TY - JOUR
T1 - Construction of the vector space concept from the viewpoint of APOS theory
AU - Parraguez, Marcela
AU - Oktaç, Asuman
N1 - Funding Information:
This study has been partially funded by Project Conacyt P60763H. ∗ Corresponding author. Address: CINVESTAV-IPN, Mexico.
PY - 2010/4/1
Y1 - 2010/4/1
N2 - We apply APOS theory to propose a possible way that students might follow in order to construct the vector space concept. We describe the mental mechanisms and constructions that might take place when students are learning this concept. We then report on a study that we performed with 10 undergraduate mathematics students through the application of a questionnaire and an interview. In this paper we focus on the coordination between the two operations that form part of the vector space structure and the relation of the vector space schema to other concepts such as linear independence and binary operations.
AB - We apply APOS theory to propose a possible way that students might follow in order to construct the vector space concept. We describe the mental mechanisms and constructions that might take place when students are learning this concept. We then report on a study that we performed with 10 undergraduate mathematics students through the application of a questionnaire and an interview. In this paper we focus on the coordination between the two operations that form part of the vector space structure and the relation of the vector space schema to other concepts such as linear independence and binary operations.
KW - APOS theory
KW - Linear algebra teaching and learning
KW - Mental constructions
KW - Vector space concept
UR - http://www.scopus.com/inward/record.url?scp=75749123503&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2009.06.034
DO - 10.1016/j.laa.2009.06.034
M3 - Article
AN - SCOPUS:75749123503
SN - 0024-3795
VL - 432
SP - 2112
EP - 2124
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 8
ER -