Journal of Pedagogical Sociology and Psychology
Examination of the relationship between pre-service teachers' attitudes towards uncertainty, probability and its teaching
Handan Demircioğlu 1, Emine Nur Ünveren Bilgiç 2 *
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1 Sivas Cumhuriyet University, Faculty of Education, Sivas, Türkiye
2 Düzce University, Faculty of Education, Düzce, Türkiye
* Corresponding Author
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Journal of Pedagogical Sociology and Psychology, 2023 - Volume 5 Issue 3, pp. 73-88
https://doi.org/10.33902/jpsp.202323555

Article Type: Research Article

Published Online: 20 Oct 2023

Views: 670 | Downloads: 334

ABSTRACT
The aim of this study was to examine the relationship between pre-service elementary mathematics teachers' attitudes towards uncertainty and their attitudes towards probability and its teaching according to year of education and gender. A relational scanning survey model was used, which was applied by following the quantitative paradigm. Maximum diversity sampling was used in the study with 212 participants. The t-test, one-way analysis of variance, and Pearson's product moment correlation analysis were also used. The male pre-service teachers had lower negative attitudes towards uncertainty than the female pre-service teachers did. There was a significant difference in favor of the male pre-service teachers in AP_Total score, while there was a significant difference in favor of the female pre-service teachers in BT_Total and VPT_Total scores. A significant difference was found in the sub-dimensions according to year of education. Moreover, a weakly positive relationship (r=.212 p.01) was found between the pre-service teachers' attitudes regarding probability and its teaching and their attitudes toward uncertainty. It is suggested that the curriculum be restructured on the basis of an axiomatic context with an understanding of the uncertainty in life, and that this symbolic relationship between uncertainty in other disciplines and mathematics should be established.
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In-text citation: (Demircioğlu & Ünveren Bilgiç, 2023)
Reference: Demircioğlu, H., & Ünveren Bilgiç, E. N. (2023). Examination of the relationship between pre-service teachers' attitudes towards uncertainty, probability and its teaching. Journal of Pedagogical Sociology and Psychology, 5(3), 73-88. https://doi.org/10.33902/jpsp.202323555
In-text citation: (1), (2), (3), etc.
Reference: Demircioğlu H, Ünveren Bilgiç EN. Examination of the relationship between pre-service teachers' attitudes towards uncertainty, probability and its teaching. Journal of Pedagogical Sociology and Psychology. 2023;5(3), 73-88. https://doi.org/10.33902/jpsp.202323555
In-text citation: (1), (2), (3), etc.
Reference: Demircioğlu H, Ünveren Bilgiç EN. Examination of the relationship between pre-service teachers' attitudes towards uncertainty, probability and its teaching. Journal of Pedagogical Sociology and Psychology. 2023;5(3):73-88. https://doi.org/10.33902/jpsp.202323555
In-text citation: (Demircioğlu and Ünveren Bilgiç, 2023)
Reference: Demircioğlu, Handan, and Emine Nur Ünveren Bilgiç. "Examination of the relationship between pre-service teachers' attitudes towards uncertainty, probability and its teaching". Journal of Pedagogical Sociology and Psychology 2023 5 no. 3 (2023): 73-88. https://doi.org/10.33902/jpsp.202323555
In-text citation: (Demircioğlu and Ünveren Bilgiç, 2023)
Reference: Demircioğlu, H., and Ünveren Bilgiç, E. N. (2023). Examination of the relationship between pre-service teachers' attitudes towards uncertainty, probability and its teaching. Journal of Pedagogical Sociology and Psychology, 5(3), pp. 73-88. https://doi.org/10.33902/jpsp.202323555
In-text citation: (Demircioğlu and Ünveren Bilgiç, 2023)
Reference: Demircioğlu, Handan et al. "Examination of the relationship between pre-service teachers' attitudes towards uncertainty, probability and its teaching". Journal of Pedagogical Sociology and Psychology, vol. 5, no. 3, 2023, pp. 73-88. https://doi.org/10.33902/jpsp.202323555
REFERENCES
  • Abdellaoui, M., l’Haridon, O., & Zank, H. (2010). Separating curvature and elevation: A parametric probability weighting function. Journal of Risk and Uncertainty, 41, 39-65. https://doi.org/10.1007/s11166-010-9097-6
  • Ahsanuzzaman, Priyo A. K. K. & Nuzhat, K. A. (2018). Measuring group selection effects on attitudes toward uncertainty: experimental evidence from Bangladesh. Economic Research Group. https://doi.org/10.1257/rct.2855-2.0
  • Akay, A., Martinsson, P., Medhin, H., & Trautmann, S. T. (2012). Attitudes toward uncertainty among the poor: an experiment in rural Ethiopia. Theory and Decision, 73, 453-464. https://doi.org/10.1007/s11238-011-9250-y
  • Alvarado, H., Andaur, G., & Estrada, A. (2018). Attitudes towards probability and its teaching: An exploratory study with pre-service and in-service mathematics teachers from Chile. Revista Paradigma, 39(2), 36–64.
  • Batanero, C., & Serrano, L. (1999). The meaning of randomness for secondary school students. Journal for Research in Mathematics Education, 30(5), 558-567. https://doi.org/10.2307/749774
  • Batanero, C., Arteaga, P., Serrano, L., & Ruiz, B. (2014). Prospective primary school teachers’ perception of randomness. In E. Chernoff, & B. Sriraman (Eds), Probabilistic thinking: Presenting plural perspectives (pp. 345-366). Springer. https://doi.org/10.1007/978-94-007-7155-0_19
  • Batanero, C., Chernoff, E. J., Engel, J., Lee, H. S., & Sánchez, E. (2016). Research on teaching and learning probability. In G. Kaiser (Ed.), Research on teaching and learning probability: ICME-13 topical surveys. Springer. https://doi.org/10.1007/978-3-319-31625-3_1
  • Becker, L. A. (2000). Effect size (ES). Retrieved August 23, 2023 from https://www.uv.es/~friasnav/EffectSizeBecker.pdf
  • Bulut, S., Yetkin, İ. E., & Kazak, S. (2002). Investigation of prospective mathematics teachers' probabilitv achievement, attitudes toward probability and mathematics with respect to gender. Hacettepe University Education Faculty Journal, 22(22), 21-28.
  • Carneiro, E., Tavares, H., Sanches, M., Pinsky, I., Caetano, R., Zaleski, M., & Laranjeira, R. (2020). Gender differences in gambling exposure and at-risk gambling behavior. Journal of Gambling Studies, 36, 445-457. https://doi.org/10.1007/s10899-019-09884-7
  • de Oliveira Júnior, A. P., Zamora, P. R., de Oliveira, L. A., & de Souza, T. C. (2018). Student's Attitudes towards Probability and Statistics and Academic Achievement on Higher Education. Acta Didactica Napocensia, 11(2), 43-56. https://doi.org/10.24193/adn.11.2.4
  • Di Mauro, C., & Maffioletti, A. (2004). Attitudes to risk and attitudes to uncertainty: experimental evidence. Applied Economics, 36(4), 357-372. https://doi.org/10.1080/00036840410001674286
  • Dominiak,A. & Schnedler, W. (2011). Attitudes towards uncertainty and randomization: an experimental study. Economic Theory, 48(2-3), 289-312. https://doi.org/10.1007/s00199-011-0649-z
  • Eichler, A., & Vogel, M. (2014). Three approaches for modelling situations with randomness. In E. Chernoff, B. Sriraman (Eds.), Probabilistic thinking: Presenting plural perspectives (pp. 75-99). Springer. https://doi.org/10.1007/978-94-007-7155-0_4
  • Elbehary, S. (2020). Discussing the conditional probability from a cognitive psychological perspective. American Journal of Educational Research, 8(7), 491-501.
  • Ersanlı, K. & Uysal, E. (2015). Developping attitudes toward uncertainty scale. Electronic Journal of Social Sciences, 14(54), 46-53.
  • Estrada, A. & Batanero, C. (2015). Building an attitudes towards probability and its teaching scale for teachers. In C. Fernández (Ed..), Actas del XIX Simposio de la Sociedad Española de Investigación en Educación Matemática, SEIEM (pp. 239-248). Alicante.
  • Estrada, A., & Batanero, C. (2020). Prospective primary school teachers’ attitudes towards probability and its teaching. International Electronic Journal of Mathematics Education, 15(1), em0559. https://doi.org/10.29333/iejme/5941
  • Estrada, A., Batanero, C., & Díaz, C. (2018). Exploring teachers’ attitudes towards probability and its teaching. In C. Batanero & E. Chernoff, (Eds.), Teaching and learning stochastics: advances in probability education research (pp. 313-332). Springer. https://doi.org/10.1007/978-3-319-72871-1_18
  • Falk, R. (1989). Inference under uncertainty via conditional probabilities. Studies in Mathematics Education: The Teaching of Statistics, 7, 175-184.
  • Falk, R., & Konold, C. (1997). Making sense of randomness: Implicit encoding as a basis for judgement. Psychological Review, 104(2), 310–318. https://doi.org/10.1037/0033-295X.104.2.301
  • Gardenfors, P. (2004). Conceptual spaces: The geometry of thought. MIT press.
  • George, D., & Mallery, M. (2010). SPSS for windows step bysstep: A simple guide and reference. Allyn & Bacon.
  • Goldin, G. A., Hannula, M. S., Heyd-Metzuyanim, E., Jansen, A., Kaasila, R., Lutovac, S., ... & Zhang, Q. (2016). Attitudes, beliefs, motivation and identity in mathematics education: An overview of the field and future directions. Springer Open. https://doi.org/10.1007/978-3-319-32811-9
  • Gómez-Chacón, I. M. (2010). Students’ attitudes to learning mathematics with technology. Enseñanza de las ciencias: revista de investigación y experiencias didácticas, 28(2), 227-244. https://doi.org/10.5565/rev/ec/v28n2.197
  • Griffiths, A., & Wall, S. (2000). Intermediate microeconomics: theory and applications. Pearson Education.
  • Griffiths, M.D. (1989). Gambling in children and adolescents. Journal of Gambling Behavior, 5, 66- 83. https://doi.org/10.1007/BF01022138
  • Guinez, F. F., Vasquez, C., Brito, C., & Martinez, S. (2021). Alice in randomland: a resource for improving attitudes towards probability and its teaching. Statistics Education Research Journal, 20(2), 1-14. https://doi.org/10.52041/serj.v20i2.410
  • Hannigan, A., Gill, O., & Leavy, A. M. (2013). An investigation of prospective secondary mathematics teachers’ conceptual knowledge of and attitudes towards statistics. Journal of Mathematics Teacher Education, 16, 427-449. https://doi.org/10.1007/s10857-013-9246-3
  • Hourigan, M., & Leavy, A. M. (2020). Pre-service teachers’ understanding of probabilistic fairness: Analysis of decisions around task design. International Journal of Mathematical Education in Science and Technology, 51(7), 997-1019. https://doi.org/10.1080/0020739X.2019.1648891
  • İğdeli, A., & Sever, E. (2018). A philosophical and mathematical study of the concepts of uncertainty and risk. Aksaray University Journal of Social Sciences Institute, 2(1), 1–12.
  • Karataş, Z., &Uzun, K. (2018). Positive and negative beliefs about worry as the predictors of intolerance caused by uncertainty. Kastamonu Education Journal, 26(4), 1267-1276. https://doi.org/10.24106/kefdergi.434169
  • Kazak, S., & Pratt, D. (2017). Pre-service mathematics teachers’ use of probability models in making informal inferences about a chance game. Statistics Education Research Journal, 16(2), 287-304. https://doi.org/10.52041/serj.v16i2.193
  • Kazak, S., & Pratt, D. (2021). Developing the role of modelling in the teaching and learning of probability. Research in Mathematics Education, 23(2), 113-133. https://doi.org/10.1080/14794802.2020.1802328
  • Klir, G. J. (1995). Principles of uncertainty: What are they? Why do we need them?. Fuzzy sets and systems, 74(1), 15-31. https://doi.org/10.1016/0165-0114(95)00032-G
  • Knight, F.H. (1965). Risk, uncertainty and profit. Houghton Mifflin Company.
  • Kvatinsky, T., & Even, R. (2002). Framework for teacher knowledge and understanding about probability [Paper presentation]. Sixth International Conference on Teaching Statistics (CD), Cape Town, South Africa.
  • Ladouceur, R., Dubé, D., & Bujold, A. (1994). Gambling among primary school students. Journal of Gambling Studies, 10, 363-370. https://doi.org/10.1007/BF02104902
  • Liu, Y. (2013). Uncertain random variables: A mixture of uncertainty and randomness. Soft Computing, 17, 625-634. https://doi.org/10.1007/s00500-012-0935-0
  • Marzetti S., & Scazzieri R. (2011). Fundamental uncertainty: Rationality and plausible reasoning. Palgrave Macmillan.
  • Moore, D. (1990). Uncertainty. In L Steen (Ed.), On the shoulders of giants: New approaches to numeracy (pp. 95-137). National Academy Pres.
  • Nasser, F. M. (2004). Structural model of the effects of cognitive and affective factors on the achievement of Arabic-speaking pre-service teachers in introductory statistics. Journal of Statistics Education, 12(1), 1-28. https://doi.org/10.1080/10691898.2004.11910717
  • Neuman, W. L. (2006) Social research methods: qualitative and quantitative approaches. Pearson.
  • Pange, J., & Talbot, M. (2003). Literature survey and children's perception on risk. Zentralblatt für Didaktik der Mathematik, 35, 182-186. https://doi.org/10.1007/BF02655740
  • Park, R. E., & Burgess, E. W. (1921). Introduction to the science of sociology. University of Chicano Press.
  • Pe'er, G., Mihoub, J. B., Dislich, C., & Matsinos, Y. G. (2014). Towards a different attitude to uncertainty. Nature Conservation, 8, 95–114. https://doi.org/10.3897/natureconservation.8.8388
  • Philipp, R. (2007). Mathematics teachers' beliefs and affect. In F. Lester, Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257-315). Infomation Age.
  • Ruz, F., Molina-Portillo, E., Vásquez, C., & Contreras, J. M. (2020). Attitudes towards probability and its teaching in prospective mathematics teachers from Chile and Spain. Acta Scientiae, 22(2), 48-66. https://doi.org/10.17648/acta.scientiae.5489
  • Salifu, A. S., & Dokurugu, M. E. (2022). The relationship between pre-service teachers’ attitude towards statistics and attitude towards probability. Infinity, 11(1), 115-132. https://doi.org/10.22460/infinity.v11i1.p115-132
  • Savard, A. (2010). Simulating the risk without gambling: can student conceptions generate critical thinking about probability? [Paper presentation]. The International Conference on Teaching Statistic. Ljubljana, Slovenia.
  • Savard, A. (2014). Developing probabilistic thinking: What about people’s conceptions?. In E.J. Chernoff & B. Sriraman (Eds.), Probabilistic thinking: Presenting plural perspectives (pp. 283–298). Springer. https://doi.org/10.1007/978-94-007-7155-0_15
  • Şenol, C., & Akdağ, M. (2018). The relation between prospective teachers’ attitudes towards uncertainty and motivation in teaching. Education Sciences, 8(3), 122. https://doi.org/10.3390/educsci8030122
  • Serradó, A., Azcárate, P., & Cardeñoso, J. M. (2005, February). Randomness in textbooks: the influence of deterministic thinking. In M. Bosch (Eds.), Proceedings of CERME 4: Fourth Conference of the European Society for Research in Mathematics Education (pp. 1-10). Ramon Llull University. https://doi.org/10.52041/serj.v4i2.515
  • Shou, Y. & Olney, J. (2020) Attitudes toward risk and uncertainty: The role of subjective knowledge and affect. Journal of Behavioral Decision Making, 34(3), 393-404. https://doi.org/10.1002/bdm.2217
  • Stohl, H. (2005). Probability in teacher education and development. In G. A. Jones (Eds.), Exploring probability in school: Challenges for teaching and learning (pp. 345-366). Springer. https://doi.org/10.1007/0-387-24530-8_15
  • Tabachnick, B. G., & Fidell, L. S.(2013). Using multivariate statistics. Pearson.
  • Thalheimer, W., ve Cook, S. (2002). How to calculate effect sizes from published research articles: A simplified methodology. Work-Learning Research.
  • Uysal, E. (2015). Effect of cultural differences in attitude towards uncertainty (Publication no. 396917). [Master’s thesis, Ondokuz Mayıs University]. Council of Higher Education Thesis Center.
  • Vartuli, S. (2005). Beliefs: The heart of teaching. YC Young Children, 60(5), 76-86.
  • Vásquez Ortiz, C., Alvarado Martínez, H., & Ruz, F. (2019). Attitudes of future teachers of childhood education towards statistics, probability and its teaching. Educación matemática, 31(3), 177-202.
  • Windschitl, P.D., & Wells, G.L. (1996). Measuring psychological uncertainty: Verbal versus numeric methods. Journal of Experimental Psychology: Applied, 2, 343-364. https://doi.org/10.1037/1076-898X.2.4.343
  • Wong, G., Zane, N., Saw, A., & Chan, A. K. K. (2013). Examining gender differences for gambling engagement and gambling problems among emerging adults. Journal of Gambling Studies, 29, 171-189. https://doi.org/10.1007/s10899-012-9305-1
  • Yılmaz, T. (2023). The relationship between university students' perceived level of uncertainty and their decision-making behaviors (Publication no. 785686). [Master’s thesis, Bartın University]. Council of Higher Education Thesis Center.
  • Zientek, L. R., Carter, T. A., Taylor, J. M., & Capraro, R. M. (2011). Preparing prospective teachers: An examination of attitudes toward statistics. Journal of Mathematical Sciences & Mathematics Education, 5(1), 25-38.
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