Download or read book Mathematical Action Structures of Noticing written by and published by BRILL. This book was released on 2009-01-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Mason has been a prominent figure in the research field of mathematics education for several decades. His principal focus has been thinking about mathematical problems, supporting those who wish to foster and sustain their own thinking and the thinking of others.
Download or read book Researching Your Own Practice written by John Mason and published by Routledge. This book was released on 2002-11 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers need to develop the art of noticing if they are to improve their practice and undertake successful research in their classrooms.
Download or read book International Handbook of Mathematics Teacher Education Volume 2 written by and published by BRILL. This book was released on 2019-12-16 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors look back beyond and within the last 10 years to establish the state-of-the-art and continuing and new trends in mathematics teacher and mathematics teacher educator education, and look forward regarding possible avenues for teachers, teacher educators, researchers, and policy makers to consider to enhance and/or further investigate mathematics teacher and teacher educator learning and practice, in particular. The volume editors provide introductions to each volume that highlight the subthemes used to group related chapters, which offer meaningful lenses to see important connections within and across chapters. Readers can also use these subthemes to make connections across the four volumes, which, although presented separately, include topics that have relevance across them since they are all situated in the common focus regarding mathematics teachers. Volume 2, Tools and Processes in Mathematics Teacher Education, describes and analyze various promising tools and processes, from different perspectives, aimed at facilitating the mathematics teacher learning and development. It provides insights of how mathematics teacher educators think about and approach their work with teachers. Thus, as the second volume in the series, it broadens our understanding of the mathematics teacher and their learning and teaching.
Download or read book Mathematics Teacher Noticing written by Miriam Sherin and published by Routledge. This book was released on 2011-02 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to examine research on mathematics teacher noticing---how teachers pay attention to and make sense of what happens in the complexity of instructional situations.
Download or read book Math on the Move written by Malke Rosenfeld and published by Heinemann Educational Books. This book was released on 2016-10-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Download or read book Teacher Noticing Bridging and Broadening Perspectives Contexts and Frameworks written by Edna O. Schack and published by Springer. This book was released on 2017-05-16 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Thnking Mathematically written by J Mason and published by Pearson Higher Ed. This book was released on 2011-01-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.
Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 or read book Catalyzing Change in Early Childhood and Elementary Mathematics written by DeAnn Huinker and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Catalyzing Change in Elementary and Early Childhood Mathematics presents four key recommendations to guide conversations that take a critical look at current mathematics programs in order to identify practices, policies, and instructional approaches that hinder any child from becoming confident and capable mathematics learners. The book uses classroom vignettes and student work to illustrate how the eight effective mathematics teaching practices form a framework for equitable instruction and to discuss the teaching of important mathematics topics in number and operations, early algebra, geometry, and data"--
Download or read book Mathematical Understanding for Secondary Teaching written by M. Kathleen Heid and published by IAP. This book was released on 2015-12-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level. The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice. Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.
Download or read book Everything You Need for Mathematics Coaching written by Maggie B. McGatha and published by Corwin Press. This book was released on 2018-04-02 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lesson Play in Mathematics Education written by Rina Zazkis and published by Springer Science & Business Media. This book was released on 2012-12-28 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lesson play is a novel construct in research and teachers’ professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form—inspired in part by Lakatos’s evocative Proofs and Refutations—featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies—particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.
Download or read book Invited Lectures from the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2018-02-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Download or read book Teaching and Learning Patterns in School Mathematics written by Ferdinand Rivera and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum.
Download or read book Connecting Abstract Algebra to Secondary Mathematics for Secondary Mathematics Teachers written by Nicholas H. Wasserman and published by Springer. This book was released on 2018-12-12 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.
Download or read book Being Alongside written by Alf Coles and published by Springer Science & Business Media. This book was released on 2013-06-13 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you establish a classroom culture in which students routinely conjecture and think mathematically? How do you establish a way of working with teachers, using video, in which discussion supports professional development? The present book offers answers to these questions through an in depth (enactivist) study of one exceptional teacher in one innovative mathematics department in the UK. The book reveals some striking parallels between working to support students’ mathematical thinking and working to support teacher learning. A case is made for the importance of metacommunication in both contexts - communication about the communications that are occurring. For example, there is compelling evidence from a classroom that metacommunication, linked to the words ‘conjecture’ and ‘becoming a mathematician’, supports student metacognition and mathematical thinking. In working with teachers or students, offering these powerful metacommunications seems to require a heightened listening. With a heightened listening, attention is placed not just in what is said, but in what kind of a thing is said, with the teacher or facilitator being alongside the individuals in the wider group. "Read this book if you’re a teacher for insights into how one teacher establishes a classroom culture where her children are doing mathematics, ‘being mathematicians’ and reflect on what you want in your own classroom. Read this book if you’re a teacher educator to reflect on parallels between teaching and running professional development sessions, particularly using video. If you do not fit in either of these categories, read this book and use stories in your life." - Laurinda Brown, University of Bristol.
Download or read book Powerful Problem Solving written by Max Ray and published by Heinemann Educational Books. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.
