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Rivera, F. D.; Becker, Joanne Rossi – Journal of Mathematical Behavior, 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…
Descriptors: Preservice Teacher Education, Majors (Students), Cues, Logical Thinking
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Fernandez, Eileen; Jones, Michael A. – Mathematics and Computer Education, 2006
"How can this Abstract Algebra course help me to teach Algebra in high school?" To professors of prospective mathematics teachers, this type of question has a resounding familiarity. Because students are unclear as to the relationship between upper division mathematics courses and the high school curriculum, answering the opening question to the…
Descriptors: Teaching Methods, Teaching (Occupation), High Schools, Secondary School Curriculum