ANALYSIS OF STUDENTS' ABILITY TO USE THE MATHEMATICAL INDUCTION PROOF METHOD IN CLASS XI SMK NEGERI 1 O’O’U
Keywords:
Student Ability; Proof Method; Mathematical Induction
Abstract
The purpose of this research is to describe students' abilities in using mathematical induction in Class XI at SMK Negeri 1 O’o’u. This study employs a qualitative approach with a descriptive method. The subjects of this research are 35 students from Class XI SMK Negeri 1 O’o’u. Data were analyzed through steps including data reduction, data presentation, and conclusion drawing. The data collection techniques used were tests and interviews. The results show that out of 35 students, 2 students fall into the very good category, 11 students into the good category, 9 students into the sufficient category, 6 students into the poor category, and 7 students into the very poor category. Thus, it can be concluded that students' ability to use the mathematical induction proof method is categorized as good, with a percentage of 31.42%. Based on these findings, the researcher suggests that students should deepen their understanding of the proof method and practice mathematical induction problems intensively, enabling them to solve various mathematical induction problems accurately.
References
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Buulolo, W. C. D. (2024). The Influence of Students' Learning Styles on Mathematical Communication Skills in Class X on Matrix Material at SMK Negeri 1 Toma. Afore: Journal of Mathematics Education, 3(1), 99-112. https://doi.org/10.57094/afore.v3i1.1686
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Darmawan Harefa, Murnihati Sarumaha, Kaminudin Telaumbanua, Tatema Telaumbanua, Baziduhu Laia, F. H. (2023). Relationship Between Student Learning Interest and Learning Outcomes in Natural Sciences. International Journal of Educational Research and Social Sciences (IJERSC), 4(2), 240–246. https://doi.org/10.51601/ijersc.v4i2.614
Indonesian Department of Education. (2008). The Big Indonesian Dictionary. Jakarta: Balai Pustaka.
Dewi, N., Ahmad, N., Nurul, F. (2019). Analysis of Students’ Conceptual Errors on Mathematical Induction Topics at STKIP Bina Bangsa Gesempena Banda Aceh.
Djamarah, S. B. (2008). Psychology of Learning. Rineka Cipta.
Eva, Melania Wulanningtyas. (2011). Analysis of Student Errors in Class VIII B at Kanisius Pakem Junior High School in Solving Story Problems on the Topic of Proportional Relationships for the 2011/2012 Academic Year. Yogyakarta: Sanata Dharma University.
Foahonoa Zisokhi Nehe. (2024). The Influence of Contextual Teaching and Learning (CTL) Model on Students' Understanding of Mathematical Concepts on Three-Dimensional Material. Afore: Journal of Mathematics Education, 3(1), 41-56. https://doi.org/10.57094/afore.v3i1.1684
Gaurifa, M., & Darmawan Harefa. (2023). Development of a Cartesian Coordinate Module and Its Influence on Implementing the Round Club Learning Model on Mathematics Student Learning Outcomes. Afore: Journal of Mathematics Education, 2(2), 45-55. https://doi.org/10.57094/afore.v2i2.1130
GBHN. (1973). Fundamentals of Education. Jakarta: PT. Rineka Cipta.
Gulo, J. (2024). Analysis of Conceptual Errors Based on Learning Styles in Algebraic Operations Material. Afore: Journal of Mathematics Education, 3(1), 84-98. https://doi.org/10.57094/afore.v3i1.1697
Halawa, M. (2024). Differences in Students' Problem-Solving Abilities in Mathematics Using Team Quiz and Individual Quiz Methods on Sequences and Series Material. Afore: Journal of Mathematics Education, 3(1), 57-70. https://doi.org/10.57094/afore.v3i1.1702
Halawa, S., & Darmawan Harefa. (2024). The Influence of Contextual Teaching and Learning Based Discovery Learning Models on Students' Mathematical Problem-Solving Abilities. Afore: Journal of Mathematics Education, 3(1), 11-25. https://doi.org/10.57094/afore.v3i1.1711
Harefa, D. (2022). Student Difficulties in Learning Mathematics. Afore: Journal of Mathematics Education, 1(2), 1-10. https://doi.org/10.57094/afore.v1i2.431
Harefa, D. (2023). The Relationship Between Students’ Interest in Learning and Mathematics Learning Outcomes. Afore: Journal of Mathematics Education, 2(2), 1-11. https://doi.org/10.57094/afore.v2i2.1054
Hartono, Yusuf. (2014). Mathematics Problem-Solving Strategies. Yogyakarta: Graha Ilmu.
Hendriana, S. (2016). Innovative Mathematics Learning with a Value and Character Education Approach. Bandung: PT. Refika Aditama.
Heri, S., & Siska, F. (2019). Mathematical Proof Abilities of Students Using Mathematical Induction.
Hoffman, S. (1994). Assessment in Mathematics Learning. Bandung: PT Refika Aditama.
Hulu, A. J. (2024). Development of Student Worksheets Based on Contextual Teaching Learning on Indefinite Integral Functions Material. Afore: Journal of Mathematics Education, 3(1), 1-10. https://doi.org/10.57094/afore.v3i1.1678
Hulu, L. J. (2023). Analysis of Student Errors in Solving Questions on a System of Linear Equations with Two Variables in Class VIII at SMP Negeri 2 Somambawa for the 2022/2023 Academic Year. Afore: Journal of Mathematics Education, 2(2), 99-114. https://doi.org/10.57094/afore.v2i2.1053
Iyam Maryati, Yenny Suzana, Darmawan Harefa, I. T. M. (2022). Analysis of Mathematical Communication Ability in Linear Algebra Material. PRISMA, 11(1), 210–220.
Laia, F. (2024). Analysis of Class VIII Students' Difficulties in Solving Linear Equation System Problems. Afore: Journal of Mathematics Education, 3(1), 127-139. https://doi.org/10.57094/afore.v3i1.1679
Laia, I. I. (2024). Comparison of Demonstration Method and Discussion Method in Enhancing Conceptual Understanding of Trigonometry in Class X Students at SMASWASTA Kampus Teluk Dalam. Afore: Journal of Mathematics Education, 3(1), 71-83. https://doi.org/10.57094/afore.v3i1.1689
Laia, M. (2023). The Relationship Between Character Education and Mathematics Learning in Class IX Students at SMP Negeri 5 Susua. Afore: Journal of Mathematics Education, 2(2), 128-137. https://doi.org/10.57094/afore.v2i2.1136
Laia, M. F. (2023). Development of a Cartesian Coordinate Module to Improve Understanding of Mathematical Concepts. Afore: Journal of Mathematics Education, 2(2), 27-44. https://doi.org/10.57094/afore.v2i2.1129
Laia, N. B. (2023). Development of a Matrix Module to Improve Understanding of Mathematical Concepts. Afore: Journal of Mathematics Education, 2(2), 56-68. https://doi.org/10.57094/afore.v2i2.1131
Mahmud, N., Siti, R. A., Hakim, F. (2023). Analysis of Factors Affecting Students’ Mathematical Proof Abilities on Mathematical Induction Material.
Marti. (2010). Media and Teaching Aids in Mathematics Learning. Bandung: Alfabeta.
Mesrawati Ndruru. (2024). Analysis of Class VIII Students' Understanding of Mathematical Concepts at SMP Negeri 1 Ulususua on Cartesian Coordinate Material. Afore: Journal of Mathematics Education, 3(1), 113-126. https://doi.org/10.57094/afore.v3i1.1693
Moleong, Lexy J. (2016). Bandung: PT Remaja Rosdakarya.
Munir. (2010). Discrete Mathematics. Bandung: Informatika Bandung.
Nur, H., Siti, N. L., Shofia, H. (2022). Analysis of Students’ Errors in Solving Mathematical Induction Problems.
Rahmat Penius Halawa. (2024). Analysis of Students' Understanding of Mathematical Concepts on the Pythagorean Theorem Material Based on Learning Motivation in Class VIII at SMP Negeri 1 Lolofitu Moi. Afore: Journal of Mathematics Education, 3(1), 26-40. https://doi.org/10.57094/afore.v3i1.1706
Rinaldi, M. (2005). Discrete Mathematics. Bandung: Informatika Bandung.
Runtukahu, Tombokan, & Selpius Kandou. (2014). Basic Mathematics Learning for Students with Learning Difficulties. Yogyakarta: Ar-Ruzz Media.
Sarumaha, E. R. P. (2023). Development of a Module on Equations and Square Functions to Improve the Mathematical Problem-Solving Capability of Class IX Private Christian SMP BNKP Telukdalam. Afore: Journal of Mathematics Education, 2(2), 69-82. https://doi.org/10.57094/afore.v2i2.1132
Sarumaha, W. F. (2023). Analysis of Mathematical Problem-Solving Abilities on Exponents and Radical Forms Based on Students' Interest in Class IX at SMPS Kristen BNKP Telukdalam for the 2022/2023 Academic Year. Afore: Journal of Mathematics Education, 2(2), 12-26. https://doi.org/10.57094/afore.v2i2.1101
Sihombing, R. (2023). Application of the Problem Based Instruction (PBI) Learning Model on Tube Materials to Improve Student Learning Outcomes. Afore: Journal of Mathematics Education, 2(2), 115-127. https://doi.org/10.57094/afore.v2i2.1135
Soejadi, R. (2020). Directorate General of Higher Education, Ministry of Education and Culture.
Steven, D., & Jeniffer, T. (2002). Qualitative Research Methods. Bandung: ALFABETA CV.
Sugiyono. (2012). Quantitative, Qualitative Research Methods and R&D. Bandung: Alfabeta.
Sugiyono. (2016). Quantitative, Qualitative Research Methods, and R&D. Alfabeta. Bandung.
Suherman, Erman, et al. (2003). Contemporary Mathematics Learning Strategies. Bandung: PT Remaja Rosdakarya.
Sukirman. (2013). Number Theory. Yogyakarta: UNY Press.
Telaumbanua, L. (2023). Development of Learning Modules with Data Presentation Materials to Increase Students’ Interest in Learning. Afore: Journal of Mathematics Education, 2(2), 83-98. https://doi.org/10.57094/afore.v2i2.1134
Tinggih. (1972). Development of Curriculum and Mathematics Learning. Malang: Universitas Negeri Malang.
UU No. 20 on the National Education System, (2003). Assessment of Mathematics Learning. Bandung: PT Refika Aditama.
Aisyah. (2007). Mathematics Education in Elementary Schools. Jakarta: Depdiknas.
Anas Sudijono. (2008). Introduction to Educational Statistics. Jakarta: Raja Grafindo Persada.
Arikunto, S. (2018). Fundamentals of Educational Evaluation, 3rd Edition. Bumi Aksara.
Arnawa, I. M. (2009). Developing Students' Ability to Validate Algebraic Proofs in Abstract Through Learning Based on APOS Theory. Journal of Andalas University, Padang.
Auerbach, S. (2003). Qualitative Research Methods. Bandung: ALFABETA CV.
Buulolo, W. C. D. (2024). The Influence of Students' Learning Styles on Mathematical Communication Skills in Class X on Matrix Material at SMK Negeri 1 Toma. Afore: Journal of Mathematics Education, 3(1), 99-112. https://doi.org/10.57094/afore.v3i1.1686
Clement, M. N. (1980). Analyzing Children’s Errors on Mathematical Tasks. Education Studies in Mathematics, 11, 1-12.
Darmawan Harefa, Murnihati Sarumaha, Kaminudin Telaumbanua, Tatema Telaumbanua, Baziduhu Laia, F. H. (2023). Relationship Between Student Learning Interest and Learning Outcomes in Natural Sciences. International Journal of Educational Research and Social Sciences (IJERSC), 4(2), 240–246. https://doi.org/10.51601/ijersc.v4i2.614
Indonesian Department of Education. (2008). The Big Indonesian Dictionary. Jakarta: Balai Pustaka.
Dewi, N., Ahmad, N., Nurul, F. (2019). Analysis of Students’ Conceptual Errors on Mathematical Induction Topics at STKIP Bina Bangsa Gesempena Banda Aceh.
Djamarah, S. B. (2008). Psychology of Learning. Rineka Cipta.
Eva, Melania Wulanningtyas. (2011). Analysis of Student Errors in Class VIII B at Kanisius Pakem Junior High School in Solving Story Problems on the Topic of Proportional Relationships for the 2011/2012 Academic Year. Yogyakarta: Sanata Dharma University.
Foahonoa Zisokhi Nehe. (2024). The Influence of Contextual Teaching and Learning (CTL) Model on Students' Understanding of Mathematical Concepts on Three-Dimensional Material. Afore: Journal of Mathematics Education, 3(1), 41-56. https://doi.org/10.57094/afore.v3i1.1684
Gaurifa, M., & Darmawan Harefa. (2023). Development of a Cartesian Coordinate Module and Its Influence on Implementing the Round Club Learning Model on Mathematics Student Learning Outcomes. Afore: Journal of Mathematics Education, 2(2), 45-55. https://doi.org/10.57094/afore.v2i2.1130
GBHN. (1973). Fundamentals of Education. Jakarta: PT. Rineka Cipta.
Gulo, J. (2024). Analysis of Conceptual Errors Based on Learning Styles in Algebraic Operations Material. Afore: Journal of Mathematics Education, 3(1), 84-98. https://doi.org/10.57094/afore.v3i1.1697
Halawa, M. (2024). Differences in Students' Problem-Solving Abilities in Mathematics Using Team Quiz and Individual Quiz Methods on Sequences and Series Material. Afore: Journal of Mathematics Education, 3(1), 57-70. https://doi.org/10.57094/afore.v3i1.1702
Halawa, S., & Darmawan Harefa. (2024). The Influence of Contextual Teaching and Learning Based Discovery Learning Models on Students' Mathematical Problem-Solving Abilities. Afore: Journal of Mathematics Education, 3(1), 11-25. https://doi.org/10.57094/afore.v3i1.1711
Harefa, D. (2022). Student Difficulties in Learning Mathematics. Afore: Journal of Mathematics Education, 1(2), 1-10. https://doi.org/10.57094/afore.v1i2.431
Harefa, D. (2023). The Relationship Between Students’ Interest in Learning and Mathematics Learning Outcomes. Afore: Journal of Mathematics Education, 2(2), 1-11. https://doi.org/10.57094/afore.v2i2.1054
Hartono, Yusuf. (2014). Mathematics Problem-Solving Strategies. Yogyakarta: Graha Ilmu.
Hendriana, S. (2016). Innovative Mathematics Learning with a Value and Character Education Approach. Bandung: PT. Refika Aditama.
Heri, S., & Siska, F. (2019). Mathematical Proof Abilities of Students Using Mathematical Induction.
Hoffman, S. (1994). Assessment in Mathematics Learning. Bandung: PT Refika Aditama.
Hulu, A. J. (2024). Development of Student Worksheets Based on Contextual Teaching Learning on Indefinite Integral Functions Material. Afore: Journal of Mathematics Education, 3(1), 1-10. https://doi.org/10.57094/afore.v3i1.1678
Hulu, L. J. (2023). Analysis of Student Errors in Solving Questions on a System of Linear Equations with Two Variables in Class VIII at SMP Negeri 2 Somambawa for the 2022/2023 Academic Year. Afore: Journal of Mathematics Education, 2(2), 99-114. https://doi.org/10.57094/afore.v2i2.1053
Iyam Maryati, Yenny Suzana, Darmawan Harefa, I. T. M. (2022). Analysis of Mathematical Communication Ability in Linear Algebra Material. PRISMA, 11(1), 210–220.
Laia, F. (2024). Analysis of Class VIII Students' Difficulties in Solving Linear Equation System Problems. Afore: Journal of Mathematics Education, 3(1), 127-139. https://doi.org/10.57094/afore.v3i1.1679
Laia, I. I. (2024). Comparison of Demonstration Method and Discussion Method in Enhancing Conceptual Understanding of Trigonometry in Class X Students at SMASWASTA Kampus Teluk Dalam. Afore: Journal of Mathematics Education, 3(1), 71-83. https://doi.org/10.57094/afore.v3i1.1689
Laia, M. (2023). The Relationship Between Character Education and Mathematics Learning in Class IX Students at SMP Negeri 5 Susua. Afore: Journal of Mathematics Education, 2(2), 128-137. https://doi.org/10.57094/afore.v2i2.1136
Laia, M. F. (2023). Development of a Cartesian Coordinate Module to Improve Understanding of Mathematical Concepts. Afore: Journal of Mathematics Education, 2(2), 27-44. https://doi.org/10.57094/afore.v2i2.1129
Laia, N. B. (2023). Development of a Matrix Module to Improve Understanding of Mathematical Concepts. Afore: Journal of Mathematics Education, 2(2), 56-68. https://doi.org/10.57094/afore.v2i2.1131
Mahmud, N., Siti, R. A., Hakim, F. (2023). Analysis of Factors Affecting Students’ Mathematical Proof Abilities on Mathematical Induction Material.
Marti. (2010). Media and Teaching Aids in Mathematics Learning. Bandung: Alfabeta.
Mesrawati Ndruru. (2024). Analysis of Class VIII Students' Understanding of Mathematical Concepts at SMP Negeri 1 Ulususua on Cartesian Coordinate Material. Afore: Journal of Mathematics Education, 3(1), 113-126. https://doi.org/10.57094/afore.v3i1.1693
Moleong, Lexy J. (2016). Bandung: PT Remaja Rosdakarya.
Munir. (2010). Discrete Mathematics. Bandung: Informatika Bandung.
Nur, H., Siti, N. L., Shofia, H. (2022). Analysis of Students’ Errors in Solving Mathematical Induction Problems.
Rahmat Penius Halawa. (2024). Analysis of Students' Understanding of Mathematical Concepts on the Pythagorean Theorem Material Based on Learning Motivation in Class VIII at SMP Negeri 1 Lolofitu Moi. Afore: Journal of Mathematics Education, 3(1), 26-40. https://doi.org/10.57094/afore.v3i1.1706
Rinaldi, M. (2005). Discrete Mathematics. Bandung: Informatika Bandung.
Runtukahu, Tombokan, & Selpius Kandou. (2014). Basic Mathematics Learning for Students with Learning Difficulties. Yogyakarta: Ar-Ruzz Media.
Sarumaha, E. R. P. (2023). Development of a Module on Equations and Square Functions to Improve the Mathematical Problem-Solving Capability of Class IX Private Christian SMP BNKP Telukdalam. Afore: Journal of Mathematics Education, 2(2), 69-82. https://doi.org/10.57094/afore.v2i2.1132
Sarumaha, W. F. (2023). Analysis of Mathematical Problem-Solving Abilities on Exponents and Radical Forms Based on Students' Interest in Class IX at SMPS Kristen BNKP Telukdalam for the 2022/2023 Academic Year. Afore: Journal of Mathematics Education, 2(2), 12-26. https://doi.org/10.57094/afore.v2i2.1101
Sihombing, R. (2023). Application of the Problem Based Instruction (PBI) Learning Model on Tube Materials to Improve Student Learning Outcomes. Afore: Journal of Mathematics Education, 2(2), 115-127. https://doi.org/10.57094/afore.v2i2.1135
Soejadi, R. (2020). Directorate General of Higher Education, Ministry of Education and Culture.
Steven, D., & Jeniffer, T. (2002). Qualitative Research Methods. Bandung: ALFABETA CV.
Sugiyono. (2012). Quantitative, Qualitative Research Methods and R&D. Bandung: Alfabeta.
Sugiyono. (2016). Quantitative, Qualitative Research Methods, and R&D. Alfabeta. Bandung.
Suherman, Erman, et al. (2003). Contemporary Mathematics Learning Strategies. Bandung: PT Remaja Rosdakarya.
Sukirman. (2013). Number Theory. Yogyakarta: UNY Press.
Telaumbanua, L. (2023). Development of Learning Modules with Data Presentation Materials to Increase Students’ Interest in Learning. Afore: Journal of Mathematics Education, 2(2), 83-98. https://doi.org/10.57094/afore.v2i2.1134
Tinggih. (1972). Development of Curriculum and Mathematics Learning. Malang: Universitas Negeri Malang.
UU No. 20 on the National Education System, (2003). Assessment of Mathematics Learning. Bandung: PT Refika Aditama.
Published
2024-10-27
How to Cite
Buulolo, E. (2024). ANALYSIS OF STUDENTS’ ABILITY TO USE THE MATHEMATICAL INDUCTION PROOF METHOD IN CLASS XI SMK NEGERI 1 O’O’U. Afore : Jurnal Pendidikan Matematika, 3(2), 61-73. https://doi.org/10.57094/afore.v3i2.2300
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