Construction Of Arithmetical Meanings And Strategies

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Construction of Arithmetical Meanings and Strategies

Author : Leslie P. Steffe
Publisher : Springer Science & Business Media
ISBN 13 : 1461238447
Total Pages : 362 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Construction of Arithmetical Meanings and Strategies by : Leslie P. Steffe

Download or read book Construction of Arithmetical Meanings and Strategies written by Leslie P. Steffe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The studies presented in this book should be of interest to anybody concerned with the teaching of arithmetic to young children or with cognitive development in general. The 'eaching experiment· was carried out with half a dozen children entering first grade over two years in biweekly sessions. Methodologically the authors' research is original. It is a longitudinal but not a naturalistic study, since the experimenter-teachers directed their interaction with each individual child with a view to his or her possible progress. It is experimental in the sense that two groups of subjects were selected according to criteria derived from an earlier study (Steffe, von Glasersfeld, Richards & Cobb, 1983) and that the problems proposed were comparable, though far from identical across the subjects; but unlike more rigid and shorter "learning" or ''training" studies it does not include pre-and posttests, or predetermined procedures. Theoretically, the authors subscribe to Piagefs constructivism: numbers are made by children, not found (as they may find some pretty rocks, for example) or accepted from adults (as they may accept and use a toy). The authors interpret changes in the children's counting behaviors in terms of constructivist concepts such as assimilation, accommodation, and reflective abstraction, and certain excerpts from protocols provide on-line examples of such processes at work. They also subscribe to Vygotsky's proposal for teachers '0 utilize the zone of proximal development and to lead the child to what he (can) not yet do· (1965, p. 104).

Construction of Arithmetical Meanings and Strategies

Author : Ernst V Glasersfeld
Publisher :
ISBN 13 : 9781461238454
Total Pages : 364 pages
Book Rating : 4.2/5 (384 download)

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Book Synopsis Construction of Arithmetical Meanings and Strategies by : Ernst V Glasersfeld

Download or read book Construction of Arithmetical Meanings and Strategies written by Ernst V Glasersfeld and published by . This book was released on 1987-12-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Construction of Arithmetical Meanings and Strategies

Author : Leslie P. Steffe
Publisher :
ISBN 13 : 9783540966883
Total Pages : 343 pages
Book Rating : 4.9/5 (668 download)

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Book Synopsis Construction of Arithmetical Meanings and Strategies by : Leslie P. Steffe

Download or read book Construction of Arithmetical Meanings and Strategies written by Leslie P. Steffe and published by . This book was released on 1988 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Young Children's Construction of Arithmetical Meanings and Strategies

Author : L. Steffe
Publisher :
ISBN 13 : 9783211966884
Total Pages : pages
Book Rating : 4.9/5 (668 download)

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Book Synopsis Young Children's Construction of Arithmetical Meanings and Strategies by : L. Steffe

Download or read book Young Children's Construction of Arithmetical Meanings and Strategies written by L. Steffe and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Learning Mathematics

Author : Paul Cobb
Publisher : Springer Science & Business Media
ISBN 13 : 9401720576
Total Pages : 204 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Learning Mathematics by : Paul Cobb

Download or read book Learning Mathematics written by Paul Cobb and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.

Constructing Number

Author : Anderson Norton
Publisher : Springer
ISBN 13 : 3030004910
Total Pages : 377 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Constructing Number by : Anderson Norton

Download or read book Constructing Number written by Anderson Norton and published by Springer. This book was released on 2018-12-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

The Development of Arithmetic Concepts and Skills

Author : Arthur J. Baroody
Publisher : Routledge
ISBN 13 : 1135672229
Total Pages : 516 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis The Development of Arithmetic Concepts and Skills by : Arthur J. Baroody

Download or read book The Development of Arithmetic Concepts and Skills written by Arthur J. Baroody and published by Routledge. This book was released on 2013-06-17 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including "normally" and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed "adaptive expertise" (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups. This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).

Analysis of Arithmetic for Mathematics Teaching

Author : Gaea Leinhardt
Publisher : Routledge
ISBN 13 : 1135440581
Total Pages : 469 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Analysis of Arithmetic for Mathematics Teaching by : Gaea Leinhardt

Download or read book Analysis of Arithmetic for Mathematics Teaching written by Gaea Leinhardt and published by Routledge. This book was released on 2020-11-25 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.

Rational Numbers

Author : Thomas P. Carpenter
Publisher : Routledge
ISBN 13 : 1136476571
Total Pages : 382 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis Rational Numbers by : Thomas P. Carpenter

Download or read book Rational Numbers written by Thomas P. Carpenter and published by Routledge. This book was released on 2012-10-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and learning in schools that will inform curriculum development and assessment. The chapters in this volume represent a first step toward an integration of research paradigms in one clearly specified mathematical domain. Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration. The research discussed in this volume is tied together because it deals with a common content strand. During the last ten years specific content domains have served as focal points for research on the development of mathematical concepts in children. The areas of addition and subtraction, algebra, rational numbers, and geometry are notable examples. Whether a similar organizational structure will prevail for programs of research that integrate the study of teaching, learning, curriculum, and assessment is an open question. The perspectives presented in this volume illustrate the potential for adopting this perspective.

RADICAL CONSTRUCTIVISM

Author : Ernst von Glasersfeld
Publisher : Routledge
ISBN 13 : 1135716056
Total Pages : 230 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis RADICAL CONSTRUCTIVISM by : Ernst von Glasersfeld

Download or read book RADICAL CONSTRUCTIVISM written by Ernst von Glasersfeld and published by Routledge. This book was released on 2013-08-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1995. In the past decade or two, the most important theoretical perspective to emerge in mathematics education has been that of constructivism. This burst onto the international scene at the controversial Eleventh International Conference on the Psychology of Mathematics Education in Montreal in the summer of 1987. No one there will forget von Glasersfeld's authoritative plenary presentation on radical constructivism, and his replies to critics. Ironically, the conference, at which attacks on radical constructivism were perhaps intended to expose fatally its weaknesses, served as a platform from which the theory was launched to widespread international acceptance and approbation. Radical constructivism is a theory of knowing that provides a pragmatic approach to questions about reality, truth, language and human understanding. It breaks with the philosophical tradition and proposes a conception of knowledge that focuses on experiential fit rather than metaphysical truth. It claims to be a useful approach, not the revelation of a timeless world. The ten chapters of this book present different facets in an elegantly written and thoroughly argued account of this epistemological position, providing a profound analysis of its central concepts.

Advanced Mathematical Thinking

Author : David Tall
Publisher : Springer Science & Business Media
ISBN 13 : 0306472031
Total Pages : 298 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Advanced Mathematical Thinking by : David Tall

Download or read book Advanced Mathematical Thinking written by David Tall and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

Teacher Knowledge and Practice in Middle Grades Mathematics

Author :
Publisher : BRILL
ISBN 13 : 9087906188
Total Pages : 319 pages
Book Rating : 4.0/5 (879 download)

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Book Synopsis Teacher Knowledge and Practice in Middle Grades Mathematics by :

Download or read book Teacher Knowledge and Practice in Middle Grades Mathematics written by and published by BRILL. This book was released on 2008-01-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent collection of research studies on teacher knowledge and its relation to instruction and learning in middle-grades mathematics. The authors provide comprehensive literature reviews on specific components of mathematics knowledge for teaching that have been found to be important for effective instruction.

Learning and Teaching Early Math

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 1135843805
Total Pages : 342 pages
Book Rating : 4.1/5 (358 download)

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Book Synopsis Learning and Teaching Early Math by : Douglas H. Clements

Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Routledge. This book was released on 2009-04-01 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

Teaching Mathematics in Primary Schools

Author : Robyn Jorgensen
Publisher : Routledge
ISBN 13 : 1000247708
Total Pages : 451 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Teaching Mathematics in Primary Schools by : Robyn Jorgensen

Download or read book Teaching Mathematics in Primary Schools written by Robyn Jorgensen and published by Routledge. This book was released on 2020-08-12 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This is an outstanding book: it should be high on the list of any primary school teacher's set of references and a required text for pre-service teachers.' Australian Primary Mathematics Classroom In our technology-rich world, numeracy is just as important as the smartphone in your pocket. Students need to develop mathematical ways of seeing the world and strong problem-solving skills, and those foundations are taught in the primary school classroom. Teaching Mathematics in Primary Schools covers the mathematical content taught in primary and middle years, always emphasising how students can connect what they learn in mathematics with other curriculum areas and with the world beyond the classroom. The authors draw on the latest international research to show how teachers can develop a rich repertoire of classroom teaching techniques, and effective planning, assessment and reporting methods. They outline approaches to creating supportive learning environments for all students, and to building their knowledge and confidence in using mathematics. This third edition has been updated throughout and includes a new chapter on numeracy. Evidence-based uses of digital technologies to support learning and teaching are included in every chapter. With practical strategies that can be implemented in the classroom, this book is an invaluable resource for pre-service and early career primary and middle years mathematics teachers.

Second Handbook of Research on Mathematics Teaching and Learning

Author : Frank K. Lester
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Mathematics Learning in Early Childhood

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309147433
Total Pages : 399 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics Learning in Early Childhood by : National Research Council

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Assessing Disciplinary Writing in Both Research and Practice

Author : Wright, Katherine Landau
Publisher : IGI Global
ISBN 13 : 1668482630
Total Pages : 344 pages
Book Rating : 4.6/5 (684 download)

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Book Synopsis Assessing Disciplinary Writing in Both Research and Practice by : Wright, Katherine Landau

Download or read book Assessing Disciplinary Writing in Both Research and Practice written by Wright, Katherine Landau and published by IGI Global. This book was released on 2023-08-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assessing Disciplinary Writing in Both Research and Practice tackles the challenge of measuring writing skills in specific content areas, which is crucial for preparing students to communicate as field experts and for their future careers. Edited by Katherine Wright, Associate Professor of Literacy and Language at Boise State University, and Tracey Hodges, Founder and Lead Consultant of The Empowering Advocate, this book provides solutions by bringing together validated measures and practical assessment strategies that can be used in both research and instruction. The book's theoretical foundations cover multimodal disciplinary writing, assessing disciplinary writing versus content-area writing, and using assessment as a tool for disciplinary writing instruction. Practical methods for assessing writing in social studies, science, mathematics, English and language arts, and other genres at the elementary, middle, and high school levels are included, as well as assessment strategies for specific populations of students such as undergraduate students, English learners, gifted and talented students, special needs students, and incarcerated students. This highly valued reference is essential for academic scholars, K12 teachers, and educational researchers who want to improve writing instruction and research in content- and discipline-specific areas. By providing validated measures and methods for assessing disciplinary writing, this edited book helps bridge the gap between research and practice and enables practitioners to better measure student growth and improve writing instruction. This publication is the first step towards advancing research and improving writing instruction in content- and discipline-specific areas.