Analisis Kemampuan Penalaran Matematis Siswa SMP dalam Menyelesaikan Soal Open-Ended pada Materi Teorema Pythagoras

Authors

  • Fadilah Gustin Khainingsih Universitas Riau, Indonesia
  • Maimunah Maimunah PPs Pendidikan Matematika, FKIP Universitas Riau, Indonesia
  • Yenita Roza PPs Pendidikan Matematika, FKIP Universitas Riau, Indonesia

DOI:

https://doi.org/10.33394/jk.v6i2.2566

Keywords:

Mathematical Reasoning, Open-Ended, Pythagoras.

Abstract

The purpose of this research is to analyze the mathematical reasoning ability of students when solving open-ended problems. The research method used was descriptive qualitative with a case study approach. The subject was as many as 15 students of a grade VIII-2 of SMPN 6 Mandau. The technique of collecting data in this research was a written test. Data analysis techniques were scoring, presenting data, and describing and drawing conclusions from the data collected.  The result of the study showed that the mathematical reasoning ability of the students was very determined when students solved problems, especially the open-ended problems. It could be demonstrated from the achievement of indicators of mathematical reasoning ability, drew a logical conclusion with the medium category, made analogy and generalization with very low categories as well as examining the validity of the statements with low categories. From the achievement of these indicators, it can be concluded that the average mathematical reasoning ability of students still is still categorized into low category. This is because students are still not accustomed of solving open-ended problems.

References

Ario, M. (2016). Analisis Kemampuan Penalaran Matematis Siswa SMK Setelah Mengikuti Pembelajaran Berbasis Masalah. Jurnal Ilmiah Edu Research, 5(2), 125–134.

Frastica, Z. R. (2013). Peningkatan Kemampuan Koneksi Matematis Pendekatan Open Ended pada Siswa SMP ditinjau dari Perbedaan Gender. Skripsi. UIN Sunan Kalijaga.

Hasyim, M., & Andreina, F. K. (2019). Analisis high order thinking skill (hots) siswa dalam menyelesaikan soal open ended matematika. FIBONACCI: Jurnal Pendidikan Matematika Dan Matematika, 5(1), 55–64.

Hidayatullah, M. S., Sulianto, J., & Azizah, M. (2019). Analisis Kemampuan Penalaran Ditinjau dari Kemampuan Pemecahan Masalah Matematis. TSCJ (Thinking Skills and Creativity Journal), 2(2), 93–102.

Maimunah, M., Sa’dijah, C., Purwanto, P., & Sisworo, S. (2016). Penerapan Model Pembelajaran Matematika Melalui Pemecahan Masalah untuk Meningkatkan Penalaran Matematis Siswa Kelas X-A SMA Al-Muslimun. Jurnal Review Pembelajaran Matematika, 1(1), 17–30. https://doi.org/10.15642/jrpm.2016.1.1.17-30

Nurkhaeriyyah, T. S., Rohaeti, E. E., & Yuliani, A. (2018). Analisis Kemampuan Penalaran Matematis Siswa Mts Di Kabupaten Cianjur Pada Materi Teorema Pythagoras. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(5), 827. https://doi.org/10.22460/jpmi.v1i5.p827-836

Puspendik. (2019). Diagnosa Hasil Ujian Nasional Tahun 2019. https://hasilun.puspendik.kemdikbud.go.id/#2019!smp!daya_serap!99&99&999!T&03&T&T&1&!1!&.

Rohaeti, E. E., Bernard, M., & Novtiar, C. (2019). Pengembangan Media Visual Basic Application untuk Meningkatkan Kemampuan Penalaran Siswa SMP dengan Pendekatan Open-Ended. Supremum Journal of Mathematics Education, 3(2), 95–108.

Rosnawati, R. (2013). Kemampuan Penalaran Matematis Siswa SMP Indonesia pada TIMSS 2011. Prosiding Seminar Nasional Penelitian, Pendidikan Dan Penerapan MIPA, 1–6. https://doi.org/10.4296/cwrj2701043

Ruslan, A. ., & Santoso, B. (2013). Pengaruh Pemberian Soal Open-Ended Terhadap Kemampuan Penalaran Matematis Siswa. Kreano, 4(2), 138–150.

Setiawan, A. (2016). Hubungan Kausal Penalaran Matematis terhadap Prestasi Belajar Matematika pada Materi Bangun Ruang Sisi Datar ditinjau dari Motivasi Belajar Matematika Siswa. Al-Jabar: Jurnal Pendidikan Matematika, 7(1), 91–100.

Somatanaya, A. A. G. (2017). Analisis Kemampuan Berfikir Nalar Matematis Serta Konstribusinya terhadap Prestasi Belajar Mahasiswa (Studi Terhadap Mahasiswa FKIP Pendidikan Matematika Universitas Siliwangi). Teorema: Jurnal Teori Dan Riset Matematika, 1(2), 55–62.

Sugiatno, S., & Husna, N. (2020). Isu-Isu Kosakata Matematis dalam Pembelajaran Matematika. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 6(1), 58–66 doi:https://doi.org/10.33394/jk.v6i1.2281.

Syutaridho. (2015). Pengembangan Soal Open Ended pada Pokok Bahasan Pythagoras. JPM RAFA: Jurnal Pendidikan Matematika, 1(1), 118–139.

Ubaidah, N. (2015). Meningkatkan kemampuan penalaran siswa melalui pembelajaran auditory intellectual repetition berbantuan buku siswa pada materi persamaan trigonometri. Fibonacci Jurnal Pendidikan Matematika Dan Matematika, 3(1), 11–22.

Wahyuni, Z., Roza, Y., & Maimunah. (2019). Analisis Kemampuan Penalaran Matematika Siswa Kelas X pada Materi Dimensi Tiga. Jurnal Ilmiah Pendidikan Matematika AL-QALASADI, 3(1), 81–92.

Yenni, & Aji, R. S. (2016). Analisis Kemampuan Penalaran Matematis Siswa SMP melalui Model Pembelajaran Numbered heads Together. Jurnal Prima, V(II), 73–81.

Downloads

Published

2020-07-04

How to Cite

Khainingsih, F. G., Maimunah, M., & Roza, Y. (2020). Analisis Kemampuan Penalaran Matematis Siswa SMP dalam Menyelesaikan Soal Open-Ended pada Materi Teorema Pythagoras. Jurnal Kependidikan: Jurnal Hasil Penelitian Dan Kajian Kepustakaan Di Bidang Pendidikan, Pengajaran Dan Pembelajaran, 6(2), 266–274. https://doi.org/10.33394/jk.v6i2.2566

Issue

Vol. 6 No. 2 (2020): July

Section

Articles

Citation Check

License

License and Publishing Agreement
In submitting the manuscript to the journal, the authors certify that:
  • They are authorized by their co-authors to enter into these arrangements.
  • The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
  • That it is not under consideration for publication elsewhere,
  • That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
  • They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
  • They agree to the following license and publishing agreement.
Copyright
Authors who publish with JK agree to the following terms:
  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. 
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
Licensing for Data Publication
JK use a variety of waivers and licenses, that are specifically designed for and appropriate for the treatment of data:
Other data publishing licenses may be allowed as exceptions (subject to approval by the editor on a case-by-case basis) and should be justified with a written statement from the author, which will be published with the article.

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.