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Abstract
This study aims to explore the students’ mathematical understanding in integers division operation through the context of archipelago traditional cakes in class VII. This research is related to the Indonesian Realistic Mathematics Approach (PMRI) as a learning approach used. The methodology used in this study is Design Research consisting of three stages: preliminary design, experimental design, and retrospective analysis. The study was conducted for VII grade students of SMPN 1 Palembang. The learning path (Hypothetical Learning Trajectory) in design research plays an important role as a research design and instrument. The Hypothetical Learning Trajectory (HLT) was developed together with a series of activities using the context of archipelago traditional cakes such as: omelette roll, bakpia, milk pie, etc. Media used in this study was the Students’ Worksheet. The results of this study indicate that exploration using the context of traditional archipelago cakes can help students understanding in multiplication and division of integers. The conclusion of this study is the use of archipelago traditional cakes as starting point in mathematics learning in integer division operation material helps the students to explore their understanding in solving mathematics problems.
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References
- Bakker, A. (2004). Design Research in Statistics Education: On Symbolizing and Computer Tools. Utrecht: CDß-Press.
- Disnawati, H., Hartono, Y., Putri, R.I.I. (2012). Exploration of students’ understanding in learning rectangular in primary school using “cak ingkling” context [in Bahasa]. Jurnal Pythgoras, 7(2), 65-80. https://doi.org/10.21831/pg.v7i2.4781.
- Gravemeijer, K. (1994). Developing Realistic Mathematics Education. Utrecht: Freudenthal Institute. Gravemeijer, K. & Van Eerde, D. (2009). Design research as a means for building a knowledge base for teaching in mathematics education. The Elementary School Journal, 109(5), 510-524. https://doi.org/10.1086/596999.
- Gravemeijer, K. & Cobb, P. (2006). Design Research from the Learning Design Perspective. In Akker, J. Van Den., Gravemeijer, K., Mckenney, S., & Nieveen, N (Eds.) Educational Design Research. (pp. 45-85). London: Routledge.
- Kemendikbud. (2013). 2013 Curriculum impelementation [in Bahasa]. Jakarta: Kemendikbud
- Kemendikbud. (2016). Minister of Education and Culture Regulation Number 21, 2016 About The Content Standards for Primary and Secondary Education [in Bahasa]. Jakarta: Kemendikbud.
- Lestariningsih, Putri, R.I.I., & Darmawijoyo. (2012). The legend of Kemaro island for supporting students in learning avarage. Journal on Mathematics Education, 3(2), 165-174. https://doi.org/10.22342/jme.3.2.1932.165-174.
- Musser, G.L., Peterson, B.E., & Burger, W.F. (2005). Mathematics for Elementry Teacher: A Contemporary Approach. Hoboken, NJ: John Wiley & Sons, Inc.
- Nasution, M.F, Putri, R.I.I, & Zulkardi. (2018). Rowing sport in learning fractions of the fourth grade students. Journal on Mathematics Education, 9(1), 69-80. https://doi.org/10.22342/jme.9.1.4270.69-80
- Nurmalia, Hartono, Y., & Putri, R.I.I. (2013). Designing of Learning Material on Linear Program in SMK using Palembangs’ Traditional Cake Context [in Bahasa]. Undergraduate Thesis. Indralaya: FKIP Unsri.
- Plomp, T., & Nieveen, N. (2010). An Introduction to Educational Design Research. Natherland: SLO.
- Putri, R.I.I., Dolk, M., & Zulkardi. (2015). Professional development of PMRI teachers for introducing social norms. Journal on Mathematics Education, 6(1), 11-19. https://doi.org/10.22342/jme.6.1.1900.11-19.
- Putri, R.I.I. & Zulkardi. (2018). Learning fraction through the context of Asian Games 2018. Journal of Physics: Conference Series, 1088(1), 1-8. https://doi.org/10.1088/1742-6596/1088/1/012023.
- Siregar, N.R. (2017). Students’ perceptions of mathematics: A preliminary study of students who like games [in Bahasa]. Proc. Indonesia Development Psychology Association, 1. (pp. 224–232). Sulistiawati. (2014). Learning multiplication number 1-10 using “gasing” mathematics to improve learning outcomes in primary students [in Bahasa]. Proc. 8th National Conference of Mathematics. (pp. 99-112).
- Ugi, L.A., Djadir, & Darwis, M. (2016). Analysis of students’ error in arithmetic operation of integers and alternative solutions [in Bahasa]. Jurnal Daya Matematis: Jurnal Inovasi Pendidikan Matematika, 4(1), 34-50. https://doi.org/10.26858/jds.v4i1.2450
- Utari, R.S., Putri, R.I.I., & Hartono, Y. (2015). Palembang’s cultural context to support reasoning ability of secondary students’ in learning proportion [in Bahasa]. Jurnal Didaktik Matematika, 2(2), 27-37.
- Van den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistics mathematics education: an example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54, 9-35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc.
- Widjaja, W. (2013). The use of contextual problems to support mathematical learning. Journal on Mathematics Education, 4(2), 151-159. https://doi.org/10.22342/jme.4.2.413.151-159.
- Widjayanti, R.W. Masfingatin, T., & Setyansah, K.R. (2019). Interactive learning media animation-based on learning statistics for 7th grade students [in Bahasa]. Jurnal Pendidikan Matematika, 13(1), 101-112. https://doi.org/10.22342/jpm.13.1.6294.101-112.
- Yansen, D., Putri, R.I.I., Zulkardi, & Fatimah, S. (2019). Developing PISA-like mathematics problems on uncertainty and data using Asian Games football context. Journal on Mathematics Education. 10(1), 37-46. https://doi.org/10.22342/jme.10.1.5249.37-46.
- Zainab, Zulkardi, & Hartono, Y. (2013). Learning design pattern numbers using PMRI approach using “kain tanjung” Palembang for 9th grade students [in Bahasa]. Jurnal Edukasi Matematika, 4(7) , 467-478.
- Zulkardi. (2002). Developing A Learning Enviroment on Realistics Mathematics Education for Indonesian Student Teacher. Enschede: University of Twente.
References
Bakker, A. (2004). Design Research in Statistics Education: On Symbolizing and Computer Tools. Utrecht: CDß-Press.
Disnawati, H., Hartono, Y., Putri, R.I.I. (2012). Exploration of students’ understanding in learning rectangular in primary school using “cak ingkling” context [in Bahasa]. Jurnal Pythgoras, 7(2), 65-80. https://doi.org/10.21831/pg.v7i2.4781.
Gravemeijer, K. (1994). Developing Realistic Mathematics Education. Utrecht: Freudenthal Institute. Gravemeijer, K. & Van Eerde, D. (2009). Design research as a means for building a knowledge base for teaching in mathematics education. The Elementary School Journal, 109(5), 510-524. https://doi.org/10.1086/596999.
Gravemeijer, K. & Cobb, P. (2006). Design Research from the Learning Design Perspective. In Akker, J. Van Den., Gravemeijer, K., Mckenney, S., & Nieveen, N (Eds.) Educational Design Research. (pp. 45-85). London: Routledge.
Kemendikbud. (2013). 2013 Curriculum impelementation [in Bahasa]. Jakarta: Kemendikbud
Kemendikbud. (2016). Minister of Education and Culture Regulation Number 21, 2016 About The Content Standards for Primary and Secondary Education [in Bahasa]. Jakarta: Kemendikbud.
Lestariningsih, Putri, R.I.I., & Darmawijoyo. (2012). The legend of Kemaro island for supporting students in learning avarage. Journal on Mathematics Education, 3(2), 165-174. https://doi.org/10.22342/jme.3.2.1932.165-174.
Musser, G.L., Peterson, B.E., & Burger, W.F. (2005). Mathematics for Elementry Teacher: A Contemporary Approach. Hoboken, NJ: John Wiley & Sons, Inc.
Nasution, M.F, Putri, R.I.I, & Zulkardi. (2018). Rowing sport in learning fractions of the fourth grade students. Journal on Mathematics Education, 9(1), 69-80. https://doi.org/10.22342/jme.9.1.4270.69-80
Nurmalia, Hartono, Y., & Putri, R.I.I. (2013). Designing of Learning Material on Linear Program in SMK using Palembangs’ Traditional Cake Context [in Bahasa]. Undergraduate Thesis. Indralaya: FKIP Unsri.
Plomp, T., & Nieveen, N. (2010). An Introduction to Educational Design Research. Natherland: SLO.
Putri, R.I.I., Dolk, M., & Zulkardi. (2015). Professional development of PMRI teachers for introducing social norms. Journal on Mathematics Education, 6(1), 11-19. https://doi.org/10.22342/jme.6.1.1900.11-19.
Putri, R.I.I. & Zulkardi. (2018). Learning fraction through the context of Asian Games 2018. Journal of Physics: Conference Series, 1088(1), 1-8. https://doi.org/10.1088/1742-6596/1088/1/012023.
Siregar, N.R. (2017). Students’ perceptions of mathematics: A preliminary study of students who like games [in Bahasa]. Proc. Indonesia Development Psychology Association, 1. (pp. 224–232). Sulistiawati. (2014). Learning multiplication number 1-10 using “gasing” mathematics to improve learning outcomes in primary students [in Bahasa]. Proc. 8th National Conference of Mathematics. (pp. 99-112).
Ugi, L.A., Djadir, & Darwis, M. (2016). Analysis of students’ error in arithmetic operation of integers and alternative solutions [in Bahasa]. Jurnal Daya Matematis: Jurnal Inovasi Pendidikan Matematika, 4(1), 34-50. https://doi.org/10.26858/jds.v4i1.2450
Utari, R.S., Putri, R.I.I., & Hartono, Y. (2015). Palembang’s cultural context to support reasoning ability of secondary students’ in learning proportion [in Bahasa]. Jurnal Didaktik Matematika, 2(2), 27-37.
Van den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistics mathematics education: an example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54, 9-35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc.
Widjaja, W. (2013). The use of contextual problems to support mathematical learning. Journal on Mathematics Education, 4(2), 151-159. https://doi.org/10.22342/jme.4.2.413.151-159.
Widjayanti, R.W. Masfingatin, T., & Setyansah, K.R. (2019). Interactive learning media animation-based on learning statistics for 7th grade students [in Bahasa]. Jurnal Pendidikan Matematika, 13(1), 101-112. https://doi.org/10.22342/jpm.13.1.6294.101-112.
Yansen, D., Putri, R.I.I., Zulkardi, & Fatimah, S. (2019). Developing PISA-like mathematics problems on uncertainty and data using Asian Games football context. Journal on Mathematics Education. 10(1), 37-46. https://doi.org/10.22342/jme.10.1.5249.37-46.
Zainab, Zulkardi, & Hartono, Y. (2013). Learning design pattern numbers using PMRI approach using “kain tanjung” Palembang for 9th grade students [in Bahasa]. Jurnal Edukasi Matematika, 4(7) , 467-478.
Zulkardi. (2002). Developing A Learning Enviroment on Realistics Mathematics Education for Indonesian Student Teacher. Enschede: University of Twente.