Trying to reach the limit: The role of algebra in mathematical reasoning
2006 (English)In: Proceedings of the 30th conference of the International group for the psychology of mathematics education, vol2 / [ed] J. Novotná, H. Moraová, M. Krátká and N. Stehlíková, Prag: The International Group for the Psychology of Mathematics Education , 2006, 153-160 p.Conference paper (Other academic)
In this paper the role of algebra in students- mathematical reasoning about limits of functions in undergraduate mathematics is analysed, considering the students- edu¬cational setting. Data from a video study where six students worked in pairs to solve problems on limits of functions, and an analysis of their calculus lectures, indicate that algebra is at the same time a key and a lock to reach the limit in these problems. This double effect is related to the mathematical organisation taught, as well as the students- sense of authority as internal or external.
Place, publisher, year, edition, pages
Prag: The International Group for the Psychology of Mathematics Education , 2006. 153-160 p.
, PME Conference Proceedings, ISSN 0771-100X
mathematics education, limits, algebra
IdentifiersURN: urn:nbn:se:liu:diva-36749ISI: 000281571200020Local ID: 32345OAI: oai:DiVA.org:liu-36749DiVA: diva2:257598
Conference of the International Group for the Psychology of Mathematics Education, 16 – 21 July, Prague, Czech Republic