The Emergence of Mathematical Meaning

Author: Paul Cobb
Publisher: Routledge
ISBN: 1136486100
Format: PDF, Mobi
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This book grew out of a five-year collaboration between groups of American and German mathematics educators. The central issue addressed accounting for the messiness and complexity of mathematics learning and teaching as it occurs in classroom situations. The individual chapters are based on the view that psychological and sociological perspectives each tell half of a good story. To unify these concepts requires a combined approach that takes individual students' mathematical activity seriously while simultaneously seeing their activity as necessarily socially situated. Throughout their collaboration, the chapter authors shared a single set of video recordings and transcripts made in an American elementary classroom where instruction was generally compatible with recent reform recommendations. As a consequence, the book is much more than a compendium of loosely related papers. The combined approach taken by the authors draws on interactionism and ethnomethodology. Thus, it constitutes an alternative to Vygotskian and Soviet activity theory approaches. The specific topics discussed in individual chapters include small group collaboration and learning, the teacher's practice and growth, and language, discourse, and argumentation in the mathematics classroom. This collaborative effort is valuable to educators and psychologists interested in situated cognition and the relation between sociocultural processes and individual psychological processes.

Ko Konstruktive Probleml segespr che im Mathematikunterricht

Author: Gyde Höck
Publisher: Waxmann Verlag
ISBN: 3830982674
Format: PDF, Docs
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Wie gelingt es Kindern im Grundschulalter, über Mathematisches miteinander zu kommunizieren und damit ein gemeinsames Verständnis über einen mathematischen Zusammenhang herzustellen? Dieser leitenden Forschungsfrage wurde im Rahmen der Studie 'Kollektives Problemlösen im Mathematikunterricht der Grundschule' nachgegangen. Welch vielfältige Formen ein mathematisches Gespräch zwischen Lernenden annehmen kann, wird anhand zahlreicher Beispiele verdeutlicht. Hierbei wird ein mehrperspektivischer Blick auf Lernprozesse gerichtet, die im Mathematikunterricht auf verschiedenen - nicht nur mathematischen - Ebenen entstehen können. Wie komplex sich ein ko-konstruktives Gespräch über einen mathematischen Inhalt gestaltet und welche Faktoren ein solches begünstigen bzw. behindern, zeigt sich in der Gegenüberstellung verschiedener Lerntandems in ihrer Zusammenarbeit über mehrere Unterrichtsbausteine hinweg. Gyde Höck studierte in den 1990er Jahren das Grundschullehramt in Gießen und unterrichtete nach dem Referendariat in Frankfurt a. M. an einer Grundschule. Im Jahr 2005 begann die Tätigkeit am Studienseminar GHRF Frankfurt a. M., die 2009 kombiniert werden konnte mit einer Abordnung an das IDMI der J.W. Goethe-Universität Frankfurt a. M. Hieraus entstand die eigene erziehungswissenschaftliche Forschungsarbeit mit dem Schwerpunkt Mathematik und Sprache. Aktuell verbindet Gyde Höck im beruflichen Alltag vielfältige Bildungsbereiche vom Unterrichten in der Primarstufe über Seminar- und Dozententätigkeiten bis hin zu Fortbildungen für ausgebildete Lehrerinnen und Lehrer.

Using the Mathematics Literature

Author: Kristine K. Fowler
Publisher: CRC Press
ISBN: 9780824750350
Format: PDF, ePub
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This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

Algebra in the early grades

Author: James J. Kaput
Publisher: Lawrence Erlbaum
ISBN:
Format: PDF, Kindle
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This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be "the initial topical choice for focused and coordinated research and development [in K-12 mathematics]." The book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: *The Nature of Early Algebra *Students' Capacity for Algebraic Thinking *Issues of Implementation: Taking Early Algebra to the Classrooms The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Gradesaims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.

Engaging young children in mathematics

Author: Douglas H. Clements
Publisher: Lawrence Erlbaum
ISBN:
Format: PDF, ePub, Mobi
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Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education. The main goal of the Conference was

Mathematics Education as a Research Domain A Search for Identity

Author: Anna Sierpinska
Publisher: Springer
ISBN: 9401151946
Format: PDF, Docs
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No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.

Mathematics Education and Language

Author: Tony Brown
Publisher: Springer Science & Business Media
ISBN: 9401007268
Format: PDF, ePub
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Contemporary thinking on philosophy and the social sciences has primarily focused on the centrality of language in understanding societies and individuals; important developments which have been under-utilised by researchers in mathematics education. In this revised and extended edition this book reaches out to contemporary work in these broader fields, adding new material on how progression in mathematical learning might be variously understood. A new concluding chapter considers how teachers experience the new demands they face.

Theories of Mathematical Learning

Author: Leslie P. Steffe
Publisher: Routledge
ISBN: 1136485546
Format: PDF, Mobi
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Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.