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Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills

Journal on Mathematics Education · Vol. 14 No. 4 (2023) · hlm. 757–780

DOI
10.22342/jme.v14i4.pp757-780
ISSN
2407-0610, 2087-8885
Terbit
2023-10-06
Penerbit
Indonesian Mathematical Society
Lisensi
creativecommons.org/licenses/by/4.0

Abstrak

The study material on circle areas is contextually oriented and aids students in comprehending their surrounding environment. Higher-order thinking skills are imperative for the success of circular learning, as they help students grasp concepts holistically and solve concept problems. "What-if" questions can enhance students' higher-order thinking skills through problem-solving activities, fostering critical and creative thinking. However, applying "what-if" questions is limited to serving as problem-posing triggers, resulting in minimal variation in the material. Therefore, this study aims to design a learning trajectory for the area of circles based on "what-if" questions to enhance students' higher-order thinking skills. This research also addresses the gap by utilizing "what-if" questions to construct and evaluate circle area learning activities. We employed design research as the research method, conducted in three stages: preliminary design, experimental design, and retrospective analysis. The results demonstrated that the designed learning trajectory enhanced higher-order thinking skills in various aspects. Students exhibited critical thinking and profound analysis when working on worksheets and addressing the provided problems. Moreover, students showcased creative and divergent thinking abilities, enabling them to generate alternative problem solutions. Furthermore, optimizing technology usage and emphasizing reasoning in learning should be augmented to enhance student motivation and foster innovative learning.

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  • Universitas Ahmad Dahlan
  • Universitas Mahasaraswati Denpasar
  • Sriwijaya University
  • IKIP Siliwangi
  • Universitas Papua
  • Universitas Serambi Mekkah
  • Universitas PGRI Sumatera Barat
  • Organisasi lain
  • Afiliasi tidak diketahui
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  • Afiliasi tidak diketahui
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Rekan penulisOrganisasiArtikel bersama
Irma RisdiyantiUniversitas Ahmad Dahlan6
Ratu Ilma Indra PutriSriwijaya University5
Ibrahim KhalilUniversity of Bisha5
Wahyu HidayatIKIP Siliwangi4
ZulkardiAfiliasi tidak diketahui4
Nur Robiah Nofikusumawati PeniUniversitas Ahmad Dahlan4
Heris HendrianaIKIP Siliwangi3
Satoshi KusakaNaruto University of Education3
Lekë PepkolajUniversiteti Metropolitan Tirana3
Zulkardi ZulkardiSriwijaya University2
Wahid YuniantoSEAMEO Regional Centre for QITEP in Mathematics2
Laela SagitaUniversitas PGRI Yogyakarta2
Benidiktus TanujayaUniversitas Papua2
Jeinne MumuUniversitas Papua2
Rahmi RamadhaniAfiliasi tidak diketahui2
Novita RistianaUniversitas Ahmad Dahlan2
ZulkardiAfiliasi tidak diketahui2
Ahmad Muhammad DiponegoroUniversitas Ahmad Dahlan2
Masitah ShahrillAfiliasi tidak diketahui2
Binti Anisaul KhasanahUniversitas Ahmad Dahlan2
Yusuf HartonoSriwijaya University1
Petra SuwastiAfiliasi tidak diketahui1
Dedi MuhtadiSiliwangi University1
Sukirwan SukirwanSultan Ageng Tirtayasa University1
Warsito WarsitoUniversity of Brawijaya1
Muhamad SalehUniversitas Serambi Mekkah1
Muhammad IsaUniversitas Serambi Mekkah1
Murni MurniUniversitas Abulyatama1
Tika SeptiaUniversitas PGRI Sumatera Barat1
Pebrianto PebriantoAfiliasi tidak diketahui1
Rahma WahyuUniversitas Islam Raden Rahmat Malang1
Laila Fatika NuariUniversitas Ahmad Dahlan1
Irma FatmawatiAfiliasi tidak diketahui1
Delsi KarimanUniversitas PGRI Sumatera Barat1
Yulyanti HarismanUniversitas Negeri Padang1

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Sumber metadata: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2407-0610/works, pertama di-harvest 28 Okt 2026, terakhir terlihat 8 Nov 2026.
Metadata sebagai oai_dc, dikonversi dari Crossref
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