Deskripsi Kesalahan Siswa dan Scaffoldingnya Dalam Menyederhanakan Pecahan Bentuk Aljabar

Indah Puspitasari Maharani, Sisworo Sisworo, Hendro Permadi


Abstract: The research objectives are (1) describing the mistakes made by students in simplifying fractions of algebraic forms and (2) describing the scaffolding given to overcome student errors. The subjects in this study were UM Lab High School students in the XI IPS class who made mistakes in completing the test. The research subjects studied were 2 students categorized in the low ability category. This type of research is descriptive qualitative. Data obtained through tests and interviews. The results showed that (1) the mistakes made by students in simplifying the algebraic fractions consisted of errors in denominator equations, errors in algebraic operations, errors in algebraic factoring and errors in simplified algebraic fractions and (2) scaffolding given based on errors in point one is explaining, reviewing and restructuring and developing conceptual thinking.

Abstrak: Tujuan penelitian adalah (1) mendeskripsikan kesalahan yang dilakukan oleh siswa dalam menyederhanakan pecahan bentuk aljabar dan (2) mendeskripsikan scaffolding yang diberikan untuk mengatasi kesalahan siswa. Subjek dalam penelitian ini adalah siswa SMA Lab UM kelas XI IPS yang melakukan kesalahan dalam menyelesaikan tes. Subjek penelitian yang diteliti sebanyak 2 siswa yang dikategorikan dalam kategori kemampuan rendah. Jenis penelitian ini adalah kualitatif deskriptif. Data yang diperoleh melalui tes dan wawancara. Hasil penelitian menunjukan bahwa (1) kesalahan yang dilakukan siswa dalam menyederhanakan pecahan bentuk aljabar terdiri dari kesalahan pada penyamaan penyebut, kesalahan pada operasi aljabar, kesalahan pada pemfaktoran aljabar dan kesalahan pada penyederhanaan pecahan aljabar dan (2) scaffolding yang diberikan berdasarkan kesalahan pada poin satu adalah explaining, reviewing dan restructuring serta developing conceptual thinking.


description of student error; procedural and conceptual error; fractional algebraic form; scaffolding deskripsi kesalahan siswa; kesalahan prosedural dan konseptual; pecahan bentuk aljabar; scaffolding

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Anghileri, J. (2006). Scaffolding Practices that Enhance Mathematics Learning. Journal of Mathematics Teacher Education, 9(1), 33–52.

Bentley, B., & Bossé, M. J. (2018). College Students’ Understanding of Fraction Operations. International Electronic Journal of Mathematics Education, 13(3), 233–247.

Brodie, K. (2014). Learning about Learner Errors in Professional Learning Communities. Educational Studies in Mathematics, 85(2), 221–239.

Creswell, J. W. (2012). Research Design Pendekatan Kualitatif, Kuantitatif dan Mixed (Cetakan ke-2). Yogyakarta: Pustaka Pelajar.

Davis, E. A. (2015). Scaffolding Learning. Encyclopedia of Science Education, 21(2), 362–364.

DeWolf, M & Vosniadou, S. (2011). The Whole Number in Fraction Magnitude Comparisons with Adults. Proceedings of the Annual Meeting of the Cognitive Science Society, 66–67. Athens, Greece: California Digital Library.

Egodawatte, G., & Stoilescu, D. (2015). Grade 11 Students’ Interconnected Use of Conceptual Knowledge, Procedural Skills, and Strategic Competence in Algebra: A Mixed Method Study of Error Analysis. European Journal of Science and Mathematics Education, 3(3), 289–305.

Hidayanto, E. (2013). Proses Berpikir Aritmetika dan Berpikir Aljabar Siswa Dalam Menyelesaikan Soal Cerita. Prosiding Seminar Nasional Aljabar dan Pembelajarannya, (April), 173–177. UM.

Ito, T. (2017). Effectiveness of Math in College Remedial Mathmatics Students. University Nevada.

Kieran, C. (2004). Algebraic Thinking in the Early Grades: What Is It? 1. The Mathematics Educator, 8(1), 139–151.

Maharani, I. P., & Subanji, S. (2018). Scaffolding Based on Cognitive Conflict in Correcting the Students’ Algebra Errors. International Electronic Journal of Mathematics Education, 13(2), 67–74.

Misquitta, R. (2011). A Review of the Literature: Fraction Instruction for Struggling Learners in Mathematics. Learning Disabilities Research & Practice, 26(2), 109–119.

Moleong, L. J. (2014). Metode Penelitian Kualitatif Edisi Revisi. Bandung: Remaja Rosdakarya.

Rushton. N. (2014). Common Errors in Mathematics. Research Matters: A. Research Matters. Cambridge Assesment Publication. Retrieved from

Ryan, J., & McCrae, B. (2005). Subject Matter Knowledge: Mathematical Errors and Misconceptions of Beginning Pre-Service Teachers. Proceedings of the 29th Annual Conference of the International Group for the Psychology of Mathematics Education, 641–648.

Sarwadi, H.R.H & Shahrill, M. (2014). Understanding Students’ Mathematical Errors and Misconceptions: The Case of Year 11 Repeating Students. Mathematics Education Trends and Research, 2014(September), 1–10.

Selden, A., & Selden, J. (2009). Reflections on Foundations for Success: The Final Report of the National Mathematics Advisory Panel. The College Mathematics Journal, 40(4), 318.

Siegler, R. S., Thompson, C. A., & Schneider, M. (2011). An Integrated Theory of Whole Number and Fractions Development. Cognitive Psychology, 62(4), 273–296.

Tariq, V. (2008). Defining the Problem: Mathematical Errors and Misconceptions Exhibited by First-Year Bioscience undergraduates. International Journal of Mathematical Education in Science and Technology, 39(7), 889–904. 10.1080/00207390802136511

Walle, J. A. Van de. (2009). Matematika Sekolah Dasar dan Menengah (jilid 2). Jakarta: Erlangga.



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