Offering an innovative framework, this book helps teachers learn how to use classroom artifacts to assess students' mathematical thinking and students' understanding of mathematical content. Teachers need to be able to diagnose what their students do and don't understand about mathematics. This book helps teachers become more analytic about their students' thinking by showing them how to use student artifacts to evaluate what is happening in the classroom. Focusing on elementary through middle grades, chapters investigate what classroom artifacts are, how to interpret them and ways to use these data to improve mathematics instruction.

This book reflects on the continuing development of teacher noticing through an exploration of the latest research. The authors and editors seek to clarify the construct of teacher noticing and its related branches and respond to challenges brought forth in earlier research. The authors also investigate teacher noticing in multiple contexts and frameworks, including mathematics, science, international venues, and various age groups.

Math coaches wear many hats. You think on your feet and have to invent, react, and respond—often without time to prepare—in a myriad of professional contexts. What’s your go-to resource for support? Plan, focus, and lead: Your toolkit for inspiring math teachers Meet Everything You Need For Mathematics Coaching: Tools, Plans, and a Process That Works for Any Instructional Leader. This one-stop, comprehensive toolkit for improving mathematics instruction and learning is designed for busy math coaches and teacher leaders who often have to rely on their own competencies. Using the Leading for Mathematical Proficiency Framework, the authors position student outcomes as the focus of all professional work and connect the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to help you guide teachers toward growing mathematics proficiency in their classrooms. This hands-on resource details critical coaching and teaching actions, and offers nearly a hundred tools for: Shifting classroom practice in a way that leads to student math proficiency and understanding of mathematical concepts. Honing in on key areas, including content knowledge and worthwhile tasks, student engagement, questioning and discourse, analysis of student work, formative assessment, support for emergent language learners and students with special needs, and more. Navigating a coaching conversation. Planning and facilitating professional learning communities. Finding a focus for professional development or a learning cycle. Making connections between professional learning activities, teaching, and student learning. Using the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers. With examples from the field, a comprehensive list of resources for effective coaching, and a plethora of tools you can download and share with teachers, this toolkit is your must-have guide to designing a professional learning plan and leading with clarity and purpose.

This book conceptualises the ways in which video has created a pedagogy for current learning and teaching practices, disciplines, and environments. It brings together the concepts and practice of video as pedagogy by providing theoretical discussion and practical guidance and recommendations on the use of video in learning and teaching, drawing on a wide range of case studies including nursing education, business education, architectural education, engineering, mathematics, physical education, science education, and screen production. Part I focuses on ‘video, students and learning’ and Part II on ‘video, teachers and practice’. The book covers various perspectives on the concept and use of video in learning and teaching: developing students’ practical skills and knowledge; using video for teaching culturally sensitive topics and cultural competency; for feedback, reflection, training and professional development; making and producing videos for educational purposes, with discussion on techniques, devices, software and strategies.

In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

The Language of Mathematics: How the Teacher’s Knowledge of Mathematics Affects Instruction introduces the reader to a collection of thoughtful works by authors that represent current thinking about mathematics teacher preparation. The book provides the reader with current and relevant knowledge concerning preparation of mathematics teachers. The complexity of teaching mathematics is undeniable and all too often ignored in the preparation of teachers with substantive mathematical content knowledge and mathematical teaching knowledge. That said, this book has a focus on the substantive knowledge and the relevant pedagogy required for preparing teachings to enter classrooms to teach mathematics in K-12 school settings. Each chapter focuses on the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. Chapter One opens the book with a focus on the language and knowledge of mathematics teaching. The authors of Chapters Two-Nine present field-based research that examines the complexities of content and pedagogical knowledge as well as knowledge for teaching. Each chapter offers the reader an examination of mathematics teacher preparation and practice based on formal research that provides the reader with insight into how the research study was conducted as well as providing the findings and conclusions drawn with respect to mathematics teacher preparation and practice. Finally, Chapter 10 presents an epilogue that focuses on the future of mathematics teacher preparation.

Digital video use is becoming prevalent in teacher education as a tool to help improve teaching and learning and for assessing effective teaching. Timely and comprehensive, this volume brings together top scholars from multiple disciplines to provide sound theoretical frameworks, research-based support, and clear practical advice on a variety of unique approaches to using digital video in teacher education programs. Part I deals with the use of video for teacher learning. Part II focuses on the role played by those other than teachers in the effective use of digital video in teacher education programs. Part III addresses how to administer video for teacher education. Exploring the complexities of effectively and appropriately integrating digital video into teacher development at various stages, this book is a must-have resource for scholars and professionals in the field.