Isbn: 9781461434887 - transformation - a fundamental idea of mathematics education (16 resultados)

Hardcover. Condición: Very Good. Hardcover, xxii + 409 pages, NOT ex-library. Book is clean and bright with unmarked text, free of inscriptions and stamps, firmly bound. Boards show gentle handling wear. Issued without a dust jacket. -- Contents: Part I Transformations at Transitions in Mathematics Education: 1 How 18th-Century Mathematics was Transformed into 19th-Century School Curricula [Double Discontinuity; Euler's Algebraic Analysis; Combinatorial Approach and Its Cultural Impact; Adaptical Conception of Algebraic Analysis; Algebraic Analysis as a "Complete Paradigm"; Decline of Algebra Analysis and the Meran Reform; Coexistence of Paradigms]; 2 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; 3 Knowledge Transformation between Secondary School and University Mathematics; 4 Student Transition to University Mathematics Education: Transformations of People, Tools and Practices; 5 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 [Theoretical Framework and Study Design of the TEDS-Telekom Study; Development of Cognitive Dispositions of Achievement; Development of Performance in Cognitive Domains; Learning Opportunities; First Results on the Evaluation of the Influence of Institutional Conditions; Conclusions and Further Prospects]; 6 Mathematical Moments in a Human Life: Narratives on Transformation; Discussion of Part I: Transitions in Learning Mathematics as a Challenge for People and Institutions; Part II Transformations Related to Representations of Mathematics: 7 Constructing Knowledge by Transformation: Diagrammatic Reasoning in Practice [Reading and Writing; Semiotics and Mathematics Education; Diagrams as Means for Thinking; the Text: Transforming Diagrams Into Diagrams]; 8 Transforming Images in a DGS: The Semiotic Potential of the Dragging Tool for Introducing the Notion of Conditional Statement [Theory of Semiotic Mediation; Transforming Figures in a DGS: Dragging and Invariants; Dragging to Produce a Conditional Statement; Teaching Experiment; Unfolding of the Semiotic Potential]; 9 Dynamic Representations of Complex Numbers: Opportunities to Learn in Teacher Training [High Hopes, Slow Pace; Course Contents; Course Arrangements and Opportunities to Learn; Dynamic Representations of Complex Numbers; Functional Relations; Impressions of Student's Work]; 10 Dynamic and Tangible Representations in Mathematics Education; 11 Role of Social Aspects of Teaching and Learning in Transforming Mathematical Activity: Tools, Tasks, Individuals and Learning Communities [Technological Tools in Mathematics Education; Sociocultural Perspective on Teaching and Learning with Technology; Episodes of Resource Use in Social Contexts; Peer-Based Interactions in Small-Group and Whole-Group Social Settings]; 12 Designing a Simulator in Building Trades to Transform Vocational Education; Discussion I of Part II: Representing and Meaning-Making: The Transformation of Transformation; Discussion II of Part II: Digital Technologies and Transformation in Mathematics Education; Part III Transformation Related to Concepts and Ideas: 13 From Proof Image to Formal Proof: A Transformation; 14 Elementary Stochastic Seeing in Primary Mathematics Classrooms: Epistemological Foundation and Empirical Evaluation of a Theoretical Construct; 15 Understanding Geometric Work through its Development and its Transformations; 16 Small Steps to Promote "Mathematical Literacy"; 17 Transformation as a Fundamental Concept in Arithmetical Competence Modelling: An Example of Informatical Educational Science; Discussion of Part III: Fundamental Ideas of Didactics: Reactions to the Suggested Meta-Theoretical Construct for Reflecting and Connecting Theories; Epilogue; Index.…

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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…

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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 432 pp. Englisch.…

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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 432 pp. Englisch.…