Transformation - A Fundamental Idea of Mathematics Education
(Sprache: Englisch)
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...
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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?
Inhaltsverzeichnis zu „Transformation - A Fundamental Idea of Mathematics Education “
ContentsIntroduction
Sebastian Rezat, Mathias Hattermann
Part I
Introduction to Part I
Sebastian Rezat, Mathias Hattermann
1 How 18th Century Mathematics was Transformed into 19th Century School Curricula
Heike Renate Biermann, Hans Niels Jahnke
2 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
Maike Vollstedt, Aiso Heinze, Kristin Gojdka and Stefanie Rach
3 Knowledge Transformation between Secondary School and University Mathematics
Oliver Deiser, Kristina Reiss
4 Student Transition to University Mathematics Education: Transformations of People, Tools and Practices
Birgit Pepin
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
Gabriele Kaiser, Nils Buchholtz
6 Mathematical Moments in a Human Life: Narratives on Transformation
Barbro Grevholm
Discussion to Part I
Transitions in Learning Mathematics as a Challenge for People and Institutions
- Rolf Biehler
Part II
Introduction to Part II
Sebastian Rezat, Mathias Hattermann
7 Constructing Knowledge by Transformation: Diagrammatic Reasoning in Practice
Gert Kadunz
... mehr
8 Transforming Images in a DGS: The Semiotic Potential of the Dragging Tool for Introducing the Notion of Conditional Statement
Maria Alessandra Mariotti
9 Dynamic Representations of Complex Numbers: Opportunities to Learn in Teacher Training
Reinhard Hölzl
10 Dynamic and Tangible Representations in Mathematics Education
Colette Laborde, Jean-Marie Laborde
11 The Role of Social Aspects of Teaching and Learning in Transforming Mathematical Activity: Tools, Tasks, Individuals and Learning Communities
Vince Geiger
12 Designing a Simulator in Building Trades to Transform Vocational Education
Annie Bessot
Discussion to Part II
Discussion I from an Epistemological Point of View: Representing and Meaning-making: The Transformation of Transformation
Falk Seeger
Discussion II from a Technological Point of View: Digital Technologies and Transformation in Mathematics Education
Rosamund Sutherland
Part III
Introduction to Part III
Sebastian Rezat, Mathias Hattermann
13 From Proof Image to Formal Proof - a Transformation
Tommy Dreyfus, Ivy Kidron
14 Elementary Stochastic Seeing in Primary Mathematics Classrooms - Epistemological Foundation and Empirical Evaluation of a Theoretical Construct
Judith Stanja, Heinz Steinbring
15 Understanding Geometric Work through its Development and its Transformations
Alain Kuzniak
16 Small Steps to Promote "Mathematical Literacy"
Lothar Profke
17 Transformation as a Fundamental Concept in Arithmetical Competence Modelling: An Example of Informatical Educational Science
Josephus Klep
Discussion to Part III
Fundamental Ideas of Didactics - Reactions to the Suggested Meta-Theoretical Construct for Reflecting and Connecting Theories
Susanne Prediger
Epilogue
Rudolf Sträßer
Maria Alessandra Mariotti
9 Dynamic Representations of Complex Numbers: Opportunities to Learn in Teacher Training
Reinhard Hölzl
10 Dynamic and Tangible Representations in Mathematics Education
Colette Laborde, Jean-Marie Laborde
11 The Role of Social Aspects of Teaching and Learning in Transforming Mathematical Activity: Tools, Tasks, Individuals and Learning Communities
Vince Geiger
12 Designing a Simulator in Building Trades to Transform Vocational Education
Annie Bessot
Discussion to Part II
Discussion I from an Epistemological Point of View: Representing and Meaning-making: The Transformation of Transformation
Falk Seeger
Discussion II from a Technological Point of View: Digital Technologies and Transformation in Mathematics Education
Rosamund Sutherland
Part III
Introduction to Part III
Sebastian Rezat, Mathias Hattermann
13 From Proof Image to Formal Proof - a Transformation
Tommy Dreyfus, Ivy Kidron
14 Elementary Stochastic Seeing in Primary Mathematics Classrooms - Epistemological Foundation and Empirical Evaluation of a Theoretical Construct
Judith Stanja, Heinz Steinbring
15 Understanding Geometric Work through its Development and its Transformations
Alain Kuzniak
16 Small Steps to Promote "Mathematical Literacy"
Lothar Profke
17 Transformation as a Fundamental Concept in Arithmetical Competence Modelling: An Example of Informatical Educational Science
Josephus Klep
Discussion to Part III
Fundamental Ideas of Didactics - Reactions to the Suggested Meta-Theoretical Construct for Reflecting and Connecting Theories
Susanne Prediger
Epilogue
Rudolf Sträßer
... weniger
Autoren-Porträt
Prof. Dr. Andrea Peter-Koop lehrt und forscht am Institut für Didaktik der Mathematik an der Universität Bielefeld. Dort leitet sie die Beratungsstelle für Kinder mit Rechenstörungen. Ihre Forschungsinteressen betreffen die Prozesse des frühen Mathematiklernens, mathematische Diagnostik, die Prävention, Diagnose und Therapie von Kindern mit Rechenstörungen sowie Theorien der Lehrerbildung.
Bibliographische Angaben
- 2014, XXII, 409 Seiten, 26 farbige Abbildungen, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben: Sebastian Rezat, Mathias Hattermann, Andrea Peter-Koop
- Verlag: Springer, Berlin
- ISBN-10: 1461434882
- ISBN-13: 9781461434887
Sprache:
Englisch
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