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ERIC Number: ED500910
Record Type: Non-Journal
Publication Date: 2003-Jul
Pages: 8
Abstractor: Author
Children's Conceptions of Infinity of Numbers in a Fifth Grade Classroom Discussion Context
Boero, Paolo; Douek, Nadia; Garuti, Rossella
International Group for the Psychology of Mathematics Education, Paper presented at the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, HI, Jul 13-18, 2003), v2 p121-128
"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. [For complete proceedings, see ED500859.]
International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail:; Web site:
Publication Type: Reports - Evaluative; Speeches/Meeting Papers
Education Level: Elementary Education; Grade 5
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A