Mathematical Connection Process of Students with High Mathematics Ability in Solving PISA Problems
Baiduri Baiduri , Octavina Rizky Utami Putri , Ikrimatul Alfani
The aim of this study is to analyze and explain the mathematical connection process for students with a high mathematical ability to solve problems in.
- Pub. date: October 15, 2020
- Pages: 1527-1537
- 1574 Downloads
- 2345 Views
- 9 Citations
The aim of this study is to analyze and explain the mathematical connection process for students with a high mathematical ability to solve problems in terms of gender. Explorative descriptive research with a qualitative approach was used in this study. Data was collected through written tests and interviews conducted to a male and female student of class X Mathematics and Natural Sciences with high mathematical abilities. Data credibility is obtained through triangulation of methods and time. Furthermore, the data are analyzed with a flowchart which includes data reduction, data presentation, and conclusion drawing. The results showed that there were similarities and differences in the mathematical connection processes of male and female students. Similarities in the process of mathematical connections occur when making mathematical connections with other sciences and with everyday life in each of Polya's stages. In addition, the similarity of the connection process also occurs when connecting in mathematics during the re-checking stage. While the difference in the connection process in mathematics between male and female students is done at the stage of understanding the problem, solving strategies and implementing problem solving.
Keywords: Gender, mathematical ability, mathematical connections, problem solving.
References
Aini, K. N., Purwanto, & Sa’dijah, C. (2016). Proses koneksi matematika siswa berkemampuan tinggi dan rendah dalam memecahkan masalah bangun ruang [Mathematical connection process of high and low ability students in solving flat-building problems]. Journal of Education/ Jurnal Pendidikan, 1(3), 377–388.
Ajai, J. T., & Imoko, B. I. (2015). Gender differences in mathematics achievement and retention scores: A case of problem-based learning method. International Journal of Research in Education and Science, 1(1), 45–50. https://doi.org/10.21890/ijres.76785
Albay, E. M. (2019). Analyzing the effects of the problem solving approach to the performance and attitude of first year university students. Social Sciences & Humanities Open, 1(1), 100006. https://doi.org/10.1016/ j.ssaho.2019.100006
Altay, M. K., Yalvac B., & Yeltekin, E. (2017). 8th grade student’s skill of connecting mathematics to real life. Journal of Education and Training Studies, 5(10), 158–166. https://doi.org/10.11114/jets.v5i10.2614
Ariyani, W., Suyitno, H., & Junaedi, I. (2020). Mathematical connection ability and students’ independence in Missouri mathematics project e-Learning. Unnes Journal of Mathematics Education Research, 9(2), 185–189. http://journal.unnes.ac.id/sju/index.php/ujmer
Ayunani, D. S., Mardiyana, & Indriati, D. (2020). Analyzing mathematical connection skill in solving a contextual problem. Journal of Physics: Conference Series, 1511(1), 1–10. https://doi.org/10.1088/1742-6596/1511/1/012095
Baiduri. (2013). Profil berpikir relasional siswa SD dalam menyelesaikan masalah matematika ditinjau dari kemampuan matematika dan gender [Profile of elementary students’ relational thinking in solving mathematical problems in terms of mathematical ability and gender] [Unpublished doctoral dissertation]. Universitas Negeri Surabaya.
Baiduri. (2018). The representations of mathematics education students in solving algebra problems. In Supardi, E. Yulianti, N. Binatari, H. P. Lestari, D. Setyawarno & Marfuatun (Eds.), Proceedings of the 5th international conference on research, implementation and education of mathematics and sciences (5th ICRIEMS) (pp. 441–448). Faculty of Mathematics and Natural Sciences Yogyakarta State University
Barham, A. I. (2020). Investigating the development of pre-service teachers’ problem-solving strategies via problem-solving mathematics classes. European Journal of Educational Research, 9(1), 129–141. https://doi.org/10.12973/eu-jer.9.1.129
Bingolbali, E., & Coskun, M. (2016). A proposed conceptual framework for enhancing the use of making connections skill in mathematics teaching. Education and Science, 41(183), 233–249. https://doi.org/10.15390/EB.2016.4764
Bosse, M. (2003). The beauty of “and “or”: Connections within mathematics for students with learning differences. Mathematics and Computer Education, 37(1), 105 – 114.
Davadas, S. D., & Lay, Y. F. (2020). Contributing factors of secondary students’ attitude towards mathematics. European Journal of Educational Research, 9(2), 489–498. https://doi.org/10.12973/eu-jer.9.2.489
Depdikbud. (2014). Peraturan Menteri Pendidikan dan Kebudayaan No 59 Tahun 2014 tentang Pembelajaran Kurikulum 2013 [Regulation of the Minister of Education and Culture No. 59/2014 on Learning Curriculum 2013]. Minister of Education and Culture. http:// kemendikbud.go.id/
Eli, J. A., Mohr-schroeder, M. J. and Lee, C. W. (2013). Mathematical connections and their relationship to mathematics knowledge for teaching geometry. School Science and Mathematics, 113(3), 120–134. https://doi.org/10.1111/ssm.12009
Gainsburg, J. (2008). Real-world connections in secondary mathematics teaching. Journal of Mathematics Teacher Education, 11(3), 199–219. https://doi.org/10.1007/s10857-007-9070-ajai8
Gallagher, A. M., De Lisi, R., Holst, P. C., McGillicuddy-De Lisi, A. V., Morely, M., & Cahalan, C. (2000). Gender differences in advanced mathematical problem solving. Journal of Experimental Child Psychology, 75(3), 165–190. https://doi.org/10.1006/jecp.1999.2532
Haji, S., Abdullah, M. I., & Maizora, S. (2017). Developing students’ ability of mathematical connection through using outdoor mathematics learning. Infinity: Journal of Mathematics Education, 6(1), 11–20. https://doi.org/10.22460/infinity.v6i1.234
Hermawan, D., & Prabawanto, S. (2015). Pengaruh penerapan model pembelajaran problem based learning berbantuan media teknologi informasi dan komunikasi [The effect of the application of problem based learning model assisted by information and communication technology media]. Eduhimaniora: Journal of Basic Education/ Eduhimaniora: Jurnal Pendidikan Dasar, 7(1), 1–9.
Hidayati, V. R., Subanji, S., & Sisworo, S. (2020). Students’ Mathematical Connection Error in Solving PISA Circle Problem. Mathematics Education Scientific Journal/ Jurnal Ilmiah Pendidikan Matematika, 8(2), 76–84. https://doi.org/10.25273/jipm.v8i2.5588
Hiebert, J., & Carpenter, T. (1992). Learning and teaching with understanding. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65–97). Macmillan.
Ileriturk, D. B., & Kincal, R. Y. (2016). The review of variables related to problem solving skills in PISA 2003-2012 of Turkey. Sakarya University Journal of Education, 6(3), 40–53. https://doi.org/10.19126/suje.220179
Innabi, H., & Dodeen, H. (2018). Gender differences in mathematics achievement in Jordan: A differential item functioning analysis of the 2015 TIMSS. School Science and Mathematics, 118(3–4), 127–137. https://doi.org/10.1111/ssm.12269
Islami, M. D., Sunardi, S., & Slamin, S. (2018). The mathematical connections process of junior high school students with high and low logical mathematical intelligence in solving geometry problems. International Journal of Advanced Engineering Research and Science, 5(4), 10–18. https://doi.org/10.22161/ijaers.5.4.3
Karakoc, G., & Alacaci, C. (2015). Real world connections in high school mathematics curriculum and teaching. Turkish Journal of Computer and Mathematics Education, 6(1), 31–46. https://doi.org/10.16949/turcomat.76099
Karim, & Sumartono. (2015). Kemampuan mahasiswa membuat koneksi matematis dalam menyelesaikan masalah matematika ditinjau dari perbedaan gender [The ability of students to make mathematic connections in solving mathematical problems assessed from gender differences]. Math Didactic: Journal of Mathematics Education/ Math Didactic: Jurnal Pendidikan Matematika, 1(2), 73–79.
Kenedi, A. K., Helsa, Y., Ariani, Y., Zainil, M., & Hendri, S. (2019). Mathematical connection of elementary school students to solve mathematical problems. Journal on Mathematics Education, 10(1), 69–80.
Kim, M., & Kwak, M. (2018). Gender difference in mathematics achievement of total, low-, and high-achieving students: Evidence from East Asian countries’ TIMSS 2015 Mathematics achievement. The Journal of Curriculum and Evaluation, 21(4), 99–124.
Kusumaningsih, W., Darhim, Herman, T., & Turmudi. (2018). Gender differences in algebraic thinking ability to solve mathematics problems. Journal of Physics: Conference Series, 1013(1), 1–5. https://doi.org/10.1088/1742-6596/1013/1/012143
Latif, S., & Akib, I. (2016). Mathematical connection ability in solving mathematics problem based on initial abilities of students at SMPN 10 Bulukumba. Journal of Mathematical Power/ Jurnal Daya Matematis, 4(2), 207–217.
Leder, G. C., Forgasz, H. J., & Jackson, G. (2014). Mathematics, English and gender issues: Do teachers count? Australian Journal of Teacher Education, 39(9), 18–34. https://doi.org/10.14221/ajte.2014v39n9.3
Leton, S. I., Wahyudin, & Darhim. (2019). Mathematical connection ability of deaf student in completing social arithmetic tests. Journal of Physics: Conference Series, 1280(4), 1–7. https://doi.org/10.1088/1742-6596/1280/4/042012
Malibiran, H. M., Candelario-Aplaon, Z., & Izon, M. V. (2019). Determinants of problem-solving performance in mathematics 7: A regression model. International Forum, 22(1), 65–86.
Marshall, S. (1995). Schemas in problem solving. Cambridge University Press.
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis (2nd ed.). Sage.
Mumu, J., & Tanujaya, B. (2019). Analysis of mathematical connection in abstract algebra. Journal of Physics: Conference Series, 1321(2), 1–4. https://doi.org/10.1088/1742-6596/1321/2/022105
Orhan, O. (2008). Pembelajaran perkalian bilangan dengan strategi interaksi sebagai upaya membangun kemampuan koneksi matematiika siswa kelas II SDN 6 Panarung Palangkaraya [Learning multiplication of numbers with interaction strategies as efforts to build the ability of class II mathematical connections at SDN 6 Panarung Palangkaraya] [Unpublished doctoral dissertation]. Universitas Negeri Malang.
Osadebe, P. U., & Oghomena, D. E. (2018). Assessment of gender, location and socio-economic status on students’ performance in senior secondary certificate examination in mathematics. International Education Studies, 11(8), 98-109. https://doi.org/10.5539/ies.v11n8p98
Polya, G. (1973). How to solve it (2nd ed.). Princeton University.
Putri, H. E., Rahayu, P., Saptini, R. D., & Misnarti. (2016). Keterkaitan penerapan pendekatan CPA dan peningkatan kemampuan koneksi matematis siswa sekolah dasar [The linkage of implementing the CPA approach and improving the mathematical connection ability of elementary school students]. Methodic Didactic/ Metodik Didaktik, 11(1), 41–49. https://doi.org/10.17509/md.v11i1.3785
Saminanto, & Kartono. (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. http://www.ijern.com
Siagian, M. D. (2016). Kemampuan koneksi matematik dalam pembelajaran matematika [Mathematical connection ability in mathematics learning]. Journal of Mathematics Education and Science, 2(1), 58–67.
Siregar, N. D., & Surya, E. (2017). Analysis of students’ junior high school mathematical connection ability. International Journal of Sciences: Basic and Applied Research, 33(2), 309–320.
Sitorus, Y. (2019). Development of learning material based on problem based learning to increase mathematical connection ability and self-esteem students of SMP Negeri 1 Panai Tengah. Journal of Education and Practice, 10(36), 62–72. https://doi.org/10.7176/jep/10-36-07
Soemarmo, & Hendriana. (2014). Penilaian pembelajaran matematika [Mathematics learning assessment]. Refika Aditama.
Swastika, G. T., & Narendra, R. (2019). ARIAS learning model based on a contextual approach to increase the mathematical connection capacity. ]. Mathematics Education Scientific Journal/ Jurnal Ilmiah Pendidikan Matematika, 7(2), 104. https://doi.org/10.25273/jipm.v7i2.2984
Tasni, N., & Susanti, E. (2017). Membangun koneksi matematis siswa dalam pemecahan masalah verbal [Building students’ mathematical connections in verbal problem solving]. Beta Tadris Mathematics Journal/ Beta Jurnal Tadris Matematika, 10(1), 103–116. https://doi.org/10.20414/betajtm.v10i1.108
Toheri, Winarso, W., & Haqq, A. A. (2020). Where exactly for enhance critical and creative thinking: The use of problem posing or contextual learning. European Journal of Educational Research, 9(2), 877–887. https://doi.org/10.12973/eu-jer.9.2.877
Tout, D., & Spithill, J. (2015). Big ideas in mathematics teaching. Queensland College of Teachers Research Digest, (11), 1-22.
Voyer, D. (2011). Performance in mathematical problem solving as a function of comprehension and arithmetic skills. International Journal of Science and Mathematics Education, 9(5), 1073–1092. https://doi.org/10.1007/s10763-010-9239-y
Warih, P. D., Parta, I. N., & Rahardjo, S. (2016). Analisis kemampuan koneksi matematis siswa kelas VIII pada materi teorema pythagoras [Analysis of the Mathematical Connection Ability of grade VIII Students on the Pythagorean Theorem Material]. In Proceedings of the National Conference on Mathematics Research and Learning (NCMRL) I / Prosiding Konferensi Nasional Penelitian Matematika Dan Pembelajarannya (KNPMP) I, (pp. 377–384). Publikasi Ilmiah UMS / Scientific Publications of University of Muhammadiyah Surakarta.
Wiersma, W., & Jurs, S. G. (2009). Research methods in education: An introduction (9th ed.). Pearson.
Yigit Koyunkaya, M., Ugurel, I., & Tataroglu Tasdan, B. (2018). Ogretmen adaylarının matematigi gunluk yaşam ile iliskilendirme hakkındaki dusuncelerinin gelistirdikleri ogrenme etkinliklerine yansıması [Reflection of preservice teachers’ thoughts about connecting mathematics and real life situations on their mathematics learning activities]. Journal of Uludag University Education Faculty/ Uludag Universitesi Egitim Fakultesi Dergisi, 31(1), 177–206. https://doi.org/10.19171/uefad.450083
Yosopranata, D., Zaenuri, & Mashuri. (2018). Mathematical connection ability on creative problem solving with ethnomathematics nuance learning model. Unnes Journal of Mathematics Education, 7(2), 108–113. https://doi.org/10.15294/ujme.v7i2.25399
Yuniawatika, Y. (2018). Kemampuan koneksi matematik mahasiswa pgsd ditinjau dari perbedaan gender [The mathematical connection ability of PGSD students in terms of gender differences]. EduHumaniora Journal of Basic Education Cibiru Campus/ EduHumaniora Jurnal Pendidikan Dasar Kampus Cibiru, 10(2), 72–77. https://doi.org/10.17509/eh.v10i2.10872
Zengin, Y. (2019). Development of mathematical connection skills in a dynamic learning environment. Education and Information Technologies, 24(3), 2175–2194. https://doi.org/10.1007/s10639-019-09870-x
Zhu, Z. (2007). Gender differences in mathematical problem solving patterns: A review of literature. International Education Journal, 8(2), 187–203.