Abstract
We offer a new representation of mathematics teaching – the Realization Tree Assessment (RTA)
tool – and exemplify how it may be productive for teachers' collaborative discussions on
explorative teaching. The RTA assists in explicating the mathematical object that is at the core of a
task together with its different realizations. It was originally used for assessment of lessons and
opportunities for explorative participation, where it enabled the examination of the extent in which
different realizations of the mathematical object were exposed and who authored the narratives
about the mathematical object (students or teacher). In this paper, we describe the affordances of
this tool as a representation of teaching which affords access to the mathematical aspects of
Explorative Pedagogical Discourse. We exemplify these affordances with a discussion of preservice teachers working in collaborative groups on RTA images.
tool – and exemplify how it may be productive for teachers' collaborative discussions on
explorative teaching. The RTA assists in explicating the mathematical object that is at the core of a
task together with its different realizations. It was originally used for assessment of lessons and
opportunities for explorative participation, where it enabled the examination of the extent in which
different realizations of the mathematical object were exposed and who authored the narratives
about the mathematical object (students or teacher). In this paper, we describe the affordances of
this tool as a representation of teaching which affords access to the mathematical aspects of
Explorative Pedagogical Discourse. We exemplify these affordances with a discussion of preservice teachers working in collaborative groups on RTA images.
| Original language | English |
|---|---|
| Title of host publication | ICMI study 25 Conference Proceedings – Teachers of mathematics working and learning in collaborative groups |
| Editors | Hilda Borko, Despina Potari |
| Pages | 708-715 |
| State | Published - 2020 |
| Externally published | Yes |
| Event | 25th ICMI Study Conference - University of Lisbon, Lisbon, Portugal Duration: 3 Feb 2020 → 7 Feb 2020 Conference number: 25 |
Conference
| Conference | 25th ICMI Study Conference |
|---|---|
| Country/Territory | Portugal |
| City | Lisbon |
| Period | 3/02/20 → 7/02/20 |
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