STUDENTS’ ERROR ANALYSIS IN SOLVING PROBABILITY STORY QUESTIONS BASED ON REVISED NEWMAN THEOREM
Abstract
Generally, students still need help working on story-shaped questions. This error is natural, but if it continues, it will harm the mastery of the next material. The ability to solve story questions is closely related to numeracy skills, therefore knowing the location of the difficulties using the revised Newman theorem and the causal factors will help students achieve higher learning outcomes. This research was a quantitative descriptive approach, with the research subjects of junior high school students as many as 152 students. The instruments used were diagnostic tests and questionnaires. Each had an estimated reliability of 0.701 and 0.705 with good qualifications. The results show that students' most frequent types of errors in solving story questions on empirical and theoretical probabilities were 43% transformation errors, 36% comprehension errors, 15% process skill errors and encoding errors by 6%. The specific factors of student errors are not thorough students, being in a hurry, having difficulty understanding the questions, did not master the material, forgetting the formula, hesitating in determining the formula, not re-check the answers, and were unable to write the final project answers/conclusions. Interest and motivation factors as well as society factors are the general factors that most influence the mistakes made by students
Downloads
References
Ackland, A. (2014). More … or less ? Towards a critical pedagogy of Adult Numeracy. An International Journal. 9(2): 7–21.
Alhassora, N. S. A., Abu, M. S., & Abdullah, A. H. (2017). Newman error analysis on evaluating and creating thinking skills. India. 19(97): 413–427.
Arikunto, S. (2012). Dasar-dasar kependidikan Edisi 2 [Educational basics Edition 2]. Jakarta. Bumi Aksara.
Ashlock, R. B., Johnson, M. L., Wilson, J. W., & Jones, W. L. (1980). Guiding each child’s learning of mathematics: A diagnostic approach to instruction. Columbus. Bell & Howell Company.
Askury, A. (2009). Kesulitan belajar matematika permasalahan dan alternatif pemecahannya. matematika [Difficulty learning math problems and alternative solutions]. Matematika. 5(2).
Awofala, A. O. A. (2017). Effect of personalisation of instruction on students’ anxiety in mathematical word problems in Nigeria. Bulgarian Journal of Science and Education Policy. 11(1): 83–120.
Budiyono, B. (2008). Kesalahan mengerjakan soal cerita dalam pembelajaran matematika [Errors in doing story questions in learning mathematics]. Paedagogia. 11(1): 1–8.
Clements, M. A., & Ellerton, N. F. (1996). Mathematics education research: Past, present and future. Bangkok. UNESCO Principal Regional Office for Asia and the Pacific.
Decristan, J., Klieme, E., Kunter, M., Hochweber, J., Büttner, G., Fauth, B., Hondrich, A. L., Rieser, S., Hertel, S., & Hardy, I. (2015). Embedded formative assessment and classroom process quality: How do they interact in promoting science understanding? American Educational Research Journal. 52(6): 1133–1159.
Depdiknas. (2002). Pedoman usulan penelitian tindakan kelas [Classroom action research proposal guidelines]. Jakarta. Direktorat Pembinaan Penelitian dan Pengabdian pada Masyarakat.
Depdiknas. (2007). Pedoman pengembangan tes diagnostik mata pelajaran IPA SMP/MTs [Guidelines for developing diagnostic tests for science subjects for SMP/MTs]. Jakarta. Departemen Pendidikan Nasional.
Gasco, J., & Villarroel, J.-D. (2014). The motivation of secondary school students in mathematical word problem solving. Electronic Journal of Research in Educational Psychology.
Guilford, J. P. (1956). The Guilford-Zimmerman Aptitude Survey. Personnel & Guidance Journal.
HodnikČadež, T., & Škrbec, M. (2011). Understanding the concepts in probability of pre-school and early school children. Eurasia Journal of Mathematics, Science and Technology Education. 7(4): 263–279.
Jha, S. K. (2012). Mathematics performance of primary school students in Assam (India): An analysis using Newman Procedure. International Journal of Computer Applications in Engineering Sciences. 2(1): 17–21.
Kemendikbud. (2019). Laporan hasil Ujian Nasional. Pusat Penilaian Pendidikan Kementrian Pendidikan dan Kebudayaan [Report on the results of the National Examination. Center for Educational Assessment of the Ministry of Educational and Culture]. https://hasilun.puspendik.kemdikbud.go.id
Kemendikbud. (2020). Desain pengembangan soal AKM [AKM question development design]. Badan Penelitian dan Pengembangan dan Perbukuan Kementrian Pendidikan dan Kebudayaan.
Khiyarunnisa, A. (2019). Konstruksi tes diagnostik untuk mengungkap kesalahan siswa dalam menyelesaikan soal matematika tingkat SMA [Construction of a diagnostic test to uncover student errors in solving high school math problems]. Universitas Negeri Yogyakarta.
Kikas, E., Mädamürk, K., & Palu, A. (2020). What role do comprehension‐oriented learning strategies have in solving math calculation and word problems at the end of middle school? British Journal of Educational Psychology. 90: 105–123.
Legutko, M. (2008). An analysis of students’ mathematical errors in the teaching-research process. Handbook for Mathematics Teaching: Teacher Experiment. A Tool for Research,. pp. 141–152.
Magno, C., & Lizada, G. S. (2015). Features of classroom formative assessment. Educational Measurement and Evaluation Review. 6: 23-31.
Mubair, A. (2011). Permasalahan belajar dan inovasi pembelajaran: Panduan untuk guru, konselor, psikolog, orang tua dan tenaga kependidikan [Learning problems and learning innovations: A guide for teachers, conselors, psychologists, parents and education personnel]. Bandung: PT Refika Aditama.
Naresh, N., Harper, S. R., Keiser, J. M., & Krumpe, N. (2014). Probability explorations in a multicultural context. The Mathematics Teacher. 108(3): 184–192.
Raharjo, M., Ekawati, E., & Rudianto, Y. (2009). Pembelajaran soal cerita di SD [Learning story questions in Elementary School]. Yogyakarta. PPPPTK Matematika.
Raharjo, M., & Waluyati, A. (2011). Modul matematika SD program BERMUTU: Pembelajaran soal cerita operasi hitung campuran di sekolah dasar [Elementary mathematics module BERMUTU program: Learning about mixed arithmetic operations story questions in Elementary School]. Yogyakarta. PPPPTK Matematika.
Satori, D., & Komariah, A. (2014). Metodologi penelitian pendidikan [Educational research methodology]. Jakarta. Bumi Aksara.
Stoica, A. (2015). Using math projects in teaching and learning. Procedia-Social and Behavioral Sciences. 180: 702–708.
Templin, J., & Henson, R. A. (2010). Diagnostic measurement: Theory, methods, and applications. New York. Guilford Press.
Widoyoko, E. P. (2009). Evaluasi program pembelajaran [Evaluation of learning programs]. Yogyakarta: Pustaka Pelajar. pp. 238.
Wijaya, A., van den Heuvel-Panhuizen, M., Doorman, M., & Robitzsch, A. (2014). Difficulties in solving context-based PISA mathematics tasks: An analysis of students’ errors. The Mathematics Enthusiast. 11(3): 555–584.
Copyright (c) 2022 Dyah Nirmala Sani, R Rosnawati
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal. Please also carefully read Jurnal Pendidikan Matematika (Jupitek) Posting Your Article Policy.
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Copyright
Authors who publish with Jurnal Pendidikan Matematika (Jupitek) agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-NC-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.