000			04469nam a22004455i 4500
001			978-0-387-24270-5
003			DE-He213
005			20250710083931.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387242705 _a99780387242705
024	7		_a10.1007/b105055 _2doi
082	0	4	_a370 _223
100	1		_aHoffmann, Michael H.G. _eeditor.
245	1	0	_aActivity and Sign _h[recurso electrónico] : _bGrounding Mathematics Education / _cedited by Michael H.G. Hoffmann, Johannes Lenhard, Falk Seeger.
264		1	_aBoston, MA : _bSpringer US, _c2005.
300			_aVII, 389 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aGrounding Mathematics Education -- Sign Processes -- Agency and Creativity in the Semiotics of Learning Mathematics -- The Semiotic Approach to Mathematical Evidence and Generalization -- Signs as Means for Discoveries -- Diagrammatic Thinking -- Notes on a Semiotically Inspired Theory of Teaching and Learning -- Mathematics, Sign and Activity -- Sign Processes in the Mathematics Classroom -- Semiotic Mediation in the Primary School -- Do Mathematical Symbols Serve to Describe or Construct "Reality"? -- Metaphor and Metonymy in Processes of Semiosis in Mathematics Education -- On Practical and Theoretical Thinking and Other False Dichotomies in Mathematics Education -- The Semiotics of the Schema -- Mathematics Education as a Science -- Towards a Normal Science of Mathematics Education? -- The Study of the Didactical Conditions of School Learning in Mathematics -- The Formal, The Social and the Subjective -- Crossing Boundaries -- Reflective Learning -- Thinking and Knowing About Knowledge -- The Cognitive Unconscious -- History of Mathematics and Mathematics Education -- Hilbert, Weyl, and the Philosophy of Mathematics -- Mathematical Metaphors in Natorp's Neo-Kantian Epistemology and Philosophy of Science -- Newton's Program of Mathematizing Nature -- Did Hermann and Robert Graßmann Contribute to the Emergence of Formal Axiomatics? -- A Case Study in Generalisation -- Some German Contributions to Mathematics Research in Brazil -- Making Philosophy of Mathematics Relevant -- Data Structures and Virtual Worlds -- Variables, in Particular Random Variables -- Deduction, Perception, and Modeling -- Models of Data, Theoretical Models, and Ontology -- Some Sober Conceptions of Mathematical Truth -- Can There Be an Alternative Mathematics, Really? -- Coda -- An Interview with Michael Otte.
520			_aThe advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community's ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives, created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte's thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future. This volume provides new sources of knowledge based on Michael Otte's fundamental insight that understanding the problems of mathematics education - how to teach, how to learn, how to communicate, how to do, and how to represent mathematics - depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.
650		0	_aEDUCATION.
650		0	_aSCIENCE _xHISTORY.
650		0	_aMATHEMATICS.
650	1	4	_aEDUCATION.
650	2	4	_aMATHEMATICS EDUCATION.
650	2	4	_aPHILOSOPHY.
650	2	4	_aHISTORY OF SCIENCE.
700	1		_aLenhard, Johannes. _eeditor.
700	1		_aSeeger, Falk. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387242699
856	4	0	_uhttp://dx.doi.org/10.1007/b105055 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SHU
942			_2ddc _cER
999			_c56331 _d56331