Reasoning and proof in geometry: Effects of a learning environment based on heuristic worked-out examples.

Autor/inn/en	Reiss, Kristina Maria; Heinze, Aiso; Renkl, Alexander; Groß, Christian
Titel	Reasoning and proof in geometry: Effects of a learning environment based on heuristic worked-out examples.
Quelle	In: ZDM : mathematics education, 40 (2008) 3, S. 455-467 PDF als Volltext Link als defekt meldenVerfügbarkeit
Sprache	englisch
Dokumenttyp	online; gedruckt; Zeitschriftenaufsatz
ISSN	1863-9690; 1863-9704
DOI	10.1007/s11858-008-0105-0
Schlagwörter	Bildungsforschung; Pädagogische Forschung; Denken; Denken; Geometrie; Mathematikunterricht; Bildungsforschung; Beweis; Lehr-Lern-Prozess; Lernumgebung; Geometrie; Mathematikunterricht; Effektivität; Beweis; Beweisen; Effektivität
Abstract	We analyze heuristic worked-out examples as a tool for learning argumentation and proof. Their use in the mathematics classroom was motivated by findings on traditional worked-out examples, which turned out to be efficient for learning algorithmic problem solving. The basic idea of heuristic worked-out examples is that they encourage explorative processes and thus reflect explicitly different phases while performing a proof. We tested the hypotheses that teaching with heuristic examples is more effective than usual classroom instruction in an experimental classroom study with 243 grade 8 students. The results suggest that heuristic worked-out examples were more effective than the usual mathematics instruction. In particular, students with an insufficient understanding of proof were able to benefit from this learning environment.
Erfasst von	FIZ Karlsruhe - Leibniz-Institut für Informationsinfrastruktur
Update	2010/2