Flexibly Applying the Distributive Law--Students' Individual Ways of Perceiving the Distributive Property

Autor/in	Schueler-Meyer, Alexander
Titel	Flexibly Applying the Distributive Law--Students' Individual Ways of Perceiving the Distributive Property
Quelle	In: EURASIA Journal of Mathematics, Science & Technology Education, 12 (2016) 10, S.2719-2732 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1305-8223
Schlagwörter	Algebra; Qualitative Research; Problem Solving; Cognitive Style; Transformations (Mathematics); Demonstrations (Educational); Content Analysis; Learning Strategies; Task Analysis; Grade 8; Interviews; Intervention; Learning Processes + Suchen Sie Ihr Suchwort? Qualitative Forschung; Problemlösen; Cognitive styles; Kognitiver Stil; Transformationstheorie; Demonstrationsexperiment; Demonstrationsmodell; Demonstrationsunterricht; Inhaltsanalyse; Learning methode; Learning techniques; Lernmethode; Lernstrategie; Aufgabenanalyse; School year 08; 8. Schuljahr; Schuljahr 08; Interviewing; Interviewtechnik; Learning process; Lernprozess
Abstract	Flexibility in transforming algebraic expressions is recognized as fundamental for a rich procedural knowledge. Here, flexibility in-depth is proposed as the ability to apply one strategy to a wide range of unfamiliar expressions. In this study, design experiments with four groups of students were conducted to support students' flexibility in-depth in regard to the application of the distributive law with the help of worked examples. The data from these experiments was analyzed qualitatively with the method of content analysis. Students' flexibility in-depth translates into their abilities to reconstruct the distributive property within an expression via its perceived relevant structural features. The students' use individual cornerstones for this reconstruction, for example worked examples or certain focal points in an expression like the multiplication sign. Transforming expressions and especially applying formulas to algebraic expressions is thus an interpretative and reconstructive process. (As Provided).
Anmerkungen	EURASIA. Gazi Egitim Fakultesi, K Blok 210, Teknikokullar, Ankara, 06500 Turkey. Tel: +90-312-202-8192; Fax: +90-312-222-8483; e-mail: editor.eurasiajournal@gmail.com; Web site: http://www.ejmste.com
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01