### A Secondary Student’s Problem Solving Ability in Learning Based on Realistic Mathematics with Ethnomathematics

Farida Nursyahidah^{(1*)}, Bagus Ardi Saputro

^{(2)}, Maya Rini Rubowo

^{(3)}

(1) Universitas PGRI Semarang

(2) Universitas PGRI Semarang

(3) Universitas PGRI Semarang

(*) Corresponding Author

#### Abstract

*The aim of this research is to describe profile of problem solving ability of secondary students with high mathematical ability in learning based on realistic mathematics supported by ethnomathematics. This study is descriptive qualitative reasearch. The method of data collection used in this study are written test and interview. Subject of this study is secondary students on class VIIIA SMPN 37 Semarang. The data analysed in this study is problem solving ability which is suitable to problem solving ability of Polya and result of an interview to research subject. The result of this study is profile of problem solving ability of the high mathematical ability student is very good. The student problem solving ability starting from understanding the problem completely and make good planning to solve the problem, then he can do the correct process and produce the right answer. In addition, he could look back the process but still uncomplete yet. Furthermore, hopefully this result will help the teacher in choosing the appropriate strategy or instructional approach in order to improve the students problem solving ability.*

#### Keywords

#### Full Text:

PDF#### References

Ascher, M. (1991). Ethnomathematics: A Multicultural View of Mathematics Ideas. New York: Capman & Hall.

D’Ambrosio, U. (1985). Ethnomathematics and Its Place in the History and Pedagogy of Mathematics. Tersedia pada http://www.math.utep.edu/Faculty/pmdelgado2/Math1319/History/D’AmbrOsio.pdf.

Donaldson, S.E. (2011). Teaching through Problem Solving: Practices of Four High School Mathematics Teachers. Unpublised Dissertation. Athens: The University of Georgia.

Fauziah, A. (2010). Peningkatan Kemampuan Pemahaman dan Pemecahan Masalah MatematikaSiswa SMP melalui Strategi REACT (Relating, Experiencing, Applying, Cooperating, Transfering). Bandung: Tesis UPI tidak diterbitkan.

Gravemeijer, K. (1994). Developing Realistic Mathematics Education. Utrecht: Technipress, Culemborg.

Grouws, D. A. (1985). The teacher and classroom instruction: Neglected themes in problem-solving research. In E. Silver (Ed.), Teaching and learning mathematical problem solving: Multiple research perspectives. Hillsdale, NJ: Lawrence Erlbaum.

Kahan, J. A., & Wyberg, T. R. (2003). Mathematics as sense making. In H. L. Schoen (Ed.), Teaching mathematics through problem solving: Grades 6–12 (pp. 15–25). Reston, VA: National Council of Teachers of Mathematics.

Lambdin, D. V. (2003). Benefits of teaching through problem solving. In F. K. Lester (Ed.), Teaching mathematical through problem solving: Prekindergarten–Grade 6 (pp. 3–13). Reston, VA: National Council of Teachers of Mathematics.

Lange, J. de (1996). Using and Applying Mathematics in Education. In: A.J. Bishop, et al. (eds). 1996. International handbook of Mathematics Education, Part one. 49-97. Kluwer academic publisher.

Lester, F. K. (1994). Musings about mathematical problem-solving research: 1970-1994. Journal for Research in Mathematics Education, 25(6), pp. 660-675.

Lester, F. K., Jr., & Charles, R. (Eds.). (2003). Teaching mathematics through problem solving: Prekindergarten–Grade 6. Reston, VA: National Council of Teachers of Mathematics.

Levasseur, K., & Cuoco, A. (2003) Mathematical habits of mind. In H. L. Schoen (Ed.), Teaching mathematics through problem solving: Grades 6–12 (pp. 27–37). Reston, VA: National Council of Teachers of Mathematics.

McCaffrey, D. F., Hamilton, L. S., Stecher, B. M., Klein, S. P., Bugliari, D., & Robyn, A. (2001). Interactions among instructional practices, curriculum, and student achievement: The case of standards-based high school mathematics. Journal for Research in Mathematics Education, 32(5), pp. 493-517.

Nasution, S. (2010). Berbagai Pendekatan Dalam Proses Belajar Mengajar. Jakarta: PT Bumi Aksara.

National Council of Supervisors of Mathematics. (1989). Essential mathematics for the twenty-first century: The position of the National Council of Supervisors of Mathematics. Mathematics Teacher, 81(1), 16-21.

National Council of Teachers of Mathematics. (1980). Problem solving in school mathematics: 1980 yearbook (S. Krulik and R. E. Reys, Eds.). Reston, VA: NCTM.

National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

Nursyahidah, F. (2013). Supporting First Grade Students’ Understanding of Addition up to 20 Using Traditional Game. IndoMS. J.M.E. Vol. 4 No. 2 July 2013, pp. 212-223.

Polya, G. (1945). How to solve it. Princeton, NJ: Princeton University Press.

Polya, G. (1973). How to Solve It (New of Mathematical Method). Second Edition. New Jersey: Prence University Press.

Prabawati, M.N. (2016). Etnomatematika Masyarakat Pengrajin Anyaman Rajapolah Kabupaten Tasikmalaya. Jurnal Infinity. Vol. 5 No. 1 Fabruari 2016.

Puspadewi, K. R. & Putra, N. N. (2014). Etnomatematika di Balik Kerajinan Anyaman Bali. Jurnal Matematika. Vol. 4 No. 2 Desember 2014. ISSN: 1693-1394.

Redhana, I.W. (2013). Model Pembelajaran Berbasis Masalah untuk Peningkatan Keterampilan Pemecahan Masalah dan Berpikir Kritis. Jurnal Pendidikan dan Pengajaran. Jilid 46 No. 1, Hal 76-86.

Reid, D. A. (2002). Conjectures and refutations in grade 5 mathematics. Journal for Research in Mathematics Education, 33(1), pp. 5-29.

Schoen, H. L. (Ed.). (2003). Teaching mathematics through problem solving: Grades 6–12. Reston, VA: National Council of Teachers of Mathematics.

Silver, E. A. (1985). Research on teaching mathematical problem solving: Some underrepresented themes and needed directions. In E. Silver (Ed.), Teaching and learning mathematical problem solving: Multiple research perspectives. Hillsdale, NJ: Lawrence Erlbaum.

Sugiyono. (2008). Memahami Penelitian Kualitatif. Bandung: Alfabeta.

Suroto. (2011). Upaya Meningkatkan Hasil Belajar Matematika Siswa Kelas VIIF SMP 2 Semarang melalui Penerapan Pengajuan Masalah pada Materi Bangun Datar Tahun Pelajaran 2010/2011. Jurnal Sains dan Matematika 1: 319-398.

Treffers, A. (1991). Realistic Mathematics Education in The Netherlands 1980-1990. In L. Streefland (ed.) Realistic Mathematics Education in Primary School. Utrecht: CD-b Press/Freudenthal Institute, Utrecht University.

Ubayanti, C. S., Happy, L., & Mayor, M.H.M. (2016). Eksplorasi Etnomatematika pada Sero (SET NET): Budaya Masyarakat Kokas Fakfak Papua Barat. Jurnal Ilmiah Matematika dan Pembelajarannya. Vol. 2 No. 1.

Wijaya, A. (2012). Pendidikan Matematika Realistik: Suatu Alternatif Pendekatan Pembelajaran Matematika. Graha Ilmu: Yogyakarta.

Wilson, J. W., Fernandez, M. L., & Hadaway, N. (1993). Mathematical problem solving. In P. S. Wilson (Ed.), Research ideas for the classroom: High school mathematics (pp. 57–78). New York, NY: Macmillan.

#### Article Metrics

Abstract view(s): 1718 time(s)PDF: 2097 time(s)

### Refbacks

- There are currently no refbacks.