Coherent Dynamic Accounts Of Prospective Secondary Mathematics Teachers Knowledge Of And Beliefs About Mathematics
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Coherent Dynamic Accounts Of Prospective Secondary Mathematics Teachers Knowledge Of And Beliefs About Mathematics
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Author : Daniel Kevin Siebert
language : en
Publisher:
Release Date : 2000
Coherent Dynamic Accounts Of Prospective Secondary Mathematics Teachers Knowledge Of And Beliefs About Mathematics written by Daniel Kevin Siebert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This thesis presents accounts of the mathematical knowledge and beliefs of eight prospective secondary mathematics teachers (PSTs) as they progressed through a six-week unit on division of fractions that was designed to bring about change in their knowledge of and beliefs about mathematics. These accounts capture the sense that the PSTs made of their experiences during the unit and investigate how their knowledge and beliefs interacted to both facilitate and prevent change. One of the pressing problems currently facing mathematics education reform efforts is that PSTs frequently leave college with critical gaps in their understanding of secondary school mathematics topics and with traditional beliefs about mathematics, teaching and learning. Efforts to better prepare PSTs have only been partially successful, in part because teacher educators do not have a clear understanding of PSTs' knowledge of and beliefs about mathematics and how PSTs perceive of their experiences in classes designed to influence their knowledge and beliefs. This study used qualitative methods, including grounded theory, teaching experiment methodology, and case studies to investigate PSTs' knowledge of and beliefs about mathematics as they participated in the division of fractions unit. The PSTs' initial knowledge of division of fractions consisted mostly of procedural expertise, with only limited conceptual understanding. They tended to perceive of secondary school mathematics as an interrelated, consistent set of rules, procedures, facts and definitions. This interrelated rules perspective toward mathematics persisted for a short period after the PSTs began the unit. However, through a series of mathematical explorations, the PSTs were able to develop new understandings for division of fractions. This new conceptual knowledge led PSTs to rethink how they would teach division of fractions and to reconsider how they perceived mathematics. They began to view mathematics as a collection of rules and procedures that were supported by underlying concepts. Nevertheless, they continued to see rules and procedures as the major landmarks in the mathematical landscape, which in turn limited the mathematical understandings they were able to develop during the unit.
American Doctoral Dissertations
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Author :
language : en
Publisher:
Release Date : 1999
American Doctoral Dissertations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Dissertation abstracts categories.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2007
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Dissertations, Academic categories.
International Perspectives On Teacher Knowledge Beliefs And Opportunities To Learn
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Author : Sigrid Blömeke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-09
International Perspectives On Teacher Knowledge Beliefs And Opportunities To Learn written by Sigrid Blömeke 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 2013-09-09 with Education categories.
This book reviews the Teacher Education and Development Study: Learning to Teach Mathematics, which tested 23,000 primary and secondary level math teachers from 16 countries on content knowledge and asked their opinions on beliefs and opportunities to learn.
Attitudes Beliefs Motivation And Identity In Mathematics Education
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Author : Markku S. Hannula
language : en
Publisher: Springer
Release Date : 2016-06-29
Attitudes Beliefs Motivation And Identity In Mathematics Education written by Markku S. Hannula and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-29 with Education categories.
This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.
Beliefs A Hidden Variable In Mathematics Education
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Author : G.C. Leder
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
Beliefs A Hidden Variable In Mathematics Education written by G.C. Leder 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 2002 with Education categories.
This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
Developing Primary Mathematics Teaching
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Author : Tim Rowland
language : en
Publisher: SAGE
Release Date : 2009-03-09
Developing Primary Mathematics Teaching written by Tim Rowland and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-09 with Education categories.
How can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: - making sense of foundation knowledge - focusing on what teachers know about mathematics - transforming knowledge - representing mathematics to learners through examples, analogies, illustrations and demonstrations - connection - helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other - contingency - what to do when the unexpected happens Each chapter includes practical activities, lesson descriptions and extracts of classroom transcripts to help teachers reflect on effective practice.
Professional Development Of Mathematics Teachers
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Author : Berinderjeet Kaur
language : en
Publisher: Springer
Release Date : 2016-11-14
Professional Development Of Mathematics Teachers written by Berinderjeet Kaur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-14 with Education categories.
This book offers a counterpart to the extensive corpus of literature available on the same topic from a Western perspective. It showcases innovative approaches to professional development of mathematics teachers in Asian countries, and reports on both empirical and expository studies of teachers’ professional development in these counties. It provides scholars from non-English-speaking and under-represented Asian countries the opportunity to engage in discourse with other scholars in the field, and is the first book to present substantial contributions from scholars in Asia on the professional development of mathematics teachers in their respective countries. It includes perspectives that shed valuable light on how the approaches pursued in Asian countries resemble or differ from those in the West.
Alternative Theoretical Frameworks For Mathematics Education Research
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Author : Elizabeth de Freitas
language : en
Publisher: Springer
Release Date : 2016-08-31
Alternative Theoretical Frameworks For Mathematics Education Research written by Elizabeth de Freitas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-31 with Education categories.
This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research. We believe that a deep understanding of significant theories from the humanities and social sciences is crucial for doing high-quality research in education. For that reason, this book focuses on six key theoretical sources, unpacking their relevance and application to specific research examples. We situate these key theorists within a larger framework pertaining to the history of thought more generally, and discuss how competing theories of teaching and learning differ in terms of their philosophical assumptions. In so doing, we offer context and motivation for particular research methods, with the agenda of helping researchers reflect on why particular approaches and not others might work for them.
From Beliefs To Dynamic Affect Systems In Mathematics Education
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Author : Birgit Pepin
language : en
Publisher: Springer
Release Date : 2014-10-21
From Beliefs To Dynamic Affect Systems In Mathematics Education written by Birgit Pepin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-21 with Education categories.
This book connects seminal work in affect research and moves forward to provide a developing perspective on affect as the “decisive variable” of the mathematics classroom. In particular, the book contributes and investigates new conceptual frameworks and new methodological ‘tools’ in affect research and introduces the new field of ‘collectives’ to explore affect systems in diverse settings. Investigated by internationally renowned scholars, the book is build up in three dimensions. The first part of the book provides an overview of selected theoretical frames - theoretical lenses - to study the mosaic of relationships and interactions in the field of affect. In the second part the theory is enriched by empirical research studies and provides relevant findings in terms of developing deeper understandings of individuals’ and collectives’ affective systems in mathematics education. Here pupil and teacher beliefs and affect systems are examined more closely. The final part investigates the methodological tools used and needed in affect research. How can the different methodological designs contribute data which help us to develop better understandings of teachers’ and pupils’ affect systems for teaching and learning mathematics and in which ways are knowledge and affect related?