%0 Conference Paper %1 arzarello2004imf %A Arzarello, Ferdinando %A Bussi, Maria G. Bartolini %A Robutti, Ornella %B Proceedings of the 28th International Conference of the International Group for the Psychology of Mathematics Education %D 2004 %K history infinity learning mathematics mythesis %P 89-96 %T Infinity as a Multi-Faceted Concept in History and in the Mathematics Classroom %U http://www.emis.ams.org/proceedings/PME28/RR/RR115_Robutti.pdf %V 4 %X This paper presents the conceptualisation of infinity as a multi-faceted concept, discussing two examples. The first is from history and illustrates the work of Euler, when using infinity in an algebraic context. The second sketches an activity in a school context, namely students who approach the definite integral with symbolic-graphic calculators. Analysing the similarities between the examples, the authors widen the embodied cognition approach to infinity, based on the so called Basic Metaphor of Infinity of Lakoff and Nùñez. In fact, they consider also the manipulation of symbols, the use of virtual and real artefacts (in one case, the algebraic machine, in the other, the calculator) and their interpretation as instruments.

@inproceedings{arzarello2004imf, abstract = {This paper presents the conceptualisation of infinity as a multi-faceted concept, discussing two examples. The first is from history and illustrates the work of Euler, when using infinity in an algebraic context. The second sketches an activity in a school context, namely students who approach the definite integral with symbolic-graphic calculators. Analysing the similarities between the examples, the authors widen the embodied cognition approach to infinity, based on the so called Basic Metaphor of Infinity of Lakoff and Nùñez. In fact, they consider also the manipulation of symbols, the use of virtual and real artefacts (in one case, the algebraic machine, in the other, the calculator) and their interpretation as instruments.}, added-at = {2008-05-30T01:15:48.000+0200}, author = {Arzarello, Ferdinando and Bussi, Maria G. Bartolini and Robutti, Ornella}, biburl = {https://www.bibsonomy.org/bibtex/2b0871f77e70747c41803a0f30047fe93/yish}, booktitle = {Proceedings of the 28th International Conference of the International Group for the Psychology of Mathematics Education}, interhash = {df64da1c5dafa04c4a086abbd878c39e}, intrahash = {b0871f77e70747c41803a0f30047fe93}, keywords = {history infinity learning mathematics mythesis}, pages = {89-96}, timestamp = {2008-05-30T01:15:48.000+0200}, title = {Infinity as a Multi-Faceted Concept in History and in the Mathematics Classroom}, url = {http://www.emis.ams.org/proceedings/PME28/RR/RR115_Robutti.pdf}, volume = 4, year = 2004 }