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

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&...

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Main Authors: I Putu Ade Andre Payadnya, Rully Charitas Indra Prahmana, Jane-Jane Lo, Putu Ledyari Noviyanti, I Made Dharma Atmaja
Format: Article
Language:English
Published: Sriwijaya University 2023-10-01
Series:Journal on Mathematics Education
Subjects:
Online Access:http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/512
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author I Putu Ade Andre Payadnya
Rully Charitas Indra Prahmana
Jane-Jane Lo
Putu Ledyari Noviyanti
I Made Dharma Atmaja
author_facet I Putu Ade Andre Payadnya
Rully Charitas Indra Prahmana
Jane-Jane Lo
Putu Ledyari Noviyanti
I Made Dharma Atmaja
author_sort I Putu Ade Andre Payadnya
collection DOAJ
description 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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spelling doaj.art-2abcf18fad2d4364b0dd34f12b83c8c22023-10-21T06:29:22ZengSriwijaya UniversityJournal on Mathematics Education2087-88852023-10-0114475778010.22342/jme.v14i4.pp757-780512Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skillsI Putu Ade Andre Payadnya0https://orcid.org/0000-0002-9048-1957Rully Charitas Indra Prahmana1https://orcid.org/0000-0002-9406-689XJane-Jane Lo2https://orcid.org/0000-0002-3055-3103Putu Ledyari Noviyanti3I Made Dharma Atmaja4https://orcid.org/0000-0003-3421-6291Mathematics Education Department, Universitas Mahasaraswati Denpasar, Bali, IndonesiaMathematics Education Department, Universitas Ahmad Dahlan, Yogyakarta, IndonesiaDepartment of Mathematics, Western Michigan University, Kalamazoo, United StatesMathematics Education Department, Universitas Mahasaraswati Denpasar, Bali, IndonesiaMathematics Education Department, Universitas Mahasaraswati Denpasar, Bali, IndonesiaThe 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.http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/512area of circledesign researchhigher-order thinking skills“what-if” question
spellingShingle I Putu Ade Andre Payadnya
Rully Charitas Indra Prahmana
Jane-Jane Lo
Putu Ledyari Noviyanti
I Made Dharma Atmaja
Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills
Journal on Mathematics Education
area of circle
design research
higher-order thinking skills
“what-if” question
title Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills
title_full Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills
title_fullStr Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills
title_full_unstemmed Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills
title_short Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills
title_sort designing area of circle learning trajectory based on what if questions to support students higher order thinking skills
topic area of circle
design research
higher-order thinking skills
“what-if” question
url http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/512
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