Anxiety of Students in Visualization, Analysis, and Informal Deduction Levels to Solve Geometry Problems

Sunardi ., Erfan Yudianto, Susanto ., Dian Kurniati, Rahmad Dwi Cahyo, Subanji .

Abstract


This research aims to describe the anxiety of grade 9 students to solve geometry problems based on the IDEAL stages, that is, identify, define, explore, act, and look back. The subjects were three students who each had one student at each level, namely, visualization, analysis, and informal deduction. The data were collected through tests and interviews. To guarantee the validity and reliability of the research, the triangulation technique was used. The findings and conclusions were as follows:  students’ visualization anxiety could be observed in the explore stage, which was caused by their confusion to use the Pythagorean theorem in which only one side was known, and in the act stage, which was caused by the thinking barrier as they were unable to write the solution and add the explanation; students’ analysis anxiety could be observed in the act stage, which was caused by their confusion to ponder over the working time and the use of a wrong method, and in the look-back stage, which was caused by their uncertainty and worry for giving incorrect answers; and students’ informal deduction anxiety appeared in the act stage, which was caused by the thinking barrier as they were unable to describe the use of proportion of base and perpendicular of a right triangle.

https://doi.org/10.26803/ijlter.18.4.10


Keywords


Anxiety; IDEAL Stages; Geometry; Van Hiele

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References


Armah, R. B., Cofie, P. O., & Okpoti, C. A. (2018). Investigating the Effect of van Hiele Phase-based Instruction on Pre-service Teachers’ Geometric Thinking. International Journal of Research in Education and Science. https://doi.org/10.21890/ijres.383201

Bransford, J. D., & Stein, B. S. (1993). The IDEAL Problem Solver Second Edition (2nd ed.). New York: W. H. Freeman and Company.

Chang, H., Sprute, L., Maloney, E. A., Beilock, S. L., & Berman, M. G. (2017). Simple arithmetic: Not so simple for highly math anxious individuals. Social Cognitive and Affective Neuroscience, 12(12), 1940–1949. https://doi.org/10.1093/scan/nsx121

Das, R., & Das, G. C. (2013). Math Anxiety: The Poor Problem Solving Factor in School Mathematics. International Journal of Scientific and Research Publications, 3(4), 1–5.

Fitriyani, H., & Widodo, S. A. (2018). Students ’ Geometric Thinking Based on van Hiele ’ S Theory. 7(1). https://doi.org/10.22460/infinity.v7i1.p53-60

Foose, T. E. (2014). Anxiety. In Encyclopedia of the Neurological Sciences. https://doi.org/10.1016/B978-0-12-385157-4.01080-0

Gresham, G. (2010). A study exploring exceptional education pre-service teachers’ mathematics anxiety. IUMPST, 4.

Khotimah, H. (2013). Meningkatkan Hasil Belajar Geometri dengan Teori van Hiele. [Improve results of learning geometry with van Hiele's theory]. Penguatan Peran Matematika dan Pendidikan Matematika untuk Indonesia yang Lebih Baik, 10–16. [Strengthening the Role of Mathematics and Mathematics Education for a Better Indonesia , 10-16]. Yogyakarta: Pendidikan Matematika Fakultas MIPA Universitas Negeri Yogyakarta. [Mathematics Education, Faculty of Mathematics and Natural Sciences, Yogyakarta State University]

Kurniati, D., Purwanto, P., As’ari, A. R., & Dwiyana, D. (2018). The Truth-Seeking and Open-Mindedness of Pre-Service Mathematics Teachers in the Solution of Non-Routine Problem. International Journal of Instruction, 12(1), 915–930. https://doi.org/10.29333/iji.2019.12159a

Marsh, L. (2018). Understanding Anxiety and Panic Attacks (2nd ed.). London: Mind (National Association for Mental Health.

Peker, M. (2009). Pre-service teachers teaching about mathematics and their learning styles. Eurasia Journal of Mathematics, Sciene, & Technology Education, 5(4), 335–345.

Putwain, D. (2007). Researching academic stress and anxiety in students: Some methodological considerations. British Educational Research Journal, 33(2), 207–219. https://doi.org/10.1080/01411920701208258

Ramirez, G., Chang, H., Maloney, E. A., Levine, S. C., & Beilock, S. L. (2016). Journal of Experimental Child On the relationship between math anxiety and math achievement in early elementary school : The role of problem solving strategies. Journal of Experimental Child Psychology, 141, 83–100. https://doi.org/10.1016/j.jecp.2015.07.014

Rector, N. A., Bordeau, D., Kitchen, K., & Massiah, L. J. (2005). Anxiety Disorders an Information Guide (1st ed.). Kanada: Centre for Addiction and Mental Health.

Ridder, H. G., Miles, M. B., Michael Huberman, A., & Saldaña, J. (2014). Qualitative data analysis. A methods sourcebook. Zeitschrift Fur Personalforschung.

Rix, J. (2015). How Anxiety Scrambles Your Brain and Makes It Hard to Learn. Retrieved March 16, 2019, from https://www.theguardian.com/education/2015/nov/21/how-anxiety-scrambles-your-brain-and-makes-it-hard-to-learn

Saglam, Y., Türker, B., & Umay, A. (2011). Geometry anxiety scale for secondary school students. Procedia Social and Behavioral Sciences, 15(2011), 966–970. https://doi.org/10.1016/j.sbspro.2011.03.222

Stuart, G. W. (2006). Buku Saku Keperawatan Jiwa. [Soul nursing pocket book]. Jakarta: EGC.

Van de Walle, J. A., Folk, S., Karp, K. S., & Bay-Williams, J. M. (2013). Elementary and Midle School Mathematics: Theaching Developmentally. 8th ed. Boston: Pearson.

Walle, V. D. (1994). Elementary School Mathematics. New York: Longman.

Wu, S. S., Willcutt, E. G., Escovar, E., & Menon, V. (2014). Mathematics Achievement and Anxiety and Their Relation to Internalizing and Externalizing Behaviors. Journal of Learning Disabilities, 47(6), 503–514. https://doi.org/10.1177/0022219412473154

Yudianto, E., & Sunardi. (2015). Antisipasi siswa level analisis dalam menyelesaikan masalah geometri. [Anticipate student level analysis in solving geometry problems]. AdMathEdu, 5(2), 203–216.

Yudianto, E., Sunardi, Sugiarti, T., Susanto, Suharto, & Trapsilasiwi, D. (2018). The identification of van Hiele level students on the topic of space analytic geometry. Journal of Physics: Conference Series, 983(1), 1–5. https://doi.org/10.1088/1742-6596/983/1/012078


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