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001 978-1-4614-3489-4
003 DE-He213
005 20140220082457.0
007 cr nn 008mamaa
008 131212s2014 xxu| s |||| 0|eng d
020 _a9781461434894
_9978-1-4614-3489-4
024 7 _a10.1007/978-1-4614-3489-4
_2doi
050 4 _aLC8-6691
072 7 _aJNU
_2bicssc
072 7 _aPB
_2bicssc
072 7 _aEDU029010
_2bisacsh
082 0 4 _a370
_223
100 1 _aRezat, Sebastian.
_eeditor.
245 1 0 _aTransformation - A Fundamental Idea of Mathematics Education
_h[electronic resource] /
_cedited by Sebastian Rezat, Mathias Hattermann, Andrea Peter-Koop.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2014.
300 _aXXII, 409 p. 112 illus., 30 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction 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.
520 _aThis 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. 
650 0 _aEducation.
650 0 _aMathematics.
650 0 _aEducation
_xPhilosophy.
650 1 4 _aEducation.
650 2 4 _aMathematics Education.
650 2 4 _aEducational Philosophy.
700 1 _aHattermann, Mathias.
_eeditor.
700 1 _aPeter-Koop, Andrea.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461434887
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-3489-4
912 _aZDB-2-SHU
999 _c91954
_d91954