Improving the Mathematical Connection Ability of Middle-School Students through Realistic Mathematics Approach


  • Muhammad Hasbi Universitas Negeri Surabaya, Kampus Lidah Wetan, Jln. Lidah Wetan-Surabaya 60213, Indonesia
  • Agung Lukito Universitas Negeri Surabaya, Kampus Lidah Wetan, Jln. Lidah Wetan-Surabaya 60213, Indonesia
  • Raden Sulaiman Universitas Negeri Surabaya, Kampus Lidah Wetan, Jln. Lidah Wetan-Surabaya 60213, Indonesia
  • Muhammad Muzaini Universitas Cokroaminoto Palopo, Jl. Latamacelling, Tompotika-Palopo 91911, Sulawesi Selatan, Indonesia



This present study describes how do the process and results of the development of mathematics teaching based on realistic mathematics education to enhance the mathematical connection ability of Middle-School students. The teaching material development model refers to the 4-D Thiagarajan model which has 4 steps namely defining, designing, developing, and disseminating. This participant is studying distributed to learners from a Middle-School 2 Candi Sidoarjo. The study data were obtained with a validation sheet, an observation sheet of teacher and student activities, a student response questionnaire, and a mathematical connection ability test. The products of this study are the learning plan, student worksheets, and mathematical connection ability tests. The results showed that the learning material fulfilled the validity, practical and effective. The results of students' mathematical connection ability tests improved based on t-tests correlated and N-gain analysis. Therefore, it is possible to say that the development of mathematics teaching based on realistic mathematics education can enhance the ability of mathematical connections. As a suggestion, teachers in managing mathematics teaching are very necessary to develop the right tools, so that it has a positive impact on student learning outcomes, especially the ability of students' mathematical connections.

Keywords: Realistic Mathematics Education, Mathematical Connection, Middle-School, 4-D Model


Ary, D., Jacobs, L. C., Irvine, C. K. S., & Walker, D. (2018). Introduction to research in education. Cengage Learning.
Arikunto, S. (2012). Dasar-dasar evaluasi pendidikan edisi 2. Jakarta: Bumi Aksara.
Bell, F. H. (1978). Teaching and learning mathematics (in secondary schools). WC Brown Company.
Bergeson, T. (2000). Teaching and learning mathematics. State Superintendent of Public Instruction, Washington.
Cuoco, A. A., Goldenberg, E. P., & Mark, J. (1995). Connecting geometry with the rest of mathematics. Connecting mathematics across the curriculum, 183-197.
Coxford, A. F. (1995). The Case for Connection. Connecting Mathematics Across The Curriculum. Editor. House, P. A. Dan Coxford, A, F. Reston, Virginia: NCTM.
Depdikbud. (2014). Permendikbud No. 58 Tahun. 2014 Tentang Kurikulum 2013 Sekolah Menengah Pertama/Madrasah Tsanawiyah. Jakarta: Depdikbud.
De Lange, J. (1987). Mathematics, insight and meaning. University.
De Lange, J. (1996). Using and applying mathematics in education. In International handbook of mathematics education (pp. 49-97). Springer, Dordrecht.
Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2011). How to design and evaluate research in education. New York: McGraw-Hill Humanities/Social Sciences/Languages.
Freudenthal, H. (2012). Mathematics as an educational task. Springer Science & Business Media.
Freudenthal, H. (2006). Revisiting mathematics education: China lectures (Vol. 9). Springer Science & Business Media.
Gravemeijer, K., Cobb, P., Bowers, J., & Whitenack, J. (2012). Symbolizing, modeling, and instructional design. In Symbolizing and communicating in mathematics classrooms (pp. 235-284). Routledge.
Gravemeijer, K. P. (1994). Developing realistic Mathematics Education (Ontwikkelen van realistisch reken/wiskundeonderwijs). Freudenthal Institute, Utrecht, The Netherlands.
Haji, S., Abdullah, M. I., Maizora, S., Yumiati. (2017). Developing Students Ability of Mathematical Connection Through Using Outdoor Mathematics Learning. Journal of Mathematics Education. Vol 6,No. 1.
Hake, R. R. (1999). Analyzing change/gain scores. Unpublished.[online] URL: http://www. physics. indiana. edu/~ sdi/AnalyzingChange-Gain. pdf.
Hendriana, H., Slamet, U. R., & Sumarmo, U. (2014). Mathematical connection ability and self-confidence (an experiment on junior high school students through contextual teaching and learning with mathematical manipulative). International Journal of Education, 8(1), 1-11.
Hodgson, T. R. (1995). Connections as problem-solving tools. Connecting mathematics across the curriculum, 13-21.
Johnson, K. M., & Dan Litynsky, C. L. (1995). Breathing Life into Mathematics. Connecting Mathematics across the Curriculum Editor: House, PA dan Oxford, AF Reston, Virginia: NCTM.
Kauchak, D., & Eggen, P. (2016). Introduction to teaching: Becoming a professional. Pearson.
Kline, R. B. (2015). Principles and practice of structural equation modeling. Guilford publications.
Kwon, O. N. (2002). Conceptualizing the Realistic Mathematics Education Approach in the Teaching and Learning of Ordinary Differential Equations. Journal of the Korea Society of Mathematical Education Series: Research in Mathematical Education Vol. 6, No. 2.
Latif, S. (2017). Mathematical Connection Ability In Solving Mathematics Problem Based On Initial Abilities Of Students At SMPN 10 Bulukumba. Daya Matematis: Jurnal Inovasi Pendidikan Matematika, 4(2), 207-217.
Menanti, H., & Sinaga, B. (2018). Improve Mathematical Connections Skills with Realistic Mathematics Education Based Learning. In 3rd Annual International Seminar on Transformative Education and Educational Leadership (AISTEEL 2018). Atlantis Press. Doi: 10.2991/aisteel-18.2018.7
Morrison, G. R., Ross, S. J., Morrison, J. R., & Kalman, H. K. (2019). Designing effective instruction. Wiley.
National Council of Teachers of Mathematics (NCTM). (2000). Principles And Standards Schools Mathematics. Reston, VA:NCTM.
Nieveen, N. (1999). Prototyping to reach product quality. In Design approaches and tools in education and training (pp. 125-135). Springer, Dordrecht.
Nugraha, A. A. (2018). Analisis Kemampuan Koneksi Matematis Siswa SMP pada Materi Sistem Persamaan Linear Dua Variabel (SPLDV). Suska Jurnal of Mathematics Education. Vol. 4, No 1, 59-64.
OECD. (2018). PISA 2015 Results in Focus. New York: Columbia University.
Rohendi, D., & Dulpaja, J. (2013). Connected Mathematics Project (CMP) model based on presentation media to the mathematical connection ability of junior high school student. Journal of education and practice, 4(4).
Sawyer, A. (2008). Making connections: Promoting connectedness in early mathematics education. Navigating currents and charting directions, 429-435.
Siregar, N. D., & Surya, E. (2017). Analysis of students junior high school mathematical connection ability. International Journal of Sciences: Basic and Applied Research (IJSBAR), 33(2), 309-320.
Slavin, R. E., & Davis, N. (2006). Educational psychology: Theory and practice.
Saminanto, K. (2015). Analysis of mathematical connection ability in linear equation with one variable based on connectivity theory. International Journal of Education and Research, 3(4), 259-270.
Streefland, L. (1991). Fractions in realistic mathematics education: A paradigm of developmental research (Vol. 8). Springer Science & Business Media.
Streiner, D. L. (2003). Starting at the beginning: an introduction to coefficient alpha and internal consistency. Journal of personality assessment, 80(1), 99-103.
Thiagarajan, S. (1974). Instructional development for training teachers of exceptional children: A sourcebook.
Treffers, A. (2012). Three dimensions: A model of goal and theory description in mathematics instruction”The Wiskobas Project (Vol. 3). Springer Science & Business Media.
Urbina, S. (2004). Essentials of Psychological Testing. New Jersey: John Wiley & Sons.
Van den Heuvel-Panhuizen, M. H. A. M. (1996). Assessment and realistic mathematics education (Vol. 19). Utrecht University.
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).






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