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Perspectives on mathematics education
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ISBN: 9027721181 9400945043 9027719292 9789027721181 Year: 1985 Publisher: Dordrecht

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Book
Becoming a mathematics teacher : identity and identifications
Authors: ---
ISBN: 9400705530 9786613086204 9400705549 1283086204 Year: 2011 Volume: v. 53 Publisher: Dordrecht ; New York : Springer,

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This book is about people preparing to teach mathematics to children in the first half of their schooling. It is also about what mathematics becomes in a school context responding to insistent demands to raise standards. The book asks how aspirant teachers begin to think of themselves as teachers, and about mathematics in particular, when they have many years of experience as pupils in school behind them, which did not always leave a positive image of mathematics. How do they change how they are, or even who they are, as they proceed through a teacher education programme into their first teaching post, where mathematics is just one of many subjects to be taught? They will encounter diverse and complex social demands that cannot necessarily be reconciled, since the work of schools is targeted at enabling pupils to participate in a rapidly changing world where consensus on educational objectives seems difficult to achieve.  Conflicting priorities can result in teachers being pulled in many directions, where their personal aspirations confront an official story that portrays the journey into teaching as a sequence of criteria to be fulfilled. Centred on over 200 hours of interview data from government-funded studies directed by the authors the book documents teachers over a five-year period, from the outset of their training to the end of their first year of teaching in a school. These interviews coincided with a major national curriculum initiative that through prescriptive and detailed regulation set the characteristics of a good teacher and the content of mathematics to be taught. Aimed primarily at teacher educators the book will also appeal to researchers across the field of education for its unique theoretical perspective drawing on contemporary psychoanalytical theory in portraying the identities that teachers come to occupy, and the forms of mathematics with which they identify. It also presents a vivid account of what educational policy implementation looks like through the voices of teachers building their practices.  .

The professional education and development of teachers of mathematics : the 15th ICMI study
Authors: --- ---
ISBN: 0387096000 1441934960 9786611904029 1281904023 0387096019 Year: 2009 Publisher: New York : Springer,

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The premise of the 15th ICMI Study is that teachers are key to students' opportunities to learn mathematics. What teachers of mathematics know, care about, and do is a product of their experiences and socialization, together with the impact of their professional education. The Professional Education and Development of Teachers of Mathematics assembles important new international work- development, research, theory and practice - concerning the professional education of teachers of mathematics. As it examines critical areas to reveal what is known and what significant questions and problems warrant collective attention, the volume also contributes to the strengthening of the international community of mathematics educators. Preparing and maintaining a high-quality, professional teaching force that can teach mathematics effectively and prepare youth for a future of social responsibility is a worldwide challenge. As such, systems of teacher education, both initial and continuing, are essential to the success of mathematics educators and their students. More international exchange of knowledge and information about the professional development would certainly benefit both groups, and this volume seeks to address the need. The Professional Education and Development of Teachers of Mathematics offers a cross-cultural conversation about mathematics teacher education in mathematics around the world with attention given to research, theory, practice and policy.


Book
Tasks in primary mathematics teacher education : purpose, use and exemplars
Authors: --- ---
ISBN: 038709668X 1441935096 9786611861001 1281861006 0387096698 Year: 2009 Publisher: New York, N.Y. : Springer,

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Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.


Book
The Art of Proof : Basic Training for Deeper Mathematics
Authors: ---
ISBN: 9781441970237 9781441970220 1441970223 9786613569301 1441970231 1280391383 Year: 2010 Publisher: New York, NY : Springer New York : Imprint: Springer,

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The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. Some of the proofs are presented in detail, while others (some with hints) may be assigned to the student or presented by the instructor. The authors recommend that the two parts of the book -- Discrete and Continuous -- be given equal attention. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.


Book
Mathematics Teaching and Learning : South Korean Elementary Teachers' Mathematical Knowledge for Teaching
Authors: ---
ISBN: 9783319135427 3319135414 9783319135410 3319135422 Year: 2015 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This analysis of elementary mathematics instruction in South Korea examines local successes while spotlighting global concerns of education professionals. Findings in this research reveal specific domains of mathematics knowledge that best influence students' understanding, retaining, and owning of content. Aspects of teacher knowledge studied go beyond mastery of the subject matter, extending to how educators impart knowledge and how learners develop productive relationships with information. These results suggest possibilities for future directions in teacher training, certification, and career development.   Among the topics covered:   Models and methods for studying mathematical knowledge for teaching.   Teachers' knowledge for teaching mathematics: a history of the research. Five categories of elementary mathematics teachers' knowledge and how they interrelate in teaching. Uses of different types of educational knowledge in lesson planning, classroom teaching, and evaluating student work. The role of pedagogical procedure in establishing pedagogical content knowledge. The social context of South Korea's National Mathematics Curriculum.   By emphasizing teacher quality and school accountability, Mathematics Teaching and Learning identifies--and addresses--issues of pressing importance to education researchers, teacher educators, and mathematics educators, and has the potential to inform administrators and policymakers.    .


Book
Cases of Mathematics Professional Development in East Asian Countries : Using Video to Support Grounded Analysis
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ISBN: 9789812874054 9812874046 9789812874047 9812874054 Year: 2015 Publisher: Singapore : Springer Singapore : Imprint: Springer,

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This book shows how video technology can be used to inform teachers’ personal practice, and provides new data and real-world case studies not covered by any previous book on the subject. Initial chapters explore how practicing teachers can view their own recorded lessons and take steps to improve their methods, while subsequent chapters examine how pre-service and in-service teachers can use recorded lessons to improve how they teach selected concepts, or to convey specific learning processes such as mathematical modeling and problem solving better.


Book
From text to 'lived' resources : mathematics curriculum materials and teacher development
Authors: --- ---
ISBN: 9400719655 9786613456120 1283456125 9400719663 9789400719651 Year: 2012 Publisher: New York : Springer,

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Curriculum materials and the interaction with these materials and resources is central in teacher education and professional development. How teachers use and learn from materials fundamentally depends on the interactions between three components: the reader, the material and the context. Teachers’ use and learning from text-based materials depends to a large extent on the characteristics of the materials, on the teaching activity in which the teacher is engaged, teachers’ beliefs and knowledge, and how these are aligned with the curriculum. What kinds of curriculum materials do teachers select and use, and how? How do teachers learn from these materials, and in which ways do they ‘tailor’ them for their use and pupil learning? These factors interact in complex ways, as teachers select, interpret and shape the materials, individually and collaboratively with groups of colleagues. The characteristics of the resources shape the teacher’s activity; analysing these characteristics enlightens the mathematics presented to the students, and more generally the classroom practice and the development of teacher professional knowledge. The purpose of this book is to provide a wider perspective on this issue in the field of mathematics education. It studies curriculum materials and their uses, in addition to investigations of teacher adaptation and use of those materials, and pays particular attention to digital resources. Teacher’s professional activity is studied as a whole, at different moments and in different contexts, in-class and out-of-class, with a variety of agents. The collective dimensions of this activity, the role of a variety of collectives for teachers professional development, constitute a major focus of the work presented here.

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