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 Taking Action in PDF and EPUB
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 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 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 Teaching Fractions and Ratios for Understanding in PDF and EPUB This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Download and read online Success from the Start in PDF and EPUB Here the authors explore both the visible and invisible aspects of teaching and offer proven strategies to make the work meaningful - not merely manageable.
Download and read online The Mathematics that Every Secondary School Math Teacher Needs to Know in PDF and EPUB What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the deep mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining. Features include Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great "MATH-N-SIGHT": M Multiple Approaches/Representations A Applications to Real Life T Technology H History N Nature of Mathematics: Reasoning and Proof S Solving Problems I Interlinking Concepts: Connections G Grade Levels H Honing of Mathematical Skills T Typical Errors This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.
Download and read online Motivation Matters and Interest Counts in PDF and EPUB Why do smart people disengage from mathematical pursuits…and how can we reverse the trend? This book is designed to be the go-to source for information on mathematical motivation. It presents the full body of research on motivation in a useful, interesting and provocative matter.
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.”