Download or read book Piaget s Genetic Epistemology for Mathematics Education Research written by Paul Christian Dawkins and published by Springer Nature. This book was released on 2024-01-22 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget’s genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in mathematics. The depth and complexity of Piaget’s work can make it challenging to find adequate entry points for learners, not least because it requires a reorientation regarding the nature of mathematical knowledge itself. This volume gathers leading scholars to help address that challenge. The main section of the book presents key Piagetian constructs for mathematics education research such as schemes and operations, figurative and operative thought, images and meanings, and decentering. The chapters that discuss these constructs include examples from research and address how these constructs can be used in research. There are two chapters on various types of reflective abstraction, because this construct is Piaget’s primary tool for characterizing the advancement of knowledge. The later sections of the book contain commentaries reflecting on the contributions of the body of theory developed in the first section. They connect genetic epistemology to current research domains such as equity and the latest in educational psychology. Finally, the book closes with short chapters portraying how scholars are using these tools in specific arenas of mathematics education research, including in special education, early childhood education, and statistics education.
Download or read book Mathematical Epistemology and Psychology written by E.W. Beth and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth's approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and (c) reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote lian view discursive reasoning plays a major role in mathematics, whilst pure intuition plays a somewhat subordinate one.
Download or read book The Principles of Genetic Epistemology written by Jean Piaget and published by Psychology Press. This book was released on 1997 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book How Children Learn Mathematics written by Richard W. Copeland and published by Macmillan College. This book was released on 1984 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text has two major purposes. One is diagnostic-to aid in discerning a child's stage of development as a basic for determining the type of mathematics for which he is ready. The second major purpose is to serve the "methods of teaching mathematics" courses in teacher education.l The reader will find this book very different from other methods texts because it is based on how children learn, not how to teach, and it should enable readers to see mathematics from the standpoint of the child as he progresses through the various stages of development.
Download or read book Piaget s Logic written by Muriel Seltman and published by Routledge. This book was released on 2013-01-11 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The literature relating to the work of Piaget is large and still growing. Some of it is Piagetian; some of it is critical. Most of this has been directed towards his experimental methodology and the conclusions drawn from it. The justification for the present contribution lies in what the authors believe to be the special embodiment in Piagetian thought of a central theme of our time. This theme is that the only possibility of truth lies in measurability and that knowledge is not recognisable unless it satisfies this criterion. This work is concentrated in the first instance on Piaget's claims that mental structures are exclusively logical mathematical in form, especially since this part of his work has received least attention. This book was first published in 1985.
Download or read book Genetic Epistemology written by Jean Piaget and published by . This book was released on 1970 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Genetic Epistemology written by Jean Piaget and published by Routledge. This book was released on 2013-07-04 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Piagetian Cognitive development Research and Mathematical Education written by Myron Frederick Rosskopf and published by . This book was released on 1971 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approaches to Qualitative Research in Mathematics Education written by Angelika Bikner-Ahsbahs and published by Springer. This book was released on 2014-11-26 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.
Download or read book New Mathematics Education Research and Practice written by Jürgen Maasz and published by Sense Publishers. This book was released on 2006 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics. Although our knowledge of the process is more extensive and deeper despite the fragmented nature of research in this area, there is still a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview by addressing some carefully chosen questions on what is going on and what are the main results and questions what are important books or papers if further information is needed.
Download or read book The Learning Theory of Piaget and Inhelder written by Jeanette McCarthy Gallagher and published by iUniverse. This book was released on 2002 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first compilation of research and concepts from genetic epistemology that directly addresses issues related to learning, The Learning Theory of Piaget and Inhelder emphasizes Piaget’s biological model and the importance of regulatory mechanisms, rather than stage theory. Consequently, the impact of feedback from observables in modifying the actions of a person engaged in an activity—an idea directly related to traditional learning theory—is a key concept in this book. Furthermore, this text uniquely addresses Barbel Inhelder’s important contributions to the Genevan School, particularly with respect to her empirical investigations of teaching-learning interactions and student strategizing. The book also summarizes Piaget’s latest thinking on equilibration as well as the Geneven studies on contradiction, awareness, reflexive abstraction, and correspondence as they relate directly or indirectly to learning of all children, including children with disabilities. Most significantly, this volume incorporates essential aspects of Piaget’s biological model that were previously available only in untranslated works. Finally, easily accessible speeches on developmental psychology, the theory of stages, problems of equilibration and creativity given by Piaget and Inhelder are included in their entirety. The foreword to the book was written by Piaget and Inhelder.
Download or read book Vital Directions for Mathematics Education Research written by Keith R Leatham and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a collection of chapters from prominent mathematics educators in which they each discuss vital issues in mathematics education and what they see as viable directions research in mathematics education could take to address these issues. All of these issues are related to learning and teaching mathematics. The book consists of nine chapters, seven from each of seven scholars who participated in an invited lecture series (Scholars in Mathematics Education) at Brigham Young University, and two chapters from two other scholars who are writing reaction papers that look across the first seven chapters. The recommendations take the form of broad, overarching principles and ideas that cut across the field. In this sense, this book differs from classical “research agenda projects,” which seek to outline specific research questions that the field should address around a central topic.
Download or read book Pursuing Excellence in Mathematics Education written by Edward Silver and published by Springer. This book was released on 2014-11-26 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contributions from a variety of skilled mathematics educators, this text honors Jeremy Kilpatrick, reflecting on his groundbreaking papers, book chapters, and books - many of which are now standard references in the literature - on mathematical problem solving, the history of mathematics education, mathematical ability and proficiency, curriculum change and its history, global perspectives on mathematics education, and mathematics assessment. Many chapters also offer substantial contributions of their own on important themes, including mathematical problem solving, mathematics curriculum, the role of theory in mathematics education, the democratization of mathematics, and international perspectives on the professional field of mathematics education.
Download or read book Learning Through Teaching Mathematics written by Roza Leikin and published by Springer Science & Business Media. This book was released on 2010-04-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of teachers Learning through Teaching (LTT) – when presented to a naïve bystander – appears as an oxymoron. Are we not supposed to learn before we teach? After all, under the usual circumstances, learning is the task for those who are being taught, not of those who teach. However, this book is about the learning of teachers, not the learning of students. It is an ancient wisdom that the best way to “truly learn” something is to teach it to others. Nevertheless, once a teacher has taught a particular topic or concept and, consequently, “truly learned” it, what is left for this teacher to learn? As evident in this book, the experience of teaching presents teachers with an exciting opp- tunity for learning throughout their entire career. This means acquiring a “better” understanding of what is being taught, and, moreover, learning a variety of new things. What these new things may be and how they are learned is addressed in the collection of chapters in this volume. LTT is acknowledged by multiple researchers and mathematics educators. In the rst chapter, Leikin and Zazkis review literature that recognizes this phenomenon and stress that only a small number of studies attend systematically to LTT p- cesses. The authors in this volume purposefully analyze the teaching of mathematics as a source for teachers’ own learning.
Download or read book The Handbook of Mathematics Teacher Education Volume 4 written by and published by BRILL. This book was released on 2008-01-01 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematics Teacher Education, the first of its kind, addresses the learning of mathematics teachers at all levels of schooling to teach mathematics, and the provision of activity and programmes in which this learning can take place. It consists of four volumes. Volume 4 of this handbook has the title The Mathematics Teacher Educator as a Developing Professional.
Download or read book Research and Supervision in Mathematics and Science Education written by John A. Malone and published by Routledge. This book was released on 2013-11-26 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and Supervision in Mathematics and Science Education provides student researchers and their supervisors with information about both the essentials of planning, conducting, reporting, and publishing qualitative research, and the characteristics of quality supervision. It is focused primarily for postgraduate research students in mathematics and science education and their supervisors. It will also be of interest to students and faculty in other disciplines that use educational and sociological research paradigms. The volume builds on two phenomena of recent years: first, the increasing momentum of postgraduate research in mathematics and science education and, second, the resulting need of those involved for knowledge about doing research and about engaging in quality supervision. The decision to address both research and supervision in one volume is a response to the fact that faculty who supervise postgraduate research often are in need of resources covering not only aspects of project and thesis supervision, but also the knowledge to assist students in research design, especially in the qualitative field. Drawing on recent research and practice, the authors of the chapters in this book illustrate approaches and strategies that have been used successfully with, and by, postgraduate students. The book also has a strong future orientation, describing how postgraduate supervision and research will change as more and more students gain access to and make use of the vast array of technological resources now available. A necessary and unique addition to books in the field of postgraduate research and supervision, this volume's particular appeal stems from its practical approach, its creative future perspective, and the wide generalizability of the thinking and ideas it presents.
Download or read book Piaget and Knowing written by Beryl.A. Geber and published by Routledge. This book was released on 2013-01-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twin problem of helping students synthesise separate aspects of psychology and, as research workers, familiarising each other with our own thinking - prompted the series of seminars on which this volume is based. This book, like its associated seminars, represents not only the interests of the authors but also the needs of students, both undergraduate and graduate, for whom it has been prepared. The seminars were held in the Psychology Department at the London School of Economics and Political Science. This book aims to present an integration of some of the research problems that are current by showing how each is concerned with the problem of knowing and understanding and how together they throw light on some of the issues raised by Piaget.
