@inproceedings{8b80aba00ff346ae8a20227c233eb973,
title = "The discourse mapping tree as a tool for analyzing the potential and implementation of linear algebra tasks",
abstract = "We introduce a tool for mapping tasks and their implementation based on the commognitive theory and realization trees. This tool, the Discourse Mapping Tree (DMT), first maps a priori the subdiscourses involved in solving a task, then, a posteriori the discussion of this task in a class. This affords examination of both the mathematical potential of tasks and of how an implementation takes up this potential. We exemplify the DMT on a lesson about linear transformations in a discussion-based linear algebra workshop. The tool highlighted the students{\textquoteright} and instructor{\textquoteright}s role in authoring links between subdiscourses. It also displayed that the instructor was more responsible for meta-level links, while the students made object-level links more readily and easily.",
author = "Wallach, {Miriam N.} and Einat Heyd-Metzuyanim and Ram Band",
note = "Publisher Copyright: {\textcopyright} 2023, Psychology of Mathematics Education (PME). All rights reserved.; 46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023 ; Conference date: 16-07-2022 Through 21-07-2022",
year = "2023",
language = "الإنجليزيّة",
isbn = "9789659311248",
series = "Proceedings of the International Group for the Psychology of Mathematics Education",
pages = "315--322",
editor = "Michal Ayalon and Boris Koichu and Roza Leikin and Laurie Rubel and Michal Tabach",
booktitle = "Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023",
}