Mathematicians Reflections On Teaching

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Mathematicians’ Reflections on Teaching

Author : Sepideh Stewart
Publisher : Springer Nature
Page : 286 pages
File Size : 41,8 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031342950

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Mathematicians’ Reflections on Teaching by Sepideh Stewart Pdf

Teaching Teachers, Teaching Students

Author : STEEN,ALBERS
Publisher : Springer Science & Business Media
Page : 139 pages
File Size : 45,5 Mb
Release : 2013-11-11
Category : Education
ISBN : 9781489904270

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Teaching Teachers, Teaching Students by STEEN,ALBERS Pdf

Mathematics education is one of the most important but least understood subjects of our age. As science and technology move the world from the age of machines to the age of computers, basic education in the language of science, technology and computers takes on increased importance. In both developed and developing nations, more people than ever before are seeking edu cation in mathematics. Yet there are numerous signs that world-wide mathematics education is of very uneven quality, not attuned to the needs of contemporary society: declining scores on standardized examS7 diminishing number of certified mathematics teach erS7 public outcry at failures of the "new math"7 professional concern with problem solving and applications of mathematics7 uncertainty about the relation of computers and calculators to mathematics instruction. It was in this context of rising expectations and mounting problems that over 2000 mathematicians and mathematics teachers from ar. ound the world gathered in August, 1980, at the University of California in Berke ley, California, for the Fourth International Congress of Mathematical Education CIeME IV).

National Reflections on the Netherlands Didactics of Mathematics

Author : Marja Van den Heuvel-Panhuizen
Publisher : Springer Nature
Page : 348 pages
File Size : 43,5 Mb
Release : 2020-01-06
Category : Education
ISBN : 9783030338244

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National Reflections on the Netherlands Didactics of Mathematics by Marja Van den Heuvel-Panhuizen Pdf

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

Reflective Primary Mathematics

Author : Elizabeth Jackson
Publisher : SAGE
Page : 225 pages
File Size : 52,5 Mb
Release : 2015-08-20
Category : Education
ISBN : 9781473934054

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Reflective Primary Mathematics by Elizabeth Jackson Pdf

‘This original book shows the crucial importance of personal philosophies of mathematics. Using current research it guides us to reflect on our attitudes and beliefs. Essential reading for anybody interested in mathematics and its teaching.’ Paul Ernest, Emeritus Professor of Mathematics Education, University of Exeter Teaching mathematics can be challenging, and returning to a mathematics classroom yourself may not inspire you with confidence. This book can help you to become an assured teacher who can give young learners the high quality mathematics education that they deserve, by exploring the philosophy that lies behind good mathematics teaching and its application in the classroom. Throughout the book you are encouraged to put your own thoughts on mathematics learning and teaching under the microscope and examine your perceptions and understanding in order to develop as a critically reflective teacher, aware of potential challenges and what underpins effective mathematics teaching in primary schools. Coverage includes: · developing your own philosophy towards mathematics teaching · understanding links between confidence and learning · the importance of subject knowledge · common beliefs and attitudes among mathematics learners · how to develop your relationship with the subject. This is essential reading for all students studying primary mathematics on initial teacher education courses, including undergraduate (BEd, BA with QTS), postgraduate (PGCE, School Direct, SCITT, Teach First) and NQTs. Elizabeth Jackson has over thirty years’ experience of mathematics education through primary and secondary school teaching, lecturing in initial teacher education and supervising mathematics Master’s dissertations, as well as conducting research into mathematics and writing.

Embracing Mathematics

Author : Peter Appelbaum,with David Scott Allen
Publisher : Routledge
Page : 484 pages
File Size : 50,6 Mb
Release : 2008-06-30
Category : Education
ISBN : 9781135892234

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Embracing Mathematics by Peter Appelbaum,with David Scott Allen Pdf

This alternative textbook for courses on teaching mathematics asks teachers and prospective teachers to reflect on their relationships with mathematics and how these relationships influence their teaching and the experiences of their students. Applicable to all levels of schooling, the book covers basic topics such as planning and assessment, classroom management, and organization of classroom experiences; it also introduces some novel approaches to teaching mathematics, such as psychoanalytic perspectives and post-modern conceptions of curriculum. Traditional methods-of-teaching issues are recast in a new discourse, provoking new ideas for making mathematics education meaningful to teachers as well as their students. Co-authored by a professor and coordinator of mathematics education programs, with illustrative contributions from practicing elementary, middle, and high school mathematics teachers, this book is a unique collaboration across all pre-college grades, making it ideal for teacher discussion groups at any level. Embracing Mathematics: integrates pedagogy and content exploration in ways that are unique in mathematics education features textboxes with reflection questions and suggested explorations that can be easily utilized as homework for a course or as discussion opportunities for teacher reading groups offers examples of teachers’ action research projects that grew out of their interactions with the main chapters in the book is not narrowly limited to mathematics education but incorporates curriculum studies – an invaluable asset that allows instructors to find more ways to engage students in self-reflexive acts of teaching Embracing Mathematics is intended as a method text for undergraduate and master’s-level mathematics education courses and more specialized graduate courses on mathematics education, and as a resource for teacher discussion groups.

The Learning and Development of Mathematics Teacher Educators

Author : Merrilyn Goos,Kim Beswick
Publisher : Springer Nature
Page : 472 pages
File Size : 52,9 Mb
Release : 2021-04-07
Category : Education
ISBN : 9783030624088

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The Learning and Development of Mathematics Teacher Educators by Merrilyn Goos,Kim Beswick Pdf

Research in mathematics teacher education as a distinctive field of inquiry has grown substantially over the past 10-15 years. Within this field there is emerging interest in how mathematics teacher educators (MTEs) themselves learn and develop. Until recently there were few published studies on this topic, and the processes by which mathematics teacher educators learn, and the forms of knowledge they require for effective practice, had not been systematically investigated. However, researchers in mathematics education are now beginning to investigate the development of MTE expertise and associated issues. This volume draws on the latest research and thinking in this area is therefore timely to stimulate future development and directions. It will survey the emerging field of inquiry in mathematics education, combining the work of established scholars with perspectives of newcomers to the field, with the aim of influencing development of the field, invite cross-cultural comparisons in becoming a mathematics teacher educator by highlighting issues in the development of MTEs in different countries, and examine the roles of both mathematics educators and mathematicians in preparing future teachers of mathematics. The primary audience will be university-based mathematics teacher educators and MTE researchers, and postgraduate research students who are seeking academic careers as MTEs. Additional interest may come from teacher educators in disciplines other than mathematics, and education policy makers responsible for accreditation and quality control of initial teacher education programs.

Caught in the Act

Author : Cyril Julie,Lorna Holtman,Charles R. Smith
Publisher : AFRICAN SUN MeDIA
Page : 216 pages
File Size : 54,9 Mb
Release : 2019-12-11
Category : Mathematics
ISBN : 9781928480372

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Caught in the Act by Cyril Julie,Lorna Holtman,Charles R. Smith Pdf

The research reported in Caught in the Act draws together the insights gained from a continuous professional development initiative for high school mathematics teachers, teaching in low socio-economic status and socially challenged environments in South Africa. The chapters show the possibilities for enhancing achievement in school mathematics if a strength-based approach is adopted to develop teaching with teachers and when their concerns are taken seriously. The book demonstrates that the ecological relevance – fitness for the context in which teachers are teaching – of the “goods” developed and distributed by initiatives should be a major consideration to offer hope for sustainable implementation to improve school mathematics education. The book is of interest to mathematics teachers, school leaders, mathematics curriculum advisors, policy makers and researchers.

Amongst Mathematicians

Author : Elena Nardi
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 53,9 Mb
Release : 2008
Category : Education
ISBN : 9780387371412

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Amongst Mathematicians by Elena Nardi Pdf

This book offers a unique perspective on ways in which mathematicians: perceive their students' learning; teach; reflect on their teaching practice. Elena Nardi achieves this by employing two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. The construction of these characters is based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work, collected and analyzed over a substantial period.

Becoming the Math Teacher You Wish You'd Had

Author : Tracy Johnston Zager
Publisher : Taylor & Francis
Page : 393 pages
File Size : 52,9 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839514

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Becoming the Math Teacher You Wish You'd Had by Tracy Johnston Zager Pdf

Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

Meaning in Mathematics Education

Author : Jeremy Kilpatrick,Celia Hoyles,Ole Skovsmose
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 54,5 Mb
Release : 2006-03-30
Category : Education
ISBN : 9780387240404

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Meaning in Mathematics Education by Jeremy Kilpatrick,Celia Hoyles,Ole Skovsmose Pdf

What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.

Mathematics Teacher Noticing

Author : Miriam Sherin,Vicki Jacobs,Randy Philipp
Publisher : Routledge
Page : 250 pages
File Size : 53,8 Mb
Release : 2011-02-01
Category : Education
ISBN : 9781136838255

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Mathematics Teacher Noticing by Miriam Sherin,Vicki Jacobs,Randy Philipp Pdf

Mathematics Teacher Noticing is the first book to examine research on the particular type of noticing done by teachers---how teachers pay attention to and make sense of what happens in the complexity of instructional situations. In the midst of all that is happening in a classroom, where do mathematics teachers look, what do they see, and what sense do they make of it? This groundbreaking collection begins with an overview of the construct of noticing and the various historical, theoretical, and methodological perspectives on teacher noticing. It then focuses on studies of mathematics teacher noticing in the context of teaching and learning and concludes by suggesting links to other constructs integral to teaching. By collecting the work of leaders in the field in one volume, the editors present the current state of research and provide ideas for how future work could further the field.

Mathematical Knowledge in Teaching

Author : Tim Rowland,Kenneth Ruthven
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 49,6 Mb
Release : 2011-01-06
Category : Education
ISBN : 9789048197668

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Mathematical Knowledge in Teaching by Tim Rowland,Kenneth Ruthven Pdf

The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Opening the Research Text

Author : Elizabeth de Freitas,Kathleen Nolan
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 41,6 Mb
Release : 2007-12-19
Category : Education
ISBN : 9780387754642

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Opening the Research Text by Elizabeth de Freitas,Kathleen Nolan Pdf

An innovative contribution to educational research is to be found in this book. The book addresses the need to generate texts that assist educators and future educators in taking up new research and making sense of it. It offers unique approaches to interpreting research within the mathematics education field and takes its place in a growing set of resources. The book will appeal to teacher educators, student teachers, and mathematics education researchers alike.

Cases for Mathematics Teacher Educators

Author : Dorothy Y. White,Sandra Crespo,Marta Civil
Publisher : Information Age Publishing
Page : 0 pages
File Size : 53,9 Mb
Release : 2016
Category : Elementary school teachers
ISBN : 1681236265

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Cases for Mathematics Teacher Educators by Dorothy Y. White,Sandra Crespo,Marta Civil Pdf

A volume in The Association of Mathematics Teacher Educators (AMTE) Professional Book Series The Association of Mathematics Teacher Educators (AMTE) in its 2015 position paper on Equity in Mathematics Teacher Education provides a list of actions for mathematics teacher educators (MTE's) to help them develop and implement equitable practices. The position paper states it is critical that mathematics teacher educators: "Model equity‐based pedagogy that emphasizes rich and rigorous mathematics; elicit and build on children's and young adults' mathematical thinking; connect to P‐12 students' cultural/linguistic knowledge and backgrounds as well as individual interests; facilitate mathematical discourse; minimize status issues by expanding broader participation and engagement where varied mathematical strengths are valued; and promote positive mathematical identity and agency (p. 2)". Cases for Mathematics Teacher Educators: Facilitating Conversations about Inequities in Mathematics Classrooms provides an excellent resource to start conversations describing the enactment of these actions. The book is organized into three main sections: (1) Conversations About Inequities in Mathematics Methods Courses, (2) Conversations About Inequities in Mathematics Content Courses, and (3) Conversations about Inequities in Graduate and Professional Development Contexts. Across these sections there are 19 cases and 57 corresponding commentaries focused on dilemmas that arise when mathematics teacher educators foreground equity in their work. This book of cases provides a needed resource for MTEs to engage prospective teachers, practicing teachers, and future teacher educators in discussions about inequities, privilege, and oppression in society, in schools, and in the mathematics classroom. It is the product of the thinking and experiences of 87 authors who are committed to the improvement of mathematics teacher education.

Mathematics Matters in Education

Author : Yeping Li,W. James Lewis,James J. Madden
Publisher : Springer
Page : 303 pages
File Size : 49,9 Mb
Release : 2017-10-03
Category : Education
ISBN : 9783319614342

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Mathematics Matters in Education by Yeping Li,W. James Lewis,James J. Madden Pdf

This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.