Developing Mathematics Problem Based on PISA Level of Space and Shape Content to Measure Student’s Mathematics Problem Solving Ability

Riski Sahrida Nasution^1, , Kms. Muhammad Amin Fauzi¹ and Edi Syahputra¹

¹State University of Medan, Jalan William Iskandar Pasar V, Medan, Indonesia

Cite this paper:
Riski Sahrida Nasution, Kms. Muhammad Amin Fauzi and Edi Syahputra. Developing Mathematics Problem Based on PISA Level of Space and Shape Content to Measure Student’s Mathematics Problem Solving Ability. American Journal of Educational Research. 2019; 7(10):660-669. doi: 10.12691/education-7-10-1

Abstract

This research aims to produce mathematics problems based on the PISA level content of Space and Shape with valid and practical procedures for developing problems and measure students' mathematics Problem-solving ability. The method used in this research is the development research method. This research consists of two stages, namely preliminary and formative evaluation stages which include self-evaluation, expert reviews, one-to-one, small groups, and field tests. Data collection techniques are based on walk-throughs, documents, tests, and questionnaires. After going through the one-to-one, small group, and descriptive validation stages, the questions were tested in the field test stage in class VIII of SMP Negeri 1 Padangsidimpuan. The results show the average value of mathematics problem-solving ability is 56.07 and it is categorized as Enough mathematics problem-solving ability, although there are still students who categorized in low. From these results, it can be said that developed PISA level questions are categorized as valid and practical criteria and have a potential effect on students' mathematics problem-solving abilities.

Keywords:
development research mathematics problem solving ability Pisa model mathematics problem space and shape

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References:

[1]	Edo, S.I., Ilma, R., & Hartono, Y., “Investigating Secondary School Students’ Difficulties in Modeling Problems PISA Model Level 5 And 6,” IndoMS Journal on Mathematics Education (IndoMS - JME), 4 (01). 41-58. January. 2013.
[2]	OECD, “PISA 2009 Results: Executive Summary,” New York: Columbia University. 2012.
[3]	Saenz, Cesar, “The Role of Contextual, Conceptual and Procedural Knowledge in Activating Mathematical Competencies (PISA),” Madrid: Springer. 2008.
[4]	Silva, Evy Yosita dkk. “Pengembangan Soal Matematika Model Pisa pada Konten Uncertainty untuk Mengukur Kemampuan Pemecahan Masalah Matematika Siswa Sekolah Menengah Pertama,” 2010. [Online] Avalaible: http://ejournal.unsri.ac.id/index.php/jpm/article/view.
[5]	Riyanto, Wardono, dan Wijayanti, K., “Keefektivan PMRI Berbantuan Alat Peraga Terhadap Kemampuan Pemecahan Masalah Serupa PISA Pada Kelas VII,” Jurnal Kreano, Vol. 5 No. 1, 33-44. Juni. 2014.
[6]	Wardhani, Sri dan Rumiati., “Instrumen Penilaian Hasil Belajar Matematika SMP: Belajar dari PISA dan TIMSS,” Pusat Pengembangan dan Pemberdayaan Pendidik dan Tenaga Kependidikan Matematika. Yogyakarta. 2011.
[7]	Kohar, A. W., Zulkardi, Z., & Darmawijoyo, D., “Developing PISA-like mathematics task to promote student‟s mathematical literacy," Proceedings of the 2nd SEA-DR (South East Asia Development Research) International Conference 2014 (SEADRIC 2014). Paris: Atlantis Press. 2014.
[8]	Zulkardi dan Putri, R. I., “Mendesain Sendiri Soal Kontekstual Matematika,” Prosiding in Konferensi Nasional Matematika ke 13. 1-7. Semarang. 2006.
[9]	Kertayasa, I Ketut., “Indonesia PISA Center: Mathematics”. 2014. [online]. Avalaible. website for CBAM. http://www.indonesiapisacenter.com/2014/03/tentangwebsite.html. diakses tanggal 21-04-2019.
[10]	Kohar, Ahmad Bachidul dan Zulkardi.,“Pengembangan Soal Berbasis Literasi Matematika dengan Menggunakan Kerangka PISA Tahun 2012”. Prosiding Konferensi Nasional Matematika XVII. Universitas ITS, Surabaya. 2014.
[11]	Wardhani, Sri dan Rumiati., “Instrumen Penilaian Hasil Belajar Matematika SMP: Belajar dari PISA dan TIMSS,” Pusat Pengembangan dan Pemberdayaan Pendidik dan Tenaga Kependidikan Matematika. Yogyakarta. 2011.
[12]	Mardhiyanti, D., Putri, R. I. I., & Kesumawati, N., “Pengembangan soal matematika model pisa untuk mengukur kemampuan komunikasi matematis siswa sekolah dasar,” Jurnal Pendidikan Matematika UNSRI, 5(1). 16-29. 2013.
[13]	Kamaliyah, K., Zulkardi, Z., & Darmawijoyo, D., “Developing the sixth level of PISA-like mathematics problems for secondary school students,” Journal on Mathematics Education, 4(1). 9-28. January. 2014.
[14]	Oktiningrum, W., Zulkardi, Z., & Hartono, Y., “Developing PISA-like mathematics task with Indonesia natural and cultural heritage as context to assess students' mathematical literacy.” Journal on Mathematics Education, 7(1). 1-8. January. 2016.
[15]	OECD., “PISA 2012 Results: What Students Know and Can Do, Student Performance in Mathematics, Reading and Science (Volume 1).” Paris: OECD Publishing. 2013.
[16]	Suwaji, Untung Trisna.,”Permasalahan Pembelajaran Geometri Ruang SMP dan Alternatif Pemecahannya.” Pusat Pengembangan Permeberdayaan Pendidik dan Tenaga Kependidikan Matematika. Yogyakarta: 2008.
[17]	Halat, E., “Reform-Based Curriculum and Motivation in Geometry.” Eurasia Journal of Mathematics, Science & Technology Education, 4(3). 285-292. February. 2008.
[18]	Wardhani, S., “Intrumen Penilaian Hasil Belajar Matematika SMP: Belajar dari PISA dan TIMSS,” Dirjen Peningkatan Mutu Pendidik dan Tenaga Kependidikan, P4TK, Jogyakarta. 2011..
[19]	Wati, E. H., & Murtiyasa, B., “Kesalahan Siswa Smp Dalam Menyelesaikan Soal Matematika Berbasis Pisa Pada Konten Change And Relationship.” Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya (KNPMP I).UMS, 2502-6526. 2016
[20]	Ojose, B., ”Mathematics Literacy: Are we able to put the mathematics we learn into everyday use.” Journal of Mathematics Education, 4(1). 89-100. June. 2011.
[21]	OECD, “PISA 2015 Results: Excellence and Equity in Education (Volume 1).” Paris: OECD Publishing. 2016.
[22]	Wardono., “The Realistic Learning Model With Character Education And PISA Assessment To Improve Mathematics Literacy.” International Journal of Education and Research, Vol. 2. No.7. July. 2014.
[23]	Daulay, I.S., “Peningkatan Kemampuan Pemecahan Masalah Matematika dan Motivasi Belajar Siswa SMP Melalui model Pembelajaran Berbasis Masalah.” PARADIKMA. Medan. 2016.
[24]	OECD., “PISA 2012 Results: What Students Know and Can Do, Student Performance in Mathematics, Reading and Science (Volume 1).” Paris: OECD Publishing. 2013.
[25]	Nasution, S. U., Surya, E., & Fauzi, A. M. Kms., “Differences Between Mathematical Problem-Solving Ability Of Students Taught Using Cooperative Learning Model Nht And Stad.” Jurnal IJARIIE, Vol-3 Issue-2. 2165-2169. February. 2017
[26]	Ruseffendi, E. T.Dkk., “Pendidikan Matematika 3.” Jakarta: Depdikbud. 1991.
[27]	OECD., “PISA 2015 Results: Excellence and Equity in Education (Volume 1).” Paris: OECD Publishing. 2016.
[28]	OECD., “PISA 2012 Results in Focus: What 15-year-old know and what they can do with what they know.” Paris: OECD Publishing. 2014.
[29]	Kohar, A., W., “Pengembangan Soal Matematika Model PISA: Sebuah Alternatif Langkah Awal Memperbaiki Prestasi Literasi Matematika Siswa Indonesia.” 2014. [Online] Avalaible http://edukasi.kompasiana.com/
[30]	Jurnaidi, J & Zulkardi, Z., “Pengembangan Soal Model Pisa pada Konten Change and Relationship untuk Mengetahui Kemampuan Penalaran Matematis Siswa Sekolah Menengah Pertama. Jurnal Pendidikan Matematika, Vol. 8, No. 1. 25-42. Juli. 2013
[31]	Tessmer, M., “Planning and conducting formative evaluations: Improving the quality of education and training.” London: Kogan Page. 1998
[32]	Arikunto, S., “Prosedur Penelitian.” Rineka Cipta. Jakarta. 2009.
[33]	Arikunto, S., “Dasar-dasar Evaluasi Pendidikan.” Bumi Aksara. Jakarta. 2012.
[34]	Trianto., “Mendesain Model Pembelajaran Inovatif-Progresif.” Prenada Media Group. Jakarta. 2010.
[35]	Riduwan., “Belajar Mudah Penelitian.” Alfabeta. Bandung. 2011
[36]	Arikunto, S., “Prosedur Penelitian.” Rineka Cipta. Jakarta. 2009.
[37]	Lestari, N., Hartono, Y., & Purwoko., “Pengaruh Pendekatan Open-Ended Terhadap Penalaran Matematika Siswa Sekolah Menengah Pertama Palembang.” Jurnal Pendidikan Matematika. 10 (1). 82-97. Januari. 2016.
[38]	Charmila N, Zulkardi, Darmawijoyo., “Pengembangan Soal Matematika Model PISA Menggunakan Konteks Jambi.” Jurnal Penelitian dan Evaluasi Pendidikan. Vol. 20, No. 2.198-207. Desember. 2016.