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Jurnal Elemen
Published by Universitas Hamzanwadi
ISSN : -     EISSN : 24424226     DOI : -
Core Subject : Education,
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Cakupan dan ruang lingkup Jurnal Elemen terdiri dari (1) kurikulum pendidikan matematika; (2) metode pembelajaran matematika; (3) media pembelajaran matematika; (4) pembelajaran matematika berbasis teknologi dan informasi, ; (5) penilaian dan evaluasi pembelajaran matematika; (6) kreativitas dan inovasi pembelajaran matematika; (7) Lesson Study pembelajaran matematika, dan (8) topik lain yang terkait dengan pendidikan matematika.
Arjuna Subject : -
Articles 3 Documents
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Search results for , issue "Vol 12 No 1 (2026): January" : 3 Documents clear
Transformations of students’ cognitive processes when solving PISA-like problems: A commognitive analysis Atmaja, Satriya Adika Arif; Zaenuri; Isnarto; Dewi (Nino Adhi), Nuriana Rachmani
Jurnal Elemen Vol 12 No 1 (2026): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i1.30715

Abstract

The mathematical literacy of Indonesian students in PISA 2022 was categorized as low, highlighting the importance of understanding students’ cognitive processes in mathematical problem solving. This study examines transformations in the cognitive processes of a 15-year-old Indonesian student when solving PISA-like problems using Sfard’s commognitive framework. A qualitative approach was employed to capture detailed learning dynamics. The participant was a 15-year-old student from a randomly selected junior high school in Rembang Regency, Central Java Province, Indonesia, purposefully selected based on the mathematics teacher’s nomination for strong mathematical ability and clear evidence of cognitive shifts during problem solving. The tasks were developed by the researcher and adapted to relevant Indonesian contexts. Qualitative data—including written work, observations, and semi-structured interviews—were analyzed using mathematical literacy processes (formulating, employing, interpreting, and evaluating) and mapped onto four commognitive components: Word Use (WU), Visual Mediators (VM), Routines (R), and Narratives (N). Findings show that reflective self-evaluation supports cognitive restructuring, enabling movement from procedural errors toward coherent reasoning through shifts in WU, VM, and R. The study underscores the need for instructional designs that foster meta-level discourse, reflective thinking, and flexible visual re-representation to strengthen students’ mathematical reasoning.
Students’ reasoning patterns in solving statistical data problems at the junior high school level: An APOS perspective Kusumaningrum, Betty; Irfan, Muhammad; Puspita, Yova Ayu; Harini, Esti; Djufri, Elyas; Bergman, Luc
Jurnal Elemen Vol 12 No 1 (2026): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i1.30955

Abstract

Many students face challenges in reasoning through statistical data problems; however, little is known about how their thinking processes develop through different cognitive stages. A qualitative descriptive design was employed to explore students’ reasoning patterns in solving statistical data problems through the lens of Action, Process, Object, and Schema (APOS) theory. This study was conducted with seventh-grade students at a public junior high school in Kulon Progo, Indonesia. Data were collected through written tests and semi-structured interviews and were analyzed using coding techniques aligned with the APOS indicators. The results show that students with correct answers demonstrated conceptual reasoning and progressed through all APOS stages, whereas those with incorrect answers showed fragmented understanding and failed to complete the cognitive sequence. This study contributes to mathematics education by extending the APOS theory to statistical data representation at the secondary level.
Numeracy across field-dependent and field-independent cognitive styles of junior high students in Indonesia Son, Aloisius Loka; Bete, Hendrika; Salsinha, Cecilia Novianti
Jurnal Elemen Vol 12 No 1 (2026): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v12i1.32267

Abstract

This study explores differences in numeracy between junior high school students with Field-Dependent (FD) and Field-Independent (FI) cognitive styles. Using a qualitative descriptive approach, the study was conducted in two junior high schools in Kefamenanu, West Timor, Indonesia. Forty students, evenly distributed across the two schools, participated in the study. Data were collected through numeracy tests and in-depth interviews to examine students’ performance across three numeracy components: understanding, application, and reasoning. The findings reveal that students with an FI cognitive style generally demonstrated competence in all three components, although some experienced difficulties in reasoning tasks requiring critical evaluation and formal justification. In contrast, students with an FD cognitive style tended to achieve only the understanding and application components and faced persistent challenges in progressing to the reasoning component. These results highlight the importance of differentiated numeracy instruction. FD students benefit from visual representations, explicit guidance, and collaborative learning to strengthen foundational, whereas FI students require non-routine and argumentative tasks to enhance higher-order reasoning. This study recommends that educators and future researchers implement inclusive numeracy literacy practices aligned with students’ cognitive styles.

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