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All Journal Jurnal Pendidikan Matematika dan IPA Jurnal Didaktik Matematika Jurnal Pendidikan Matematika Universitas Lampung Al Khawarizmi: Jurnal Pendidikan dan Pembelajaran Matematika Eduma : Mathematics Education Learning and Teaching Al-Jabar : Jurnal Pendidikan Matematika JRPM (Jurnal Review Pembelajaran Matematika) JMPM: Jurnal Matematika dan Pendidikan Matematika Jurnal Tadris Matematika Indiktika : Jurnal Inovasi Pendidikan Matematika Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam Lentera Sriwijaya : Jurnal Ilmiah Pendidikan Matematika Arithmetic : Academic Journal of Math Journal Focus Action of Research Mathematic (Factor M) JME (Journal of Mathematics Education)
Eka Resti Wulan
Institut Agama Islam Negeri (IAIN) Kediri
Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Education Languange, Linguistic, Communication & Media Mathematics Physics Other

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Journal : Al-Jabar : Jurnal Pendidikan Matematika

 1 
Metacognitive Failure in Constructing Proof and How to Scaffold it Eka Resti Wulan; Subanji Subanji; Makbul Muksar
Al-Jabar: Jurnal Pendidikan Matematika Vol 12, No 2 (2021): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1442.866 KB) | DOI: 10.24042/ajpm.v12i2.9590

Abstract

This research aims to describe the students’ metacognitive failure in constructing proof and the scaffolding support. The participants of this qualitative case study were eight preservice mathematics teachers of six-semester, State University of Malang. We carried out a test about proof construction problems in Abstract Algebra. Then we verified the data using triangulation of constant comparative method from a test and a task-based interview with the stimulated recall. The results indicated two groups of students in proving strategy.  Group I performed “appropriate” syntactic strategy and Group II vice versa. Blindness was experienced by the subject that does not recognize errors detection or the ambiguity of the proof. Mirage occurred when the subject recognizes an error detection on the proper strategy or application of a theorem, then is unable to verify the truth of his work. Misdirection appeared when the subject recognizes a lack of progress, then uses an incomplete or irrelevant concept. Vandalism emerged with no progress or detection of errors of the strategy then the subject performs some irrelevant steps to the issue or uses a misconception. Practically, the teachers can use these results for learning innovations in scaffolding-based proof courses. The scaffolding might need some development and application in supporting students to overcome difficulty in proving mathematical sentences. 
The portrait of prospective mathematics teachers in critical thinking through problems with contradictory information: A view from prior knowledge Wulan, Eka Resti; Rahayu, Dwi Shinta; El Milla, Yulia Izza; Araiku, Jeri
Al-Jabar: Jurnal Pendidikan Matematika Vol 15, No 1 (2024): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v15i1.19317

Abstract

Background: The development of critical thinking skills in prospective mathematics teachers is essential for their future effectiveness in the classroom. Understanding how these individuals process and resolve problems that contain contradictory information provides insight into their critical thinking abilities. Previous research has highlighted the significant role of prior knowledge in problem-solving and critical thinking.Aim: This study aims to explore the critical thinking processes of prospective mathematics teachers when faced with problems that contain contradictory information. Specifically, it seeks to determine the influence of prior knowledge on their ability to navigate and resolve these complex problems.Methods:  The study employed a sequential explanatory design. Initially, quantitative data from prerequisite skill and critical thinking tests (specifically, problems with contradictory information) were collected from 68 participants. Simple regression analysis informed the selection of six participants (two each with high, medium, and low prerequisite abilities) for the subsequent qualitative phase. In-depth interviews and problem-solving tasks were conducted, prompting participants to articulate their thought processes. Data analysis focuses on identifying patterns and themes in their use of prior knowledge and critical thinking strategies.Results: The findings reveal that prior knowledge plays a pivotal role in how prospective mathematics teachers approach and resolve problems with contradictory information. Those with a strong foundation in mathematical concepts and problem-solving strategies are better equipped to identify inconsistencies and develop logical solutions. Conversely, participants with limited prior knowledge struggle to reconcile conflicting information and often resort to less effective problem-solving methods.Conclusion: This study underscores the importance of prior knowledge in the development of critical thinking skills among prospective mathematics teachers. Educator preparation programs should emphasize the cultivation of a robust knowledge base and provide opportunities for students to engage in complex problem-solving tasks. By doing so, future teachers will be better prepared to navigate the challenges of the classroom and foster critical thinking in their own students.
Co-Authors Agus Miftakus Surur Ahmada Maghfirotul Inayah Alawiyah Mahfudhah Apriana Swastika Araiku, Jeri Dewi Hamidah Dewi Hamidah Dewi Hamidah Diana Puspitasari Dina Awalia Dini Nur Diantik Dwi Shinta Rahayu Dwi Shinta Rahayu El Milla, Yulia Izza El Milla, Yulia Izza Fidia Astuti Fita Nuril Azizah Iffatur Rofiqoh Indah Nur Komala Sari Kharisma Lisa Hada Laylatul Khusnah Makbul Muksar Muhammad Yafis Kahfi Muttaqin Muzayyanatul Jannah Nadya Salsabila Nilta Ilmiyatur Rosidah Nurul Hidayah Rahayu, Dwi Shinta Rusmala Eva Anggraini Subanji Subanji Ulfa Rohmatin Zenik Nurfadilah Zulinda Nur Saidah