Representations and Conceptions of Variables in Students' Early Understandings of Functions

Autor/inn/en	Moss, Diana L.; Boyce, Steven; Lamberg, Teruni
Titel	Representations and Conceptions of Variables in Students' Early Understandings of Functions
Quelle	In: International Electronic Journal of Mathematics Education, 15 (2020) 2, (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1306-3030
Schlagwörter	Elementary School Students; Grade 6; Elementary School Mathematics; Algebra; Symbols (Mathematics); Mathematical Concepts; Mathematical Formulas; Mathematical Models; Problem Solving; Graphs + Suchen Sie Ihr Suchwort? School year 06; 6. Schuljahr; Schuljahr 06; Elementare Mathematik; Schulmathematik; Mathematische Formel; Mathematical model; Mathematisches Modell; Problemlösen; Grafische Darstellung
Abstract	This study explored how students develop meaning of functions by building on their understanding of expressions and equations. A teaching experiment using design research was conducted in a sixth-grade classroom. The data was analyzed using a grounded theory approach to provide explanations about why events occurred within this teaching episode and what these events mean in terms of student learning of functions (Corbin & Strauss, 2014; Gravemeijer & Cobb, 2006). The findings revealed that understanding functions involved integrating their understanding of different meanings of variables such as "letters representing changing values" and "letters representing known values" to model the situation using an expression, and seeing linear relationships between the independent and dependent variable through graphing. This paper provides a learning progression for supporting early understandings of functions. We discuss implications for research on students' conceptions of variables and implications for fostering functional thinking. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01