Teaching Mathematics With Insight


Teaching Mathematics With Insight
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Teaching Mathematics With Insight


Teaching Mathematics With Insight
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Author : Anne D. Cockburn
language : en
Publisher: Routledge
Release Date : 2005-08-11

Teaching Mathematics With Insight written by Anne D. Cockburn and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-11 with Education categories.


The Initial Teacher Training National Curriculum says that student teachers should be trained to analyse pupil's errors in maths and act accordingly. This is the only book that supports teachers' analysis of mathematical errors and helps them predict potential problems and propose solutions for themselves. Written in an accessible style, Teaching Mathematics with Insight guides the primary and early years teacher, and the student teacher through a series of processes that will enable them to become more effective and enlightened teachers of early mathematics. The processes include: unravelling the complexities of a concept, for example subtraction, by considering its component parts and the knowledge required to acquire understanding; watching children work to observe common mistakes and analyse the underlying misconceptions; discussing the concepts with other adults.



Insights Into Teaching Mathematics


Insights Into Teaching Mathematics
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Author : Anthony Orton
language : en
Publisher: A&C Black
Release Date : 2004-10-01

Insights Into Teaching Mathematics written by Anthony Orton and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-01 with Education categories.


Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special attention is paid to the topic approach and mathematics across the curriculum. The assessment of mathematical attainment is also dealt with thoroughly. Teachers will find this book an invaluable companion in their day-to-day teaching.



Opening The Research Text


Opening The Research Text
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Author : Elizabeth de Freitas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-19

Opening The Research Text written by Elizabeth de Freitas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-19 with Education categories.


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.



A Journey In Mathematics Education Research


A Journey In Mathematics Education Research
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Author : Erna Yackel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-30

A Journey In Mathematics Education Research written by Erna Yackel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-30 with Education categories.


Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.



A Journey In Mathematics Education Research


A Journey In Mathematics Education Research
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Author : Erna Yackel
language : en
Publisher: Springer
Release Date : 2011-04-08

A Journey In Mathematics Education Research written by Erna Yackel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-08 with Education categories.


Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.



Theorizing And Measuring Affect In Mathematics Teaching And Learning


Theorizing And Measuring Affect In Mathematics Teaching And Learning
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Author : Chiara Andrà
language : en
Publisher: Springer Nature
Release Date : 2021-01-23

Theorizing And Measuring Affect In Mathematics Teaching And Learning written by Chiara Andrà and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-23 with Education categories.


This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.



What Counts In Teaching Mathematics


What Counts In Teaching Mathematics
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Author : Sandy Schuck
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-04

What Counts In Teaching Mathematics written by Sandy Schuck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-04 with Education categories.


In this book, internationally recognised scholars and practitioners synthesise current practice and research developments in the area of mathematics teacher education and mathematics education. The book’s two sections examine the role and significance of collaborations and critical friends in the self-study of mathematics teaching and teacher education; and the emerging conflicts, dilemmas and incongruities arising from the study of mathematics education practices. The book considers the insights gained from self-analysis regarding the practitioner themselves, as well as their pedagogical content, students and approaches. The contributions highlight the complexity, characteristics and features of mathematics education. The chapters reveal nuances in teaching and learning that are of particular relevance in mathematics education. In addition, the book contains ideas and suggestions on how to enhance the teaching of mathematical content to pre-service teachers. Accordingly, the book appeals to a wide audience of educators—including education academics, teachers, student teachers and researchers. As teacher educators involved in mathematics education, reflection on practice and engagement in practitioner research is becoming increasingly important in our efforts to enhance our teaching. Teachers and student teachers also gain from the insights arising from such reflection. The knowledge and experience encapsulated in this book provides much for the mathematics education community to build on.



Research For Educational Change


Research For Educational Change
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Author : Jill Adler
language : en
Publisher: Routledge
Release Date : 2016-06-17

Research For Educational Change written by Jill Adler and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Education categories.


Research for Educational Change presents ways in which educational research can fulfil its commitments to educational practice. Focussing its discussion within the context of mathematics education, it argues that while research-generated insights can have beneficial effects on learning and teaching, the question of how these effects are to be generated and sustained is far from evident. The question of how to turn research into educational improvement is discussed here in the context of learning and teaching hindered by poverty and social injustice. In the first part of the book, four teams of researchers use different methodologies while analysing the same corpus of data, collected in a South African mathematics classroom. In the second part, each of these teams makes a specific proposal about what can be done and how so that its research-generated insights have a tangible, beneficial impact on what is happening in mathematical classrooms. Combining two discourses – that of researchers speaking to one another, and that of researchers communicating their insights to those responsible for educational practice – the book deals with the perenial question of communication between those who study educational processes and those who are directly responsible for teacher education, educational research and classroom practices. This book will be key reading for postgraduates, researchers and academics in education and particularly in the areas of mathematics education, education research, teacher education and classroom practice. It will also appeal to teacher educators, practitioners and undergraduate students interested in educational research.



Technology Enabled Mathematics Education


Technology Enabled Mathematics Education
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Author : Catherine Attard
language : en
Publisher: Routledge
Release Date : 2019-11-28

Technology Enabled Mathematics Education written by Catherine Attard and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-28 with Education categories.


Technology-enabled Mathematics Education explores how teachers of mathematics are using digital technologies to enhance student engagement in classrooms, from the early years through to the senior years of school. The research underpinning this book is grounded in real classrooms. The chapters offer ten rich case studies of mathematics teachers who have become exemplary users of technology. Each case study includes the voices of leaders, teachers and their students, providing insights into their practices, beliefs and perceptions of mathematics and technology-enabled teaching. These insights inform an exciting new theoretical model, the Technology Integration Pyramid, for guiding teachers and researchers as they endeavour to understand the complexities involved in planning for effective teaching with technology. This book is a unique resource for educational researchers and students studying primary and secondary mathematics teaching, as well as practising mathematics teachers.



Structure And Insight


Structure And Insight
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Author : Pierre M. van Hiele
language : en
Publisher:
Release Date : 1986

Structure And Insight written by Pierre M. van Hiele and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Education categories.