کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
360735 | 1436044 | 2007 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Abduction–induction (generalization) processes of elementary majors on figural patterns in algebra
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: The Journal of Mathematical Behavior - Volume 26, Issue 2, 2007, Pages 140–155
Journal: The Journal of Mathematical Behavior - Volume 26, Issue 2, 2007, Pages 140–155
نویسندگان
F.D. Rivera, Joanne Rossi Becker,