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ERIC Number: EJ796781
Record Type: Journal
Publication Date: 2007
Pages: 16
Abstractor: Author
Reference Count: 0
ISSN: ISSN-0732-3123
Abduction-Induction (Generalization) Processes of Elementary Majors on Figural Patterns in Algebra
Rivera, F. D.; Becker, Joanne Rossi
Journal of Mathematical Behavior, v26 n2 p140-155 2007
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.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Elementary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A