The evolution of Indonesian curriculum: Hypothetical learning trajectory for mastery of mathematical and computational thinking
DOI:
https://doi.org/10.23917/jramathedu.v8i4.2116Keywords:
Hypothetical Learning Trajectory, Mathematical Thinking, Computational ThinkingAbstract
Some conditions are unconcerned with students believing they are learning mathematics. Students' disinterest increases when the situation is online learning due to the COVID-19 pandemic. In that case, fully online learning reduces students' mathematical and computing abilities. Therefore, this study aims to obtain a hypothetical learning trajectory in mathematics learning in constructing the skills to master mathematical and computational thinking for secondary school students. This study used part of the research development method of validation research which focuses on Hypothetical Learning Trajectory (HLT). The preparation of the HLT focuses on mastering the mathematical and computational thinking skills of junior high school students using teaching materials, learning media, and evaluation instruments on rank number and square roots materials. The subjects in this study were 30 junior high school students in class IX who took mathematics classes. The series of activities and forms of student learning assumptions become one complete trajectory for the purpose of learning achievement. A Hypothetical Learning Trajectory (HLT) was developed based on the findings of an analysis of the activities of the Junior High School Mathematics curriculum suite and PISA 2021, test results, initial observations during the learning process, and interviews with students and teachers. HLT preparation has an impact on creating learning designs that are ready to be continued at the implementation stage in the following class.
References
Akker, J.V.D., Gravemeijer, K., McKenney, S., & Nieveen, N. (2006). Education Design Research. London: Routledge Taylor and Francis Group
Almahasees, Z., Mohsen, K., & Amin, M. O. (2021). Faculty’s and Students’ Perceptions of Online Learning During COVID-19. Frontiers in Education, 6. https://doi.org/10.3389/feduc.2021.638470
Almendingen, K., Morseth, M. S., Gjølstad, E., Brevik, A., & Tørris, C. (2021). Student’s experiences with online teaching following COVID-19 lockdown: A mixed methods explorative study. PLoS ONE, 16(8 August). https://doi.org/10.1371/journal.pone.0250378
Ananda Kumar, A., & Chellamani, K. (2020). Effect of Emotive Cognition Strategies on Enhancing Meaningful Learning among B.Ed. Student-Teachers. Shanlax International Journal of Education, 9(1), 152–162. https://doi.org/10.34293/education.v9i1.3488
Bartolini, M. G. (2014). Encyclopedia of Mathematics Education. In Encyclopedia of Mathematics Education. https://doi.org/10.1007/978-94-007-4978-8
Başaran, S. (2011). An Exploration of Affective and Demographic Factors That are Related to Mathematical Thinking and Reasoning of University Students. Publication Thesis.
Biney, I. K. (2018). Teacher Motivation and Learner’s Interest: Perspectives Of An Adult Educator. Woeli Publishing Services.
Çelik, H. C., & Özdemir, F. (2020). Mathematical Thinking as a Predictor of Critical Thinking Dispositions of Pre-service Mathematics Teachers. International Journal of Progressive Education, 16(4), 81–98. https://doi.org/10.29329/ijpe.2020.268.6
Charitas, R., & Prahmana, I. (2015). The Hypothetical Learning Trajectory on Addition in Mathematics GASING. In Southeast Asian Mathematics Education Journal (Vol. 5, Issue 1). https://doi.org/10.46517/seamej.v5i1.32
Cresswell, C., & Speelman, C. P. (2020). Does mathematics training lead to better logical thinking and reasoning? A cross-sectional assessment from students to professors. PLoS ONE, 15(7 July). https://doi.org/10.1371/journal.pone.0236153
Cui, Z., & Ng, O. L. (2021). The Interplay Between Mathematical and Computational Thinking in Primary School Students’ Mathematical Problem-Solving Within a Programming Environment. Journal of Educational Computing Research, 59(5), 988–1012. https://doi.org/10.1177/0735633120979930
Dayagbil, F. T., Palompon, D. R., Garcia, L. L., & Olvido, M. M. J. (2021). Teaching and Learning Continuity Amid and Beyond the Pandemic. Frontiers in Education, 6. https://doi.org/10.3389/feduc.2021.678692
Dhawan, S. (2020). Online Learning: A Panacea in the Time of COVID-19 Crisis. Journal of Educational Technology Systems, 49(1), 5–22. https://doi.org/10.1177/0047239520934018
Estebanell Minguell, M., González Martínez, J., Peracaula Bosch, M., & López Simó, V. (2017). About The Concept of Computational Thinking and Its Educational Potentialities By Pre-Service Teachers. Edulearn17 Proceedings, 1, 6624–6629. https://doi.org/10.21125/edulearn.2017.2510
Gadanidis, G., Cendros, R., Floyd, L., & Namukasa, I. (2017). Computational thinking in mathematics teacher education. Contemporary Issues in Technology and Teacher Education (Vol. 17, Issue 4). https://www.learntechlib.org/primary/p/173103/.
Guerriero, S. (2017). Pedagogical Knowledge and the Changing Nature of the Teaching Profession. Paris: OECD Publishing.
González-Ceballos, I., Palma, M., Serra, J. M., & Esteban-Guitart, M. (2021). Meaningful Learning Experiences in Everyday Life During Pandemics. A Qualitative Study. Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.670886
Hafeez, M., Kazmi, Q. A., & Tahira, F. (2022). Challenges faced by the teachers and students in online learning during covid-19. Cakrawala Pendidikan, 41(1), 55–70. https://doi.org/10.21831/cp.v41i1.35411
Harefa, S., & Sihombing, G. L. A. (2021). Students’ perception of online learning amidst the Covid-19 pandemic: A study of junior, senior high school and college students in a remote area. F1000Research, 10, 867. https://doi.org/10.12688/f1000research.52152.1
Herodotou, C., Sharples, M., Gaved, M., Kukulska-Hulme, A., Rienties, B., Scanlon, E., & Whitelock, D. (2019). Innovative Pedagogies of the Future: An Evidence-Based Selection. In Frontiers in Education (Vol. 4). Frontiers Media S.A. https://doi.org/10.3389/feduc.2019.00113
Ilçin, N., Tomruk, M., Yeşilyaprak, S. S., Karadibak, D., & Savcl, S. (2018). The relationship between learning styles and academic performance in TURKISH physiotherapy students 13 Education 1303 Specialist Studies in Education. BMC Medical Education, 18(1). https://doi.org/10.1186/s12909-018-1400-2
Kamamia, L. N., Ngugi, N. T., & Thinguri, R. W. (2014). To Establish the Extent to Which the Subject Mastery Enhances Quality Teaching to Student-Teachers During Teaching Practice. In International Journal of Education and Research (Vol. 2, Issue 7). www.ijern.com
Keiler, L. S. (2018). Teachers’ roles and identities in student-centered classrooms. International Journal of STEM Education, 5(1). https://doi.org/10.1186/s40594-018-0131-6
King, J. (2017). Pedagogy As Tension: Exploring The Relationality of Teaching and Learning for A Post-Standardized Education. In Int. J. of Pedagogies & Learning, 12(1), 129–136.
Kooloos, C., Oolbekkink-Marchand, H., van Boven, S., Kaenders, R., & Heckman, G. (2022). Building on student mathematical thinking in whole-class discourse: exploring teachers’ in-the-moment decision-making, interpretation, and underlying conceptions. Journal of Mathematics Teacher Education, 25(4), 453–477. https://doi.org/10.1007/s10857-021-09499-z
Kurniasih, A. W., Hidayah, I., & Asikin, M. (2020). Teacher support for eliciting students mathematical thinking: Problem posing, asking questions, and song. International Journal of Learning, Teaching and Educational Research, 19(10), 265–285. https://doi.org/10.26803/IJLTER.19.10.15
Lavidas, K., Apostolou, Z., & Papadakis, S. (2022). Challenges and Opportunities of Mathematics in Digital Times: Preschool Teachers’ Views. Education Sciences, 12(7). https://doi.org/10.3390/educsci12070459
Lodge, J. M., Kennedy, G., Lockyer, L., Arguel, A., & Pachman, M. (2018). Understanding Difficulties and Resulting Confusion in Learning: An Integrative Review. In Frontiers in Education (Vol. 3). Frontiers Media S.A. https://doi.org/10.3389/feduc.2018.00049
Meşe, E., Sevilen, Ç., & Info, A. (n.d.). Factors influencing EFL students’ motivation in online learning: A qualitative case study. Journal of Educational Technology & Online Learning, 4(1), 11–22. https://doi.org/10.31681/jetol.817680
Metin, M. (2013). Teachers’ difficulties in preparation and implementation of performance task. Kuram ve Uygulamada Egitim Bilimleri, 13(3), 1664–1673. https://doi.org/10.12738/estp.2013.3.1452
Mustafa, S., Sari, V., & Baharullah, B. (2019). The Implementation of Mathematical Problem-Based Learning Model as an Effort to Understand the High School Students’ Mathematical Thinking Ability. International Education Studies, 12(2), 117. https://doi.org/10.5539/ies.v12n2p117
Muthuprasad, T., Aiswarya, S., Aditya, K. S., & Jha, G. K. (2021). Students’ perception and preference for online education in India during COVID -19 pandemic. Social Sciences & Humanities Open, 3(1), 100101. https://doi.org/10.1016/j.ssaho.2020.100101
Neubauer, B. E., Witkop, C. T., & Varpio, L. (2019). How phenomenology can help us learn from the experiences of others. Perspectives on Medical Education, 8(2), 90–97. https://doi.org/10.1007/s40037-019-0509-2
Pinnock, E. (2021). Teaching and learning algebraic thinking with 5-to 12-year-olds: the global evolution of and emerging field of research and practice. Research in Mathematics Education, 23(2), 226–230. https://doi.org/10.1080/14794802.2020.1725613
Pradana, M., & Syarifuddin, S. (2021). The Struggle Is Real: Constraints of Online Education in Indonesia During the COVID-19 Pandemic. Frontiers in Education, 6. https://doi.org/10.3389/feduc.2021.753776
Puspitarini, Y. D., & Hanif, M. (2019). Using Learning Media to Increase Learning Motivation in Elementary School. Anatolian Journal of Education, 4(2), 53–60. https://doi.org/10.29333/aje.2019.426a
Sewagegn, A. A. (2020). Learning objective and assessment linkage: Its contribution to meaningful student learning. Universal Journal of Educational Research, 8(11), 5044–5052. https://doi.org/10.13189/ujer.2020.081104
Simon, M. A. (1995). Reconstructing Mathematics Pedagogy from a Constructivist Perspective. In Source: Journal for Research in Mathematics Education (Vol. 26, Issue 2). https://doi.org/10.2307/749205
Simon, M. A. (2020). Elaborating reflective abstraction for instructional design in mathematics: Postulating a Second Type of Reflective Abstraction. Mathematical Thinking and Learning, 22(2), 162–171. https://doi.org/10.1080/10986065.2020.1706217
Sudarwo, R., & Adiansha, A. A. (2022). Brain-Based Learning Vs Problem Based Learning: Mathematical Complex Thinking Skills in terms of Student Creativity? International Journal of Social Science Research and Review, 5(4), 77–86. https://doi.org/10.47814/ijssrr.v5i4.231
Sutini, T., Apriliawati, A., Astuti, M. A., Wulandari, I. T., & Santi, R. T. (2022). Offline Learning Readiness during COVID-19 Pandemic: Indonesian’ Parent Knowledge, Belief, and Attitude. Open Access Macedonian Journal of Medical Sciences, 10, 254–258. https://doi.org/10.3889/oamjms.2022.8284
Tanner, K. D. (2013). Structure matters: Twenty-one teaching strategies to promote student engagement and cultivate classroom equity. CBE Life Sciences Education, 12(3), 322–331. https://doi.org/10.1187/cbe.13-06-0115
Tanudjaya, C. P., & Doorman, M. (2020). Examining higher order thinking in Indonesian lower secondary mathematics classrooms. In Journal on Mathematics Education (Vol. 11, Issue 2, pp. 277–300). Sriwijaya University. https://doi.org/10.22342/jme.11.2.11000.277-300
Teherani, A., Martimianakis, T., Stenfors-Hayes, T., Wadhwa, A., & Varpio, L. (2015). Choosing a Qualitative Research Approach. Journal of Graduate Medical Education, 7(4), 669–670. https://doi.org/10.4300/JGME-D-15-00414.1
Tirri, K., & Toom, A. (2020). The Moral Role of Pedagogy as the Science and Art of Teaching. In Pedagogy in Basic and Higher Education - Current Developments and Challenges. IntechOpen. https://doi.org/10.5772/intechopen.90502
Tran, C., Smith, B., & Buschkuehl, M. (2017). Support of mathematical thinking through embodied cognition: Nondigital and digital approaches. In Cognitive Research: Principles and Implications (Vol. 2, Issue 1). Springer. https://doi.org/10.1186/s41235-017-0053-8
Wong, K. P. (2015). Facilitating A Meaningful Learning Experience for Students by Multimedia Teaching Approach. Asia Pacific Journal of Contemporary Education and Communication Technology, 1(1), 72–80. www.apiar.org.au
Zhong, B., Wang, Q., Chen, J., & Li, Y. (2016). An exploration of three-dimensional integrated assessment for computational thinking. Journal of Educational Computing Research, 53(4), 562–590. https://doi.org/10.1177/0735633115608444
Zhu, Y., Yu, W., & Cai, J. (2018). Understanding students’ mathematical thinking for effective teaching: A comparison between expert and nonexpert chinese elementary mathematics teachers. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), 213–224. https://doi.org/10.12973/ejmste/78241
Submitted
Accepted
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Siska Firmasari, Tatang Herman, Elah Nurlaelah
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.