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 -