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A Study Of Concrete And Formal Operations In School Mathematics
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Book Synopsis A Study of Concrete and Formal Operations in School Mathematics by : Kevin Francis Collis
Download or read book A Study of Concrete and Formal Operations in School Mathematics written by Kevin Francis Collis and published by . This book was released on 1975 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents an interpretation of Piaget's formulation of the concrete-operational to formal-operational level of the cognitive functioning continuum by using material from elementary mathematics. The proposal is made that concrete- operational level reasoning can be distinguished from formal operational by its dependence on empirical cues, the movement up the continuum being marked by a lessening dependence upon empirical support. Reality for a child in this context is seen as being bound up with the notion of closure or uniqueness which in its turn is related to both the kind of elements operated upon, and the number and type of operations involved.
Book Synopsis A Study of Concrete and Formal Operations in School Mathematics by : K. F. Collis
Download or read book A Study of Concrete and Formal Operations in School Mathematics written by K. F. Collis and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Study of Concrete and Formal Operations in School Mathematics by : Kevin Francis Collis
Download or read book A Study of Concrete and Formal Operations in School Mathematics written by Kevin Francis Collis and published by . This book was released on 1972 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Resources in Education written by and published by . This book was released on 1994 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Learning Mathematics by : Anthony Orton
Download or read book Learning Mathematics written by Anthony Orton and published by A&C Black. This book was released on 2004-10-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.
Book Synopsis Mathematical Cognition by : James M. Royer
Download or read book Mathematical Cognition written by James M. Royer and published by IAP. This book was released on 2003-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Early Algebra written by Carolyn Kieran and published by Springer. This book was released on 2016-07-11 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.
Book Synopsis Modern Mathematics by : Dirk De Bock
Download or read book Modern Mathematics written by Dirk De Bock and published by Springer Nature. This book was released on 2023-03-08 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international New Math developments between about 1950 through 1980, are regarded by many mathematics educators and education historians as the most historically important development in curricula of the twentieth century. It attracted the attention of local and international politicians, of teachers, and of parents, and influenced the teaching and learning of mathematics at all levels—kindergarten to college graduate—in many nations. After garnering much initial support it began to attract criticism. But, as Bill Jacob and the late Jerry Becker show in Chapter 17, some of the effects became entrenched. This volume, edited by Professor Dirk De Bock, of Belgium, provides an outstanding overview of the New Math/modern mathematics movement. Chapter authors provide exceptionally high-quality analyses of the rise of the movement, and of subsequent developments, within a range of nations. The first few chapters show how the initial leadership came from mathematicians in European nations and in the United States of America. The background leaders in Europe were Caleb Gattegno and members of a mysterious group of mainly French pure mathematicians, who since the 1930s had published under the name of (a fictitious) “Nicolas Bourbaki.” In the United States, there emerged, during the 1950s various attempts to improve U.S. mathematics curricula and teaching, especially in secondary schools and colleges. This side of the story climaxed in 1957 when the Soviet Union succeeded in launching “Sputnik,” the first satellite. Undoubtedly, this is a landmark publication in education. The foreword was written by Professor Bob Moon, one of a few other scholars to have written on the New Math from an international perspective. The final “epilogue” chapter, by Professor Geert Vanpaemel, a historian, draws together the overall thrust of the volume, and makes links with the general history of curriculum development, especially in science education, including recent globalization trends.
Book Synopsis Research and Supervision in Mathematics and Science Education by : John A. Malone
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.
Book Synopsis The Effectiveness of Concrete and Formal Instruction with Concrete and Formal Operational Basic Mathematics Students by : Marian Lynett Collins
Download or read book The Effectiveness of Concrete and Formal Instruction with Concrete and Formal Operational Basic Mathematics Students written by Marian Lynett Collins and published by . This book was released on 1984 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theories of Mathematics Education by : Bharath Sriraman
Download or read book Theories of Mathematics Education written by Bharath Sriraman and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Book Synopsis Addition and Subtraction by : Thomas P. Carpenter
Download or read book Addition and Subtraction written by Thomas P. Carpenter and published by Routledge. This book was released on 2020-08-15 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hallmark of much of the research on children’s thinking in the 1970s had been the focus on explicit content domains. Much of this research had been represented by an eclectic collection of studies sampled from a variety of disciplines and content areas. However, in the few years before this publication, research in several content domains has begun to coalesce into a coherent body of knowledge. Originally published in 1982, the chapters in this work represent one of the first attempts to bring together the perspectives of a variety of different researchers investigating a specific, well defined content domain. This book presents theoretical views and research findings of a group of international scholars who are investigating the early acquisition of addition and subtraction skills by young children. Together, the contributors bring a blend of psychology, educational psychology, and mathematics education to this topic. Fields of interest such as information processing, artificial intelligence, early childhood, and classroom teaching and learning are included in this blend.
Book Synopsis Investigations in Mathematics Education by :
Download or read book Investigations in Mathematics Education written by and published by . This book was released on 1976 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Language and Operational Thought by : Barbara Presseisen
Download or read book Language and Operational Thought written by Barbara Presseisen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume in a series that records the official Symposium Pro ceedings of the Jean Piaget Society. Like the first volume, this work includes theoretical, empirical, and applied aspects of Jean Piaget' s seminal epistemology. The focus of this publication is the intricate interplay of language development and the development of operational thought. All the papers in this volume were presented at the third and fourth annual symposia of the Society. The authors are a formidable group of scholars from around the world who are working in Piagetian theory in many fields of endea vor. Their work shows the breadth and depth of Piaget's studies, as well as the richness of his ideas over time. The Jean Piaget Society was founded to provide a forum in which scholars and educators could examine and explicate the concepts of genetic epistemology. In many cases, the papers presented at the annual symposia raise many more issues than they resolve. That they generate discussion and further research is self-evident. Such activity is a tribute both to Professor Piaget and to the Society. Further volumes in this series will record the research presented at later symposia.
Book Synopsis Research in Collegiate Mathematics Education by : Ed Dubinsky
Download or read book Research in Collegiate Mathematics Education written by Ed Dubinsky and published by American Mathematical Soc.. This book was released on 1994 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of research in collegiate mathematics education has grown rapidly over the past twenty-five years. Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to learn mathematics and how pedagogy can be more directly related to the learning process. Today there is a substantial body of work and a growing group of researchers addressing both basic and applied issues of mathematics education at the collegiate level. This volume is testimony to the growth of the field. The intention is to publish volumes on this topic annually, doing more or less as the level of growth dictates. The introductory articles, survey papers, and current research that appear in this first issue convey some aspects of the state of the art. The book is aimed at researchers in collegiate mathematics education and teachers of college-level mathematics courses who may find ideas and results that are useful to them in their practice of teaching, as well as the wider community of scholars interested in the intellectual issues raised by the problem of learning mathematics.
Book Synopsis Research in Collegiate Mathematics Education II by : James J. Kaput
Download or read book Research in Collegiate Mathematics Education II written by James J. Kaput and published by American Mathematical Soc.. This book was released on 1996 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of research in collegiate mathematics education has grown rapidly over the past 25 years. Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to learn mathematics and how pedagogy can be more directly related to the learning process. Today there is a substantial body of work and a growing group of researchers addressing both basic and applied issues of mathematics education at the collegiate level. This second volume in Research in Collegiate Mathematics Education begins with a paper that attends to methodology and closes with a list of questions. The lead-off paper describes a distinctive approach to research on key concepts in the undergraduate mathematics curriculum. This approach is distinguished from others in several ways, especially its integration of research and instruction. The papers in this volume exhibit a large diversity in methods and purposes, ranging from historical studies, to theoretical examinations of the role of gender in mathematics education, to practical evaluations of particular practices and circumstances. As in RCME I, this volume poses a list of questions to the reader related to undergraduate mathematics education. The eighteen questions were raised at the first Oberwolfach Conference in Undergraduate Mathematics Education, which was held in the Fall of 1995, and are related to both research and curriculum. This series is published in cooperation with the Mathematical Association of America.
Book Synopsis Abstract Mathematical Cognition by : Wolfgang Grodd
Download or read book Abstract Mathematical Cognition written by Wolfgang Grodd and published by Frontiers Media SA. This book was released on 2016-08-09 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the importance of mathematics in our educational systems little is known about how abstract mathematical thinking emerges. Under the uniting thread of mathematical development, we hope to connect researchers from various backgrounds to provide an integrated view of abstract mathematical cognition. Much progress has been made in the last 20 years on how numeracy is acquired. Experimental psychology has brought to light the fact that numerical cognition stems from spatial cognition. The findings from neuroimaging and single cell recording experiments converge to show that numerical representations take place in the intraparietal sulcus. Further research has demonstrated that supplementary neural networks might be recruited to carry out subtasks; for example, the retrieval of arithmetic facts is done by the angular gyrus. Now that the neural networks in charge of basic mathematical cognition are identified, we can move onto the stage where we seek to understand how these basics skills are used to support the acquisition and use of abstract mathematical concepts.
