ERIC Number: EJ1234987
Record Type: Journal
Publication Date: 2019-Dec
Pages: 13
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1863-9690
EISSN: N/A
Some Aspects of Linear Independence Schemas
ZDM: The International Journal on Mathematics Education, v51 n7 p1169-1181 Dec 2019
In this study, I examined seven first-year linear algebra students' linear independence schemas. Data came from participants' interview responses to a set of nine questions. The analysis focused on the identification of concepts and connections pertaining to plans and activations. Overall, the findings revealed the existence of routinized plans, each containing one of six most frequently expressed connections. Moreover, I observed some participants activating these plans as "fixed plans," and other participants activating them as "ready-to-hand plans." Some activations were task specific. In short, I found participants' linear independence schemas to be populated by three main routinized plans, each with varying characteristics.
Descriptors: Algebra, Mathematics Instruction, Advanced Courses, Schemata (Cognition), Task Analysis, Student Attitudes
Springer. Available from: Springer Nature. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: CCLI0737485