Pengembangan Perangkat Pembelajaran Problem Based Learning dan Hypothetical Learning Trajectory yang Berorientasi pada Kemampuan Penalaran Matematis Siswa

Authors

  • Khoirudin Universitas Negeri Yogyakarta
  • Ilham Rizkianto Universitas Negeri Yogyakarta

DOI:

https://doi.org/10.31980/mosharafa.v7i2.502

Keywords:

perangkat pembelajaran, problem based learning, hypothetical learning trajectory, kemampuan penaralan matematis, students’ mathematical reasoning skills, learning material

Abstract

Penelitian ini adalah research and development (R&D) yang bertujuan untuk mengembangkan perangkat pembelajaran berupa RPP dan LKS dengan pendekatan problem based learning dan hypothetical learning trajectory yang berorientasi pada kemampuan penalaran matematis siswa. Subjek penelitian ini adalah siswa kelas VII A SMP Negeri 1 galur dengan jumlah siswa sebanyak 22 siswa. Prosedur pengembangan penelitian ini adalah model ADDIE yang terdiri dari Analysis, Design, Development, Implementation, dan Evaluation. RPP dan LKS yang telah dikembangkan divalidasi dan direvisi sehingga layak untuk digunakan. Berdasarkan hasil penilaian kevalidan, RPP memenuhi kriteria sangat valid, sedangkan LKS memenuhi kriteria valid. Berdasarkan hasil penilaian kepraktisan, perangkat pembelajaran memenuhi kriteria sangat praktis dengan perolehan skor angket respon siswa 3,38 pada skala 4 dan angket respon guru 3,73 pada skala 4. Berdasarkan penilaian keefektifan dari tes kemampuan penalaran matematis diperoleh nilai rata-rata kelas yaitu 88 dan siswa yang memperoleh nilai minimal pada kategori “baik” sebesar 91%. Keefektifan perangkat pembelajaran pada kemampuan penalaran matematis didukung oleh one sample t-test dengan taraf signifikansi 0,05.

This research is a research and development (R&D) that aims to develop mathematics learning material that includes lesson plans and student worksheets based on a problem-based learning approach and hypothetical learning trajectory with an orientation on students’ mathematical reasoning skills. The subjects of this study were the students of class VII A SMP Negeri 1 Galur with a total of 22 students. The present study used the ADDIE model, consisting of Analysis, Design, Development, Implementation, and Evaluation. The lesson plans and student worksheets were validated and underwent several revisions to obtain appropriate results for use. Based on the result of the validation assessment, the lesson plan is “very valid”, while the validation assessment of student worksheets is “valid”. Based on the result of practicality, the learning material is “very practical” with 3.38 on a scale of 4 of the student questionnaire and  3.73 on a scale of 4 of the teacher questionnaire. Based on the effectiveness assessment using the mathematical reasoning student’s skill test, the average score of the class is 88 and 91% of students have minimum mathematical reasoning skills in the “good” category. The effectiveness of the learning material on mathematical reasoning students’ skills is also proved by one sample t-test with a level of significance 0.05.

References

Arends, R.I. (2012). Learning to Teach. New York: McGraw-Hill.

Clements, D.H. & Sarama, J. (2009). Learning and Teaching Early Math: The Learning Trajectory Approach. New York: Routledge

____. (2015). What Are “Learning Trajectories” and How Do They Help? University of Denver: Morgridge College of Education.

Dick, W., & Carey, L. (2009). The Systematic Design of Instruction (7th Ed.). New York: Harper Collins College Publishers.

Hamid, M.S. (2011). Metode Edutainment. Jogjakarta: Diva Press.

Julita. (2018). Peningkatan Kemampuan Pemecahan Dan Hasil Belajar

Matematika Melalui Problem Based-Learning. Mosharafa: Jurnal Pendidikan Matematika, 7(1), 143-154.

Kemendikbud. (2007). Peraturan Menteri Pendidikan Nasional Republik Indonesia Nomor 41 Tahun 2007 tentang Standar Proses untuk Satuan Pendidikan Dasar dan Menengah.

____. (2013). Peraturan Menteri Pendidikan dan Kebudayaan Nomor 23 Tahun 2013 tentang Standar Pelayanan Minimal Pendidikan Dasar di Kabupaten/Kota.

____. (2017). Model Silabus Mata Pelajaran Sekolah Menengah Pertama/Madrasah Tsanawiyah (SMP/MTs).

Savery, J.R. (2006). Overview of problem based learning: definition and distinctions. The Interdisciplinary Journal of Problem Based Learning, 1(1), 9-20.

Miao, Y., Holst, S.J., Haake, J.M., et al. (2000). PBL-protocols: Guiding and Controlling Problem Based Learning Process in Virtual Learning Environment. GMD: Darmstad.

NCTM. (2000). Principles and Standards for School Mathematics. Reston: NCTM Inc.

Retnawati, H. & Farhan, M. (2014). Keefektifan PBL Dan IBL Ditinjau Dari Prestasi Belajar, Kemampuan Representasi Matematis, Dan Motivasi Belajar. Jurnal Riset Pendidikan Matematika, 227-240.

Shadiq, F. (2004). Pemecahan Masalah, Penalaran dan Komunikasi. Yogyakarta: PPPG.

Simon, M. A. (1995). Reconstructing Mathematics Pedagogy from A Constructivist Perspective. Research in Mathematics Education, 26, 114-145.

Simon, M. A. & Tzur, R. (2004). Explicating the Role of Mathematical Tasks in Conceptual Learning: An Elaboration of the Hypothetical Learning Trajectory. Mathematical Thinking and Learning, 6(2), 91-104.

Solihah, A. (2016). Pengaruh Model Pembelajaran Teams Games Tournament (TGT) Terhadap Hasil Belajar Matematika. Jurnal SAP 1(1), 45-53.

Wardhani, S. (2008). Analisis SI dan SKL Mata Pelajaran Matematika SMP/MTs Untuk Optimalisasi Pencapaian Tujuan. Yogyakarta: P4TK.

Widoyoko, E. P. (2017). Evaluasi Program Pembelajaran: Panduan Praktis Bagi Pendidik dan Calon Pendidik. Yogyakarta: Pustaka Pelajar.

World Bank. (2010). Inside Indonesia’s Mathematics Classrooms: A Timss Video Study of Teaching Practices and Student Achievement. Jakarta: Sektor Pengembangan Sumber Daya Manusia.

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Published

2018-05-30

How to Cite

Khoirudin, & Rizkianto, I. (2018). Pengembangan Perangkat Pembelajaran Problem Based Learning dan Hypothetical Learning Trajectory yang Berorientasi pada Kemampuan Penalaran Matematis Siswa. Mosharafa: Jurnal Pendidikan Matematika, 7(2), 207–218. https://doi.org/10.31980/mosharafa.v7i2.502

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