Exploring Students' Thinking Process in Mathematical Proof of Abstract Algebra Based on Mason's Framework

Autor/inn/en	Faizah, Siti; Nusantara, Toto; Sudirman, Sudirman; Rahardi, Rustanto
Titel	Exploring Students' Thinking Process in Mathematical Proof of Abstract Algebra Based on Mason's Framework
Quelle	8 (2020) 2, S.871-884 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Zusatzinformation	ORCID (Faizah, Siti) ORCID (Nusantara, Toto) ORCID (Sudirman, Sudirman) ORCID (Rahardi, Rustanto)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2149-360X
Schlagwörter	Mathematical Logic; Validity; Algebra; Cognitive Processes; Mathematics Instruction; Foreign Countries; College Students; College Mathematics; Intuition; Indonesia + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Gültigkeit; Cognitive process; Kognitiver Prozess; Mathematics lessons; Mathematikunterricht; Ausland; Collegestudent; Indonesien
Abstract	Mathematical proof is a logically formed argument based on students' thinking process. A mathematical proof is a formal process which needs the ability of analytical thinking to solve. However, researchers still find students who complete the mathematical proof process through intuitive thinking. Students who have studied mathematical proof in the early semester should not have completed abstract algebraic proof intuitively. Therefore, the aim of this research is to explore students' thinking process in conducting mathematical proof based on Mason's framework. The instrument used to collect data was mathematical proof problems test related to abstract algebra and interviews. There are three out of 25 students who did abstract algebra through intuitive thinking as they only used two stages of the Mason's thinking framework. Then, two out of three students were chosen as the subjects of the study. The selection of research subjects is based on the student's ability to express intuitive thinking verbally process which were conducted while completing the test. It is found that students can form structural-intuitive warrant that they use to complete the mathematical proof of abstract algebra. Structural-intuitive warrant formed by students at the stage of attack and review are in the form of: institutional warrant and evaluative warrant, while at the entry and attack stage are a priori warrant and empirical warrant. (As Provided).
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01