Design of Differentiated Mathematics Learning Activities on Arithmetic Sequence and Series to Support Student’s Computational Thinking Abilities
DOI:
https://doi.org/10.18592/tarbiyah.v14i1.15853Keywords:
Mathematics Learning, Differentiated Learning, Arithmetic Sequence, Arithmetic Series, Computational ThinkingAbstract
The projected result of this research is to design valid and practical differentiated mathematics learning activities on arithmetic sequences and series to support computational thinking abilities. These activities were designed utilizing the ADDIE development model, which provides a structured framework for designing, testing, and refining learning tools. This study resulted in a validity score of 90.14% for student worksheets, 92.85% for test questions and 77.4% for practicality. The pretest average was 50.54 with a standard deviation of 18.04, while the posttest average increased to 95.92 with a standard deviation of only 3.57, indicating an increase in student consistency and performance. The findings of the N-Gain analysis conveyed that the learning method incorporating differentiated activities was considered highly effective. Overall, the implementation of the computational thinking-based differentiation learning model has also proven to be very beneficial. Based on the test results, there was a notable increase in scores on each component of computational thinking skills. The findings regarding the validity and practicality of the student worksheet (LKPD) also achieved high ratings, indicating that this learning tool is both effective and practical to use in the learning process. Implication the research differentiated learning not only improves students’ understanding of mathematical concepts, but also prepares them with critical and computational thinking skills.References
Aminah. N. Sukestiyarno, Yohanes. Cahyono Adi. N. & Maat. S. (2023). Student activities in solving mathematics problems with a computational thinking using Scratch. International Journal of Evaluation and Research in Education (IJERE). 12. 613. 10.11591/ijere.v12i2.23308
Anggrasari LA. 2021. Model Pembelajaran Computational Thingking Sebagai Inovasi Pembelajaran Sekolah Dasar Pascapandemi Covid-19. Pros Semin Nas Sensaseda.
Aulia, W., & Mintohari. (2023). Pengembangan Media Pembelajaran Berbasis Multimedia Interaktif Materi Tata Surya Kelas VI Sekolah Dasar. Jurnal Penelitian Pendidikan Guru Sekolah Dasar, 11(1), 220–234.
Avital, B., Hershkovitz, A., & Israel-Fishelson, R. (2023). Associations between Computational Thinking and Figural, Verbal Creativity. Thinking Skills and Creativity, 50(Complete). https://doi.org/10.1016/j.tsc.2023.101417
Awofala, A. O., & Lawani, A. O. (2020). Increasing Mathematics Achievement of Senior Secondary School Learners Through Differentiated Instruction. Journal of Educational Sciences, 4(1), 1-19. 10.31258/jes.4.1.p.1-19
Awofala, A. O., & Sopekan, O. S. (2020). Early-years future teachers’ mathematical beliefs as determinants of performance in primary mathematics. Journal of Research and Advances in Mathematics Education, 5(1), 54-68.
Badri Y.A & Krishna M.S. (2013). A Study of the Impact of Laboratory Approach on Achievement and Process Skills in Science among Is Standard Students. Int J Sci Res Publ. 3(1), 1-6.
Bondie, R. S., Dahnke, C., & Zusho, A. (2019). How does changing “one-size-fits-all” to differentiated instruction affect teaching?. Review of Research in Education. 43(1), 336-362. https://doi.org/10.3102/0091732X18821130
Branch RM. (2009). Instructional Design-The ADDIE Approach. New York: Springer;
Broza,O. Shalev. L.B, Chamo. N. (2023). “Start from scratch”: Integrating computational thinking skills in teacher education program. Thinking Skills and Creativity.48.101285. https://doi.org/10.1016/j.tsc.2023.101285
Cansu FK, (2019). An Overview of Computational Thinking. Int J Comput Sci Educ Sch. 3(1):17–30.
Chan, Shiau Wei. Looi. C.K., Ho. W.K., Huang. W., Seow. P. & Wu. L. (2021). Learning number patterns through computational thinking activities: A Rasch model analysis. Heliyon. 7.e07922. https://doi.org/10.1016/j.heliyon.2021.e07922
Cheng, Y.P., Lai. C.F., Chen. Y.T., Wang. W.S., Huang., Y.M. & Wu. T.T. (2023). Enhancing Student’s Computational Thinking Skills with Student-Generated Questions Strategy in A Game-Based Learning Platform. Computers and Education. 200.104794. https://doi.org/10.1016/j.compedu.2023.104794
Çiftçi. A. & Mustafa S.T. (2023). Improving Early Childhood Pre-Service Teachers’ Computational Thinking Skills Through The Unplugged Computational Thinking Integrated STEM Approach. Thinking Skills and Creativity. 49.101337. https://doi.org/10.1016/j.tsc.2023.101337
Città G, Gentile M, Allegra M, Arrigo M, Conti D, Ottaviano S, Reale. F & Sciortino. M. (2019). The effects of mental rotation on computational thinking. Comput & Education. 141. 103613. https://doi.org/10.1016/j.compedu.2019.103613
Danindra LS, Masriyah & Hanifah U. (2022). Computational Thinking Processes of Junior High School Students in Solving Problems of Number Patterns in Terms of Gender Differences. SHS Web Conf. 149.01012 https://doi.org/10.1051/shsconf/202214901012
Erhan, Ş. Sari. U. & Şen. Ö.F. (2024). STEM professional development program for gifted education teachers: STEM lesson plan design competence, self-efficacy, computational thinking and entrepreneurial skills. Thinking Skills and Creativity.51.101439. https://doi.org/10.1016/j.tsc.2023.101439
Fauji T, Sampoerna PD & Hakim L El. (2022). Penilaian Berpikir Komputasi Sebagai Kecakapan Baru dalam Literasi Matematik. Pros Semin Nas Fak Tarb dan Kegur Univ Negeri Alauddin Makasar. 598–514.
Fauzi FA, Ratnaningsih N & Lestari P. (2022). Pengembangan Digibook Barisan dan Deret Berbasis Anyflip untuk Mengeksplor Kemampuan Berpikir Komputasional Peserta Didik. J Cendekia J Pendidik Mat. 6(1), 191-203. https://doi.org/10.31004/cendekia.v6i1.1089
Hapsari, T., Darhim, & Dahlan, J. A. (2018). Understanding and responding the students in learning mathematics through the differentiated instruction. Journal of Physics: Conference Series, 1013(1). https://doi.org/10.1088/1742- 6596/1013/1/012136
Hidayati F.H. (2020) Differentiated Instruction in The Mathematics Classroom: Teachers’ Teaching Experience in A Teacher Professional Development. Int J Teach Learn Math. 3(1):37–45.
Indriani H, Ratu I.I.P. & Darmawijo. (2018) Lintasan belajar barisan dan deret aritmatika dengan pendekatan pmri menggunakan konteks kain songket palembang. Pros Semin Nas STKIP PGRI Sumatera Barat. 4(1), 192–9.
Ismajli, H. & Imami-Morina, I. (2018). Differentiated instruction: Understanding and applying interactive strategies to meet the needs of all the learners. International Journal of Instruction, 11(3), 207–218.
Kalelioğlu, F. (2018). Characteristics of Studies Conducted on Computational Thinking: A content analysis, in computational thinking in the STEM disciplines foundations and research highlights. Springer International Publication. 10.1007/978-3-319-93566-9_2
Kamal, S. (2021). Implementasi Pembelajaran Berdiferensiasi Dalam Upaya Meningkatkan Aktivitas dan Hasil Belajar Matematika Siswa Kelas XI MIPA SMA Negeri 8 Barabai. Julak: Jurnal Pembelajaran dan Pendidik, 1(1), 89–100.
Kamarulzaman MH, Kamarudin MF, Sharif MSAM, Esrati MZ, Saali MMSN & Yusof R. (2022). Impact of Differentiated Instruction on the Mathematical Thinking Processes of Gifted and Talented Students. J Educ e-Learning Res. 9(4):269–77. 10.20448/jeelr.v9i4.4253
Kong, S.C. & Ming L. (2022). Validating a computational thinking concepts test for primary education using item response theory: An analysis of students’ responses. Computers and Education Open. 187.104562
Kopcha, T.J. & Ceren O. (2023). Children's computational thinking as the development of a possibility space. Computers and Education Open. 5, 100156.
M. Gunawan .S., Turmudi & Elly .S. (2021). Proses Berpikir Komputasional Siswa Dalam Menyelesaikan Soal Pisa Konten Change and Relationship Berdasarkan Self-Regulated Learning. Numeracy, 8(1), 58–72. https://doi.org/10.46244/numeracy.v8i1.1378
Magableh, I. S. I., & Abdullah, A. (2020). On the effectiveness of differentiated instruction in the enhancement of Jordanian learners' overall achievement. International Journal of Instruction, 13(2), 533-548.
Magableh, I., & Abdullah, A. (2020). The effect of differentiated instruction on EFL learners: Teachers’ perspective. International Journal of Academic Research in Business and Social Sciences, 10(5). https://doi.org/10.6007/ijarbss/v10-i5/7235.
Maharani S, Kholid MN, NicoPradana L & Nusantara T. (2019). Problem Solving in the Context of. J Math Educ. 8(2), 109–116. 10.22460/infinity.v8i2.p109-116
Maharani S, Nusantara T, Rahman Asari A & Qohar A. (2020). Computational thinking pemecahan masalah di abad ke-21 Critical thinking View project Teaching for Critical Thinking View project. Wade Publish.
Minasari U, Susanti R. (2023). Penerapan Model Problem Based Leaning Berbasis Berdiferensiasi berdasarakan Gaya Belajar Peserta Didik pada Pelajaran Biologi. Ideguru J Karya Ilm Guru. 6(1),48-53. https://doi.org/10.31004/joe.v6i1.2912
Mulyono B, Darmawijoyo, Sari N, Hapizah, Sukma Y. (2023). Pendampingan Perancangan Media Pembelajaran Matematika Untuk Mendukung Computational Thinking Peserta Didik Bagi Guru-Guru Matematika Kota Kayuagung. J Sriwij Community Serv Educ. 2(2), 51–60. 10.36706/jscse.v2i2.998
OECD. Programme for International Student Assessment (PISA) Result from PISA 2018. 2018. p. 1–10 What 15-year-old students in Indonesia know and can do. Available from: http://www.oecd.org/pisa/ Data
Ostian D, Hapizah, Mulyono B. (2023). Interactive e-student worksheet based on computational thinking with South Sumatera Traditional Games Context. J Pendidik Mat RAFA. 8(2), 102–22. https://doi.org/10.19109/jpmrafa.v9i2.20339
Piatti. A., Adorni. G., El-Hamamsy. L., Negrini. L. (2022). The CT-cube: A framework for the design and the assessment of computational thinking activities. Computers in Human Behavior Report. (5)100166. 10.1016/j.chbr.2021.100166
Pozas, M., Letzel, V., and Schneider, C. (2020). Teachers and differentiated instruction: Exploring differentiation practices to address student diversity. Journal of Research in Special Educational Needs, 20(3), 217-230. https://doi.org/10.1016/j.ecresq.2023.05.012
Prast, E. J., Van de Weijer-Bergsma, E., Kroesbergen, E. H., and Van Luit, J. E. H. (2018). Differentiated instruction in primary mathematics: Effects of teacher professional development on student achievement. Learning and Instruction, 54, 22–34. https://doi.org/10.1016/j.learninstruc.2018.01.009
Presser. A.E.L., Young. J.M., Rosenfeld. (D)., Clements. L.J., Kook. J.F., Sherwood. H., Cerrone. M. (2023). Data collection and analysis for preschoolers: An engaging context for integrating mathematics and computational thinking with digital tools. Early Childhood Research Quarterly. 65(4), 42-56. https://doi.org/10.1016/j.ecresq.2023.05.012
Ramaila. S. & Shilenge. H. (2023). Integration of computational thinking activities in Grade 10 mathematics learning. International Journal of Research in Business and Social Science. 12(2), 458-471. 10.20525/ijrbs.v12i2.2372.
Reichert. J. & Kist. M. (2023). Computational thinking in the curricular component of mathematics in basic education: Possibilities and challenges. International Journal of Trends in Mathematics Education Research. 6(3), 284-289. 10.33122/ijtmer.v6i3.200.
Sa’diyyah., F.N, Mania., S, Suharti. S. (2021). Pengembangan Instrumen Tes Untuk Mengukur Kemampuan Berpikir Komputasi Siswa. JPMI (Jurnal Pembelajaran Mat Inov. 4(1):17–26. https://doi.org/10.22460/jpmi.v1i1.p%25p
Septiana D, Hapizah, Mulyono B. (2024). Pengembangan LKPD Untuk Pembelajaran Berdiferensiasi Dengan Konteks Brengkes Tempoyak Sumatera Selatan Yang Berorientasi Computational Thinking. AKSIOMA J Progr Stud Pendidik Mat. 13(1):34–47. https://doi.org/10.24127/ajpm.v13i1.8332
Syarifuddin, Nurmi. (2022). Pembelajaran Berdiferensiasi dalam Meningkatkan Hasil Belajar Matematika Siswa Kelas IX Semester Genap SMP Negeri 1 Wera Tahun Pelajaran 2021/2022. Jago MIPA J Pendidik Mat dan IPA. 2(2), 35–44. https://doi.org/10.53299/jagomipa.v2i2.184
Tilamsari. B.Y, Komarayanti S, & Purwaningsih. S. (2023) Impelementasi pembelajaran diferensiasi melalui Problem Based Learninguntuk meningkatkan kemampuan literasi sains siswa kelas X.3 SMAN Rambipuji. J Pendidik IPA. 6(1), 48-54. https://doi.org/10.19184/se.v6i1.40001
Tomlinson, C. A. (2017). How to differentiate instruction in academically diverse classrooms. VA: ASCD.
Umar. 2018. Learning Classroom Environment (LCE) and Smart Learning Environments (SLEs) Urgensi , Adaptasi dalam Penciptaan Pembelajaran Abad 21 Umar. Al-Qalam: Jurnal Kajian Islam dan Pendidikan. 10(2), 1-12.
Wilkie, K.J. & Sarah. H. (2024). Primary students’ relational thinking and computation strategies with concrete-to-symbolic representations of subtraction as difference. The Journal of Mathematical Behavior. 73, 101121. https://doi.org/10.1016/j.jmathb.2023.101121
Wing, J. M. (2006). In Computational thinking. Communication of the ACM, 49(3) (pp. 33–35). https://doi.org/10.1145/1118178.111821
Wing, J. M. (2008). Computational thinking and thinking about computing. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 366(1881), 3717–3725. 10.1098/rsta.2008.0118.
Xie. Z., Wong. G., Chiu. D., Lei. J. (2023). Bridging K–12 Mathematics and Computational Thinking in the Scratch Community: Implications Drawn From a Creative Learning Context. IT Professional. 25. 64-70. 10.1109/MITP.2023.3243393.
Xu. W. Fengji. G., Wang. L. (2022). Relations of computational thinking to reasoning ability and creative thinking in young children: Mediating role of arithmetic fluency. Thinking Skills and Creativity.44.101041. https://doi.org/10.1016/j.tsc.2022.101041
Ye, H., Liang, B., Ng, O. L., & Chai. C.S. (2023). Integration of computational thinking in K-12 mathematics education: A systematic review on CT-based mathematics instruction and student learning. International Journal of STEM Education, 10(3). https://doi.org/10.1186/s40594-023-00396-w
Yusmar, F. & Fadilah, R. E. (2023). Analisis rendahnya literasi sains peserta didik Indonesia: hasil PISA dan faktor penyebab. Lensa: Jurnal Pendidikan IPA. 13(1), 11-19. https://doi.org/10.24929/lensa.v13i1.283
Zahid M.Z. (2020). Telaah Kerangka Kerja PISA 2021. Era Integrasi Computational Thinking dalam Bidang Matematika. Pros Semin Nas Mat Prima 3 (706–713).
Zhang, S., & Wong, G. K. W. (2023). Development and validation of a computational thinking test for lower primary school students. Educational Technology Research and Development, 71(4), 1595–1630. https://doi.org/10.1007/s11423-023-10231-2
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Fitri Rahmadhani, Budi Mulyono, Hapizah Hapizah

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution 4.0 International License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.