Teaching And Learning Patterns In School Mathematics
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Teaching And Learning Patterns In School Mathematics
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Author : Ferdinand Rivera
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08
Teaching And Learning Patterns In School Mathematics written by Ferdinand Rivera 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 2014-07-08 with Education categories.
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.
Patterns In Mathematics Classroom Interaction
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Author : Jenni Ingram
language : en
Publisher: Oxford University Press
Release Date : 2021-03-01
Patterns In Mathematics Classroom Interaction written by Jenni Ingram and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-01 with Mathematics categories.
Classroom interaction has a significant influence on teaching and learning. It is through interaction that we solve problems, build ideas, make connections and develop our understanding. Patterns in Mathematics Classroom Interaction describes, exemplifies and considers the implications of patterns and structures of mathematics classroom interaction. Drawing on a Conversation Analytic approach, the book examines how the structures of interactions between teachers and students influence, enable, and constrain the mathematics that students are experiencing and learning in school. In particular, it considers the handling of difficulties or errors and the consequences on both the mathematics students are learning, and the learning of this mathematics. The various roles of silence and the treatment of knowledge and understanding within everyday classroom interactions also reveal the nature of mathematics as it is taught in different classrooms. Examples of students explaining, reasoning and justifying as they interact are also drawn upon to examine how the structures of classroom interaction support students to develop these discursive practices. The approach taken in Patterns in Mathematics Classroom Interaction enables the identification of not only what structures exist and pervade classroom discourse, but also how these structures influence teaching and learning. It is the understanding of how these structures affect students' experiences in the classroom that permits the use and development of practices that can support students' learning. This reflexive relationship between these structures of interactions and student actions and learning is central to the issues explored in this book, alongside the implications these may have for teachers' practice, and students' learning.
Mathematics Education In The Early Years
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Author : Tamsin Meaney
language : en
Publisher: Springer
Release Date : 2016-01-22
Mathematics Education In The Early Years written by Tamsin Meaney and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-22 with Education categories.
This book presents chapters based on papers presented at the second POEM conference on early mathematics learning. These chapters broaden the discussion about mathematics education in early childhood, by exploring the debate about construction versus instruction. Specific sections investigate the teaching and learning of mathematical processes and mathematical content, early childhood teacher development, transitions for young children between home and preschool, between home and school and between preschool and school. The chapters use a range of innovative theoretical and methodological approaches which will form an interesting basis for future research in this area.
Pattern In The Teaching And Learning Of Mathematics
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Author : Anthony Orton
language : en
Publisher: A&C Black
Release Date : 2004-10-01
Pattern In The Teaching And Learning Of 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.
This highly illustrated book draws together the wide variety of studies in the learning of mathematics undertaken by the Pattern in Mathematics Research Group at the University of Leeds. Their purpose has been '... to provide structure and support to ... studies of children's perception, conception and use of pattern in learning mathematics'. Set up in 1992, they have embraced work across the whole curriculum, and through all the years of compulsory schooling. As each chapter of this book relates to a different study that was undertaken, the reader can dip in and select relevant material. At the same time, the editor has ensured continuity and progression, allowing the book to be approached as a whole: the early chapters are concerned with very young children; subsequent chapters deal with the primary and middle age ranges, and later ones relate to secondary school work. With individual chapters relating to number, algebra, shape, graphic relations and probability, this new volume provides guidance for teachers of pupils of all age groups. Patterns in mathematics are of immense importance; this book relates pattern to the teaching of mathematics through all years of school. Practical and original, it is closely tied to the National Curriculum. It is a source of new ideas for mathematic teachers at all levels.
Affect And Mathematics Education
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Author : Markku S. Hannula
language : en
Publisher: Springer
Release Date : 2019-06-03
Affect And 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 2019-06-03 with Education categories.
This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.
Cultural Perspectives On The Mathematics Classroom
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Author : Steve Lerman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Cultural Perspectives On The Mathematics Classroom written by Steve Lerman 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 2013-04-17 with Education categories.
Mathematics teaching and learning have been dominated by a concern for the intellectual readiness of the child, debates over rote learning versus understanding and, recently, mathematical processes and thinking. The gaze into today's mathematics classroom is firmly focused on the individual learner. Recently, however, studies of mathematics in social practices, including the market place and the home, have initiated a shift of focus. Culture has become identified as a key to understanding the basis on which the learner appropriates meaning. The chapters in this timely book attempt to engage with this shift of focus and offer original contributions to the debate about mathematics teaching and learning. They adopt theoretical perspectives while drawing on the classroom as both the source of investigation and the site of potential change and development. The book will be of fundamental interest to lecturers and researchers and to teachers concerned with the classroom as a cultural phenomenon.
Proof In Mathematics Education
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Author : David A. Reid
language : en
Publisher: BRILL
Release Date : 2010-01-01
Proof In Mathematics Education written by David A. Reid and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Education categories.
Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education. This development is a welcome one for those interested in the topic, but also poses a challenge, especially to teachers and new scholars. It has become more and more difficult to get an overview of the field and to identify the key concepts used in research on proof and proving.
Connecting Mathematics And Mathematics Education
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Author : Erich Christian Wittmann
language : en
Publisher: Springer Nature
Release Date : 2020-12-09
Connecting Mathematics And Mathematics Education written by Erich Christian Wittmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-09 with Education categories.
This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.
Foundations Of Primary Mathematics Education
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Author : Fiona Budgen
language : en
Publisher: Taylor & Francis
Release Date : 2020-07-28
Foundations Of Primary Mathematics Education written by Fiona Budgen and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-28 with Education categories.
Many pre-service teachers admit to feeling unsure about the mathematics they will have to teach in primary school. Others find it difficult to know how to apply the theories of teaching and learning they study in other courses to the teaching of mathematics. This book begins by outlining some of the key considerations of effective mathematics teaching and learning. These include understanding student motivation, classroom management, overcoming maths anxiety and developing a positive learning environment. The authors also introduce the curriculum and assessment processes, and explore the use of ICT in the maths classroom. Part B outlines in a straightforward and accessible style the mathematical content knowledge required of a primary teacher. The content extends beyond the primary level to Year 9 of the Australian Curriculum as, while primary teachers may not have to teach this content, knowing it is a key part of being a strong teacher and will assist pre-service teachers to meet the requirements of the LANTITE (the Literacy and Numeracy Test for Initial Teacher Education students). Featuring graphics and worked examples and using clear and friendly language throughout, this is the essential introduction for students wishing to begin teaching primary mathematics with confidence and enthusiasm. 'The writing style is clean and uncomplicated; exactly what my maths education students need. The blend of theories, curriculum, planning, assessment and mathematical content knowledge strikes the balance that is missing in many texts.' -- Dr Geoff Hilton, University of Queensland
Mathematics Education In The Early Years
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Author : Martin Carlsen
language : en
Publisher: Springer Nature
Release Date : 2020-03-13
Mathematics Education In The Early Years written by Martin Carlsen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-13 with Education categories.
This book gives insights in the vivid research area of early mathematics learning. The collection of selected chapters mirrors the research topics presented at the fourth POEM conference in May 2018. Thematically, the volume reflects the importance of this evolving area of research, which has begun to attract attention in the spheres of education and public policy due to increased interest in early years learning. The research foci of the chapters comprise children’s mathematical reasoning, early years mathematics teaching, and the role of parents for children’s mathematical development. The 2018 conference included a wider range of researchers than previous years.