Constructivist Views on the Teaching and Learning of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Constructivist Views on the Teaching and Learning of Mathematics by : Robert Benjamin Davis

Download or read book Constructivist Views on the Teaching and Learning of Mathematics written by Robert Benjamin Davis and published by . This book was released on 1990 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructivist views on the teaching and learning of mathematics (Journal for research in mathematics education).

Math Makes Sense!: A Constructivist Approach To The Teaching And Learning Of Mathematics

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Publisher : World Scientific
ISBN 13 : 1783268662
Total Pages : 290 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Math Makes Sense!: A Constructivist Approach To The Teaching And Learning Of Mathematics by : Ana Helvia Quintero

Download or read book Math Makes Sense!: A Constructivist Approach To The Teaching And Learning Of Mathematics written by Ana Helvia Quintero and published by World Scientific. This book was released on 2016-03-02 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.

Radical Constructivism in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 0306472015
Total Pages : 264 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Radical Constructivism in Mathematics Education by : E. Glasersfeld

Download or read book Radical Constructivism in Mathematics Education written by E. Glasersfeld and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valéry The essays collected in this volume form a mosaik of theory, research, and practice directed at the task of spreading mathematical knowledge. They address questions raised by the recurrent observation that, all too frequently, the present ways and means of teaching mathematics generate in the student a lasting aversion against numbers, rather than an understanding of the useful and sometimes enchanting things one can do with them. Parents, teachers, and researchers in the field of education are well aware of this dismal situation, but their views about what causes the wide-spread failure and what steps should be taken to correct it have so far not come anywhere near a practicable consensus. The authors of the chapters in this book have all had extensive experience in teaching as well as in educational research. They approach the problems they have isolated from their own individual perspectives. Yet, they share both an overall goal and a specific fundamental conviction that characterized the efforts about which they write here. The common goal is to find a better way to teach mathematics. The common conviction is that knowledge cannot simply be transferred ready-made from parent to child or from teacher to student but has to be actively built up by each learner in his or her own mind.

Principles and Standards for School Mathematics

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Publisher :
ISBN 13 : 9780873534840
Total Pages : 20 pages
Book Rating : 4.5/5 (348 download)

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Book Synopsis Principles and Standards for School Mathematics by :

Download or read book Principles and Standards for School Mathematics written by and published by . This book was released on 2000 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.

Investigating Mathematics Teaching

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Publisher : Routledge
ISBN 13 : 1135716110
Total Pages : 254 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Investigating Mathematics Teaching by : Barbara Jaworski

Download or read book Investigating Mathematics Teaching written by Barbara Jaworski and published by Routledge. This book was released on 2002-11-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.

Social Constructivism as a Philosophy of Mathematics

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Publisher : SUNY Press
ISBN 13 : 9780791435878
Total Pages : 336 pages
Book Rating : 4.4/5 (358 download)

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Book Synopsis Social Constructivism as a Philosophy of Mathematics by : Paul Ernest

Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.

Beyond Constructivism

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Publisher : Routledge
ISBN 13 : 1317438523
Total Pages : 610 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Beyond Constructivism by : Richard A. Lesh

Download or read book Beyond Constructivism written by Richard A. Lesh and published by Routledge. This book was released on 2003-05-01 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging "models and modeling perspective" about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.

Views and Beliefs in Mathematics Education

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Publisher : Springer
ISBN 13 : 3030012735
Total Pages : 253 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Views and Beliefs in Mathematics Education by : Benjamin Rott

Download or read book Views and Beliefs in Mathematics Education written by Benjamin Rott and published by Springer. This book was released on 2018-12-14 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is made up of 21 chapters from 25 presentations at the 23rd MAVI conference in Essen, which featured Alan Schoenfeld as keynote speaker. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. The focus of the second section in this book deals with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. The third section of this book centers on the undercurrents of teaching and learning mathematics, what rises in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research. In this section, papers discuss attitudes towards assessment.

Constructivism and Education

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Publisher : Cambridge University Press
ISBN 13 : 9780521621359
Total Pages : 332 pages
Book Rating : 4.6/5 (213 download)

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Book Synopsis Constructivism and Education by : Marie Larochelle

Download or read book Constructivism and Education written by Marie Larochelle and published by Cambridge University Press. This book was released on 1998-08-13 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international collection dealing with the constructivist approach to education.

The Practice of Constructivism in Science Education

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Publisher : Routledge
ISBN 13 : 1136489746
Total Pages : 362 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis The Practice of Constructivism in Science Education by : Kenneth G. Tobin

Download or read book The Practice of Constructivism in Science Education written by Kenneth G. Tobin and published by Routledge. This book was released on 2012-11-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a needed elaboration of theories and potential applications of constructivism in science education. Although the term "constructivism" is used widely, there has been a dearth of materials to guide science educators concerning the potential of constructivism to influence what is done in the field. In fact, there has been a tendency for constructivism to be viewed as a method that can be used in a classroom. This view tends to diminish the power of constructivism as a way of thinking about education, and in particular, about science education. The chapters in this book address the need to document the theoretical roots of constructivism and to describe how practitioners have applied constructivist oriented beliefs in the practice of K-12 teaching of science and mathematics, as well as teacher education. Not only does this book contain different theoretical perspectives on constructivism, but it also features a chapter that critiques constructivism as an epistemology. Specific topics covered include: * cooperative learning, * the negotiation of meaning, * problem centered learning, * social construction of knowledge, * science in culturally diverse settings, * curriculum planning and implementation, and * instructional technology. Issues associated with the preparation and enhancement of science teachers and the reform of science education are also explored.

Learning Mathematics

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Publisher : Routledge
ISBN 13 : 1135698481
Total Pages : 280 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Learning Mathematics by : Prof Leone Burton

Download or read book Learning Mathematics written by Prof Leone Burton and published by Routledge. This book was released on 2012-10-12 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning Mathematics brings together a collection of interrelated and forward-looking chapters by internationally recognized experts that explores changes in the theories and practices of learning (and teaching) mathematics. The authors reject a traditional, transmission view of the teaching of mathematics which has proved so ineffective for learning. In its place they offer information gathered from research and from practice about effects on the learners seeking to create and negotiate meaning. Learners are presented as actively attempting to make sense of the mathematics they encounter, and learners, teachers and researchers are offered examples of ho such sense-making activities, incorporated into mathematics classrooms, impact on coming to know. The book celebrates both diversity, in the range of different perspectives, contributions and topics, and unity, in the linking chapters and themes, It will be fascinating reading for those mathematics educators who are eager to engage with a socio-cultural perspective in order to better understand the complexity of learning mathematics.

The Content of Science

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Publisher : Psychology Press
ISBN 13 : 9780750702218
Total Pages : 296 pages
Book Rating : 4.7/5 (22 download)

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Book Synopsis The Content of Science by : Peter J. Fensham

Download or read book The Content of Science written by Peter J. Fensham and published by Psychology Press. This book was released on 1994 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1994. Routledge is an imprint of Taylor & Francis, an informa company.

Cultural Perspectives on the Mathematics Classroom

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Publisher : Springer Science & Business Media
ISBN 13 : 9401711992
Total Pages : 212 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Cultural Perspectives on the Mathematics Classroom by : Steve Lerman

Download or read book Cultural Perspectives on the Mathematics Classroom written by Steve Lerman and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fundamental Constructs in Mathematics Education

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Publisher : Routledge
ISBN 13 : 1134338902
Total Pages : 356 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Fundamental Constructs in Mathematics Education by : Sue Johnston-Wilder

Download or read book Fundamental Constructs in Mathematics Education written by Sue Johnston-Wilder and published by Routledge. This book was released on 2004-01-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Constructs in Mathematics Education is a unique sourcebook crafted from classic texts, research papers and books in mathematics education. Linked together by the editors' narrative, the book provides a fascinating examination of, and insight into, key constructs in mathematics education and how they link together. The choice of constructs is based on (some of) the many constructs which have proved fruitful in research and which have informed choices made by teachers. The book is divided into two parts: learning and teaching. The first part includes views about how people learn - from Plato to Dewey, as well as constructivism, activity theory and French didactiques. The second part includes extracts concerned with initiating, sustaining and bringing to a conclusion learners' work on mathematical tasks. Fundamental Constructs in Mathematics Education provides access to a wide range of constructs in mathematics education and orients the reader towards important original sources.

Constructing Mathematical Knowledge

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Publisher : Routledge
ISBN 13 : 1135716188
Total Pages : 609 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Constructing Mathematical Knowledge by : Paul Ernest

Download or read book Constructing Mathematical Knowledge written by Paul Ernest and published by Routledge. This book was released on 2003-09-02 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a panorama of complimentary and forward looking perspectives on the learning of mathematics and epistemology from some of the leading contributors to the field. It explores constructivist and social theories of learning, and discusses the role of the computer in the light of these theories. It brings analyses from psychoanalysis, Hermeneutics and other perspectives to bear on the issues of mathematics and learning. It enquires into the nature of enquiry itself, and an important emergent theme is the role of language. Finally it relates the history of mathematics to its teaching and learning. The book both surveys current research and indicates orientations for fruitful work in the future.

Constructivism in Education

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Publisher : Routledge
ISBN 13 : 1136476083
Total Pages : 598 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis Constructivism in Education by : Leslie P. Steffe

Download or read book Constructivism in Education written by Leslie P. Steffe and published by Routledge. This book was released on 2012-10-12 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in offering a multidisciplinary perspective on key issues of alternative epistemologies in education, this collection includes contributions from scholars in family therapy, epistemology, and mathematics, science, and language education. These respected researchers were brought together to develop the theme of constructivism as it applies to many diversified fields. This book examines key distinctions of various constructivist epistemologies, comparing and contrasting the various paradigms. Each section provides both keynote positions on a particular alternative paradigm as well as critical comments by respondents regarding that position. Several chapters also present a synthesis of the alternative epistemological perspectives.

The Culture of the Mathematics Classroom

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Publisher : Cambridge University Press
ISBN 13 : 9780521571074
Total Pages : 276 pages
Book Rating : 4.5/5 (71 download)

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Book Synopsis The Culture of the Mathematics Classroom by : Falk Seeger

Download or read book The Culture of the Mathematics Classroom written by Falk Seeger and published by Cambridge University Press. This book was released on 1998-08-13 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The culture of the mathematics classroom is becoming an increasingly salient topic of discussion in mathematics education. Studying and changing what happens in the classroom allows researchers and educators to recognize the social character of mathematical pedagogy and the relationship between the classroom and culture at large. This volume is divided into three sections, reporting findings gained in both research and practice. The first part presents several attempts to change classroom culture by focusing on the education of mathematics teachers and on teacher-researcher collaboration. The second section shifts to the interactive processes of the mathematics classroom and to the communal nature of learning. The third section discusses the means of constructing, filtering, and establishing mathematical knowledge that are characteristic of classroom culture. This internationally relevant volume will be of particular interest to educators and educational researchers.