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Journal : Jurnal Elemen

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.
Co-Authors Ade Ayu Dwiguningtyas Agustinus Eko Susetyo Ana Fitrotun Nisa Ani Widyawati, Ani Annis Deshinta Ayuningtyas, Annis Deshinta Arif Bintoro Johan Astuti Arigiyati, Tri Ayu Dwiguningtyas, Ade Azis Muhaimin, Nur Bergman, Luc Bergman, Patrick Budhi, Widodo Dafid Slamet Setiana Denik Agustito Deshinta Ayuningtyas, Annis Devi Septiani Dewi, Rahmita Fitri Dhimas Nur Setyawan Didi Supriyadi Eka Yulia Sari Elyas Djufri Eriana, Sabila Erni Puji Astuti Esti Harini, Esti Fajarudin, Muhamad Fitria Sulistyowati Hanub, Aan Julia Harlita Hera, Cicilia Jaga I Nyoman Arcana Imam Ghozali Isnanik Juni Fitriyah istiqomah istiqomah Krida Singgih Kuncoro Kuncoro, K. S. Laila, Annis Nur Langobelen, Petrus Damianus Sapan Lestari, Ega Sri Logho, Elisabeth Ina Wee Maysaroh, Irma Leny Meirani, Fajar Miftakhul Huda Muhammad Irfan Nadzeri, Mohamad Basri Naibaho, Risko Nelly Rhosyida Nurcholish Arifin Handoyono, Nurcholish Arifin Nurmala, Ika Nurul Islamia , Almira Özsüt, Bahadır Pahmi, Samsul Pardimin Pardimin, Pardimin Patrisius Afrisno Udil, Patrisius Afrisno Poort, Elang Amadeus Prihatin, Ayung Yeni Puspita, Yova Ayu Resti Yektyastuti, Resti Riawan Yudi Purwoko Riyanita Sarani, Fajar Rukmana, Indah Ayu Sahidah, Nur Sain, Zohaib Hassan Salma Azizah, Salma Samsul Hadi Sarwanto Septiani, Devi Sheidu, Comfort Fatimoh Sony Yunior Erlangga Sukiyanto Sulaimon, Jamiu Temitope Syamsul Hadi Tri Astuti Arigiyati, Tri Astuti Trisharsiwi Trisharsiwi, Trisharsiwi Trisniawati Trisniawati, Trisniawati Wikan Budi Utami Wulandari, Amima Yaakub, Mohd Syarull Azlan Yunior Erlangga, Sony Yuyun Yulia Zainnur Wijayanto