Realistic Mathematics Textbook Toward The Students’ Mathematical Generalization Skills

Authors

  • Fevi Rahmawati Suwanto Universitas Negeri Medan
  • Ariyadi Wijaya Universitas Negeri Yogyakarta
  • Aprisal Universitas Sulawesi Barat
  • Asri Fauzi Universitas Mataram
  • Yunda Victorina Tobondo Universitas Kristen Tentena

DOI:

https://doi.org/10.31980/mosharafa.v12i2.784

Keywords:

Buku Teks, Kemampuan generalisasi, Pendidikan Matematika Realistik, Generalization Ability, Realistic Mathematics Education, Textbook

Abstract

Generalisasi merupakan ciri siswa dapat berpikir matematis. Guru dapat mengembangkan bahan ajar berbentuk buku teks untuk memfasilitasi kemampuan generalisasi. Penelitian ini merupakan hasil pengembangan model ADDIE yaitu tahap penerapan dan evaluasi, dengan produk berupa buku teks matematika kelas VIII semester genap yang berorientasi pada kemampuan generalisasi matematis siswa. Buku teks dengan pendekatan Pendidikan Matematika Realistik (RME) ini memuat lima prinsip meliputi eksplorasi fenomenologi, menjembatani dengan instrumen vertikal, kontruksi dan produksi siswa, interaktivitas, dan keterkaitan. Melalui alur kegiatan pemberian lebih dari satu konteks permasalahan, identifikasi kesamaan pola atau strategi hingga penarikan kesimpulan terkait materi, serta pemberian latihan soal pemodelan, buku teks ini telah memfasilitasi kemampuan generalisasi matematis. Berdasarkan hasil penerapan buku teks yang melibatkan 30 siswa kelas VIII salah satu SMP Negeri di Yogyakarta, persentase banyaknya siswa pada kategori good memenuhi batas minimal 75% yaitu mencapai 93,33%.

Generalization is a feature that students can think mathematically. Teachers can develop teaching materials in the form of textbooks to facilitate generalization abilities. This study was the developmental stage of ADDIE model, namely the implementation and evaluation. The study produced a textbook for 8th grade even semester which was oriented to students' mathematical generalization skills. The textbook integrating a realistic mathematics education approach contained five principles including phenomenological exploration, bridging by vertical instruments, pupils’ own constructions and productions, interactivity, and intertwining. The flow of activities provided more than one problem context, identifying similarities in patterns or strategies to draw conclusions related to the material as well as modeling exercises to facilitate students' mathematical generalization abilities. Based on the results of textbook implementation involving 30 8th grade students from one of a state junior high school in Yogyakarta, the percentage of students in good category met the minimum point of 75%, which reached 93.33%.

References

Afriansyah, E. A. (2016). Makna Realistic dalam RME dan PMRI. Lemma, 2(2), 145174.

Afriansyah, E. A. (2022). Peran RME terhadap Miskonsepsi Siswa MTs pada Materi Bangun Datar Segi Empat. Mosharafa: Jurnal Pendidikan Matematika, 11(3), 359-368.

Auliya’, K., & Widjajanti, D. B. (2023). Singaporean and Japanese Maths Textbooks: Character, Structure, and Content. Mosharafa: Jurnal Pendidikan Matematika, 12(1), 155-168.

Branch, R. M. (2009). Instructional Design: The ADDIE Approach. New York: Springer Science+Business Media, LLC.

Dani, S., Pujiastuti, H., & Sudiana, R. (2017). Pendekatan Realistic Mathematics Education untuk Meningkatkan Kemampuan Generalisasi Matematis Siswa. JPPM, 10(2), 182–193.

Dickinson, P., Hough, S., Searle, J., & Barmby, P. (2011). Evaluating the impact of a Realistic Mathematics Education project in secondary schools. Proceedings of the British Society for Research into Learning Mathematics, 31(November), 47–52.

Fitri, J., Fitri, D. Y., & Jufri, L. H. (2022). Lembar Kerja Peserta Didik Berbasis Realistic Mathematics Education pada Materi Teorema Pythagoras. Plusminus: Jurnal Pendidikan Matematika, 2(3), 405-416.

Gravemeijer, K. (2010). Realistic Mathematics Education Theory as a Guideline for Problem-Centered, Interactive Mathematics Education. In R. K. Sembiring, K. Hoogland, & M. Dolk (Eds.), A Decade of PMRI in Indonesia (pp. 41–50). Bandung.

Hadi, S. (2017). Pendidikan Matematika Realistik: Teori, Pengembangan, dan Implementasinya. Jakarta: Rajawali Pers.

Hashemi, N., Abu, M. S., Kashefi, H., & Rahimi, K. (2013). Generalization in the Learning of Mathematics. 2nd International Seminar on Quality and Affordable Education (ISQAE 2013), (Isqae), 208–215.

Hayuningrat, S., & Rosnawati, R. (2022). Development of learning tools based on realistic mathematics approach that oriented to high school students. Jurnal Riset Pendidikan Matematika, 9(2).

Mason, J. (1996). Expressing generality and roots of algebra. In N. Bednarz, C. Kieran, & L. Lee (Eds.). Approaches to algebra: Perspectives for Research and Teaching (pp. 65–86). Dordrecht: Kluwer Academic Publishers.

Mata-Pereira, J., & Ponte, J.-P. (2017). Enhancing students’ Mathematical Reasoning in the Classroom: Teacher Actions Facilitating Generalization and Justification. Educational Studies in Mathematics, 96, 169–186.

Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). Timss 2011 International Results in Mathematics. Chestnut Hill: TIMSS & PIRLS International Study Center.

Mulyo, M. R. G. T., Sari, A. F., & Syarifuddin, A. (2019). Proses Berpikir Siswa Bergaya Kognitif Visualizer dalam Menyelesaikan Masalah TIMSS Non Geometri. Mosharafa: Jurnal Pendidikan Matematika, 8(1), 167-178.

Mutiarahman, W., Edriati, S., & Suryani, M. (2023). Lembar Kerja Peserta Didik Berbasis Realistic Mathematics Education pada Materi Peluang. Plusminus: Jurnal Pendidikan Matematika, 3(1), 159-170.

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

Nurhasanah, A., Syafari, R., & Nurfaidah, A. R. (2022). Kesesuaian Buku Teks Matematika Berdasarkan Kurikulum 2013. Mosharafa: Jurnal Pendidikan Matematika, 11(2), 227-236.

Nurhikmayati, I., & Jatisunda, M. G. (2019). Pengembangan Bahan Ajar Matematika Berbasis Scientific yang Berorientasi pada Kemampuan Berpikir Kritis Matematis Siswa. Mosharafa: Jurnal Pendidikan Matematika, 8(1), 49-60.

Nurmawanti, I., & Sulandra, I. M. (2020). Exploring of Student’s Algebraic Thinking Process Through Pattern Generalization using Similarity or Proximity Perception. Mosharafa: Jurnal Pendidikan Matematika, 9(2), 191-202.

Panhuizen, V., D., H. (2003). The Didactical Use of Models in Realistic Mathematics Education: An Example from A Longituginal Trajectory on Percentage. Educational Studies in Mathematics, 54, 9–35.

https://doi.org/10.1023/B:EDUC.0000005212.03219.dc

Suryani, F. (2016). Pengaruh Pembelajaran Matematika dengan Metode Pemodelan Matematis (Mathematical Modeling) terhadap Kemampuan Penalaran Generalisasi Matematis. Skripsi: UIN Syarif Hidayatullah.

Suwanto, F. R., & Wijaya, A. (2018). Mathematical Generalization : A Systematic Review and Synthesis of Literature. 5th ICRIEMS Proceedings, 329–336. Sleman: Faculty Of Mathematics And Natural Sciences, Yogyakarta State University.

Suwanto, F. R., & Wijaya, A. (2021). The Enhancement of Students Mathematical Communication Ability Through RME-Textbook. SJME (Supremum Journal of Mathematics Education), 5(1), 43–52. https://doi.org/10.35706/sjme.v5i1.4412

Syaputra, A., Hidayati, D., & Hasanah, E. (2023). Mathematics Curriculum Management of Distance Learning Program in Junior High School. Mosharafa: Jurnal Pendidikan Matematika, 12(1), 71-80.

Tomy, A., Maimunah, M., & Yenita, R. (2021). Analisis Kelengkapan RPP Matematika pada Guru SMAN 5 Tapung. Mosharafa: Jurnal Pendidikan Matematika, 10(3), 391-400.

Treffers, A. (1987). Three Dimensions: A Model of Goal and Theory Description in Mathematics Instruction-The Wiskobas Project. Dordrecht: D. Reidel Publishing Company.

Veloo, A., Md-ali, R., & Ahmad, H. (2015). Effect of Realistic Mathematics Education Approach Among Pubic Secondary School Students In Riau , Indonesia. Australian Journal of Basic and Applied Sciences, 9(28), 131–135.

Wardana, M. Y. S., & Damayani, A. T. (2017). Persepsi Siswa terhadap Pembelajaran Pecahan di Sekolah Dasar. Mosharafa: Jurnal Pendidikan Matematika, 6(3), 451-462.

Widoyoko, E. P. (2017). Evaluasi program pembelajaran panduan praktis bagi pendidik dan calon pendidik. Yogyakarta: Pustaka Pelajar.

Wijaya, A. (2012). Pendidikan Matematika Realistik: Suatu alternatif pendekatan pembelajaran matematika. Yogyakarta: Graha Ilmu.

Yang, D.-C., Tseng, Y.-K., & Wang, T.-L. (2017). A comparison of geometry problems in middle-grade mathematics textbooks from Taiwan, Singapore, Finland, and the United States. Eurasia Journal of Mathematics, Science and Technology Education, 13(7), 2841–2857. https://doi.org/10.12973/eurasia.2017.00721a

Yulianto, A., Sisworo, S., & Hidayanto, E. (2022). Pembelajaran Matematika Berbantuan Video Pembelajaran untuk Meningkatkan Motivasi dan Hasil Belajar Peserta Didik. Mosharafa: Jurnal Pendidikan Matematika, 11(3), 403-414.

Zaneta, V. (2022). Media Game Online Ular Tangga Perkalian Bilangan Asli Dengan Pendekatan RME Kelas III SD. Plusminus: Jurnal Pendidikan Matematika, 2(2), 177-186.

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Published

2023-04-30

How to Cite

Suwanto, F. R., Wijaya, A., Aprisal, Fauzi, A., & Tobondo, Y. V. (2023). Realistic Mathematics Textbook Toward The Students’ Mathematical Generalization Skills. Mosharafa: Jurnal Pendidikan Matematika, 12(2), 291–300. https://doi.org/10.31980/mosharafa.v12i2.784

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