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Summarizes and synthesizes the research behind the guiding principles and essential elements that form the heart of Principles to Actions, NCTM's statement on best practices in the teaching and learning of mathematics. Then, linking research to practice, it gives readers a flavour of what a principle or an element might look like in practice, in a classroom.
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.
Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Praise for How Learning Works "How Learning Works is the perfect title for this excellent book. Drawing upon new research in psychology, education, and cognitive science, the authors have demystified a complex topic into clear explanations of seven powerful learning principles. Full of great ideas and practical suggestions, all based on solid research evidence, this book is essential reading for instructors at all levels who wish to improve their students' learning." —Barbara Gross Davis, assistant vice chancellor for educational development, University of California, Berkeley, and author, Tools for Teaching "This book is a must-read for every instructor, new or experienced. Although I have been teaching for almost thirty years, as I read this book I found myself resonating with many of its ideas, and I discovered new ways of thinking about teaching." —Eugenia T. Paulus, professor of chemistry, North Hennepin Community College, and 2008 U.S. Community Colleges Professor of the Year from The Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education "Thank you Carnegie Mellon for making accessible what has previously been inaccessible to those of us who are not learning scientists. Your focus on the essence of learning combined with concrete examples of the daily challenges of teaching and clear tactical strategies for faculty to consider is a welcome work. I will recommend this book to all my colleagues." —Catherine M. Casserly, senior partner, The Carnegie Foundation for the Advancement of Teaching "As you read about each of the seven basic learning principles in this book, you will find advice that is grounded in learning theory, based on research evidence, relevant to college teaching, and easy to understand. The authors have extensive knowledge and experience in applying the science of learning to college teaching, and they graciously share it with you in this organized and readable book." —From the Foreword by Richard E. Mayer, professor of psychology, University of California, Santa Barbara; coauthor, e-Learning and the Science of Instruction; and author, Multimedia Learning
How do expert teachers do it? How do they enhance student learning? How do they manage the dilemmas and tensions inherent in working with 25 different students in every lesson? Internationally respected teacher educator John Loughran argues that teachers’ knowledge of what they do is largely tacit and often misunderstood. In this book, he distils the essence of professional practice for classroom teachers. Drawing on the best research on pedagogy, he outlines the crucial principles of teaching and learning, and shows how they are translated into practice using real classroom examples. He emphasises that teaching procedures need to be part of an integrated approach, so that they are genuinely meaningful and result in learning. Throughout, he shows how teachers can engage their students in ways that create a real ‘need to know’, and a desire to become active learners. What Expert Teachers Do is for teachers who want to become really accomplished practitioners.
Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics.
Action Research in the Classroom: Helping Teachers Assess and Improve their Work guides teacher-researchers through the process of using action research in their practice to improve students’ learning and teachers’ teaching. The book uses actual classroom examples to assist aspiring, new, and veteran teachers and those who support them (administrators, department chairpersons, and mentors) in using a six-step process L.E.A.D.E.R. to successfully accomplish and share research conducted by actual classroom teachers. Each step in the L.E.A.D.E.R. process -- (1) L=Look at the Problem, (2) E=Examine what we know; (3) A=Acquire knowledge of school problem-solving; (4) D=Devise a plan for improvement; (5) E=Execute the plan; and, (6) R=Repeat steps and processes as needed -- can guide teachers, administrators, and even parents – and students – in solving their own problems and improving their learning and teaching.
Sherrington amplifies and augments the principles and further demonstrates how they can be put into practice in everyday classrooms.