in each standard