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Abstract
Data visualization and interpretation are important statistical literacy skills for prospective mathematics teachers. Intervention in the learning process can be done by designing Hypothetical Learning Trajectory (HLT) and integrating local wisdom which can develop students' statistical literacy skills. This research aimed to describe the HLT design with the topic of data visualization using the local wisdom of South Sumatra through hybrid learning. The method used was design research, with three stages, namely: preparation for the experiment, the design experiment, and the retrospective analysis. In this study, the design experiment was carried out at the pilot experiment stage. A total of 10 students from the mathematics education study program participated in this research. Data was collected through observation, interviews, and documentation. The HLT was compared with the Actual Learning Trajectory (ALT) that occurred in the class. The results of the research show that students can be given contextual problems using the local wisdom context of South Sumatra, explore data visualization in various forms of data presentation, and interpret data from the visualization that have been created. Data visualization can help students understand and interpret data better.
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References
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- Forbes, S., Jeanette Chapman, vuwacnz, Harraway, J., & Stirling, D. (2014). Use of Data Visualization in The Teaching Of Statistics: A New Zealand Perspective. Statistics Education Research Journal, 13(2), 187–201. http://www.google.com/earth/index.html
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- Irianto, A. (2015). Statistics: Basic Concepts, Applications and Development (4th ed.) [in Bahasa]. Prenadamedia Group.
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- Moore, D. S. (1997). New pedagogy and new content: The case of statistics. International Statistical Review, 65(2), 123–137. https://doi.org/10.1111/j.1751-5823.1997.tb00390.x
- Muñiz-Rodríguez, L., Rodríguez-Muñiz, L. J., & Alsina, Á. (2020). Deficits in the statistical and probabilistic literacy of citizens: Effects in a world in crisis. Mathematics, 8(11), 1–20. https://doi.org/10.3390/math8111872
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- Revina, S. (2022). Numeracy Learning in Elementary Schools (A. A. Nadhiva, Ed.; 1st ed.) [in Bahasa]. Tangga edu.
- Rose, S. M. (2017). Introductory Statistics. In Elsevier Inc. (Fourth). Elsevier Inc.
- Rumsey, D. J. (2002). Statistical literacy as a goal for introductory statistics courses. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910678
- Sansone, K. L. (2015). Using Strategies from Graphic Design to Improve Teaching and Learning. In D. M. Baylen & A. D’Alba (Eds.), Essentials of Teaching and Integrating Visual and Media Literacy (1st ed., pp. 3–26). Springer International Publishing. https://doi.org/10.1007/978-3-319-05837-5_1
- Setiani, N. W., & Suyitno, A. (2021). Data Reading Ability and Students' Curiosity Regarding Statistical Literacy Ability [in Bahasa]. QALAMUNA: Jurnal Pendidikan, Sosial, Dan Agama, 13(2), 257–270. https://doi.org/10.37680/qalamuna.v13i2.915
- Setiawan, E. P., & Sukoco, H. (2021). Exploring First year University Students’ Statistical Literacy: A Case on Describing and Visualizing Data. Journal on Mathematics Education, 12(3), 427–448. https://doi.org/10.22342/JME.12.3.13202.427-448
- Setiawan, E. P., Sukoco, H., Reviana, A., & Agustyani, D. (2023). Developing Statistical Literacy Through Tasks: An Analysis of Secondary School Mathematics Textbooks. Jurnal Pendidikan Matematika, 17(2), 247–264. https://doi.org/10.22342/jpm.17.2.2023.247-264
- Sharma, S. (2017). Definitions and models of statistical literacy: a literature review. Open Review of Educational Research, 4(1), 118–133. https://doi.org/10.1080/23265507.2017.1354313
- Sinaga, T. M. (2022, November 15). Educating Students as Assets for the Nation's Future [in Bahasa]. Kompas. https://www.kompas.id/baca/humaniora/2022/11/15/mendidik-siswa-sebagai-aset-masa-depan-bangsa?utm_source=external_kompascom&utm_medium=berita_terkini&utm_campaign=kompascom
- Tiro, M. A. (2018a). National Movement for Statistical Literacy in Indonesia: An Idea. Journal of Physics: Conference Series, 1028(1). https://doi.org/10.1088/1742-6596/1028/1/012216
- Tiro, M. A. (2018b). Action Strategy for the National Movement for Statistical Literacy in Indonesia [in Bahasa]. Proceedings of the Seminar Nasional Variansi (Venue Artikulasi-Riset, Inovasi, Resonansi-Teori, dan Aplikasi Statistika), 2018, 1–21. https://ojs.unm.ac.id/variansistatistika/article/view/7193
- Utari, R. S., Zulkardi, Putri, R. I. I., & Susanti, E. (2023). Development of Statistical Literacy Questions for Prospective Mathematics Teachers. Inovasi Matematika (Inomatika), 5(1), 1–15. https://doi.org/10.35438/inomatika
- Watson, J. M. (2011). Foundations for improving statistical literacy. Statistical Journal of the IAOS, 27(3–4), 197–204. https://doi.org/10.3233/SJI-2011-0728
- Weiland, T. (2017). Problematizing statistical literacy: An intersection of critical and statistical literacies. Educational Studies in Mathematics, 96(1), 33–47. https://doi.org/10.1007/s10649-017-9764-5
References
Aristika, A., Darhim, Juandi, D., & Kusnandi. (2021). The Effectiveness of Hybrid Learning in Improving of Teacher-Student Relationship in Terms of Learning Motivation. Emerging Science Journal, 5(4), 443–456. https://doi.org/10.28991/esj-2021-01288
Bakker, A. (2018). Design Research in Education. In Design Research in Education (1st ed.). Routledge. https://books.google.com/books/about/Design_Research_in_Education.html ?id=6jhjDwAAQBAJ
Ben-Zvi, D. (2020). Data Handling and Statistics Teaching and Learning. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (2nd Editio, pp. 177–180). Springer. https://doi.org/10.1007/978-3-030-15789-0
Cahyono, A. N., & Asikin, M. (2019). Hybrid Learning in Mathematics Education: How Can It Work? Journal of Physics: Conference Series, 1321(3). https://doi.org/10.1088/1742-6596/1321/3/032006
Forbes, S., Jeanette Chapman, vuwacnz, Harraway, J., & Stirling, D. (2014). Use of Data Visualization in The Teaching Of Statistics: A New Zealand Perspective. Statistics Education Research Journal, 13(2), 187–201. http://www.google.com/earth/index.html
Gal, I. (2004). Statistical literacy: meanings, components and responsibilities. The Challenge of Developing Statistical Literacy, Reasoning and Thinking, 47–78. https://doi.org/10.1007/1-4020-2278-6_3
Gal, I. (2019). Understanding statistical literacy: About knowledge of contexts and models. Actas Del Tercer Congreso Internacional Virtual de Educación Estadística, 1–15. http://digibug.ugr.es/bitstream/handle/10481/55029/gal.pdf?sequence=1&isAllowed=y
Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In Akker, Jan van den., Gravemeijer, Koeno., McKenney, Susan., & Nieeven, Nienke. (Ed.), Educational Design Research (pp. 29–63). Routledge. https://doi.org/10.4324/9780203088364-12
Hakami, M. (2020). Using Nearpod as a Tool to Promote Active Learning in Higher Education in a BYOD Learning Environment. Journal of Education and Learning, 9(1), 119. https://doi.org/10.5539/jel.v9n1p119
Hartono, Y. (2017). Basic Statistics in the Education Study Program [in Bahasa]. Jurnal Pendidikan Matematika, 3(2), 93–102.
Heuvel-panhuizen, M. Van Den, Drijvers, P., Education, M., Sciences, B., & Goffree, F. (2014). Realistic Mathematics Education. In Encyclopedia of Mathematics Education (pp. 521–532). https://doi.org/10.1007/978-94-007-4978-8
Idris, K. (2019). Statistical Literacy Based on Cultural and Islamic Contexts: Perspectives of PTKI Lecturers and Students [in Bahasa]. Proceedings of the Seminar Nasional IItegrasi Matematika Dan Nilai Islami, 3(1), 357–362. https://garuda.kemdikbud.go.id/documents/detail/1474371
Irianto, A. (2015). Statistics: Basic Concepts, Applications and Development (4th ed.) [in Bahasa]. Prenadamedia Group.
Kemdikbud (2022). Minister of Education and Culture Regulation Number 13 of 2022 concerning Amendments to Regulation of the Minister of Education and Culture Number 22 of 2020 concerning the Strategic Plan of the Ministry of Education and Culture for 2020-2024 [in Bahasa].https://www.kemdikbud.go.id/main/index.php/tentang-kemdikbud/rencana-strategis-renstra
Komar, S., Mulyono, B., & Hapizah, H. (2022). Geogebra-Based Mathematics Learning Application Design on Transformation Material with the Context of Palembang's Local Wisdom [in Bahasa]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(4), 3139. https://doi.org/10.24127/ajpm.v11i4.6170
Lestariningsih, E. (2022, August 24). Statistical Literacy for Development [in Bahasa]. BPSDMTV KEMENDAGRI. https://www.youtube.com/watch?v=CUxg9VIFr4E&t=6738s
Moore, D. S. (1997). New pedagogy and new content: The case of statistics. International Statistical Review, 65(2), 123–137. https://doi.org/10.1111/j.1751-5823.1997.tb00390.x
Muñiz-Rodríguez, L., Rodríguez-Muñiz, L. J., & Alsina, Á. (2020). Deficits in the statistical and probabilistic literacy of citizens: Effects in a world in crisis. Mathematics, 8(11), 1–20. https://doi.org/10.3390/math8111872
Nurlaelah, E., Sudihartinih, E., & Gozali, S. M. (2023). Development of Digital Teaching Materials for Hybrid Learning in Group Theory Courses [in Bahasa]. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(1), 604–614. https://doi.org/10.31004/cendekia.v7i1.1954
Pratt, D., Davies, N., & Connor, D. (2011). The Role of Technology in Teaching and Learning Statistics. New ICMI Study Series, 14, 97–107. https://doi.org/10.1007/978-94-007-1131-0_13
Putri, R. I. I., Dolk, M., & Zulkardi. (2015). Professional Development of PMRI Teachers for Introduction Social Norm. Journal on Mathematics Education, 6(1), 11–19. https://doi.org/dx.doi.org/10.22342/jme.61.11
Revina, S. (2022). Numeracy Learning in Elementary Schools (A. A. Nadhiva, Ed.; 1st ed.) [in Bahasa]. Tangga edu.
Rose, S. M. (2017). Introductory Statistics. In Elsevier Inc. (Fourth). Elsevier Inc.
Rumsey, D. J. (2002). Statistical literacy as a goal for introductory statistics courses. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910678
Sansone, K. L. (2015). Using Strategies from Graphic Design to Improve Teaching and Learning. In D. M. Baylen & A. D’Alba (Eds.), Essentials of Teaching and Integrating Visual and Media Literacy (1st ed., pp. 3–26). Springer International Publishing. https://doi.org/10.1007/978-3-319-05837-5_1
Setiani, N. W., & Suyitno, A. (2021). Data Reading Ability and Students' Curiosity Regarding Statistical Literacy Ability [in Bahasa]. QALAMUNA: Jurnal Pendidikan, Sosial, Dan Agama, 13(2), 257–270. https://doi.org/10.37680/qalamuna.v13i2.915
Setiawan, E. P., & Sukoco, H. (2021). Exploring First year University Students’ Statistical Literacy: A Case on Describing and Visualizing Data. Journal on Mathematics Education, 12(3), 427–448. https://doi.org/10.22342/JME.12.3.13202.427-448
Setiawan, E. P., Sukoco, H., Reviana, A., & Agustyani, D. (2023). Developing Statistical Literacy Through Tasks: An Analysis of Secondary School Mathematics Textbooks. Jurnal Pendidikan Matematika, 17(2), 247–264. https://doi.org/10.22342/jpm.17.2.2023.247-264
Sharma, S. (2017). Definitions and models of statistical literacy: a literature review. Open Review of Educational Research, 4(1), 118–133. https://doi.org/10.1080/23265507.2017.1354313
Sinaga, T. M. (2022, November 15). Educating Students as Assets for the Nation's Future [in Bahasa]. Kompas. https://www.kompas.id/baca/humaniora/2022/11/15/mendidik-siswa-sebagai-aset-masa-depan-bangsa?utm_source=external_kompascom&utm_medium=berita_terkini&utm_campaign=kompascom
Tiro, M. A. (2018a). National Movement for Statistical Literacy in Indonesia: An Idea. Journal of Physics: Conference Series, 1028(1). https://doi.org/10.1088/1742-6596/1028/1/012216
Tiro, M. A. (2018b). Action Strategy for the National Movement for Statistical Literacy in Indonesia [in Bahasa]. Proceedings of the Seminar Nasional Variansi (Venue Artikulasi-Riset, Inovasi, Resonansi-Teori, dan Aplikasi Statistika), 2018, 1–21. https://ojs.unm.ac.id/variansistatistika/article/view/7193
Utari, R. S., Zulkardi, Putri, R. I. I., & Susanti, E. (2023). Development of Statistical Literacy Questions for Prospective Mathematics Teachers. Inovasi Matematika (Inomatika), 5(1), 1–15. https://doi.org/10.35438/inomatika
Watson, J. M. (2011). Foundations for improving statistical literacy. Statistical Journal of the IAOS, 27(3–4), 197–204. https://doi.org/10.3233/SJI-2011-0728
Weiland, T. (2017). Problematizing statistical literacy: An intersection of critical and statistical literacies. Educational Studies in Mathematics, 96(1), 33–47. https://doi.org/10.1007/s10649-017-9764-5