perspectives on practice and meaning in mathematics and science classrooms mathematics education library

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Perspectives On Practice And Meaning In Mathematics And Science Classrooms

Author : D. Clarke
ISBN : 9780306472282
Genre : Education
File Size : 88. 34 MB
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This is a variegated picture of science and mathematics classrooms that challenges a research tradition that converges on the truth. The reader is surrounded with different images of the classroom and will find his beliefs confirmed or challenged. The book is for educational researchers, research students, and practitioners with an interest in optimizing the effectiveness of classrooms as environments for learning.

The Construction Of New Mathematical Knowledge In Classroom Interaction

Author : Heinz Steinbring
ISBN : 9780387242538
Genre : Education
File Size : 28. 36 MB
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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 often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.

Meaning In Mathematics Education

Author : Jeremy Kilpatrick
ISBN : 9780387240404
Genre : Education
File Size : 37. 24 MB
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New Directions For Situated Cognition In Mathematics Education

Author : Anne Watson
ISBN : 9780387715773
Genre : Education
File Size : 43. 5 MB
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This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. No other books are available which take this view specifically in mathematics education. Thus it provides an up-to-date overview of developments and applications to which other researchers can refer and which will inspire future research.

Didactics Of Mathematics As A Scientific Discipline

Author : Rolf Biehler
ISBN : 9780306472046
Genre : Education
File Size : 80. 80 MB
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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 and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.

Teaching Mathematics In Multilingual Classrooms

Author : J.B. Adler
ISBN : 9780306472299
Genre : Education
File Size : 51. 31 MB
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The author captures three inter-related dilemmas that lie at the heart of teaching mathematics in multilingual classrooms: code-switching, mediation, and transparency. She provides a sharp analysis and strong theoretical grounding, pulling together research related to the relationship between language and mathematics, communicating mathematics, and mathematics in bi-/multilingual settings and offers a direct challenge to dominant research on communication in mathematics classrooms.

Beliefs A Hidden Variable In Mathematics Education

Author : G.C. Leder
ISBN : 9780306479588
Genre : Education
File Size : 31. 91 MB
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This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.

Philosophical Dimensions In Mathematics Education

Author : Karen Francois
ISBN : 9780387715759
Genre : Education
File Size : 77. 79 MB
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This book brings together diverse recent developments exploring the 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 education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

In Search Of A Pedagogy Of Conflict And Dialogue For Mathematics Education

Author : Renuka Vithal
ISBN : 9789401000864
Genre : Education
File Size : 24. 90 MB
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This book is of interest to mathematics educators, researchers in mathematics education, gender, social justice, equity and democracy in education; and practitioners/teachers interested in the use of project work in mathematics teaching and learning. The book builds theoretical ideas from a careful substantial description of practice, in the attempt to improve both theory and practice in mathematics education. It thus interrogates and develops theoretical research tools for mathematics education and provides ideas for practice in mathematics classrooms.

Mathematics Education And Subjectivity

Author : Tony Brown
ISBN : 9400717393
Genre : Education
File Size : 85. 67 MB
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This book is centrally concerned with how mathematics education is represented and how we understand mathematical teaching and learning with view to changing them. It considers teachers, students and researchers. It explores their mathematical thinking and the concepts that this thought produces. But also how these concepts acquire cultural layers that mediate our apprehension. The book examines some of the linguistic and socio-cultural filters that influence mathematical understanding. But above all it introduces some contemporary theories of human subjectivity, in which subjectivity is seen primarily as consequential to, rather than productive of, our attempts to represent or categorise the world in which we live. That is, our sense of who we are results from our attempts to see ourselves against the various versions of the world that we encounter. Such theories trouble the very notion of mathematical "concepts" as apprehended by "humans". And in foregrounding this concern with subjectivity the book considers mathematics rather differently to styles more familiar in many instances of mathematics education research. The book proposes that mathematics can provoke us to think differently about our world and as a result enable our transformative capacities. Such an orientation may disturb our understanding of what mathematics is, how it exists in an "objective" sense, insofar as mathematical objects can be derived from social filters being applied to the world, but also serve as filters on the world capable of producing new social entities.

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