%0 Conference Paper %1 Boero03 %A Boero, Paolo %A Douek, Nadia %A Garuti, Rossella %B Proceedings of the 27th PME Conference %C Honolulu, Hawaii %D 2003 %K classroom infinity learning mathematics mythesis numbers %P 121-128 %T Children's Conceptions Of Infinity Of Numbers In A Fifth Grade Classroom Discussion Context %U http://www.lettredelapreuve.it/PME/PME27/RR_boero.pdf %V 2 %X "How many are the numbers?", "How many numbers are there between 1 and 2?". These tasks were set in three fifth grade classes in an educational environment characterised by an alternation of classroom discussions orchestrated by the teacher and students' production of individual reports. They allowed us to analyse both the short term evolution of students’ conceptions about infinity of numbers through social interaction, and their relationships with the cultural environment. Moreover, during classroom discussions we observed an autonomous shift from the original tasks to a new question "Is it possible that an infinity of numbers exists?". A number of related naive epistemological positions (that seem to depend at least partly on the students’ cultural environment) were detected.

@inproceedings{Boero03, abstract = {"How many are the numbers?", "How many numbers are there between 1 and 2?". These tasks were set in three fifth grade classes in an educational environment characterised by an alternation of classroom discussions orchestrated by the teacher and students' production of individual reports. They allowed us to analyse both the short term evolution of students’ conceptions about infinity of numbers through social interaction, and their relationships with the cultural environment. Moreover, during classroom discussions we observed an autonomous shift from the original tasks to a new question "Is it possible that an infinity of numbers exists?". A number of related naive epistemological positions (that seem to depend at least partly on the students’ cultural environment) were detected.}, added-at = {2008-05-30T01:39:55.000+0200}, address = {Honolulu, Hawaii}, author = {Boero, Paolo and Douek, Nadia and Garuti, Rossella}, biburl = {https://www.bibsonomy.org/bibtex/20f698b8fcfeeb1204570f1832ef76628/yish}, booktitle = {Proceedings of the 27th PME Conference}, interhash = {921a1a118183bb1436b4d8c765c20449}, intrahash = {0f698b8fcfeeb1204570f1832ef76628}, keywords = {classroom infinity learning mathematics mythesis numbers}, pages = {121-128}, timestamp = {2008-05-30T01:39:55.000+0200}, title = {Children's Conceptions Of Infinity Of Numbers In A Fifth Grade Classroom Discussion Context}, url = {http://www.lettredelapreuve.it/PME/PME27/RR_boero.pdf}, volume = 2, year = 2003 }