Multiple Representations Appear When Students Interpret Signs in Constructing Rectangle Concepts
DOI:
https://doi.org/10.31764/jtam.v6i1.3965Keywords:
Multiple Representations, Sign Interpretation, Semiotic Reasoning, Concept ConstructionAbstract
Multiple Representation the ability to use several mathematical expressions. The purpose of this study is to describe the representations that appear when students interpret the signs. Descriptive explorative research is used in this study with three elementary school students in the Jember Regency. The research was conducted teacher’s teaching process, recording students 'activities using field note sheets, and analyszing the results of students' notes when constructing concepts. The research findings showed that the subject interpreted the sign by investigating the sign and then using some interpretations to express his mathematical ideas in the form of writing, pictures, tables, numbers, and symbols. This shows when interpreting the subject's sign using multiple representations. The representations used are image, verbal, and symbol representations. The results of this study are useful for teachers to stimulate children to make more than one representation when constructing a rectangle concept.
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References
Amaliyah, R. A., & Mahmud, N. (2018). Analisis Kemampuan Representasi Matematis dalam Pemecahan Masalah Geometri serta Faktor-Faktor yang Mempengaruhinya. Jurnal Review Pembelajaran Matematika, 3(2), 146–160. https://doi.org/10.15642/jrpm.2018.3.2.146-160
Bal, A. P. (2014). The Examination of Representations used by Classroom Teacher Candidates in Solving Mathematical Problems. Educational Sciences: Theory & Practice, 14(6), 2349–2365. https://doi.org/10.12738/estp.2014.6.2189
Boonen, A. J. H., Van Wesel, F., Jolles, J., & Van der Schoot, M. (2014). The role of visual representation type, spatial ability, and reading comprehension in word problem solving: An item-level analysis in elementary school children. International Journal of Educational Research, 68, 15–26. https://doi.org/10.1016/j.ijer.2014.08.001
Cankoy, O., & Özder, H. (2011). The Influence of Visual Representations and Context on Mathematical Word Problem Solving Bağlam ve Görsel Anlatımların Matematiksel Sözel Problem Çözümüne Etkisi. Temmuz, 30, 91–100.
Chen, M., & Lee, C. (2015). Influence of Mathematical Representation and Mathematics Self-Efficacy on the Learning Effectiveness of Fifth Graders in Pattern Reasoning. International Journal of Learning, Teaching and Education Research, 13(1), 1–16.
Creswell, J. W. (2012). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. In Educational Research (Vol. 4). https://doi.org/10.1017/CBO9781107415324.004
Delice, A., & Sevimli, E. (2010). An investigation of the pre-services teachers’ ability of using multiple representations in problem-solving success: The case of definite integral. Kuram ve Uygulamada Egitim Bilimleri, 10(1), 137–149. https://doi.org/Article
Durkaya, M., Şenel, E. Ö., Öçal, M. F., Kaplan, A., Aksu, Z., & Konyaloglu, A. C. (2011). Pre-service mathematics teachers’ multiple representation competencies about determinant concept. Procedia - Social and Behavioral Sciences, 15, 2554–2558. https://doi.org/10.1016/j.sbspro.2011.04.144
Fuster, D. (2019). Qualitative Research: Hermeneutical Phenomenological Method. Propósitos y Representaciones, 7(1), 201–229.
Gravells, J. (2017). Semiotics and Verbal Texts. In Semiotics and Verbal Texts. https://doi.org/10.1057/978-1-137-58750-3
Herdani, P. D., & Ratu, N. (2018). Analisis Tingkat Kemampuan Berpikir Kreatif Matematis Siswa SMP Dalam Menyelesaikan Open – Ended Problem Pada Materi Bangun Datar Segi Empat. JTAM | Jurnal Teori Dan Aplikasi Matematika, 2(1), 9. https://doi.org/10.31764/jtam.v2i1.220
Kang, R., & Liu, D. (2018). The Importance of Multiple Representations of Mathematical Problems: Evidence from Chinese Preservice Elementary Teachers’ Analysis of a Learning Goal. International Journal of Science and Mathematics Education, 16(1). https://doi.org/10.1007/s10763-016-9760-8
Kralemann, Björn and Lattmann, C. (2013). Models as icons : modeling models in the semiotic framework of Peirce ’ s theory of signs. Synthese, 190(16), 3397–3420. https://doi.org/10.1007/s
Madrid, M. J., Maz-machado, A., & León-mantero, C. (2015). Representations in the Sixteenth-Century Arithmetic Books. Universal Journal of Educational Research, 3(6), 396–401. https://doi.org/10.13189/ujer.2015.030607
Minarni, A., Napitupulu, E. E., & Husein, R. (2016). Mathematical Understanding And Representation Ability Of Public Junior High School In North Sumatra. Journal on Mathematics Eduation, 7(1), 43–56.
NCTM. (2000). Principles and Standards for School Mathematics. The National Council of Teacher of Mathematics.
Sari, D. P., Darhim, & Rosjanuardi, R. (2018). Errors of students learning with react strategy in solving the problems of mathematical representation ability. Journal on Mathematics Education, 9(1), 121–128. https://doi.org/10.22342/jme.9.1.4378.121-128
Schreiber, C. (2013). Semiotic processes in chat-based problem-solving situations. Educ Stud Math, 82(July 2012), 51–73. https://doi.org/10.1007/s10649-012-9417-7
Sendera, H., Yakin, M., & Totu, A. (2014). The Semiotic Perspectives of Peirce and Saussure : A Brief Comparative Study. Procedia - Social and Behavioral Sciences, 155(October), 4–8. https://doi.org/10.1016/j.sbspro.2014.10.247
Suryaningrum, C. W., & Ningtyas, Y. D. W. K. (2019). Multiple representations in semiotic reasoning. Journal of Physics: Conference Series, 1315(1). https://doi.org/10.1088/1742-6596/1315/1/012064
Suryaningrum, C. W., Purwanto, Subanji, & Susanto, H. (2019). Semiotic Reasoning in Solving Plane Figure Area. International Journal of Recent Technology and Engineering, 8(1C2), 706–711.
Suryaningrum, C. W., Purwanto, Subanji, Susanto, H., Ningtyas, Y. D. W. K., & Irfan, M. (2020). Semiotic reasoning emerges in constructing properties of a rectangle: A study of adversity quotient. Journal on Mathematics Education, 11(1), 95–110. https://doi.org/10.22342/jme.11.1.9766.95-110
Suryaningrum, Christine W., Purwanto, P., Subanji, S., & Susanto, H. (2018). Why Do Students Make Errors when Solving Problem in Semiotic Representation? Atlantis Press, 218(ICoMSE 2017), 8–11. https://doi.org/10.2991/icomse-17.2018.3
Suryaningrum, Christine Wulandari, Purwanto, Subanji, & Susanto, H. (2018). Representation of Schematic Visual in Solving Pythagoras’ Wordproblems. International Journal of Insights for Mathematics Teaching, 01(1), 52–61.
Suryaningrum, Christine Wulandari, Purwanto, Subanji, & Susanto, H. (2020). Failure of Interpretation : Semiotic Representations in Fractional Problem Solving. Atlantis Press, 467(Semantik), 99–103.
Turkcan, B. (2013). Semiotic approach to the analysis of children’s drawings. Kuram ve Uygulamada Egitim Bilimleri, 13(1), 600–607.
Yang, C., & Hsu, T. (2015). Applying Semiotic Theories to Graphic Design Education : An Empirical Study on Poster Design Teaching. International Education Studies, 8(12), 117–129. https://doi.org/10.5539/ies.v8n12p117
Zhe, L. (2012). Survey of Primary Students ’ Mathematical Representation Status and Study on the Teaching Model of Mathematical Representation. Journal of Mathematical Education, 5(1), 63–76.
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