Integrating Higher-Order Thinking Skills in Mathematics Education: Development of Learning Tools for Patterns and Number Sequences
DOI:
https://doi.org/10.24235/eduma.v13i2.18787Keywords:
Development of Learning Tools, Number Sequence Patterns, Higher Order Thinking Skills, Validation of Learning ToolsAbstract
Integrating Higher-Order Thinking Skills in Mathematics Education: Development of Learning Tools for Patterns and Number Sequences. Employing the 4-D development model (Define, Design, Develop, Disseminate), this study aimed to develop and validate Higher Order Thinking Skills (HOTS)-based learning tools for number sequence patterns. The define stage identified needs and specifications, while the design stage focused on lesson plans, teacher manuals, student books, and worksheets. Developed tools underwent limited trials in a grade VIII class. The initial lesson plans required revision due to a low RVI (0.70), but after revision, achieved a satisfactory RVI (0.85). The teacher's manual demonstrated high validity (RVI = 0.871), indicating its readiness for instruction. Similarly, the student book required revision due to a low initial RVI (0.63) but achieved validity (RVI = 0.77) after revision. Worksheets also exhibited high validity (RVI = 0.80). All developed components (lesson plans, teacher manuals, student books, and worksheets) achieved RVI values above 0.75, signifying that these HOTS-oriented mathematics learning tools meet quality standards and are ready for use in HOTS-oriented mathematics instruction. This implementation is expected to enhance teaching and learning effectiveness, ultimately leading to optimal learning outcomes.
References
Baroody, A. E., & Diamond, K. E. (2008). Links Among Preschool Children’s Home Literacy Environment, Interest in Literacy Activities, and Emergent Literacy Skills. In PsycEXTRA Dataset. American Psychological Association (APA). https://doi.org/10.1037/e584762012-044
Chrysti, K. S., Sajidan, S., Sentot, B. R., & Kun, Z. P. (2018). The Analysis of High Order Thinking Skill (HOTs) on Science Learning Using Project Based Learning Model.
Diana, F., & Ahmad, F. (2018). Pengembangan desain pembelajaran topik pola bilangan berbasis realistic mathematics education (RME) di kelas VIII SMP/MTS. Jurnal Edukasi Dan Penelitian Matematika, 7(4).
Dochy, F., Segers, M., Van den Bossche, P., & Gijbels, D. (2003). Effects of problem-based learning: A meta-analysis. Learning and Instruction, 13(5), 533–568.
Fyfe, E. R., Evans, J. L., Matz, L. E., Hunt, K. M., & Alibali, M. W. (2017). Relations between patterning skill and differing aspects of early mathematics knowledge. Cognitive Development, 44, 1–11.
Gradini, E. (2019). Menilik Konsep Berpikir Tingkat Tinggi (Higher Order Thinking Skills) dalam Pembelajaran Matematika. Numeracy, 6(2).
Gradini, E. (2021). Penyusunan Soal Tes Bermuatan Lower dan Higher-Order Thinking Skills pada Guru SMP. JIPEMAS: Jurnal Inovasi Hasil Pengabdian Masyarakat, 4(3), 1–2. https://doi.org/http://dx.doi.org/10.33474/jipemas.v4i3.10121
Gradini, E., Umar, A., Firmansyah, F., Effendi, Y., & Winardi, W. (2024). Fostering Higher Order Thinking Skills in Mathematics Learning: A Scoping Review of Teacher Development Initiatives. Unram Journal of Community Service, 5(1), 9–14.
Gregory, R. J. (2011). Psychological Testing: History, Principles, and Applications (7th editio). Pearson.
Gutiérrez, K. D. (2009). A Comprehensive Federal Literacy Agenda: Moving beyond Inoculation Approaches to Literacy Policy. In Journal of Literacy Research (Vol. 41, Issue 4, pp. 476–483). SAGE Publications. https://doi.org/10.1080/10862960903340777
Janssen, F., Westbroek, H., & Doyle, W. (2015). Practicality studies: How to move from what works in principle to what works in practice. Journal of the Learning Sciences, 24(1), 176–186.
Peraturan Menteri Pendidikan dan Kebudayaan Nomor 22 Tahun 2016 Tentang Standar Proses Pendidikan Dasar dan Menengah, Pub. L. No. Nomor 22 Tahun 2016, Kementerian Pendidikan Dan Kebudayaan (2016).
King, D., & Cattlin, J. (2015). The impact of assumed knowledge entry standards on undergraduate mathematics teaching in Australia. International Journal of Mathematical Education in Science and Technology, 46(7), 1032–1045.
Menggo, S., Par, L., Gunas, T., & Guna, S. (2021). Pendampingan penyusunan soal berorientasi HOTS bagi para guru SMA. WIDYA LAKSANA, 10(1), 14–26.
Nazzaro, J. N., & Semmel, M. I. (1976). Innovation in Teacher Training—A Conversation with Melvyn I. Semmel. Education and Training of the Mentally Retarded, 353–360.
NeCamp, S. (2020). Sponsoring Literacy in Appalachia. In Literacy in the Mountains (pp. 26–48). University Press of Kentucky. https://doi.org/10.5810/kentucky/9780813178851.003.0003
Papic, M. M., Mulligan, J. T., & Mitchelmore, M. C. (2011). Assessing the development of preschoolers’ mathematical patterning. Journal for Research in Mathematics Education, 42(3), 237–268.
Puspita, D., Mandasari, B., & Sari, K. (2021). Peningkatan Pengetahuan Penyusunan Soal Berbasis Hots Pada Guru Bahasa Inggris SMAN 1 Kotagajah. ABDI KAMI: Jurnal Pengabdian Kepada Masyarakat, 4(1), 48–55.
Saâ, F. N., Mania, S., & Suharti, S. (2021). Pengembangan instrumen tes untuk mengukur kemampuan berpikir komputasi siswa. JPMI (Jurnal Pembelajaran Matematika Inovatif), 4(1), 17–26.
Saido, G. M., Siraj, S., Nordin, A. B. Bin, & Al_Amedy, O. S. (2018). Higher order thinking skills among secondary school students in science learning. MOJES: Malaysian Online Journal of Educational Sciences, 3(3), 13–20.
Sani, R. A. (2019). Pembelajaran berbasis hots edisi revisi: higher order thinking skills (Vol. 1). Tira Smart.
Şendağ, S., & Odabaşı, H. F. (2009). Effects of an online problem based learning course on content knowledge acquisition and critical thinking skills. Computers & Education, 53(1), 132–141.
Sofyatiningrum, E., Sisdiana, E., Astuti, R., Hariyanti, E., Efaria, L., Krisna, F. N., & Tola, B. (2018). Muatan HOTS pada Pembelajaran Kurikulum 2013 Pendidikan Dasar (Mahdiansyah, Y. Wirda, & L. H. Winingsih (eds.)). Pusat Penelitian Kebijakan Pendidikan dan Kebudayaan, Badan Penelitian dan Pengembangan, Kementerian Pendidikan dan Kebudayaan.
Sole, F. B., & Anggraeni, D. M. (2020). Analysis of High Order Thinking Skill (HOTS) in joint midterm examination at YAPNUSDA Elementary School. Journal of Physics: Conference Series, 1440(1), 12102.
Soylu, F., Lester Jr, F. K., & Newman, S. D. (2018). You can count on your fingers: The role of fingers in early mathematical development. Journal of Numerical Cognition, 4(1), 107–135.
Thiagarajan, S., Semmel, D. S., & Semmel, M. I. (1974). Instructional Development for Training Teachers of Exceptional Children: A Sourcebook. In iCenter for Innovation in Teaching the Handicapped. Indiana University, Bllomington. https://doi.org/10.1016/0022-4405(76)90066-2
Widana, I. W., Parwata, I. made Y., Parmithi, N. N., Jayantika, I. G. A. T., Sukendra, K., & Sumandya, I. W. (2018). Higher Order Thinking Skills Assessment towards Critical Thinking on Mathematics Lesson. International Journal of Social Sciences and Humanities (IJSSH), 2(1), 24–32. https://doi.org/10.29332/ijssh.v2n1.74
Yang, Y.-T. C. (2015). Virtual CEOs: A blended approach to digital gaming for enhancing higher order thinking and academic achievement among vocational high school students. Computers & Education, 81, 281–295.
Zohar, A., Degani, A., & Vaaknin, E. (2001). Teachers’ beliefs about low-achieving students and higher order thinking. Teaching and Teacher Education, 17(4), 469–485.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 EduMa: Mathematics education learning and teachingâ€â€â€Ž

This work is licensed under a Creative Commons Attribution 4.0 International License.
By submitting a manuscript to EduMa: Mathematics Education Learning and Teaching, the author(s) agree to the following terms:
Copyright Retention and Licensing The author(s) retain the copyright of their work and grant EduMa the right of first publication. The article is simultaneously licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). This license allows others to share (copy and redistribute) and adapt (remix, transform, and build upon) the work for any purpose, provided that the original authorship and initial publication in this journal are properly cited.
Author Rights: Authors are permitted and encouraged to disseminate their published article (e.g., in institutional repositories or on their personal websites). Authors retain the right to use their articles for any lawful purpose without requiring written permission from EduMa, provided that the original publication in this journal is clearly acknowledged.
Website Content License: All content published on this website is licensed under a Creative Commons Attribution 4.0 International License.

EduMa: Mathematics Education Learning and Teaching by https://syekhnurjati.ac.id/jurnal/index.php/eduma/index is licensed under a Creative Commons Attribution 4.0 International License.