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All Journal SOSIOEDUKASI : JURNAL ILMIAH ILMU PENDIDIKAN DAN SOSIAL JME (Journal of Mathematics Education)
Iventri, Kuirinus
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Education Mathematics Social Sciences Other

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ROUTINES CONFLICT COMMOGNITIVE IN STUDENTS' WORK RESULTS ON THE MATERIAL OF INDEFINITE FORM LIMITS Emanuel, Endrayana Putut Laksminto; Anam, Fatkul; Iventri, Kuirinus; El Walida, Sikky
JME (Journal of Mathematics Education) Vol 10, No 1 (2025): JME
Publisher : Universitas Sembilanbelas November Kolaka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31327/jme.v10i1.2518

Abstract

This research aims to describe cognitive conflicts that occur in first year students when solving indefinite form limit problems. This research is qualitative research with the researcher as the main instrument. Research method with stages of preparation, data collection, transcript and analysis. A total of 8 students from private universities were given mathematics problem sheets, containing limit questions of indefinite form consisting of one number and worked on for 30 minutes. Two students were selected as research subjects based on indicators of conflict in the components of routines and were interviewed in a semi-structured and in-depth manner to explore further information about the causes of conflict. The results of the research showed that the research subjects were able to solve the questions given but there were errors that triggered conflict, both ritualized and exploratory. . Ritualized due to weak understanding of material previously received in high school.  Exploratory, which is a new or different method because it is not well understood, can cause cognitive conflict. Good mastery and understanding of the material can reduce the occurrence of cognitive conflicts in students' minds.
COMMOGNITIVE ANALYSIS OF STUDENTS' WORK IN SOLVING PROBABILITY PROBLEMS Emanuel, Endrayana Putut Laksminto; Soewardini, Herfa Maulina Dewi; Iventri, Kuirinus; Walida, Sikky El
JME (Journal of Mathematics Education) Vol 10, No 2 (2025): JME (Jul - Dec)
Publisher : Universitas Sembilanbelas November Kolaka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31327/jme.v10i2.2280

Abstract

This research aims to describe cognitive conflicts that occur in first year students when solving indefinite form limit problems. This research is qualitative research with the researcher as the main instrument. Research method with stages of preparation, data collection, transcript and analysis. A total of 8 students from private universities were given mathematics problem sheets, containing limit questions of indefinite form consisting of one number and worked on for 30 minutes. Two students were selected as research subjects based on indicators of conflict in the components of routines and were interviewed in a semi-structured and in-depth manner to explore further information about the causes of conflict. The results of the research showed that the research subjects were able to solve the questions given but there were errors that triggered conflict, both ritualized and exploratory. . Ritualized due to weak understanding of material previously received in high school.  Exploratory, which is a new or different method because it is not well understood, can cause cognitive conflict. Good mastery and understanding of the material can reduce the occurrence of cognitive conflicts in students' minds.
EXPLORING JUNIOR HIGH SCHOOL STUDENTS’ CRITICAL THINKING PROCESSES IN SOLVING SYSTEMS OF LINEAR EQUATIONS USING GEOGEBRA: A QUALITATIVE CASE STUDY iventri, kuirinus; Lukito, Agung; Wijayanti, Pradnyo
SOSIOEDUKASI Vol 15 No 1 (2026): SOSIOEDUKASI : JURNAL ILMIAH ILMU PENDIDIKAN DAN SOSIAL
Publisher : Fakultas Keguruan Dan Ilmu Pendidikan Universaitas PGRI Banyuwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36526/sosioedukasi.v15i1.7291

Abstract

Critical thinking is an essential cognitive skill in mathematics learning, particularly in solving contextual and non-routine problems. However, many junior high school students still experience difficulties in applying critical thinking when solving systems of linear equations. This study aims to explore the critical thinking processes of students in solving systems of linear equations in two variables (SPLDV) using GeoGebra. A qualitative descriptive approach with a case study design was employed. The participants were 25 ninth-grade students from a junior high school in Surabaya, Indonesia. Based on the results of a critical thinking test, three students were purposively selected to represent successful, less successful, and unsuccessful problem solvers. Data were collected through GeoGebra-assisted problem-solving tasks and semi-structured interviews, and analyzed using Facione’s critical thinking framework: interpretation, analysis, inference, evaluation, explanation, and self-regulation. The findings reveal that successful students demonstrated all six critical thinking processes consistently, while less successful students showed partial fulfillment of the indicators. Unsuccessful students failed to demonstrate most critical thinking processes due to weak conceptual understanding and poor problem interpretation. GeoGebra supported visualization and verification of solutions but did not replace conceptual reasoning. These findings highlight the importance of integrating technology with explicit instruction on critical thinking processes in mathematics learning.
Co-Authors AGUNG LUKITO Emanuel, Endrayana Putut Laksminto Fatkul Anam Herfa Maulina Dewi Soewardini Pradnyo Wijayanti Walida, Sikky El