Visual Templates in Pattern Generalization Activity

Autor/in	Rivera, F. D.
Titel	Visual Templates in Pattern Generalization Activity
Quelle	In: Educational Studies in Mathematics, 73 (2010) 3, S.297-328 (32 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-009-9222-0
Schlagwörter	Mathematical Concepts; Generalization; Interviews; Models; Grade 7; Grade 8; Experimental Teaching; Mathematical Models; Goodness of Fit + Suchen Sie Ihr Suchwort? Interviewing; Interviewtechnik; Analogiemodell; School year 07; 7. Schuljahr; Schuljahr 07; School year 08; 8. Schuljahr; Schuljahr 08; Experimentalunterricht; Experimentelle Pädagogik; Mathematical model; Mathematisches Modell
Abstract	In this research article, I present evidence of the existence of visual templates in pattern generalization activity. Such templates initially emerged from a 3-week design-driven classroom teaching experiment on pattern generalization involving linear figural patterns and were assessed for existence in a clinical interview that was conducted four and a half months after the teaching experiment using three tasks (one ambiguous, two well defined). Drawing on the clinical interviews conducted with 11 seventh- and eighth-grade students, I discuss how their visual templates have spawned at least six types of algebraic generalizations. A visual template model is also presented that illustrates the distributed and a dynamically embedded nature of pattern generalization involving the following factors: pattern goodness effect; knowledge/action effects; and the triad of stage-driven grouping, structural unit, and analogy. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10