ERIC Number: EJ1227508
Record Type: Journal
Publication Date: 2018
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: EISSN-1306-3030
EISSN: N/A
How Do the Undergraduate Students Use an Example in Mathematical Proof Construction: A Study Based on Argumentation and Proving Activity
Laamena, Christina M.; Nusantara, Toto; Irawan, Edy Bambang; Muksar, Makbul
International Electronic Journal of Mathematics Education, v13 n3 p185-198 2018
Various studies have been conducted regarding the use of examples in a mathematical proof. This study aims to describe how the students use the example in the proof analyzed by argumentation and proving activity. Qualitative methods are used to explain the phenomena that arise in the use of examples on mathematical proof. The data collected is the result of student work, think aloud, field notes and interview results. The results show that the example is used as an exploratory tool, an example as an investigative tool for justification and an example as a conviction tool. In Toulmin's view, examples as explorers serve as data, examples as an instrument of investigation for justification serve as warrant and backing while the example as a conviction tool serves as a qualifier to convince them of the resulting claim. An example as an investigative tool for justification produces two types of argumentation structures: argument structures consisting of one cycle and two cycles. An example of an exploratory tool serves as a data form of simple argumentation. Examples play an important role in mathematical proof although the example is not deductive proof. Examples can be used with various functions depending on the student's needs.
Descriptors: Undergraduate Students, Mathematical Logic, Validity, Persuasive Discourse, Mathematics Education, Problem Solving, College Students, Cognitive Processes, Foreign Countries
International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Indonesia
Grant or Contract Numbers: N/A