| Status | 已發表Published |
| Teaching graph translation of quadratic functions based on APOS theory: An experimental study | |
Jiang, C. L. ; Hu, L.
| |
| 2020 | |
| Source Publication | Contemporary Research and Practice in Mathematics Education: An Asian Perspective |
| Publication Place | Penang, Malaysia |
| Publisher | Universiti Sains Malaysia Press |
| Pages | 44-66 |
| Abstract | Graph translation of functions is an important but difficult topic in high school mathematics because it associates two basic facets of functions, i.e., conceptual understanding and representation. This study attempts to facilitate students’ understanding of graph translation of quadratic functions in a dynamic-geometry-software (DGS) supported environment. A quasi-experimental design was used in this research. This teaching experiment was carried out in two weeks including six lessons, four of which were used for teaching and two for pre- and post-tests. The experimental group with 23 students received an instruction based on Action-Process-Object-Schema (APOS) theory and Relationship-Mapping-Inversion (RMI) principle in a DGS supported environment. The control group with 22 students followed the traditional instruction without using any DGS. The comparison between students’ performance in the pre-test and post-test indicates that the experimental group outperformed the control group not only in items of point translations and quadratic functions, but also in items in an extended area including complex functions and circles. The experimental design can be extended to the teaching of graph transformation of trigonometrical functions as well as geometrical shapes in 2-D and 3-D coordinate systems. |
| Keyword | APOS theory Function Graph translation Multiple representations Relationship-Mapping-Inversion principle |
| URL | View the original |
| Language | 英語English |
| ISBN | 9789674614096 |
| The Source to Article | PB_Publication |
| PUB ID | 53542 |
| Document Type | Book chapter |
| Collection | Faculty of Education |
| Corresponding Author | Jiang, C. L. |
| Recommended Citation GB/T 7714 | Jiang, C. L.,Hu, L.. Teaching graph translation of quadratic functions based on APOS theory: An experimental study[M]. Contemporary Research and Practice in Mathematics Education: An Asian Perspective, Penang, Malaysia:Universiti Sains Malaysia Press, 2020, 44-66. |
| APA | Jiang, C. L.., & Hu, L. (2020). Teaching graph translation of quadratic functions based on APOS theory: An experimental study. Contemporary Research and Practice in Mathematics Education: An Asian Perspective, 44-66. |
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