understanding in mathematics social research and educational studies series

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Understanding In Mathematics

Author : Anna Sierpinska
ISBN : 0750703342
Genre : Education
File Size : 68. 6 MB
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This book discusses the act of understanding in mathematics. The first chapter, "Understanding and Meaning," inquires into the various senses and uses of the word "understanding" in ordinary language and discusses the notion of meaning and relations between understanding and meaning. The second chapter, "Components and Conditions of an Act of Understanding," is central to the book and discusses the act of understanding. Chapter 3, "Processes of Understanding," looks at whole processes of understanding, and the roles therein of explanations and validations, examples, previous knowledge, figurative speech, and activity, both practical and intellectual. The question of evaluation of understanding is dealt with in chapter 4, "Good Understanding." One of the problems raised is concerned with the relativity of any evaluation of understanding. Two important determinants of this relativity, namely the developmental stage of the understanding subject and the culture, are the objects of chapter 5, "Developmental and Cultural Constraints of Understanding." Contains 227 references. (MKR)

Wissenschaft Zwischen Qualitas Und Quantitas

Author : Erwin Neuenschwander
ISBN : 9783034879941
Genre : Science
File Size : 82. 23 MB
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Wissenschaft und insbesondere die Naturwissenschaften haben heute meist mit "Messen", das heisst mit der quantitativen Erfassung der Wirklichkeit zu tun. Das Eigentliche, die "Qualität" der Dinge, entzieht sich jedoch diesem technokratischen Zugriff. Die Position der Wissenschaft im Spannungsfeld zwischen den Polen Quantitas und Qualitas in Geschichte und Gegenwart auszuleuchten, ist das Anliegen der Beiträge dieses Bandes. Sie führen vor Augen, dass die Wissenschaftskonzeptionen des Altertums und des Mittelalters noch weitgehend qualitativ orientiert waren, und zeigen, wie diese in den verschiedenen Naturwissenschaften durch das neuzeitliche quantitativmessende Paradigma abgelöst wurden und welche Probleme es dabei zu bewältigen galt.

What Counts As Mathematics

Author : Gail E. FitzSimons
ISBN : 9780306476839
Genre : Education
File Size : 46. 57 MB
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This book presents an institutional study located at the intersection mathematics education and vocational education. Using the concept of technology as a unifying theme, it presents a critique of neoliberalist policies and their impact upon curriculum, teachers' work, and the apparent de-institutionalization of vocational education - with particular reference to mathematics education and the consequences for adult students as (potential) workers and citizens.

The First Sourcebook On Nordic Research In Mathematics Education

Author : Bharath Sriraman
ISBN : 9781617351006
Genre : Education
File Size : 38. 3 MB
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The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections coordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries.

Schulentwicklung Und Schuleffektivit T

Author : Linda Marie Bischof
ISBN : 9783658146283
Genre : Education
File Size : 76. 39 MB
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Linda Marie Bischof arbeitet die Diskussion über die Verknüpfung von Schuleffektivität und Schulentwicklung systematisch auf und analysiert bestehende Verknüpfungsansätze. Sie behandelt Herausforderungen, Probleme und Möglichkeiten theoretischer und empirischer Verknüpfung und thematisiert diese als Ausgangspunkt für weitere Ansätze. Basis der empirischen Verknüpfung ist das PISA-Schulpanel, welches das Design der PISA 2009-Studie um die Schulentwicklungsperspektive ergänzt. Die Autorin untersucht in längsschnittlichen Analysen die Wirkung von Reformmaßnahmen (individuelle Förderung, ganztägige Schulorganisation und Evaluation) auf die Entwicklung von Schulen. Als Schuleffektivitätskriterium zieht sie die Lesekompetenz und als Schulentwicklungskriterium das Schulklima heran.

Mathematics Education And Subjectivity

Author : Tony Brown
ISBN : 9400717393
Genre : Education
File Size : 83. 30 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.

Adults Mathematical Thinking And Emotions

Author : Jeff Evans
ISBN : 9781135701901
Genre : Education
File Size : 82. 71 MB
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The crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy: *differences among social groups, especially those related to gender and social class *the inseparability of cognition and emotion in mathematical activity *the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories *how adults' numerate thinking and performance must be understood in context. The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety.

Learning Discourse

Author : C. Kieran
ISBN : 1402010249
Genre : Education
File Size : 51. 36 MB
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The authors of this volume claim that mathematics can be usefully re-conceptualized as a special form of communication. As a result, the familiar discussion of mental schemes, misconceptions, and cognitive conflict is transformed into a consideration of activity, patterns of interaction, and communication failure. By equating thinking with communicating, the discursive approach also deconstructs the problematic dichotomy between "individual" and "social" research perspectives.

Research For Educational Change

Author : Jill Adler
ISBN : 9781317285403
Genre : Education
File Size : 56. 24 MB
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Research for Educational Change presents ways in which educational research can fulfil its commitments to educational practice. Focussing its discussion within the context of mathematics education, it argues that while research-generated insights can have beneficial effects on learning and teaching, the question of how these effects are to be generated and sustained is far from evident. The question of how to turn research into educational improvement is discussed here in the context of learning and teaching hindered by poverty and social injustice. In the first part of the book, four teams of researchers use different methodologies while analysing the same corpus of data, collected in a South African mathematics classroom. In the second part, each of these teams makes a specific proposal about what can be done and how so that its research-generated insights have a tangible, beneficial impact on what is happening in mathematical classrooms. Combining two discourses – that of researchers speaking to one another, and that of researchers communicating their insights to those responsible for educational practice – the book deals with the perenial question of communication between those who study educational processes and those who are directly responsible for teacher education, educational research and classroom practices. This book will be key reading for postgraduates, researchers and academics in education and particularly in the areas of mathematics education, education research, teacher education and classroom practice. It will also appeal to teacher educators, practitioners and undergraduate students interested in educational research.

Handbook Of Research On Mathematics Teaching And Learning

Author : Douglas Grouws
ISBN : 9781607528746
Genre : Mathematics
File Size : 50. 56 MB
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Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of wellestablished conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twentynine chapters are complete resources for both current and past work in that particular area.

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