Literaturnachweis - Detailanzeige
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 |
Sprache | englisch |
Dokumenttyp | online; gedruckt; Zeitschriftenaufsatz |
ISSN | 1863-9690; 1863-9704 |
DOI | 10.1007/s11858-008-0105-0 |
Schlagwörter | Bildungsforschung; Pädagogische Forschung; Denken; Lehr-Lern-Prozess; Lernumgebung; Geometrie; Mathematikunterricht; 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 |