Kemampuan representasi matematis siswa: Systematic literature review
DOI:
https://doi.org/10.22460/jpmi.v6i4.17821Keywords:
mathematical representation ability, self-efficacy, cognitive styleAbstract
References
Adnan, S., Juniati, D., & Sulaiman, R. (2019). Student’s mathematical representation in solving geometry problems based on cognitive style. Journal of Physics: Conference Series, 1417(1). https://doi.org/10.1088/1742-6596/1417/1/012049
Andini, H. P., Sunismi, & Setiawan, Y. E. (2021). Analisis kemampuan representasi matematis pada pokok bahasan teorema pythagoras ditinjau dari self efficacy siswa kelas VIII SMP. JP3, 16(25), 136–151.
Apriliyani, S. W., Hartati, L., & Rahmatulloh, R. (2022). Analisis kemampuan representasi matematis siswa dalam penyelesaian soal statistika ditinjau dari self efficacy. JKPM (Jurnal Kajian Pendidikan Matematika), 7(2), 193. https://doi.org/10.30998/jkpm.v7i2.11148
Ariati, C., & Juandi, D. (2018). Kemampuan penalaran matematis: systematic literature review. Angewandte Chemie International Edition, 1(2), 10–27.
Aswin, A., & Juandi, D. (2022). Using watson criteria for analyzing student errors: systematic literature review (SLR). Hipotenusa : Journal of Mathematical Society, 4(1). https://doi.org/10.18326/hipotenusa.v4i1.7239
Azizah, L. N., Junaedi, I., & Suhito. (2019). Kemampuan representasi matematis ditinjau dari gaya kognitif siswa kelas X pada pembelajaran matematika dengan model problem based learning. PRISMA, Prosiding Seminar Nasional Matematika, 2, 355–365.
Bandura, A., Freeman, W. H., & Lightsey, R. (1999). Self-efficacy: the exercise of control. springer.
Blazhenkova, O., & Kozhevnikov, M. (2009). The new object-spatial-verbal cognitive style model: theory and measurement. Applied Cognitive Psychology, 23(5), 638–663. https://doi.org/10.1002/acp.1473
Brueck, J. S., & Lenhart, L. A. (2015). E-Books and TPACK. The reading teacher, 68(5), 373–376. https://doi.org/10.1002/trtr.1323
Cai, J. (2005). U.S. and chinese teachers’ constructing, knowing, and evaluating representations to teach mathematics. Mathematical Thinking and Learning, 7(2), 135–169. https://doi.org/10.1207/s15327833mtl0702_3
Council, N. R. (2001). Adding it up: helping children learn mathematics (J. Kilpatrick, J. Swafford, & B. Findell (eds.)). The National Academies Press. https://doi.org/10.17226/9822
Fatri, F. F., Maison, M., & Syaiful, S. (2019). Kemampuan representasi matematis siswa kelas VIII SMP ditinjau dari gaya kognitif visualizer dan verbalizer. Jurnal Didaktik Matematika, 6(2), 98–111. https://doi.org/10.24815/jdm.v6i2.14179
Goldin, G., & Kaput, J. (1996). A joint perspective on the idea of representation in learning and doing mathematics (pp. 397–430).
Gulvara, M. A., Suryadi, D., & Kurniawan, S. (2023). Kesalahan siswa menyelesaikan soal cerita matematika berdasarkan skema fong : Systematic Literature Review. 6(2), 607–618. https://doi.org/10.22460/jpmi.v6i2.17141
Habibi, H., Winiati, I., & Kurniawati, Y. (2020). Analisis berpikir kritis matematis siswa SMP ditinjau dari gaya kognitif visualizer dan verbalizer. Indonesian Journal of Mathematics and Natural Science Education, 1(2), 99–110. https://doi.org/10.35719/mass.v1i2.34
Hanifah, Waluya, S. B., Isnarto, Asikin, M., & Rochmad. (2021). Analysis mathematical representation ability by self-efficacy of prospective mathematics teachers. Journal of Physics: Conference Series, 1918(4). https://doi.org/10.1088/1742-6596/1918/4/042118
Hidayat, A. F., Amin, S. M., & Fuad, Y. (2017). Profil penalaran proporsional siswa SMP dalam memecahkan masalah matematika berdasarkan gaya kognitif sistematis dan intuitif. Kreano, Jurnal Matematika Kreatif-Inovatif, 8(2), 162–170. https://doi.org/10.15294/kreano.v8i2.9635
Himmah, M., & Rahaju, E. B. (2021a). Analysis of student’s mathematics representation in solving mathematics problems based on spatial cognitive style. MATHEdunesa, 10(2). https://doi.org/10.26740/mathedunesa.v10n2.ppdf_189-199
Himmah, M., & Rahaju, E. B. (2021b). Analysis of student’s mathematics representation in solving mathematics problems based on spatial cognitive style. MATHEdunesa, 10(2). https://doi.org/10.26740/mathedunesa.v10n2.pPDF_189-199
Huda, U., Musdi, E., & Nari, N. (2019). Analisis kemampuan representasi matematis siswa dalam menyelesaikan soal pemecahan masalah matematika. Ta’dib, 22(1), 19. https://doi.org/10.31958/jt.v22i1.1226
Hwang, W.-Y., Chen, N.-S., Dong, J.-J., & Yang, Y.-L. (2007). Multiple representation skills and creativity effects on mathematical problem solving using a multimedia whiteboard system. Educational Technology & Society, 10, 191–212.
Idharwati, T., Rasiman, & Utami, R. E. (2019). Analisis kemampuan representasi matematis siswa SMP kelas VIII ditinjau dari gaya kognitif field independent. Senatik, 1, 40. http://conference.upgris.ac.id/index.php/senatik/article/view/37
Kagan, J. (1965). Reflection-impulsivity and reading ability in primary grade children. Child Development, 36(3), 609. https://doi.org/10.2307/1126908
Keefe, J. W., & Monk, J. S. (1988). Learning style examiner’s manual. Reston, VA: National Association of Secondary School Principals.
Keen, P. G. W. (1974). Cognitive style & the problem-solving process: An Experiment.
Kemendikbudristek. (2022). Salinan keputusan kepala badan standar, kurikulum, dan asesmen pendidikan, kementerian pendidikan, kebudayaan, riset, dan teknologi nomor 008/h/kr/2022 tentang capaian pembelajaran pada pendidikan anak usia dini jenjang pendidikan dasar dan jenjang pendid. In Kemendikbudristek BSKAP RI (Issue 021).
Khoirina, N. J., & Rochmad. (2022). Representasi matematis ditinjau dari rasa percaya diri siswa pada pembelajaran problem posing. Prosiding Seminar Nasional Pendidikan Matematika, Universitas Mulawarman, 2, 39–46.
Kristanto, H. Y. W., & Manoy, J. T. (2021). Representasi matematis siswa SMA dalam menyelesaikan masalah matematika ditinjau dari gaya kognitif sistematis dan intuitif. Jurnal Penelitian Pendidikan Matematika Dan Sains, 4(2), 50. https://doi.org/10.26740/jppms.v4n2.p50-59
Lesh, R., Post, T., & Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. Hillsdale, NJ: Erlbaum.
Lette, I., & Manoy, J. T. (2019). Representasi siswa SMP dalam memecahkan masalah matematika ditinjau dari kemampuan matematika. MATHEdunesa, 8(3), 569–575. https://doi.org/10.26740/mathedunesa.v8n3.p569-575
Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate health care interventions: explanation and elaboration. Journal of Clinical Epidemiology, 62(10), e1–e34. https://doi.org/10.1016/j.jclinepi.2009.06.006
Lunenburg, F. C. (2011). Self-efficacy in the workplace: implications for motivation and performance. International Journal of Management, Business, and Administration, 14(1), 1–6.
Mainali, B. (2020). Representation in teaching and learning mathematics. International Journal of Education in Mathematics, Science and Technology, 9(1), 1–21. https://doi.org/10.46328/ijemst.1111
McEwan, R. C., & Reynolds, S. (2007). Verbalisers and visualisers : cognitive styles that are less than equal. Faculty and Staff Publications - CRI, 4.
Mukhtar, N. M., Mulbar, U., & Upu, H. (2021). Mathematics representation ability based on self- efficacy and non-cognitive variables. 611(ICoESM), 271–277.
Mullis, I. V. S., Martin, M. O., Robitaille, D. F., & Foy, P. (2009). TIMSS advanced 2008. international report. findings from iea’s study of achievement in advanced mathematics and physics in the final year of secondary school. http://pirls.bc.edu/timss_advanced/downloads/TA08_International_Report.pdf
Muniri, M., & Yulistiyah, E. (2022). Representasi matematis siswa dalam menyelesaikan masalah sistem persamaan linear ditinjau dari gaya kognitif reflektif-implusif. Plusminus: Jurnal Pendidikan Matematika, 2(2), 201–210. https://doi.org/10.31980/plusminus.v2i2.1810
Nadia, L. N., Waluyo, S. B., & Isnarto. (2017). Analisis kemampuan representasi matematis ditinjau dari self efficacy peserta didik melalui inductive discovery learning. Journal of Mathematics Education Research, 6(2), 242–250.
Nasution, R. (2021). Addressing inequality in indonesia’s quality education. ANTARA NEWS.
National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standards for School Mathematics. Reston: NCTM.
Nurbayan, A. A., & Basuki, B. (2022). Kemampuan representasi matematis siswa ditinjau dari self-efficacy pada materi aritmatika sosial. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 1(1), 93–102. https://doi.org/10.31980/powermathedu.v1i1.1919
Paivio, A. (1971). Imagery and language. In Imagery (pp. 7–32). Elsevier.
Permana, R., Sabirin, F., & Feladi, V. (2016). Effect of self efficacy and prior knowledge on students’ skills. JETL (Journal Of Education, Teaching and Learning), 1(2), 76. https://doi.org/10.26737/jetl.v1i2.43
Polanin, J. R., Maynard, B. R., & Dell, N. A. (2017). Overviews in education research. Review of Educational Research, 87(1), 172–203. https://doi.org/10.3102/0034654316631117
Posamentier, A. S., & Krulik, S. (1988). Problem solving strategies for efficient and elegant solutions: A resource for the mathematics teachers. Thousand Oaks, CA: Corwin Press Inc.
Pratiwi, N. K. A., Yusmin, E., & Yani, A. (2019). Kemampuan representasi matematis menyelesaikan soal segi empat ditinjau dari self-efficacy di madrasah tsanawiyah. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa, 8(9), 1–8.
Pritchard, D. (2023). What is this thing called knowledge? Taylor & Francis.
Rahmad, B. A., Ipung, Y., Abdur, R. A., Sisworo, & Dwi, R. (2016). Mathematical representation by students in building relational understanding on concepts of area and perimeter of rectangle. Educational Research and Reviews, 11(21), 2002–2008. https://doi.org/10.5897/ERR2016.2813
Rahmatika, T., Ihsanudin, & Rafianti, I. (2022). Kemampuan representasi matematis siswa dalam menyelesaikan soal pisa berdasarkan gaya kognitif reflektif-impulsif. Jurnal Cendekia : Jurnal Pendidikan Matematika, 06(01), 248–258.
Riding, R., & Cheema, I. (1991). Cognitive styles—an overview and integration. Educational Psychology, 11(3–4), 193–215. https://doi.org/10.1080/0144341910110301
Sabirin, M. (2014). Representasi dalam pembelajaran matematika. Jurnal Pendidikan Matematika, 1(2), 33. https://doi.org/10.18592/jpm.v1i2.49
Safrudin, M. A., Isnarto, & Junaedi, I. (2021). Mathematical representation ability based on self-efficacy on online learning through flipped classroom. Unnes Journal of Mathematics Education Research, 10(2), 157–162. https://journal.unnes.ac.id/sju/index.php/ujmer/article/view/48640
Sahendra, A., Budiarto, M. T., & Fuad, Y. (2018). Students’ representation in mathematical word problem-solving: exploring students’ self-efficacy. Journal of Physics: Conference Series, 947(1). https://doi.org/10.1088/1742-6596/947/1/012059
Said, R. S., Subarinah, S., Baidowi, & Sripatmi. (2021). Kemampuan representasi matematis ditinjau dari self efficacy siswa kelas VIII tahun ajaran 2020/2021. Griya Journal of Mathematics Education and Application, 1(3), 306–315. https://doi.org/10.29303/griya.v1i3.84
Setyawati, R. D., Ambarizka, E. B., & Handayanto, A. (2020). Profil kemampuan representasi matematis siswa SMP ditinjau dari self efficacy. Phenomenon : Jurnal Pendidikan MIPA, 10(2), 220–235. https://doi.org/10.21580/phen.2020.10.2.6627
Shi, C. (2011). A study of the relationship between cognitive styles and learning strategies. Higher Education Studies, 1(1). https://doi.org/10.5539/hes.v1n1p20
Sufriadin, S., Cahyono, E., & Busnawir, B. (2022). Analisis kemampuan representasi matematis siswa ditinjau dari self-efficacy. Jurnal Pembelajaran Berpikir Matematika (Journal of Mathematics Thinking Learning), 7(1), 56–67. https://doi.org/10.33772/jpbm.v7i1.25671
Surahmi, E. (2016). Representasi siswa SMA dalam memahami konsep fungsi kuadrat ditinjau dari gaya kognitif (Visualizer – Verbalizer). Sigma, 1(2), 57–63.
Susanti, H., Zubaidah, & Suratman, D. (2020). Kemampuan Representasi matematis materi ukuran pemusatan data ditinjau dari self efficacy di SMA islamiyah. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa, 9(10), 1–10.
Sweller, J. (2011). Cognitive load theory. In Psychology of learning and motivation (Vol. 55, pp. 37–76). Elsevier.
Ulya, H., & Rahayu, R. (2020). Kemampuan representasi matematis field intermediate dalam menyelesaikan soal etnomatematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(2). https://doi.org/10.24127/ajpm.v9i2.2695
Utomo, V. O. Y., Trapsilasiwi, D., & Oktavianingtyas, E. (2017). Kemampuan representasi matematis siswa gaya kognitif reflektif-impulsif dalam menyelesaikan masalah open-ended. Kadikma, 8(2), 125–134.
Villegas, J. L., Castro, E., & Gutierrez, J. (2009). Representation in problem solving: a case study with optimization problem. Electronic Journal of Research in Education Psychology, 17(7), 279–308.
Wang, C., & Lu, H. (2018). Mediating effects of individuals’ ability levels on the relationship of reflective-impulsive cognitive style and item response time in CAT. Educational Technology & Society, 21, 89+. https://link.gale.com/apps/doc/A563457728/AONE?u=googlescholar&sid=bookmark-AONE&xid=2a26f98f
Widya, H., & Manoy, J. T. (2022). Representasi matematis siswa dalam memecahkan masalah matematika ditinjau dari self-efficacy siswa. MATHEdunesa: Jurnal Ilmiah Pendidikan Matematika, 11(2), 574–583. https://jurnalmahasiswa.unesa.ac.id/index.php/mathedunesa/article/view/25554/23429
Witkin, H. A., & Goodenough, D. R. (1977). Field dependence and interpersonal behavior. Psychological Bulletin, 84(4), 661.
Zazkis, R., & Liljedahl, P. (2004). Understanding primes: the role of representation. Journal for Research in Mathematics Education, 35(3), 164. https://doi.org/10.2307/30034911.