Transformation - A Fundamental Idea of Mathematics Education
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Beschreibung
This book opens up a discussion on fundamental ideas of mathematics education as a means to focus on the overarching core issues and to reflect upon the identity of the scientific discipline. The concept of transformation is introduced as one fundamental idea in the discipline and examined from different perspectives. Transformations are related to knowledge, to signs and representations of mathematics, to concepts and ideas central to teaching and learning mathematics, and to instruments for the learning of mathematics.With an international pool of authors, this book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?The book is meant for researchers, teacher educators and curriculum designers in the field of Mathematics Education. It is destined to occupy an important place in current literature on the topic of transformation as a way of uncovering and explaining mathematical practice and the very essence of mathematics as well as a way of creating and maintaining semantic networks between different content areas.
The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?
The principle of Transformation is used to shape discussions of mathematics theory Discontinuity in mathematics education is addressed and real world examples given to solve this problem Teaching and learning geometry provides a context for understanding transformation in mathematics education
Autor*in
Sebastian Rezat
Themen in »Transformation - A Fundamental Idea of Mathematics Education«
Cognitive and Epistemological Perspectives on Geometry Diagrammatic Reasoning Discontinuity in Mathematics Education Human Perception of mathematics Integrating Artifacts in Mathematics Teaching and Learning Mathematical Literacy Transformation of Knowledge in Mathematics Education Vygotsky and Semiotic Mediation