Abstract

This research is based on the results of a preliminary study which identified students' learning barriers in algebraic multiplication and division material in elementary schools. Students do not fully understand the concept of algebraic multiplication and division due to learning obstacles related to limited didactic designs made by teachers. Learning obstacles experienced by students must be anticipated through a learning process that is able to overcome these problems. The researcher developed a didactic learning design using a Realistic Mathematics Education (PMR) approach. The aim of this research is to determine the learning obstacles experienced by students, develop didactical designs for algebraic multiplication and division, describe, test, and describe the designs that have been created. The research method used in this research is Didactical Design Research (DDR). This method consists of three stages, namely didactic situation analysis before learning in the form of Hypothetical Learning Trajectory (HLT) and Pedagogical Didactic Anticipation (ADP), metapedadidactic analysis and retrospective analysis. The data collection technique used is triangulation which combines observation, interviews and documentation. The design development process was carried out in class V with a total of 18 students, and the preliminary study stage was carried out in class IV at SDN 1 Sukamanah with a total of 22 students, and class IV at SDN Sukamulya with a total of 16 students. This research produces data regarding student barriers to multiplication and division material, didactical design in the form of teaching materials, student worksheets (LKPD), to minimize students' learning barriers to multiplication and division material in algebra.

There is no Figure or data content available for this article

References

• Aswarliansyah, & Febriandi, R. (2021). Pengembangan Media Pola Perlahan pada Materi Perkalian Siswa SD Kelas II. Journal of Elemantary School (JOES), 4(2), 187–196. https://doi.org/10.31539/joes.v4i2.2552

  Brousseau, G. (1997). Theory of Didactical Situation in Mathematics. Kluwer Academic Publisher.

  Hadi, S. S. (2021). Algebraic Thinking Skills Included in The Mathematics Textbook for Middle Third Grade. Turkish Journal of Computer and Mathematics Education, 12(7), 3415–3425.

  Halidi, H. M., Husain, S. N., & Saehana, S. (2015). Pengaruh Media Pembelajaran Berbasis TIK Terhadap Motivasi dan Hasil Belajar IPA Siswa Kelas V SDN Model Terpadu Madani Palu. E-Jurnal Mitra Sains, 3(1), 53–60.

  Jupri, A., Drijvers, P., & Heuvel-Panhuizen, M. van den. (2014). Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26, 683–710. https://doi.org/10.1007/s13394-013-0097-0

  Kholiq, A. (2020). Indonesian Journal of Early Childhood How is Piaget’s Theory Used to Test The Cognitive Readiness of Early Childhood in School? Indonesian Journal of Early Childhood Education Studies, 9(1), 24–28. https://doi.org/10.15294/ijeces.v9i1.37675

  Mirza, A., Kanza, A., & Kusuma, G. (2020). How to Develop the Algebraic Thinking of Students in Mathematics Learning. PRISMA, Prosiding Seminar Nasional Matematika, 3, 310–316.

  Pratiwi, V., Farokhah, L., & Abidin, Z. (2019). A Lesson Design of Algebraic Thinking in Elementary School as an Efforts to Develop Mathematical Literation in Industrial Era 4.0. Journal Elementary Education, 3(2), 62–75. https://doi.org/10.22460/pej.v3i2.1376

  Pratiwi, V., Herman, T., & Lidinillah, D. A. M. (2017). Upper Elementary Grades Students’ Algebraic Thinking Ability in Indonesia. International E-Journal of Advances in Education, 3(9), 705–715. https://doi.org/10.18768/ijaedu.390554

  Purwandari, A., & Wahyuningtyas, D. T. (2017). Eksperimen Model Pembelajaran Teams Games Tournament (TGT) Berbantuan Media Keranjang Biji-Bijian Terhadap Hasil Belajar Materi Perkalian dan Pembagian Siswa Kelas II SDN Saptorenggo 02. Jurnal Ilmiah Sekolah Dasar, 1(3), 163–170.

  Rohmah, N. N. S., Wilandari, M. D., & Darsinah. (2022). Teori Perkembangan Jean Piaget dan Implikasinya Dalam Perkembangan Anak Sekolah Dasar. Jurnal Ilmiah Wahana Pendidikan, 8(12), 230–239. https://doi.org/10.5281/zenodo.6944543

  Setyawati, R. D., Nurbaiti, I., & Ariyanto, L. (2017). Analisis Kemampuan Berpikir Aljabar Siswa Kelas VIII Ditinjau dari Self Efficacy. Jurnal Ilmiah Pendidikan Matematika, 5(1), 62–69.

  Siew, N. M., Geofrey, J., & Lee, B. N. (2016). Students’ Algebraic Thinking and Attitudes Towards Algebra: The Effects of Game-Based Learning Using Dragonbox 12 + App. The Electronic Journal of Mathematics and Technology, 10(1).

  Suherman, E. (2003). Strategi Pembelajaran Matematika Kontemporer. JICA.

  Suryadi, D. (2010). Didactical Deign Research dalam Pengembangan Pembelajaran Matematika. Seminar Nasional Pembelajaran MIPA. Malang.

  Tampubolon, T. (2018). The Application of Bruner’s Learning Theory on Teaching Geometric at SMP Negeri 2 Sipahutar in Academic Year 2017/2018. International Journal of Advanced Rngineering, Management and Science, 4(5), 351–356. https://doi.org/10.22161/ijaems.4.5.1

There is no Supplemental content for this article.

How to Cite This

Article Metrics

Copyright and Permissions

Authors published in this journal agree to the following terms:

• The copyright of each article is retained by the author (s) without restrictions
• The journal allows the author(s) to retain publishing rights without restrictions
• The author grants the journal the first publication rights with the work simultaneously licensed under the Creative Commons Attribution License, allowing others to share the work with an acknowledgement of authorship and the initial publication in this journal.
• Authors may enter into separate additional contractual agreements for the non-exclusive distribution of published journal versions of the work (for example, posting them to institutional repositories or publishing them in a book), with acknowledgement of their initial publication in this journal
• Authors are permitted and encouraged to post their work online (For example in the Institutional Repository or on their website) before and during the submission process, as this can lead to productive exchanges, as well as earlier and larger citations of published work
• Articles and all related material published are distributed under a Creative Commons Attribution-4.0 International Public License (CC - BY 4.0).

 

License

AlphaMath: Journal of Mathematics Education is licensed under a Creative Commons Attribution- 4.0 International Public License (CC - BY 4.0).

You are free to :

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially

Data Availability