Abstract
A theoretical discussion of possible connections between some non-conventional external
representations (i.e., textual tasks of a particular format) and their corresponding internal
representations (i.e., perceptions of these tasks by mathematics learners) is presented in this paper. Our goal is to analyze the interplay between external and internal representations in relation to nonconventional textual tasks of "who-is-right?" format. Such tasks involve a relatively long textual story introducing a situation that can be interpreted in (at least) two contradictory ways, which are explicitly given. The solvers of the task are required deciding which interpretation is correct and support their decision by an argument that would convince their peers. The presented theoretical analysis in terms of representations can serve as a tool for teachers and teacher educators in designing tasks specifically tailored to their students' needs.
representations (i.e., textual tasks of a particular format) and their corresponding internal
representations (i.e., perceptions of these tasks by mathematics learners) is presented in this paper. Our goal is to analyze the interplay between external and internal representations in relation to nonconventional textual tasks of "who-is-right?" format. Such tasks involve a relatively long textual story introducing a situation that can be interpreted in (at least) two contradictory ways, which are explicitly given. The solvers of the task are required deciding which interpretation is correct and support their decision by an argument that would convince their peers. The presented theoretical analysis in terms of representations can serve as a tool for teachers and teacher educators in designing tasks specifically tailored to their students' needs.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11) |
| Editors | Uffe Thomas Jankvist, Marja van den Heuvel-Panhuizen, Michiel Veldhuis |
| Place of Publication | the Netherlands |
| Pages | 4593-4600 |
| Number of pages | 8 |
| State | Published - 2019 |
| Event | The Eleventh Congress of the European Society for Research in Mathematics Education - Utrecht, Netherlands Duration: 6 Feb 2019 → 10 Feb 2019 Conference number: 11 |
Conference
| Conference | The Eleventh Congress of the European Society for Research in Mathematics Education |
|---|---|
| Country/Territory | Netherlands |
| City | Utrecht |
| Period | 6/02/19 → 10/02/19 |