Literaturnachweis - Detailanzeige
| Autor/in | Turgut, Melih |
|---|---|
| Titel | Sense-Making Regarding Matrix Representation of Geometric Transformations in R[superscript 2]: A Semiotic Mediation Perspective in a Dynamic Geometry Environment |
| Quelle | In: ZDM: The International Journal on Mathematics Education, 51 (2019) 7, S.1199-1214 (16 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Zusatzinformation | ORCID (Turgut, Melih) |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 1863-9690 |
| DOI | 10.1007/s11858-019-01032-0 |
| Schlagwörter | Algebra; Semiotics; Advanced Courses; Geometric Concepts; Undergraduate Students; Mathematics Instruction; Computer Assisted Instruction; Computer Software; Abstract Reasoning; Teaching Methods; Learning Processes; Task Analysis; Video Technology |
| Abstract | The aim of this research is to analyse students' sense-making regarding matrix representation of geometric transformations in a dynamic geometry environment (DGE) within the perspective of semiotic mediation. In particular, the focus is on students' reasoning on the transition from the notion of function to transformation and to matrix representation of geometric transformations in R[superscript 2]. Along these lines, the theory of semiotic mediation is referred to as a theoretical framework in both the design of a teaching and learning environment and the emergence of mathematical thinking. Epistemological analysis was employed to elaborate the semiotic potential of the DGE and, thereafter, two specific tasks were considered. Task-based interviews were conducted with a pair of undergraduate linear algebra students, with the students working in front of a computer installed with a specific DGE: GeoGebra. The data sources are video-recorded interviews, screen recorder software, field notes and the students' production analysed through a semiotic lens. According to the results, the dragging tool evokes a sense of understanding of covariation and independent/dependent variables. In addition, the simultaneous use of the dragging tool and grid function evokes a sense of the geometric transformation and the notion of matrix representation of geometric transformations, while the ApplyMatrix construction command plays a key role in linking the notions of function, transformation and matrix transformation. (As Provided). |
| Anmerkungen | 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/ |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2020/1/01 |
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