Abduction-Induction (Generalization) Processes of Elementary Majors on Figural Patterns in Algebra

Autor/inn/en	Rivera, F. D.; Becker, Joanne Rossi
Titel	Abduction-Induction (Generalization) Processes of Elementary Majors on Figural Patterns in Algebra
Quelle	In: Journal of Mathematical Behavior, 26 (2007) 2, S.140-155 (16 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0732-3123
DOI	10.1016/j.jmathb.2007.05.001
Schlagwörter	Preservice Teacher Education; Majors (Students); Cues; Logical Thinking; Generalization; Numbers; Algebra; Education Majors + Suchen Sie Ihr Suchwort? Lehramtsstudiengang; Lehrerausbildung; Stichwort; Zahlenraum
Abstract	The article deals with issues concerning the abductive-inductive reasoning of 42 preservice elementary majors on patterns that consist of figural and numerical cues. We discuss: ways in which the participants develop generalizations about classes of abstract objects; abductive processes they exhibit which support their induction leading to a generalization; ways they justify their generalizations in the abductive stage, and; the effects of figural and numerical cues in the manner they construct a plausible abductive generalization. Two types of abductions are explored, model-based and manipulative. A proposed abductive-inductive reasoning process for pattern sequences is presented and discussed in the concluding section. (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10