Transformation - A Fundamental Idea of Mathematics Education

Inbunden, Engelska, 2013

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2013-12-13
Mått:155 x 235 x 28 mm
Vikt:784 g
Format:Inbunden
Språk:Engelska
Antal sidor:409
Upplaga:2014
Förlag:Springer-Verlag New York Inc.
ISBN:9781461434887

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Innehållsförteckning

Introduction to Part I.- How 18th Century Mathematics was Transformed into 19th Century School Curricula.- A Framework for Examining the Transformation of Mathematics and Mathematics Learning in the Transition from School to University: An Analysis of German Textbooks from Upper Secondary School and the First Semester.- Knowledge Transformation between Secondary School and University Mathematics.- Student Transition to University Mathematics Education: Transformations of People, Tools and Practices.- Overcoming the Gap between University and School Mathematics: The Impact of an Innovative Programme in Mathematics Teacher Education at the Justus-Liebig-University in Giessen.- Mathematical Moments in a Human Life: Narratives on Transformation.- Transitions in Learning Mathematics as a Challenge for People and Institutions.- Introduction to Part II.- Constructing Knowledge by Transformation: Diagrammatic Reasoning in Practice.- Transforming Images in a DGS: The Semiotic Potential of the Dragging Tool for Introducing the Notion of Conditional Statement.- Dynamic Representations of Complex Numbers: Opportunities to Learn in Teacher Training.- Dynamic and Tangible Representations in Mathematics Education.- The Role of Social Aspects of Teaching and Learning in Transforming Mathematical Activity: Tools, Tasks, Individuals and Learning Communities.- Designing a Simulator in Building Trades to Transform Vocational Education.- Discussion I from an Epistemological Point of View: Representing and Meaning-making: The Transformation of Transformation.- Discussion II from a Technological Point of View: Digital Technologies and Transformation in Mathematics Education.- Introduction to Part III.- From Proof Image to Formal Proof – a Transformation.- Elementary Stochastic Seeing in Primary Mathematics Classrooms – Epistemological Foundation and Empirical Evaluation of a Theoretical Construct.- Understanding Geometric Work through its Development and its Transformations.-Small Steps to Promote “Mathematical Literacy”.- Transformation as a Fundamental Concept in Arithmetical Competence Modelling: An Example of Informatical Educational Science.- Fundamental Ideas of Didactics – Reactions to the Suggested Meta-Theoretical Construct for Reflecting and Connecting Theories.- Epilogue.