Transformation - A Fundamental Idea of Mathematics Education
Springer-Verlag New York Inc.
978-1-4614-3488-7 (ISBN)
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.
Zusatzinfo | 26 Illustrations, color; 86 Illustrations, black and white; XXII, 409 p. 112 illus., 26 illus. in color. |
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Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik |
Sozialwissenschaften ► Pädagogik ► Allgemeines / Lexika | |
Sozialwissenschaften ► Pädagogik ► Bildungstheorie | |
Sozialwissenschaften ► Pädagogik ► Schulpädagogik / Grundschule | |
Schlagworte | 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 |
ISBN-10 | 1-4614-3488-2 / 1461434882 |
ISBN-13 | 978-1-4614-3488-7 / 9781461434887 |
Zustand | Neuware |
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