MathsBeat: Year 1 Teacher's Handbook provides essential support for teaching for mastery, including integrated professional development and real-life examples of children's work to help assess for depth of understanding.

Using the latest research, this book provides an insight into how learning in mathematics can be improved through a lesson study approach. This highly practical resource explores the research and theory that underpins lesson study, and shows the significant impact it can have on teacher development. Divided into ten accessible main chapters that focus in depth on an individual mathematics lesson, each chapter provides research and background to the lesson, an outline of key features, a detailed description and analysis of the lesson in practice, post-lesson discussions and reflections which generalise from the experience, as well as links to helpful resources. Some of the key topics explored include: Fractions Proportional relationships Probability and statistics Geometry Modelling Algebra Dialogic reasoning. Understanding Lesson Study for Mathematics is the perfect resource for all mathematics teachers, trainee teachers, and professional developers who are looking to develop the use of lesson study in their own practice or for those simply seeking new inspiring ideas for the mathematics classroom.

This book is about the promotion of all-attainment teaching in the mathematics classroom. The book contains the individual stories of six teachers working in three different schools: an inner London comprehensive with a largely working class intake, a comprehensive on the south coast and a rural comprehensive in Cambridgeshire. Each story describes and explains in brief the background of the teacher and how each came to teach all-attainment groups in mathematics. The research reported in this book is the only close examination and analysis of the practices and methodologies of successful all-attainment educators in the modern age. Three major themes are identified and examined: what sustains the teachers; how they introduce, develop and maintain all-attainment teaching; and how they make all-attainment work in the classroom. From an analysis of these findings, the book presents two interrelated models of the knowledge and understandings the research has generated. The first one is an overarching model of situation and horizon. Used as a means of visualizing and understanding the current situation for teachers, it can aid in encouraging change for the better. The second model offers teachers a way to think of all-attainment teaching as an enabler for all students, most especially for disadvantaged students. Both models have original and explanatory power and offer new ways of conceptualizing how mathematics teaching for social justice might be understood and implemented, offering fresh perspectives and unique insights. As such it will be of help to students at undergraduate, Masters and doctoral level and to education researchers more widely.

In the first edition of this seminal study, Larry Cuban presented the last century of American teaching as one of a stable teacher-centered pedagogy. Within this framework, Cuban explored how major school reform efforts to alter classroom teaching often resulted in modest shifts in pedagogy in elementary schools and even less change in secondary schools.Now, in this second edition, How Teachers Taught: Constancy and Change in American Classrooms, 1890–1990, Larry Cuban returns to his pioneering inquiry into the history of teaching practice in the United States, responds to criticisms, and incorporates the scholarship of the last ten years. While not abandoning his basic thesis of the remarkable continuity in teacher-based instruction, Cuban now examines more closely the phenomenon of “hybrids” of student-centered and teacher-centered pedagogy, and finds many instances of classroom change sufficient to give pause to those who see futility in classroom reform. The author looks closely at socioeconomic contexts and the evolution of curriculum content. In the final chapter, Cuban directly assesses the implications of his work for policymakers, practitioners, and researchers. Historians, sociologists, and educators will also find powerful relevancy to their work, and the general reader will join in an exciting search for historical realities. “There are no bumper-sticker solutions to educational problems here, no election year gimmicks. Rather, this book presents the seasoned hopefulness and skeptical wisdom of a scholar-practitioner who gives us a better map of where we have been and a sense of where we might go.” —From the Foreword by David Tyack

Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

This book explores ways of teaching that are free from determinist beliefs about ability. In a detailed critique of the practices of ability labelling and ability-focussed teaching, Learning without Limits examines the damage these practices can do to young people, teachers and the curriculum. Drawing on a research project at the University of Cambridge, the book features nine vivid case studies (from Year 1 to Year 11) that describe how teachers have developed alternative practices despite considerable pressure on them and on their schools and classrooms.