The Relationship between Proof and Certainty in Mathematical Practice

Autor/inn/en	Weber, Keith; Mejía-Ramos, Juan Pablo; Volpe, Tyler
Titel	The Relationship between Proof and Certainty in Mathematical Practice
Quelle	In: Journal for Research in Mathematics Education, 53 (2022) 1, S.65-84 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0021-8251
Schlagwörter	Mathematical Logic; Evidence; Credibility; Doctoral Students; Advanced Students; Equations (Mathematics); Evaluative Thinking; Mathematics Skills + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Evidenz; Glaubwürdigkeit; Doctoral studies; Doctorate studies; Student; Students; Doctoral candidate; Doktorandenprogramm; Schüler; Schülerin; Studentin; Doktorand; Doktorandin; Fortgeschrittener; Equations; Mathematics; Gleichungslehre; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz
Abstract	Many mathematics educators believe a goal of instruction is for students to obtain conviction and certainty in mathematical statements using the same types of evidence that mathematicians do. However, few empirical studies have examined how mathematicians use proofs to obtain conviction and certainty. We report on a study in which 16 advanced mathematics doctoral students were given a task-based interview in which they were presented with various sources of evidence in support of a specific mathematical claim and were asked how convinced they were that the claim was true after reviewing this evidence. In particular, we explore why our participants retained doubts about our claim after reading its proof and how they used empirical evidence to reduce those doubts. (As Provided).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: publicationsdept@nctm.org; Web site: https://pubs.nctm.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01