Students’ Semantic-Proof Production in Proving a Mathematical Proposition

Syamsuri Syamsuri, Purwanto Purwanto, Subanji Subanji, Santi Irawati

Abstract


Proving a proposition is emphasized in undergraduate mathematics learning. There are three strategies in proving or proof-production, i.e.: procedural-proof, syntactic-proof, and semantic-proof production. Students’ difficulties in proving can occur in constructing a proof. In this article, we focused on students’ thinking when proving using semantic-proof production. This research is qualitative research that conducted on students majored in mathematics education in public university in Banten province, Indonesia. Data was obtained through asking students to solve proving-task using think-aloud and then following by interview based task. Results show that characterization of students’ thinking using semantic-proof production can be classified into three categories, i.e.: (1) false-semantic, (2) proof-semantic for clarification of proposition, (3) proof-semantic for remembering concept. Both category (1) and (2) occurred before students proven formally in Representation System Proof (RSP). Nevertheless, category (3) occurred when students have proven the task in RSP then step out from RSP while proving. Based on the results, some suitable learning activities should be designed to support the construction of these mental categories.


Keywords


semantic-proosemantic-proof; proving; mathematical proposition; RSP; APOS Theoryf, proving, mathematical proposition, RSP, APOS Theory

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DOI: http://dx.doi.org/10.11591/edulearn.v12i3.5578

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Journal of Education and Learning (EduLearn)
ISSN: 2089-9823, e-ISSN 2302-9277
Published by: Universitas Ahmad Dahlan (UAD) in collaboration with Institute of Advanced Engineering and Science (IAES)

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