Connecting arguments to actions - dynamic geometry as means for the attainment of higher van hiele levels

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Thomas Gawlick

Externe Organisationen

  • Universität Koblenz-Landau
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)361-370
Seitenumfang10
FachzeitschriftZDM - International Journal on Mathematics Education
Jahrgang37
Ausgabenummer5
PublikationsstatusVeröffentlicht - 2005
Extern publiziertJa

Abstract

New technology requires as well as supports the necessity to raise the level of geometric thinking. Freudenthals view of van Hiele's theory corroborates a dynamic multi-level curriculum that offers material support for higher levels. For levels higher than 2, the dynamic locus capability of Dynamic Geometry software is crucial, e.g. in the study of loci of orthocentres and incentres. Discrepancies between their algebraic and geometric descriptions can motivate a deeper involvement with basic curve theory on the side of the teacher, who thereby can predict in which cases the students may succeed in restructuring the construction to overcome the discordance.

ASJC Scopus Sachgebiete

Zitieren

Connecting arguments to actions - dynamic geometry as means for the attainment of higher van hiele levels. / Gawlick, Thomas.
in: ZDM - International Journal on Mathematics Education, Jahrgang 37, Nr. 5, 2005, S. 361-370.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Gawlick, T 2005, 'Connecting arguments to actions - dynamic geometry as means for the attainment of higher van hiele levels', ZDM - International Journal on Mathematics Education, Jg. 37, Nr. 5, S. 361-370. https://doi.org/10.1007/s11858-005-0024-2
Gawlick T. Connecting arguments to actions - dynamic geometry as means for the attainment of higher van hiele levels. ZDM - International Journal on Mathematics Education. 2005;37(5):361-370. doi: 10.1007/s11858-005-0024-2
Gawlick, Thomas. / Connecting arguments to actions - dynamic geometry as means for the attainment of higher van hiele levels. in: ZDM - International Journal on Mathematics Education. 2005 ; Jahrgang 37, Nr. 5. S. 361-370.
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