•  
  •  
 

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Keywords

Pengembangan, problem-based learning, learning cycle 5E, penalaran matematis, komunikasi matematis, development, mathematical reasoning, mathematical communication

Document Type

Article

Abstract

Tujuan penelitian ini adalah menghasilkan perangkat pembelajaran Problem Based Learning (PBL) dalam Learning Cycle 5E (engagement, exploration, explanation, elaboration, evaluation) yang berorientasi pada kemampuan penalaran dan kemampuan komunikasi matematis dengan kualitas baik ditinjau dari aspek kevalidan, kepraktisan, dan keefektifan. Penelitian ini merupakan penelitian pengembangan yang menggunakan model pengembangan ADDIE. Subjek uji coba dalam penelitian ini adalah 32 siswa kelas VIII dari suatu SMP Negeri di Bantul. Instrumen yang digunakan dalam penelitian ini meliputi lembar validasi untuk menilai kevalidan, lembar penilaian guru dan siswa untuk menilai kepraktisan, tes kemampuan penalaran dan kemampuan komunikasi matematis untuk mengukur keefektifan. Penelitian ini menghasilkan perangkat pembelajaran berbasis PBL dalam Learning Cycle 5E yang berorientasi pada kemampuan penalaran dan kemampuan komunikasi matematis. Hasil validasi menunjukkan bahwa RPP dan LKPD yang dikembangkan memenuhi kriteria valid dengan kategori sangat baik. Kepraktisan perangkat pembelajaran yang dikembangkan mencapai kategori baik berdasarkan hasil penilaian guru dan siswa. Perangkat pembelajaran mencapai kategori efektif berdasarkan hasil tes kemampuan penalaran dan kemampuan komunikasi matematis. Persentase banyaknya siswa yang mencapai kategori minimal tinggi pada tes kemampuan penalaran mencapai 93,75% dan tes kemampuan komunikasi mencapai 87,5%. Dengan demikian, dapat disimpulkan bahwa perangkat pembelajaran yang dikembangkan layak digunakan dalam pembelajaran matematika.

Learning kit of problem-based learning in the learning cycle 5E oriented to mathematical reasoning and communication skills

Abstract

The purpose of this research was to produce a learning kit of Problem Based Learning (PBL) in Learning Cycle 5E (engagement, exploration, explanation, elaboration, evaluation) which was oriented to mathematical reasoning and communication skills with good quality in terms of validity, practicality, and effectiveness. This research was a development study that uses the ADDIE development model. The test subjects in this study were 32 students of 8th-grade from a state junior high school in Bantul, Indonesia. The instruments used in this study include validation sheets to assess validity, teacher and student assessment sheets to assess practicality, tests of mathematical reasoning and communication skills to measure effectiveness. This research produces a PBL-based learning kit in Learning Cycle 5E which was oriented to mathematical reasoning and communication skills. The validation results show that the lesson plan and worksheet that were developed meet the valid criteria with excellent categories. The practicality of the developed learning kit reaches good categories based on the results of the teacher and student assessment. Learning devices reach effective categories based on tests of mathematical reasoning and communication skills. The percentage of the number of students who reached the minimum high category on the reasoning test reached 93.75% and the communication test reached 87.5%. Thus, it can be concluded that the learning kit developed was suitable for use in mathematics learning.

Page Range

211 - 223

Issue

2

Volume

14

Digital Object Identifier (DOI)

10.21831/pg.v14i2.27771

Source

https://journal.uny.ac.id/index.php/pythagoras/article/view/27771

References

Agustyaningrum, N. (2011). Implentasi model pembelajaran learning cycle 5E untuk meningkatkan kemampuan komunikasi matematis siswa kelas IX B SMP Negeri 2 Sleman. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika, Jurusan Pendidikan Matematika, FMIPA Universitas Negeri Yogyakarta. Retrieved from https://eprints.uny.ac.id/7389/1/p-34.pdf

Albert, L. R. (2000). Outside-in - inside-out: Seventh-grade students' mathematical thought processes. Educational Studies in Mathematics, 41(2), 109-141. doi: https://doi.org/10.1023/A:1003860225392

Ansari, B. I. (2003). Menumbuh kembangkan kemampuan pemahaman dan komunikasi matematis siswa SMU melalui strategi think-talk-write (Unpublished doctoral dissertation). Universitas Pendidikan Indonesia, Bandung

Apino, E., & Retnawati, H. (2017). Developing instructional design to improve mathematical higher order thinking skills of students. Journal of Physics: Conference Series, 812, 1-7. doi: https://doi.org/10.1088/1742-6596/812/1/012100

Baroody, A. J. (1993). Problem solving, reasoning, and communicating. New York, NY: Macmillan Publishing.

Fatimah, F. (2012). Kemampuan komunikasi matematis dan pemecahan masalah melalui problem based-learning. Jurnal Penelitian dan Evaluasi Pendidikan, 16(1), 249-259. doi: https://doi.org/10.21831/pep.v16i1.1116

Hmelo-Silver, C. E. (2004). Problem-based learning: What and how do students learn? Educational Psychology Review, 16(3), 235-266. doi: https://doi.org/10.1023/B:EDPR.0000034022.16470.f3

Jailani, J., Sugiman, S., & Apino, E. (2017). Implementing the problem-based learning in order to improve the students' HOTS and characters. Jurnal Riset Pendidikan Matematika, 4(2), 247-259. doi: https://doi.org/10.21831/jrpm.v4i2.17674

Jun, W., Lee, E., Park, H., Chang, A., & Kim, M. (2013). Use of the 5E learning cycle model combined with problem-based learning for a fundamentals of nursing course. Journal of Nursing Education, 52, 681-689. doi: https://doi.org/10.3928/01484834-20131121-03

Khamid, A., & Santosa, R. H. (2016). Keefektifan pendekatan PBL dan CTL ditinjau dari komunikasi matematis dan motivasi belajar siswa SMP. Pythagoras: Jurnal Pendidikan Matematika, 11¬(2), 111-122. doi: https://doi.org/10.21831/pg.v11i2.10660

Kusumawati, R. D., Sudarisman, S., & Maridi, M. (2014). Keefektifan penerapan model problem-based learning (PBL) dan model learning cycle 7E (LC7E) serta integrasinya terhadap hasil belajar ditinjau dari kemampuan regulasi diri dan kreativitas siswa. Jurnal BIOEDUKASI, 7(1), 1-9. doi: https://doi.org/10.20961/bioedukasi-uns.v7i1.2692

Lorsbach, A. W. (2002). The learning cycle as a tool for planning science instruction. Retrieved from http://sciencemattersnow.com/wp-content/uploads/2012/01/5-Es-Cycle1.pdf

Mullis, I. V. S., Martin, M. O., & Foy, P. (2008). TIMSS 2007 international mathematics report: Findings from IEA's trends in international mathematics and science study at the fourth and eighth grades. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College. Retrieved from https://timssandpirls.bc.edu/ TIMSS2007/mathreport.html

Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). TIMSS 2011 international results in mathematics. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College. Retrieved from https://timss.bc.edu/timss2011/international-results-mathematics.html

NCTM. (2000). Principles and standards for school mathematics. Reston, VA: Author.

Permana, Y., & Sumarmo, U. (2007). Mengembangkan kemampuan penalaran dan koneksi matematik siswa SMA melalui pembelajaran berbasis masalah. Jurnal Educationist, 1(2), 116-123. Retrieved from http://ejournal.sps.upi.edu/index.php/educationist/article/view/59/43

Rafli, M. F., Syahputra E., & Yusnandi, Y. (2018). Influence of problem based learning model and early mathematics ability to mathematical communication skills and self-confidence in junior high school. American Journal of Educational Research, 6(11), 1539-1545. doi: https://doi.org/10.12691/education-6-11-12

Rahmadi, F. (2015). Pengembangan perangkat pembelajaran berbasis pemecahan masalah berorientasi pada kemampuan penalaran dan komunikasi matematika. Pythagoras: Jurnal Pendidikan Matematika, 10(2), 137-145. doi: https://doi.org/10.21831/pg.v10i2.9133

Saragih, S. (2007). Mengembangkan kemampuan berpikir logis dan komunikasi matematis siswa SMP melalui pendekatan matematika realistik (Unpublished doctoral dissertation). Universitas Pendidikan Indonesia, Bandung.

Shadiq, F. (2007). Laporan hasil seminar dan lokakarya pembelajaran matematika 15-16 Maret 2007 di P4TK Matematika. Retrieved from https://dokumen.tips/documents/laporan-hasil-seminar-dan-lokakarya-pembelajaran-matematika-15-16-maret-2007-di-p4tk-pppg-matematika.html

Tuna, A., & Kaçar, A. (2013). The effect of 5E learning cycle model in teaching trigonometry on students' academic achievement and the permanence of their knowledge. International Journal on New Trends in Education and Their Implications, 4(1), 73-87. Retrieved from http://www.ijonte.org/FileUpload/ks63207/File/07.tuna.pdf

Vygotsky, L. S. (1986). Thought and language (A. Kozulin, Trans.). Cambridge, England: The MIT Press. (Original work published 1934).

Widjajanti, D. B. (2009). Mengembangkan keyakinan (belief) siswa terhadap matematika melalui pembelajaran berbasis masalah. Prosiding KNPM3. Retrieved from http://staffnew.uny.ac.id/upload/131569335/ penelitian/Makalah+Medan-2.pdf

Widoyoko, E. P. (2016). Teknik teknik penyusunan instrumen penelitian. Yogyakarta: Pustaka Pelajar.

Yeni, N. (2017). The effect of teaching model 'learning cycles 5e' toward students' achievement in learning mathematic at X years class SMA Negeri 1 Banuhampu 2013/2014 academic year. Journal of Physics: Conference Series, 812, 1-5. doi: https://doi.org/10.1088/1742-6596/812/1/012107

Yuliani, N., Huriah, T., & Primanda, Y. (2017). Pengaruh siklus belajar 5E kombinasi problem-based learning (PBL) terhadap peningkatan kognitif, afektif, psikomotor pada mahasiswa diploma keperawatan. Indonesian Journal of Nursing Practices, 1(3), 91-100. doi: https://doi.org/10.18196/ijnp.1366

Yurianti, S., Yusmin, E. & Nursangaji, A. (2014). Kemampuan penalaran matematis siswa pada materi sistem persamaan dua variabel kelas X SMA. Jurnal Pendidikan dan Pembelajaran Khatulistiwa, 3(6), 1-9. Retrieved from http://jurnal.untan.ac.id/index.php/jpdpb/article/view/5461/6148

Share

COinS