Muslimin Muslimin, Ratu Ilma Indra Putri, Zulkardi Zulkardi, Nyimas Aisyah


Mathematical learning not only produces students who succeed in mathematical and procedural calculations but also develops religious thinking. Realistic mathematics education with the context of Islamic values makes students can imagine, which is one of the right ways to develop the skills of students’ creativity, collaboration, and communication. This study aims to describe the learning trajectory that can help students understand integers with a realistic mathematics education approach based on Islamic values. It is hoped that student responses are positive, meaningful, and enjoyable. This research uses the design research method, which is a form of a qualitative approach. There are three stages in this research, namely: preliminary design, experimental design, and retrospective analysis. The results showed that the Hypothetical Learning Trajectory (HLT) trial with an Islamic value-based context showed significant progress based on student responses. Initially, students had difficulty understanding integers, but they felt delighted to follow the learning process along with the habituation. The HLT technique used in habituation was through pilot experiments, followed by teaching experiments. Students respond very positively and are happy to follow it by seeing the very significant development of their abilities during the learning process.


Learning integers; Design research; Realistic Mathematics Education; Islamic values

Full Text:



Abdussakir. (2014). There is Mathematics in the Quran [in Bahasa]. Malang: UIN Maliki press.

Abdussakir. (2017). Internalization of Islamic Values in Mathematics learning with analogy strategies [in Bahasa]. National Seminar.

Abdussakir. (2018). Intergration Mathematics and Religions Teaching and Valuesin Elementary and Secondary School. The 1st International Conference on Mathematics and Islam (ICMIs). Mataram Indonesia: Unpublish.

Akker, J., Gravemeijer, K., McKenney, S., & Nieveen, N. (2006). Education Design Research. London: Routledge Taylor and Francis Group. https://doi.org/10.4324/9780203088364.

Asari, S., Fauziyah, N., & Uchtiawati, S. (2018). Improving teacher pedagogic competence in remote areas through lesson study activity. International Journal of Education and Literacy Studies, 6(2), 53-62. https://doi.org/10.7575/aiac.ijels.v.6n.2p.53.

Asy-Syaimaa' Hussain, L. K., & Ramli, A. F. (2017). Contribution of Islamic Civilization to the Mathematics Development. Wawasan: Jurnal Ilmiah Agama dan Sosial Budaya 2(2), 199-208.

Bakker, A. (2004). Design Research in Statistics Education on Symbolizing and Computer Tools. Utrech: CD-? Press.

Brandt, J., Burgener, L., Barth, M., & Redman, A. (2019). Becoming a Competent Teacher in Education for Sustainable Development: Learning Outcomes and Processes in Teacher Education. International Journal of Sustainability in Higher Education, 20(4), 630-653. https://doi.org/10.1108/IJSHE-10-2018-0183.

Coenders, F., & Verhoef, N. (2019). Lesson study: Professional development (PD) for beginning and experienced teachers. Professional Development in Education, 45(2), 217-230. https://doi.org/10.1080/19415257.2018.1430050.

Darra, M., & Kanellopoulou, E. M. (2019). The implementation of the lesson study in basic teacher education. A research Review Higher Education Studies, 9(3), 65-78. https://doi.org/10.5539/hes.v9n3p65.

Daryanto, T. (2012). The Concept of Creative Learning [in Bahasa]. Yogyakarta: Gava Media.

Denzin, N. K. (2017). Critical Qualitative Inquiry. Sage Journals, 23(1), 8-16. https://doi.org/10.1177/1077800416681864.

Dirgantoro, K. S. (2018). Mathematics teachers’ competencies in developing students’ mathematical competencies. Jurnal Pendidikan dan Kebudayaan, 8(2), 157-166. https://doi.org/10.24246/j.js2018.08.i2.p157-166.

Fauziah, A., Putri, R. I. I., Zulkardi, & Somakim. (2019). The Roster Context in Angle Learning for Primary School Pre Service Teacher. Journal of Physics: Conference Series, 1188(1), 012058. https://doi.org/10.1088/1742-6596/1188/1/012058.

Gravemeijer, K. (1994). Educational development and developmental research in mathematics education. Journal for Research in Mathematics Education, 25(5), 443-471. https://doi.org/10.2307/749485.

Gravemeijer, K. (2004). Local instructional theories as means of support for teacher in reform mathematics education. Mathematical Thinking and Learning, 6(2), 105-128. https://doi.org/10.1207/s15327833mtl0602_3.

Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In J. Akker, K. Gravemeijer, S. McKenney, & N. Nie, Educational Design Research (pp. 45-85). London: Taylor and Francis Ltd.

Hadi, S. (2017). Realistic Mathematics Education [in Bahasa]. Jakarta: PT. Rajagrafindo Persada.

Hendriana, H., Prahmana, R. C. I., & Hidayat, W. (2019). The Innovation of Learning Trajectory on Multiplication Operations for Rural Area Students in Indonesia. Journal on Mathematics Education, 10(3), 397-408. https://doi.org/10.22342/jme.10.3.9257.397-408.

Irawan, A., & Kencanawaty, G. (2017). Implementation of Realistic Mathematics Based Etnomathematics Learning [in Bahasa]. Journal of Medives, 1(2), 74-81.

Johnson, E. (2002). Contextual teaching and learning. Thaousand Oaks: Corwin Press. Inc.

Kamaliyah, Zulkardi, & Darmawijoyo. (2013). Developing the Sixth Level of PISA-Like Mathematics Problems for Secondary School Students. Journal on Mathematics Education, 4(1), 9-28. https://doi.org/10.22342/jme.4.1.559.9-28.

Kunter, M., Klusmann, U., Baumert, J., & Richter, D. (2013). Professional Competence of Teachers: Effects on Instructional Quality and Student Development. Journal of Educational Psychology, 105(3), 805-820. https://doi.org/10.1037/a0032583.

Kuntowijoyo. (2001). Muslims Without Mosques, Religious, Cultural, and Political Essays in the Frame of Transcendental Structuralism [in Bahasa]. Bandung: Mizan.

Kusumah, Y. S., & Nurhasanah, F. (2017). The Endless Long-Term Program of Mathematics Teacher Professional Development in Indonesia. In Kaur, Berinderjeet, Kwon, Oh Nam, Leong, & Yew Hoong, Professional Development of Mathematics Teachers: An Asian Perspective (pp. 978-981). Basel: Springer. https://doi.org/10.1007/978-981-10-2598-3_3.

Lubis, M. A. (2015). Effective Implementation Of The Integrated Islamic Education. Global Journal Al Thaqafah, 5(1), 59-68. https://doi.org/10.7187/GJAT792015.05.01.

Maafi, A. A. (2011). Syllabus Analysis, Learning Implementation Plan, and Learning Implementation, as well as Teaching Materials according to the National Education Standards for Mathematics in Class VII Junior High School, Tegal Regency. Semarang, Central Java, Indonesia: Universitas Negeri Semarang.

Maryati, I., & Priatna, N. (2017). The Integration of Mathematical Character Value Through Contextual Learning. Jurnal Mosharafa, 6(3), 333-344.

Masduki, Khotimah, R. P., & Sutarni, S. (2014). Islamic Values in Mathematics Learning. Implementation and Education of Mathematics and Sciences (pp. 359-369). Yogyakarta: Proceeding of International Conference on Research.

Maslihah, S. (2012). Realistic Mathematics Education as an approach to learning mathematics [in Bahasa]. Jurnal Phenomenon, 2(1), 109-122.

Miles, M. B., Huberman, A. M., & Saldana, J. (2013). Qualitative Data Analysis: A Methods Sourcebook and The Coding Manual for Qualitative Researchers. Arizona State University, USA: Sage Publications Inc. https://doi.org/10.1080/10572252.2015.975966.

Muhsinin. (2013). Character Education Model Based on Islamic Values Forms Tolerant Student Character [in Bahasa]. Jurnal Penelitian Pendidikan Islam, 8(2), 205-228.

Muslimin, Putri, R. I. I., Zulkardi, & Aisyah, N. (2018). Actualization Islamic Values in Learning About Addition, Subtraction, and Multiplication of Integers with Approach of Realistic Mathematics Education to Develop Students Character. Proceedings of the International Conference on Mathematics and Islam (pp. 180-187). Mataram: Scitepress Digital Library. https://10.5220/0008519101800187.

Muslimin, Putri, R. I. I., Zulkardi, & Aisyah, N. (2019). Analysis of Learning Integer Based on Realistic Approach: Case Study in Qur’an Teaching. Journal of Physics: Conference Series, 1166(1), 012030. https://doi.org/10.1088/1742-6596/1166/1/012030.

Nihayati, Suningsih, A., & Abdullah, H. M. (2019). Integration of Number of Verses in The Quran with Islamic Values [in Bahasa]. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika (pp. 101-109). Lampung: UIN Raden Intan Lampung.

OECD. (2013). PISA 2012 Assessment and Analytical Framework: Mathematics, Reading, Science, Problem Solving and Financial Literacy. Paris: OECD Publishing. https://doi.org/10.1787/9789264190511-en.

Piliang, M. Z., Daulay, H. P., & Siddik, D. (2017). An Analysis of Integrated Islamic School Al Ulum in Medan, Indonesia. IOSR Journal of Humanities and Social Science (IOSR-JHSS), 22(4), 100-107. https://doi.org/10.9790/0837-220406100107.

Prahmana, R. C. (2017). Design Research (Theory and its implementation: An Introduction) [in Bahasa]. Jakarta: Rajawali Pers.

Putri, R. I. I., Dolk, M., &, Zulkardi. (2015). Professional Development of PMRI: Teacher for Introducing Social Norm. Jurnal on Mathematics Education, 6(1), 11-19. https://dx.doi.org/10.22342/jme.6.1.1900.11-19.

Rahman, B., Abdurrahman, A., & Kadaryanto, B. (2015). Teacher Based Scaffolding As a Teacher Professional Development Program in Indonesia. Australian Journal of Teacher Education, 40(11), 67-78. https://dx.doi.org/10.14221/ajte.2015v40n11.4.

Salafudin. (2015). Learning Mathematics with Islamic Values [in Bahasa]. Olume, 224.

Sato, M. (2014a). Dialogue and Collaboration in The Middle School: A Community Learning Practice. Jakarta: Pelita-JICA.

Sato, M. (2014b). Reforming Schools: Concept and Learning Community Practice. Jakarta: Pelita-JICA.

Sembiring, R. K., Hadi, S., & Dolk, M. (2008). Reforming mathematics learning in Indonesian classrooms through RME. ZDM-Journal on Mathematics Education, 40, 927-939. https://doi.org/10.1007/s11858-008-0125-9.

Simonson, M. (2006). Design-Based Research Applications for Distance Education. The Quarterly Review of Distance Education (pp. 7-8). Florida: Information Age Publishing, Inc.

Susanto, R., Rozali, Y., & Agustina, N. (2019). Development of Pedagogical Competency Models for Elementary School Teachers: Pedagogical Knowledge, Reflective Ability, Emotional Intelligence and Instructional Communication Pattern. Universal Journal of Educational Research, 7(10), 2124-2132. https://doi.org/10.13189/ujer.2019.071010.

Treffers, A. (1987). Three Dimensions: A Model of Goal and Theory Description in Mathematics Instruction—The Wiskobas Project. Netherlands: Springer. https://doi.org/10.1007/978-94-009-3707-9.

Ulandari, L., Amry, Z., & Saragih, S. (2019). Development of Learning Materials Based on Realistic Mathematics Education Approach to Improve Students’ Mathematical Problem Solving Ability and Self-Efficacy. International Electronic Journal of Mathematics, 14(2), 375-383. https://doi.org/10.29333/iejme/5721.

Van den Heutvel - Panhuizen, M., & Drijvers, P. (2014). Realistic Mathematics Education. In S. Lerman (eds), Encyclopedia of Mathematics Education. Dordrecht: Springer. https://doi.org/10.1007/978-94-007-4978-8_170.

Wahyudi, T., Zulkardi, & Darmawijoyo. (2016). Developing TIMSS-Type Reasoning Questions Using the Lampung Cultural Context [in Bahasa]. Jurnal Didaktik Matematika, 3(1), 1-14.

Wessels, H. (2018). Noticing in pre-service teacher education: Research lessons as a content for reflextion on learner’s mathematical reasoning and sense-making. In G. Kaiser, H. Forgasz , M. Graven , A. Kuzniak , Simm, & G. F. Editors: Kaiser (Ed.), Invited lecturers from the 13th International Congress on Mathematical Education. Cham, Germany: Springer. https://doi.org/10.1007/978-3-319-72170-5_41.

Wijaya, A. (2012). Realistic Mathematics Education: An alternative to learning mathematics [in Bahasa]. Yogyakarta: Graha Ilmu.

DOI: https://doi.org/10.22342/jme.11.3.11721.363-384


  • There are currently no refbacks.

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

Journal on Mathematics Education
Doctoral Program on Mathematics Education
Faculty of Teacher Training and Education, Universitas Sriwijaya
Kampus FKIP Bukit Besar
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139
email: jme@unsri.ac.id

p-ISSN: 2087-8885 | e-ISSN: 2407-0610
Journal on Mathematics Education is licensed under a Creative Commons Attribution 4.0 International License

View My Stats