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heri apriyanto
Badan Pengkajian dan Penerapan Teknologi, Kawasan Puspiptek Serpong, Tangerang Selatan, 15413
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Common Pitfalls in Mathematical Induction Lestary, Ratnah; Apriyanto, Heri
J-PiMat : Jurnal Pendidikan Matematika Vol 8, No 1 (2026): J-PiMat
Publisher : Prodi Pendidikan Matematika STKIP Persada Khatu;istiwa Sintang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31932/j-pimat.v8i1.6252

Abstract

Many students encounter difficulties when learning the material on mathematical induction. A lack of understanding of the principles of mathematical induction leads students to make errors when attempting to prove mathematical statements repeatedly. To help students avoid these pitfalls, it is essential to analyze common pitfalls that frequently occur in the proof process using mathematical induction. This study employed a qualitative approach, utilizing a case study design, to analyze the answer sheets of 56 students from the first semester of the Mathematics Education program. The answers were categorized into five groups based on the types of difficulties encountered. From each category, one information-rich case was selected for further interviews. The research revealed several common pitfalls in mathematical induction: (1) failure to write the complete mathematical statement to be proven, (2) misunderstanding the importance of defining the domain of numbers, (3) using examples to prove the mathematical statement, (4) pitfall due to lack of metacognitive control, and (5) performing operations on both the left and right sides of the mathematical statement in the second stageKeyword: Error Analysis; Mathematical Proof; Mathematical Induction; Pitfall
Co-Authors ., Suyuti Agus Sriyanto Anggraeni, Citra Dewi Ardiana, Citra Assaf Arief, Assaf Ayu Pradnyapasa, Dhita Dani Soewargono, Binuko Dwi Tamtomo, Taufiq Endah Harisun Eriyatno . Ernan Rustiadi Heldini, Noorish Hermawan Prasetya Hidayat, Janthy Trilusianthy Ikhwanuddin Mawardi Lestary, Ratnah Lusia, Akira Madigliani, Adam Muhammad, Miftah Pratama Putera, Irfan Setiastuti, Nugraheni Setiastuti, Nugraheni Dewi Sugarmansyah, Ugay Suhendra, Aphang Suhendra, Aphang Dewi Surya, Lukman Suryaningtyas, Annisa Dewi Tresani, Nurahma Winayanti, Lana Wiratmoko, Agung