A Model for Analyzing the Explanatory Writing of Undergraduate Students When Solving Mathematical Tasks

Autor/inn/en	Albano, Giovannina; Swidan, Osama; Pierri, Anna
Titel	A Model for Analyzing the Explanatory Writing of Undergraduate Students When Solving Mathematical Tasks
Quelle	In: International Journal of Mathematical Education in Science and Technology, 54 (2023) 2, S.180-194 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Albano, Giovannina) ORCID (Swidan, Osama) ORCID (Pierri, Anna)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2021.1949757
Schlagwörter	Undergraduate Students; Mathematics Skills; Communication (Thought Transfer); Problem Solving; Mathematical Concepts; Expository Writing; Algebra; Geometry; Mathematical Logic; Foreign Countries; Italy + Suchen Sie Ihr Suchwort? Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Communication; thought; Kommunikation; Gedanke; Problemlösen; Geometrie; Mathematical logics; Mathematische Logik; Ausland; Italien
Abstract	In light of the recent interest in mathematical competencies and the ways in which students communicate their ideas, this study aims to explore how undergraduate students communicate their ideas about mathematical tasks through written texts. Forty-three first-year undergraduate students participated in this study. They were given a graph of a function and tangent line and were asked to estimate the value of the derivative at the tangent point justifying their answer. We analyzed the justification of students to the given task by referring to the cooperative principle and to the Anthropological Theory of the Didactic. For the former, we employed the four Grice maxims: Quantity, Quality, Relation and Manner. For the latter, we employed the main components of praxeologies: the type of task, the technique needed to solve the task, the technology as knowledge needed to explain the technique, and a theory as basis to justify the technology. A model of the students' communication about mathematical ideas emerges and is described with reference to data analysis. The model sheds light on the relationship between the discourse of a student solving a mathematical task and how she performs the related problem-solving activity. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01