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ERIC Number: EJ938113
Record Type: Journal
Publication Date: 2011-Oct
Pages: 23
Abstractor: As Provided
Reference Count: 40
ISBN: N/A
ISSN: ISSN-1571-0068
Characterizing Thematized Derivative Schema by the Underlying Emergent Structures
Garcia, Mercedes; Llinares, Salvador; Sanchez-Matamoros, Gloria
International Journal of Science and Mathematics Education, v9 n5 p1023-1045 Oct 2011
This paper reports on different underlying structures of the derivative schema of three undergraduate students that were considered to be at the trans level of development of the derivative schema (action-process-object-schema). The derivative schema is characterized in terms of the students' ability to explicitly transfer the relationship between a function and its first derivative to the derivative function and the second derivative. This conscious shift of properties of derivatives is differently manifested by the students in the trans level of development of the derivative schema and can be considered evidence of the different characteristics of the thematization of derivative schema. From here we suggest that there are different underlying structures in the constructed schema due to the consciousness in which students use the relations between a function and its derivative.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A