Jurnal Riset Pendidikan Matematika


teaching material, realistic mathematics education, mathematical reasoning, mathematical commnunication

Document Type



This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental class (using the developed textbook) and 29 students in a control class (using BSE book from the government). The teaching material was categorized valid if the expert's judgment at least is categorized as "good". The teaching material was categorized practical if both of teachers and students assessment at least categorized as "good". The teaching material was categorized effectively if minimum 75% of student scores at least is categorized as "good" for the mathematical reasoning test and mathematical communication test. This research resulted in a valid, practical, and effective teaching material. The resulted of the validation show that material teaching is valid. The resulted of teachers and students assessment show that the product is practical. The tests scores show that the product is effective. Percentage of students who categorized at least as "good" is 83,33% for the mathematical reasoning and 86,67% for the mathematical communication. The resulted of statistic test shows that the product more effective than the BSE book from the government in terms of mathematical reasoning and mathematical communication.

Page Range






Digital Object Identifier (DOI)





Arsaythamby, V., & Zubainur, C. M. (2014). How a realistic mathematics educational approach affect students' activities in primary schools? In WCPCG 2014 (Vol. 159, pp. 309-313). Procedia - Social and Behavioral Sciences. http://doi.org/10.1016/j.sbspro.2014.12.378

Asmida, A. (2011). Meningkatkan kemampuan penalaran dan komunikasi matematis siswa sekolah menengah pertama melalui pendekatan realistik:studi eksperimen di salah satu smp negeri di Bandung: Universitas pendidikan Indonesia. Retrieved from http://repository.upi.edu/10491/

Boesen, J., Lithner, J., & Palm, T. (2010). The relation between types of assessment tasks and the mathematical reasoning students use. Educational Studies in Mathematics, 75(1), 89-105. http://doi.org/10.1007/s10649-010-9242-9

Borg, W. R., & Gall, M. D. (1983). Educational research: An introduction. New York: Longman.

Brodie, K. (2010). Teaching mathematical reasoning in secondary school classrooms. (K. Brodie, Ed.). Boston, MA: Springer US. http://doi.org/10.1007/978-0-387-09742-8

Byrnes, J. P. (2008). Cognitive development and learning in instructional contexts. Boston, MA: Pearson/Allyn and Bacon Publishers.

Cowan, P. (2006). Teaching mathematics : a handbook for primary and secondary school teachers. New York: Routledge. Retrieved from https://books.google.co.id/books/about/Teaching_Mathematics.html?id=LQGV871u_OQC&redir_esc=y

Freudenthal, H. (1972). Mathematics as an Educational Task. Dordrecht: Springer Netherlands. http://doi.org/10.1007/978-94-010-2903-2

Gravemeijer, K. (1994). Developing realistic mathematics education = ontwikkelen van realistisch reken/wiskundeonderwijs (met een samenvatting in het Nederlands). Utrecht: Freudenthal Institute.

Hadi, S. (2005). Pendidikan matematika realistik dan implementasinya. Banjarmasin: Tulip.

Herman, T. (2007). Pembelajaran berbasis masalah untuk meningkatkan kemampuan penalaran matematis siswa SMP. Jurnal Cakrawala Pendidikan, XXVI(1), 41-62. http://doi.org/10.21831/cp.v1i1.8544

Hirschfeld-Cotton, K. (2008). Mathematical communication, conceptual understanding, and students' attitudes toward mathematics. Nebraska. Retrieved from http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1011&context=mathmidactionresearch

Makonye, J. P. (2014). Teaching functions using a realistic mathematics education approach: A theoretical perspective. Int J Edu Sci, 7(3), 653-662. Retrieved from http://krepublishers.com/02-Journals/IJES/IJES-07-0-000-14-Web/IJES-07-3-000-14-ABST-PDF/IJES-7-3-653-14-489-Makonye-J-P/IJES-7-3-653-14-489-Makonye-J-P-Tx[27].pdf

Menteri Pendidikan Nasional. Peraturan Menteri Pendidikan Nasional RI nomor 22, tahun 2006, tentang standar isi intuk satuan pendidikan dan menengah, Peraturan Menteri Pendidikan Nasional (2006).

Ministry of Education. (2007). Mathematics: The Ontario curriculum grades 11 and 12. Toronto. Retrieved from http://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf

Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). TIMSS 2011 international result in mathematics. Boston, MA: TIMSS & PIRLS International Study Center. Retrieved from https://timssandpirls.bc.edu/timss2011/downloads/T11_IR_Mathematics_FullBook.pdf

Nieveen, N. (1999). Prototyping to reach product quality. In Design Approaches and Tools in Education and Training (pp. 125-135). Dordrecht: Springer Netherlands. http://doi.org/10.1007/978-94-011-4255-7_10

Setiani, F. (2013). Pengembangan asesmen alternatif dalam pembelajaran matematika dengan pendekatan realistik di sekolah dasar. Jurnal Penelitian Dan Evaluasi Pendidikan, 15(2), 250-268. http://doi.org/10.21831/pep.v15i2.1096

Shadiq, F. (2007). Inovasi pembelajaran matematika dalam rangka menyongsong sertifikasi guru dan persaingan global. Yogyakarta. Retrieved from https://fadjarp3g.files.wordpress.com/2008/06/07-lapsemlok_limas_.pdf

The National Council of Teachers of Mathematics. (2000). NCTM principles and standards for school mathematics,. Association Drive, Reston, VA: Library of Congres Cataloguing-in-Publication Data. Retrieved from https://www.nctm.org/store/Products/NCTM-Principles-and-Standards-for-School-Mathematics,-Full-Edition-(PDF)/

Wahidin, W., & Sugiman, S. (2014). Pengaruh pendekatan PMRI terhadap motivasi berprestasi, kemampuan pemecahan masalah, dan prestasi belajar. PYTHAGORAS: Jurnal Pendidikan Matematika, 9(1), 99-109. http://doi.org/10.21831/PG.V9I1.9072

Webb, D. C., van der Kooij, H., & Geist, M. R. (2011). Design research in the Netherlands: Introducing logarithms using realistic mathematics education. Journal of Mathematics Education at Teachers College, 2(1). Retrieved from http://journals.tc-library.org/index.php/matheducation/article/view/639

Widoyoko, S. E. P. (2013). Evaluasi program pembelajaran: panduan praktis bagi pendidik dan calon pendidik. Yogyakarta: Pustaka Pelajar. http://doi.org/2013

Wijaya, A., van den Heuvel-Panhuizen, M., & Doorman, M. (2015). Opportunity-to-learn context-based tasks provided by mathematics textbooks. Educational Studies in Mathematics, 89(1), 41-65. http://doi.org/10.1007/s10649-015-9595-1

Zaini, A., & Marsigit, M. (2014). Perbandingan keefektifan pembelajaran matematika dengan pendekatan matematika realistik dan konvensional ditinjau dari kemampuan penalaran dan komunikasi matematik siswa. Jurnal Riset Pendidikan Matematika, 1(2), 152. http://doi.org/10.21831/jrpm.v1i2.2672