LOOKING WITHOUT SEEING: THE ROLE OF METACOGNITIVE BLINDNESS OF STUDENT WITH HIGH MATH ANXIETY
DOI:
https://doi.org/10.5937/IJCRSEE1902053FKeywords:
metacognitive blindness, problem-solving, mathematics anxiety, lack of progress, error detection, anomalous resultAbstract
This study aims to reveal how metacognitive failure occurs during problem-solving experienced by the pre-service teacher with mathematics anxiety. The data collected are in the form of words obtained through interviews, pictures of the results of the subject’s work, and the results of the mathematics anxiety questionnaire as an instrument for selecting subjects. Description of data analysis and interpretation of the meaning of the findings apply text analysis. Analysis is conducted in all phases of problem-solving including the phase of understanding, analyzing, exploring, planning, implementing, and verifying. The presence of metacognitive blindness is identified through red flag, which is a warning sign to stop or retreat to the previous problem-solving phase and immediately take certain actions. Three types of red flag identified in this study include lack of progress (LP), error detection (ED), and anomalous results (AR). The results of the analysis show that students who experience math anxiety can experience metacognitive blindness during the problem-solving process. Red flag, which is dominant in metacognitive blindness, is error detection. This red flag occurs because subjects with mathematics anxiety pay less attention to the details of the problem, so they miss a lot of important information. The subjects see the problem only on the surface, based on the words they read in the problem presented.
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Abdullah, A. H., Abidin, N. L. Z., & Ali, M. (2015). Analysis of students’ errors in solving Higher Order Thinking Skills (HOTS) problems for the topic of fraction. Asian Social Science, 11(21), 133. http://dx.doi.org/10.5539/ass.v11n21p133
Artz, A. F., & Armour-Thomas, E. (1992). Development of a cognitive-metacognitive framework for protocol analysis of mathematical problem solving in small groups. Cognition and instruction, 9(2), 137-175. https://doi.org/10.1207/s1532690xci0902_3
Blazer, C. (2011). Strategies for Reducing Math Anxiety. Information Capsule. Volume 1102. Research Services, Miami-Dade County Public Schools. https://eric.ed.gov/?id=ED536509
Cai, J., & Lester, F. (2010). Why is teaching with problem solving important to student learning. National council of teachers of mathematics, 13(12), 1-6.
Carey, E., Hill, F., Devine, A., & Szücs, D. (2016). The chicken or the egg? the direction of the relationship between mathematics anxiety and mathematics performance. Frontiers in Psychology. 6:1987 https://doi.org/10.3389/fpsyg.2015.01987
Engle, R. W., Tuholski, S. W., Laughlin, J. E., & Conway, A. R. (1999). Working memory, short-term memory, and general fluid intelligence: a latent-variable approach. Journal of experimental psychology: General, 128(3), 309. http://dx.doi.org/10.1037/0096-3445.128.3.309
Faradiba, S. S., Sadijah, C., Parta, I. N., & Rahardjo, S. (2019, February). Metacognitive therapy for mathematics disorder. In Journal of Physics: Conference Series (Vol. 1157, No. 4, p. 042079). IOP Publishing. https://iopscience.iop.org/article/10.1088/1742-6596/1157/4/042079/meta
Fias, W., Menon, V., & Szucs, D. (2013). Multiple components of developmental dyscalculia. Trends in Neuroscience and Education, 2(2), 43-47. https://doi.org/10.1016/j.tine.2013.06.006
Fletcher, J. M., Lyon, G. R., Fuchs, L. S., & Barnes, M. A. (2007). Learning disabilities: From identification to intervention. New York: Guilford Press, page 324 (ISBN-13: 978-1-59385-370-9)
Garofalo, J., & Lester, F. K. (1985). Metacognition, cognitive monitoring, and mathematical performance. Journal for Research in Mathematics Education, 16(3), 163-176. http://dx.doi.org/10.2307/748391
Geary, D. C. (2011). Cognitive predictors of achievement growth in mathematics: a 5-year longitudinal study. Developmental psychology, 47(6), 1539. http://dx.doi.org/10.1037/a0025510
Goos, M. (2002). Understanding metacognitive failure. The Journal of Mathematical Behavior, 21(3), 283-302. https://doi.org/10.1016/S0732-3123(02)00130-X
Goos, M., Galbraith, P., & Renshaw, P. (2000). A money problem: A source of insight into problem solving action. International Journal for Mathematics Teaching and Learning, 1-21.https://www.researchgate.net/profile/Peter_Galbraith/publication/43487463_A_money_problem_A_source_of_insight_into_problem_solving_action/links/02bfe5112e309d5c45000000/A-money-problem-A-source-of-insight-into-problem-solving-action.pdf
Goswami, U., & Szűcs, D. (2011). Educational neuroscience: Developmental mechanisms: Towards a conceptual framework. NeuroImage, 57(3), 651-658. http://dx.doi.org/10.1016/j.neuroimage.2010.08.072
Guven, B., & Cabakcor, B. O. (2013). Factors influencing mathematical problem-solving achievement of seventh grade Turkish students. Learning and Individual Differences, 23, 131-137. https://doi.org/10.1016/j.lindif.2012.10.003
Hoffman, B. (2010). “I think I can, but I’m afraid to try”: The role of self-efficacy beliefs and mathematics anxiety in mathematics problem-solving efficiency. Learning and individual differences, 20(3), 276-283. https://doi.org/10.1016/j.lindif.2010.02.001
Hofmann, S. G., Smits, J. A., Asnaani, A., Gutner, C. A., & Otto, M. W. (2011). Cognitive enhancers for anxiety disorders. Pharmacology Biochemistry and Behavior, 99(2), 275-284. https://doi.org/10.1016/j.pbb.2010.11.020
Hoorfar, H., & Taleb, Z. (2015). Correlation between mathematics anxiety with metacognitive knowledge. Procedia-Social and Behavioral Sciences, 182, 737-741. https://doi.org/10.1016/j.sbspro.2015.04.822
Jackson, C. D., & Leffingwell, R. J. (1999). The role of instructors in creating math anxiety in students from kindergarten through college. The Mathematics Teacher, 92(7), 583-586. https://www.jstor.org/stable/27971118
Leon, M. R. (1989). Anxiety and the inclusiveness of information processing. Journal of Research in Personality, 23(1), 85-98. https://doi.org/10.1016/0092-6566(89)90035-4
Mack, A., & Rock, I. (1998). Inattentional blindness. MIT press. https://books.google.rs/books?hl=en&lr=&id=ljSjCGAG1HQC&oi=fnd&pg=PP9&dq=Mack,+A.,+%26+Rock,+I.+(1998).+Inattentional+Blindness.+Cambridge,+MA:+MIT+Press.&ots=AhSBHlG5LX&sig=_BVauV_5sygfjQjK3xiCEF7YNNk&redir_esc=y#v=onepage&q=Mack%2C%20A.%2C%20%26%20Rock%2C%20I.%20(1998).%20Inattentional%20Blindness.%20Cambridge%2C%20MA%3A%20MIT%20Press.&f=false Mammarella, I. C., Hill, F., Devine, A., Caviola, S., & Szűcs, D. (2015). Math anxiety and developmental dyscalculia: a study on working memory processes. Journal of clinical and experimental neuropsychology, 37(8), 878-887. https://doi.org/10.1080/13803395.2015.1066759
Plake, B. S., & Parker, C. S. (1982). The development and validation of a revised version of the Mathematics Anxiety Rating Scale. Educational and Psychological Measurement, 42(2), 551-557. https://doi.org/10.1177/001316448204200218
Ramirez, G., Gunderson, E. A., Levine, S. C., & Beilock, S. L. (2013). Math anxiety, working memory, and math achievement in early elementary school. Journal of Cognition and Development, 14(2), 187-202. https://doi.org/10.1080/15248372.2012.664593
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. Handbook of research on mathematics teaching and learning, 334370. http://howtosolveit.pbworks.com/f/Schoenfeld_1992%20Learning%20to%20Think%20Mathematically.pdf
Stillman, G. (2004). Strategies employed by upper secondary students for overcoming or exploiting conditions affecting accessibility of applications tasks. Mathematics Education Research Journal, 16(1), 41-71. https://doi.org/10.1007/BF03217390
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