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Autor/inPielsticker, Felicitas
TitelConcept Formation Processes Regarding Height and Base in Triangles
QuelleIn: International Electronic Journal of Mathematics Education, 16 (2021) 2, (10 Seiten)Infoseite zur Zeitschrift
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ZusatzinformationORCID (Pielsticker, Felicitas)
Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN1306-3030
SchlagwörterConcept Formation; Geometry; Geometric Concepts; Computation; Computer Peripherals; Printing; Mathematics Instruction; Teaching Methods; Hypothesis Testing; Transfer of Training; Freehand Drawing
AbstractThe paper addresses concept formation processes of a student in the field of geometry. More precisely, the paper deals with the question of how to assist a student in a mathematical concept formation process -- in the context of area calculations in triangles -- with a specially designed learning environment based on the usage of 3D printed objects. Methodologically, we use the descriptive framework of the concept of Domains of Subjective Experience for the analysis of our case study. The objective is to describe the use of a learning environment to initiate targeted, theoretical concepts with a student. The student develops an empirical notion of bases and heights in triangles (with respect to the calculation of surface areas), using 2Ddrawings and 3Dprinted objects. In this article we argue, teaching mathematics consistently in an object-oriented and practical (visual) way, and additionally promoting the development of concept formation as a mathematical activity, brings a student in a situation where he develops hypotheses, tries them out, and transfers them to other fields of application; thus engages in concept formation processes. (As Provided).
AnmerkungenInternational Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2024/1/01
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