ERIC Number: EJ987788
Record Type: Journal
Publication Date: 2012-Dec
Pages: 25
Abstractor: As Provided
Reference Count: 51
ISBN: N/A
ISSN: ISSN-1571-0068
Tool Use and the Development of the Function Concept: From Repeated Calculations to Functional Thinking
Doorman, Michiel; Drijvers, Paul; Gravemeijer, Koeno; Boon, Peter; Reed, Helen
International Journal of Science and Mathematics Education, v10 n6 p1243-1267 Dec 2012
The concept of function is a central but difficult topic in secondary school mathematics curricula, which encompasses a transition from an operational to a structural view. The question in this paper is how the use of computer tools may foster this transition. With domain-specific pedagogical knowledge on the learning of function as a point of departure and the notions of emergent modeling and instrumentation as design heuristics, a potentially rich technology-intensive learning arrangement for grade 8 students was designed and field-tested. The results suggest that the relationship between tool use and conceptual development benefits from preliminary activities, from tools offering representations that allow for progressively increasing levels of reasoning, and from intertwinement with paper-and-pencil work.
Descriptors: Secondary School Mathematics, Grade 8, Pedagogical Content Knowledge, Computation, Heuristics, Mathematics, Mathematics Curriculum, Computer Uses in Education, Mathematics Instruction, Mathematics Education
Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 8; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A

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