Literaturnachweis - Detailanzeige
Autor/inn/en | Mejia-Ramos, Juan Pablo; Inglis, Matthew |
---|---|
Titel | Semantic Contamination and Mathematical Proof: Can a Non-Proof Prove? |
Quelle | In: Journal of Mathematical Behavior, 30 (2011) 1, S.19-29 (11 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0732-3123 |
DOI | 10.1016/j.jmathb.2010.11.005 |
Schlagwörter | Validity; Mathematical Logic; Mathematics; Mathematics Instruction; Mathematics Education; Evaluation; Experiments; Mathematical Concepts; Natural Language Processing |
Abstract | The way words are used in natural language can influence how the same words are understood by students in formal educational contexts. Here we argue that this so-called semantic contamination effect plays a role in determining how students engage with mathematical proof, a fundamental aspect of learning mathematics. Analyses of responses to argument evaluation tasks suggest that students may hold two different and contradictory conceptions of proof: one related to conviction, and one to validity. We demonstrate that these two conceptions can be preferentially elicited by making apparently irrelevant linguistic changes to task instructions. After analyzing the occurrence of "proof" and "prove" in natural language, we report two experiments that suggest that the noun form privileges evaluations related to validity, and that the verb form privileges evaluations related to conviction. In short, we show that (what is judged to be) a non-proof can sometimes (be judged to) prove. (Contains 2 figures and 5 tables.) (As Provided). |
Anmerkungen | Elsevier. 6277 Sea Harbor Drive, Orlando, FL 32887-4800. Tel: 877-839-7126; Tel: 407-345-4020; Fax: 407-363-1354; e-mail: usjcs@elsevier.com; Web site: http://www.elsevier.com |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |