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All Journal Jurnal Inovasi Teknologi Pendidikan Eduma : Mathematics Education Learning and Teaching NUMERICAL (Jurnal Matematika dan Pendidikan Matematika) JRPM (Jurnal Review Pembelajaran Matematika) Theorems (The Original Research of Mathematics) Vygotsky: Jurnal Pendidikan Matematika dan Matematika Jurnal Penelitian Pembelajaran Matematika Sekolah J-PiMat : Jurnal Pendidikan Matematika JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Inovasi Matematika (Inomatika) Journal of Community Empowerment Jurnal Abdimas Bencoolen
Lestary, Ratnah
Bengkulu University
Arts Humanities Chemical Engineering, Chemistry & Bioengineering Economics, Econometrics & Finance Education Environmental Science Languange, Linguistic, Communication & Media Mathematics Public Health Social Sciences Other

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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 Adinda Dewi Anggraeni Agustinsa, Ringki Ahbi Mahdianing Rum Ahmad Lutfi Alfizah Ayu Indria Sari an, Agung Roihan Angelina, Widha Apriani, Mulya Sarti Aprilia, Nabila Ari Putra Arista, Viona Azalia, Belinda Cahyo, Riko Dwi Della Maulidiya Dewi Rahimah Dewi, Chintiya Dinda Permatasari, Dinda Divia Utami Putri, Seandyta Edi Susanto Ekawati Marlina, Ekawati Elwan Stiadi Epi Ratna Sari Ferdaus, Ovan Muhammad Fransiska, Rika hanifah hanifah Helda Rahmasari heri apriyanto Hutasuhu, Ridhoan Parlaungan Iqbal Ramadani Ira Maryati Irsal, Nur Aliyyah Kesuma, Rizki Putri Kristiani, Febri Lestari, Karlya Dwi Upika Lutfiah Dwi Gatara Maizora, Syafdi Maizora Maulidya, Della Merliza, Pika Muchlis, Effie Efrida Pitriani, Lusi Putri, Desy Hanisa Putri, Diarti Utami Rahadi Bimansah Rahimah, Dewi Rahmawati, Riski Ramadhanti, Riza Ridho Agio Nesta Rozalia, Icha Rusdi Rusdi Rustanto Rahardi Selly Sindiyani Siagian, Teddy Alfra soliya, damar Subanji Subanji Susanta, Agus Syafdi Maizora Syaffitri, Afiifah Khania Teddy Alfra Siagian Utari, Tria Wulandari, Rizki S. Yensy , Nurul Astuty Zamzaili, Zamzaili