Mathematics Education Library – serie
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118 produkter
Didactical Challenge of Symbolic Calculators
Turning a Computational Device into a Mathematical Instrument
Av Dominique Guin, Kenneth Ruthven m. fl.
Inbunden, 2004
1640 kr
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A significant driver of recent growth in the use of mathematics in the professions has been the support brought by new technologies. Not only has this facilitated the application of established methods of mathematical and statistical analysis but it has stimulated the development of innovative …
Meaning in Mathematics Education
Av Jeremy Kilpatrick, Celia Hoyles m. fl.
Inbunden, 2005
1095 kr
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This book is a product of the BACOMET group, a group of educators-mainly educators of prospective teachers of mathematics-who first came together in 1980 to engage in study, discussion, and mutual reflection on issues in mathematics education. BACOMET is an acronym for BAsic Components of …
Construction of New Mathematical Knowledge in Classroom Interaction
An Epistemological Perspective
Inbunden, 2005
1065 kr
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Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are …
Humans-with-Media and the Reorganization of Mathematical Thinking
Information and Communication Technologies, Modeling, Visualization and Experimentation
Av Marcelo C. Borba, Monica E. Villarreal
Inbunden, 2005
1095 kr
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As we enter into the 21"Century, the presence of technology, particularly techno-science, in everyday life is overwhelming. Institutions in the modem world are affected by this presence. Like Janus, the ancient Roman god whose double-faced head signified his knowledge of the present and the future, …
Exploring Probability in School
Challenges for Teaching and Learning
Inbunden, 2005
1640 kr
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Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a …
Humans-with-Media and the Reorganization of Mathematical Thinking
Information and Communication Technologies, Modeling, Visualization and Experimentation
Av Marcelo C. Borba, Monica E. Villarreal
Häftad, 2006
551 kr
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As we enter into the 21"Century, the presence of technology, particularly techno-science, in everyday life is overwhelming. Institutions in the modem world are affected by this presence. Like Janus, the ancient Roman god whose double-faced head signified his knowledge of the present and the future, …
Illusion of Linearity
From Analysis to Improvement
Av Dirk de Bock, Wim van Dooren m. fl.
Inbunden, 2007
1095 kr
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Linear or proportional relationships are a major topic in mathematics education. However, recent research has shown that secondary school students strongly tend to apply the linear model also in situations wherein it is not applicable. This overgeneralization of linearity is sometimes referred to …
Educational Algebra
A Theoretical and Empirical Approach
Av Eugenio Filloy, Teresa Rojano m. fl.
Inbunden, 2007
2401 kr
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Given its abstract nature and the highly syntactical competence required by the use of symbolic algebra, research on its teaching and learning must rely on approaches that include semiotic concepts and analyses that recall the history of algebraic ideas, among others. Educational Algebra: A …
Philosophical Dimensions in Mathematics Education
Av Karen Francois, Jean Paul Van Bendegem
Inbunden, 2007
1095 kr
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This book brings together diverse recent developments exploring philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics …
New Directions for Situated Cognition in Mathematics Education
Av Anne Watson, Peter Winbourne
Inbunden, 2008
1593 kr
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New Directions for Situated Cognition in Mathematics Education represents the maturation and expansion of the situated cognition theories applied to mathematics education. All of the situations on which the chapters of this book are based exemplify activity which would be described as mathematical, …
Language of Mathematics
Telling Mathematical Tales
Av Bill Barton
Inbunden, 2007
1095 kr
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Abstract: An outline of the structure of the book is presented, making the argument that the language we use for everyday mathematical ideas presents us with valuable evidence and insights into the nature of mathematics. Keywords: mathematical discourse, nature of mathematics I begin the book by …
Opening the Research Text
Critical Insights and In(ter)ventions into Mathematics Education
Av Elizabeth de Freitas, Kathleen Nolan
Inbunden, 2007
1095 kr
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In this chapter we interrogate the debate between mathematicians and mathematics educators. This debate is widely recognized in the United States, for instance, where the term ‘math wars’ is often used in reference to the heated disagreements between mathematicians and mathematics edu- tors. Such …
Language of Mathematics
Telling Mathematical Tales
Av Bill Barton
Häftad, 2009
551 kr
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Abstract: An outline of the structure of the book is presented, making the argument that the language we use for everyday mathematical ideas presents us with valuable evidence and insights into the nature of mathematics. Keywords: mathematical discourse, nature of mathematics I begin the book by …
Radical Constructivism in Mathematics Education
Inbunden, 1991
1643 kr
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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 …
Mathematical Enculturation
A Cultural Perspective on Mathematics Education
Av Alan Bishop
Häftad, 1991
1862 kr
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Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But …
Fractions in Realistic Mathematics Education
A Paradigm of Developmental Research
Inbunden, 1991
2189 kr
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Revisiting Mathematics Education
China Lectures
Inbunden, 1991
1643 kr
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This book is a product of love and respect. If that sounds rather odd I initially apologise, but let me explain why I use those words. The original manuscript was of course Freudenthal’s, but his colleagues have carried the project through to its conclusion with love for the man, and his ideas, and …
Mathematical Knowledge: Its Growth Through Teaching
Av Alan Bishop, Stieg Mellin-Olsen m. fl.
Inbunden, 1991
1753 kr
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In the first BACOMET volume different perspectives on issues concerning teacher education in mathematics were presented (B. Christiansen, A. G. Howson and M. Otte, Perspectives on Mathematics Education, Reidel, Dordrecht, 1986). Underlying all of them was the fundamental problem area of the …
Advanced Mathematical Thinking
Av David Tall
Inbunden, 1991
2516 kr
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Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be …
Chance Encounters: Probability in Education
Inbunden, 1991
2339 kr
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This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, …
Didactics of Mathematics as a Scientific Discipline
Av Rolf Biehler, Roland W. Scholz m. fl.
Inbunden, 1993
2189 kr
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Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines …
Advanced Mathematical Thinking
Av David Tall
Häftad, 1994
3062 kr
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Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be …
Cultural Perspectives on the Mathematics Classroom
Av Steve Lerman
Inbunden, 1994
1098 kr
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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 …
Towards a Philosophy of Critical Mathematics Education
Inbunden, 1994
2189 kr
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In Nineteen Eighty-Four George Orwell gives a description of different forms of suppression. We learn about the telescreens placed everywhere, through which it is possible for Big-Brother to watch the inhabitants of Oceania. However, it is not only important to control the activities of the …
Mathematics for Tomorrow’s Young Children
Av C.S. Mansfield, N.A. Pateman m. fl.
Inbunden, 1996
1643 kr
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Social constructivism is just one view of learning that places emphasis on the social aspects of learning. Other theoretical positions, such as activity theory, also emphasise the importance of social interactions. Along with social constructivism, Vygotsky's writings on children's learning have …
Windows on Mathematical Meanings
Learning Cultures and Computers
Inbunden, 1996
1643 kr
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Why are mathematical ideas so hard? Is mathematics an unassailable peak, which only the few can ever hope to conquer? Or can mathematics be broadened to be accessible to the many? Noss and Hoyles have written a book to challenge some of the conventional wisdoms on the learning of mathematics. They …
Windows on Mathematical Meanings
Learning Cultures and Computers
Häftad, 1996
1643 kr
Lägg i varukorg
Why are mathematical ideas so hard? Is mathematics an unassailable peak, which only the few can ever hope to conquer? Or can mathematics be broadened to be accessible to the many? Noss and Hoyles have written a book which challenges some of the conventional wisdoms on the learning of mathematics. …
Approaches to Algebra
Perspectives for Research and Teaching
Av N. Bednarz, C. Kieran m. fl.
Inbunden, 1996
3280 kr
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In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain …
Approaches to Algebra
Perspectives for Research and Teaching
Av N. Bednarz, C. Kieran m. fl.
Häftad, 1996
3280 kr
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In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain …
Theory of Didactical Situations in Mathematics
Didactique des Mathématiques, 1970–1990
Inbunden, 1997
2189 kr
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On the occasion of the celebration of “Twenty Years of Didactique of Ma- ematics” in France, Jeremy Kilpatrick commented that though the works of Guy Brousseau are known through texts referring to them or mentioning their existence, the original texts are unknown, or known only with difficulty, in …