Mathematics Teachers’ Interviewing Strategies for Diagnosing Students’ Learning Obstacles
DOI:
https://doi.org/10.23887/jpiundiksha.v12i2.57042Keywords:
learning obstacle, diagnose strategies, reflective practiceAbstract
The teachers' awareness of students' learning obstacles is crucial in the reflective practice of developing effective didactic designs. The reflective practice of in-service Indonesian mathematics teachers in diagnosing students' learning obstacles is rising. However, despite the importance of diagnosing students’ learning obstacles for developing the teaching profession, there is little research evidence supporting strategies for mathematics teachers in Indonesia in diagnosing student learning barriers through the interview process. The purpose of this study is to analyze the interviewing strategies that mathematics teachers use in order to diagnose students’ learning obstacles. This research is a qualitative case study and employs thematic-content analysis. In-service high school mathematics teachers from three provinces in Indonesia to participate in this study. This study used video recordings of teachers conducting interviews to investigate students' learning obstacles, triangulated with teachers' reports. This findings show that the teachers' two main strategies are social-emotional and didactical-pedagogical strategies. This study present our expanded explanation of each strategy, as well as some suggestions for further research, intending to assist in establishing a culture of reflective practice among mathematics teachers as part of teachers' professional development.
References
Aldrup, K., Klusmann, U., & Lüdtke, O. (2019). Reciprocal associations between students’ mathematics anxiety and achievement: Can teacher sensitivity make a difference? Journal of Educational Psychology. https://doi.org/10.1037/edu0000398.
Ardiansari, L., Suryadi, D., & Dasari, D. (2020). The concept image of students and teachers about the equal sign. Universal Journal of Educational Research, 8(12), 6751–6764. https://doi.org/10.13189/ujer.2020.081240.
Artigue, M., Haspekian, M., & Corblin-Lenfant, A. (2014). Introduction to the Theory of Didactical Situations (TDS). In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of Theories as a Research Practice in Mathematics Education (pp. 47–65). Springer International Publishing. https://doi.org/10.1007/978-3-319-05389-9.
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59, 389–407. https://doi.org/10.1177/0022487108324554.
Brousseau, G. (2002). Theory of Didactical Situations in Mathematics (N. Balacheff, M. Cooper, R. Sutherland, & V. Warfield (eds. & trans.)). Kluwer Academic Publishers.
Buck, M. F. (2017). Gamification of Learning and Teaching in Schools – A Critical Stance. Seminar.Net, 13(1). https://doi.org/10.7577/seminar.2325.
Cebollero-Salinas, A., Cano-Escoriaza, J., & Orejudo, S. (2022). Social Networks, Emotions, and Education: Design and Validation of e-COM, a Scale of Socio-Emotional Interaction Competencies among Adolescents. Sustainability (Switzerland), 14(5). https://doi.org/10.3390/su14052566.
Chernikova, O., Heitzmann, N., Fink, M. C., Timothy, V., Seidel, T., & Fischer, F. (2020). Facilitating diagnostic competences in higher education—a meta-analysis in medical and teacher education. Educational Psychology Review, 32(1), 157–196. https://doi.org/10.1007/s10648-019-09492-2.
D’Mello, S., Lehman, B., Pekrun, R., & Graesser, A. (2014). Confusion can be beneficial for learning. Learning and Instruction, 29, 153–170. https://doi.org/10.1016/j.learninstruc.2012.05.003.
Dennis, M. S., Sharp, E., Chovanes, J., Thomas, A., Burns, R. M., Custer, B., & Park, J. (2016). A meta-analysis of empirical research on teaching students with mathematicslearning difficulties. Learning Disabilities Research and Practice, 1–13. https://doi.org/10.1111/ldrp.12107.
Dignath, C., & Büttner, G. (2018). Teachers’ direct and indirect promotion of self-regulated learning in primary and secondary school mathematics classes – insights from video-based classroom observations and teacher interviews. Metacognition and Learning, 13(2), 127–157. https://doi.org/10.1007/s11409-018-9181-x.
Effendi, L. A. (2012). Pembelajaran Matematika dengan Metode Penemuan Terbimbing Untuk Meningkatkan Kemampuan Representasi dan Pemecahan Masalah Matematis Siswa SMP. Jurnal Penelitian Pendidikan, 13(2), 1–10. http://jurnal.upi.edu/file/Leo_Adhar.pdf.
Fischer, F., Kollar, I., Ufer, S., Sodian, B., Hussmann, H., Pekrun, R., Neuhaus, B., Dorner, B., Pankofer, S., Fischer, M., Strijbos, J.-W., Heene, M., & Eberle, J. (2014). Scientific reasoning and argumentation: Advancing an interdisciplinary research agenda in education. Frontline Learning Research, 2(3), 28–45. https://doi.org/10.14786/flr.v2i3.96.
Götz, D., & Gasteiger, H. (2022). Reflecting geometrical shapes: approaches of primary students to reflection tasks and relations to typical error patterns. Educational Studies in Mathematics, 111(1), 47–71. https://doi.org/10.1007/s10649-022-10145-5
Herman, T., Prabawanto, S., & Suryadi, D. (2022). Implementasi Proleco-DDR untuk mengembangkan kemampuan profesional guru SD dalam pembelajaran matematika di Kabupaten Ciamis. PRISMA, 11(2), 576–584. https://doi.org/10.35194/jp.v11i2.2585.
Isnawan, M. G., Suryadi, D., & Turmudi, T. (2022). How secondary students develop the meaning of fractions? A hermeneutic phenomenological study. Beta: Jurnal Tadris Matematika, 15(1), 1–19. https://doi.org/10.20414/betajtm.v15i1.496.
Jatisunda, M. G., Suciawati, V., Nahdi, D. S., & Cahyaningsih, U. (2022). Pre-service mathematics teachers’ professional competency development through analysis of learning obstacles. EduMa Mathematics Education Learning and Teaching, 11(2), 180–190. https://doi.org/10.24235/eduma.v11i2.9277.
Jessup, N. A., Wolfe, J. A., & Kalinec-Craig, C. (2021). Rehumanizing mathematics education and building community for online learning. In K. Hollebrands, R. Anderson, & K. Oliver (Eds.), Online Learning in Mathematics Education (pp. 95–113). Springer Nature Switzerland AG. https://doi.org/10.1007/978-3-030-80230-1_5.
Kandaga, T., Rosjanuardi, R., & Juandi, D. (2022). Epistemological obstacle in transformation geometry based on van Hiele’s level. Eurasia Journal of Mathematics, Science and Technology Education, 18(4). https://doi.org/10.29333/ejmste/11914.
Khoule, A., Bonsu, N. O., & Houari, H. El. (2017). Impact of conceptual and procedural knowledge on students mathematics anxiety. International Journal of Educational Studies in Mathematics, 4(1), 8–18. https://dergipark.org.tr/en/pub/ijesim/issue/34535/381574.
Kidron, I. (2018). Students’ conceptions of irrational numbers. International Journal of Research in Undergraduate Mathematics Education, 4(1), 94–118. https://doi.org/10.1007/s40753-018-0071-z.
Kiemer, K., Gröschner, A., Pehmer, A. K., & Seidel, T. (2015). Effects of a classroom discourse intervention on teachers’ practice and students’ motivation to learn mathematics and science. Learning and Instruction, 35, 94–103. https://doi.org/10.1016/j.learninstruc.2014.10.003.
Kiger, M. E., & Varpio, L. (2020). Thematic analysis of qualitative data: AMEE Guide No. 131. Medical Teacher. https://doi.org/10.1080/0142159X.2020.1755030.
Kokka, K. (2022). Toward a theory of affective pedagogical goals for social justice mathematics. Journal for Research in Mathematics Education, 53(2), 133–153. https://doi.org/10.5951/jresematheduc-2020-0270.
Larrain, M., & Kaiser, G. (2022). Interpretation of students ’ errors as part of the diagnostic competence of pre-service primary school teachers. Journal Für Mathematik-Didaktik, 43, 39–66. https://doi.org/10.1007/s13138-022-00198-7.
Lazarides, R., Gaspard, H., & Dicke, A. L. (2019). Dynamics of classroom motivation: Teacher enthusiasm and the development of math interest and teacher support. Learning and Instruction, 60, 126–137. https://doi.org/10.1016/j.learninstruc.2018.01.012.
Liu, K. (2020). Critical Reflection for Transformative Learning. Springer. https://doi.org/10.1007/978-3-319-01955-0_7.
Lozano-Peña, G., Sáez-Delgado, F., López-Angulo, Y., & Mella-Norambuena, J. (2021). Teachers’ social–emotional competence: history, concept, models, instruments, and recommendations for educational quality. Sustainability, 13(12142). https://doi.org/10.3390/su132112142.
Lundberg, A. L. V., & Kilhamn, C. (2018). Transposition of knowledge: Encountering proportionality in an algebra task. International Journal of Science and Mathematics Education, 16(3), 559–579. https://doi.org/10.1007/s10763-016-9781-3.
Maknun, C. L. L. Il, Rosjanuardi, R., & Jupri, A. (2022). Epistemological obstacle in learning trigonometry. Mathematics Teaching-Research Journal, 14(2), 5–25. https://eric.ed.gov/?id=EJ1350528.
Marfuah, M., Suryadi, D., Turmudi, T., & Dahlan, J. A. (2023). Matrix algebra in high school: Didactic transposition to the regular and the emergency COVID-19 outbreak curriculum. The 8th International Conference on Research Implementation and Education of Mathematics and Science (ICRIEMS 2021), 2556(050013). https://doi.org/10.1063/5.0109906.
Marfuah, M., Suryadi, D., Turmudi, T., & Isnawan, M. G. (2022). Providing online learning situations for in-service mathematics teachers’ external transposition knowledge during COVID-19 pandemic: Case of Indonesia. Electronic Journal of E-Learning, 20(1), 69–84. https://doi.org/10.34190/ejel.20.1.2388.
Marshall, T., Keville, S., Cain, A., & Adler, J. R. (2021). On being open-minded, wholehearted, and responsible: A review and synthesis exploring factors enabling practitioner development in reflective practice. Reflective Practice, 22(6), 860–876. https://doi.org/10.1080/14623943.2021.1976131.
Murray, E. (2015). Improving teaching through collaborative reflective teaching cycles. Investigations in Mathematics Learning, 7(3), 23–29. https://doi.org/10.1080/24727466.2015.11790343.
Nopriana, T., Herman, T., & Martadiputra, B. A. P. (2023). Digital didactical design: The role of learning obstacles in designing combinatorics digital module for vocational students. International Journal of Interactive Mobile Technologies (IJIM), 17(02), 4–23. https://doi.org/10.3991/ijim.v17i02.34293.
Novita, R., Herman, T., Dasari, D., & Putra, M. (2022). Analyzing second-year university students’ rational number understanding: A Case on interpreting and representing fraction. European Journal of Educational Research, 11(3), 1747–1762. https://doi.org/10.12973/eu-jer.11.3.1747.
Nurhikmayati, I., Jatisunda, M. G., & Ratnawulan, N. (2022). The practice of reflection based on Didactical Design Research: An analysis of the geometry transformation material. Jurnal Teori Dan Aplikasi Matematika, 6(3), 565–580. https://doi.org/10.31764/jtam.v6i3.8441.
Nurwahyu, B., Tinungki, G. M., & Mustangin. (2020). Students’ concept image and its impact on reasoning towards the concept of the derivative. European Journal of Educational Research, 9(4), 1723–1734. https://doi.org/10.12973/eu-jer.9.4.1723.
Park, M., Yi, M., Flores, R., & Nguyen, B. (2020). Informal formative assessment conversations in mathematics: Focusing on preservice teachers’ initiation, response and follow-up sequences in the classroom. Eurasia Journal of Mathematics, Science and Technology Education, 16(10). https://doi.org/10.29333/EJMSTE/8436.
Parwati, N. N., & Suharta, I. G. P. (2020). Effectiveness of the implementation of cognitive conflict strategy assisted by e-service learning to reduce students’ mathematical misconceptions. International Journal of Emerging Technologies in Learning, 15(11), 102–118. https://doi.org/10.3991/IJET.V15I11.11802.
Puspita, E., Suryadi, D., & Rosjanuardi, R. (2022). Learning obstacles of prospective mathematics teacher students on the concept of chain rules and alternative didactic designs. Journal of Engineering Science and Technology, 9–16. https://jestec.taylors.edu.my/Special Issue ICMScE2022/ICMScE2022_02.pdf.
Rohati, R., Kusumah, Y. S., Kusnandi, K., & Marlina, M. (2022). How teachers encourage students’ mathematical reasoning during the COVID-19 pandemic? Jurnal Pendidikan Indonesia, 11(4). https://doi.org/10.23887/jpiundiksha.v11i4.52756.
Rosa, M., & Orey, D. (2011). Ethnomathematics: the cultural aspects of mathematics. Revista Latinoamericana de Etnomatemática, 4(2), 32–54. http://funes.uniandes.edu.co/3079.
Ryan, M., Taylor, M., Barone, A., Pesca, L. Della, Durgana, S., Ostrowski, K., Piccirillo, T., & Pikaard, K. (2016). Teacher as researcher, teacher as scholar, and teacher as leader. New Educator, 13. https://doi.org/10.1080/1547688X.2016.1144120.
Suryadi, D. (2019). Landasan Filosofis Penelitian Desain Didaktis (DDR). Pusat Pengembangan DDR Indonesia.
Theis, R., Junita, R., Kamid, & Iriani, D. (2022). Diagnostic tests based on three level tests on fixed materials for students with misconceptions. Jurnal Pendidikan Indonesia, 11(4). https://doi.org/10.23887/jpiundiksha.v11i4.50452.
Wahyuningrum, A. S., Suryadi, D., & Turmudi, T. (2023). Students’ prior knowledge as an ontogenic obstacle on the topic of ratio and proportion. Jurnal Pendidikan Matematika, 17(1). https://doi.org/10.22342/jpm.17.1.18866.55-68.
Wijaya, A., Retnawati, H., Setyaningrum, W., Aoyama, K., & Sugiman. (2019). Diagnosing students’ learning difficulties in the eyes of Indonesian mathematics teachers. Journal on Mathematics Education, 10(3), 357–364. https://doi.org/10.22342/jme.10.3.7798.357-364.
Yin, R. K. (2018). Case Study Research and Applications: Design and Methods (6th ed.). SAGE.
Yolcu, A. (2019). Research on equitable mathematics teaching practices: Insights into its divergences and convergences. Review of Education, 7(3), 701–730. https://doi.org/10.1002/rev3.3163.
Yu, R., & Singh, K. (2016). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. The Journal of Educational Research, 81–94. https://doi.org/10.1080/00220671.2016.1204260.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Marfuah Marfuah, Didi Suryadi, Turmudi Turmudi
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with the Jurnal Pendidikan Indnesia agree to the following terms:
- Authors retain copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-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. (See The Effect of Open Access)