Insight problem resolution: proposal for a useful analytical method for teaching
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Abstract
Deliberately teaching creative skills is challenging because they become analytical or reproductive for students in the following task. This exploratory work aimed to propose a method for teachers to use insight-based creative problems in instruction. The proposal is based on analytical methods to help students generate the inferences needed to solve this type of problem, as well as to relate the ideas, both inferentialand from the problem statement, through logical reasoning. Several experts generated and reached a consensus on the necessary inferences during the solving of some insight problems. These inferences and the ideas from the problem statements were then connected using logical rules. Rubrics were also designed, with levels based on the students’ ability, or inability, to perform certain mental processes determined through analytical resolutions. These rubrics were tentatively validated with a sample of 127 secondary school students in 8th and 11th grades. Their use allowed for the evaluation of the students’ progress and specific challenges in aspects such as unit decomposition or relaxation of constraints, which are typical of these insight problems, as well as comparisons between different grades.
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References
Ash, I. K., Cushen, P. J., y Wiley, J. (2009). Obstacles in investigating the role of restructuring in insightful problem solving. The Journal of Problem Solving, 2(2). https://doi.org/10.7771/1932-6246.1056
Ash, I.K., Jee, B.D. y Wiley, J. (2012). Investigating insight as Sudden Learning. The Journal of Problem Solving, 4 (2), 1-27. https://doi.org/10.7771/1932-6246.1123
Brophy, D. R. (2001). Comparing the attributes, activities, and performance of divergent, convergent, and combination thinkers. Creativity Research Journal, 13, 439–455. https://doi.org/10.1207/S15326934CRJ1334_20
Can, D. (2020). The mediator effect of reading comprehension in the relationship between logical reasoning and word problem solving. Participatory Educational Research, 7(3), 230-246. https://doi.org/10.17275/per.20.44.7.3
Cañas, J. J., Fajardo, I., y Salmeron, L. (2006). Cognitive flexibility. International encyclopedia of ergonomics and human factors, 1(3), 297-301. https://doi.org/10.13140/2.1.4439.6326
Chowdhury, F. (2019). Application of rubrics in the classroom: A vital tool for improvement in assessment, feedback and learning. International education studies, 12(1), 61-68. https://doi.org/10.5539/ies.v12n1p61
Chu, Y. y MacGregor, J.N. (2011). Human performance on insight problem solving: A review. The Journal of Problem Solving, 3(2), 119-150. https://doi.org/10.7771/1932-6246.1094
Cockett, A.yJackson, C. (2018). The use ofassessment rubricsto enhancefeedbackin highereducation: An integrative literature review. Nurse education today, 69, 8-13. https://doi.org/10.1016/j.nedt.2018.06.022
Danek, A.H. y Wiley, J. (2017). What about False Insights? Deconstructing the Aha! Experience along Its Multiple Dimensions for Correct and Incorrect Solutions Separately. Frontiers in Psychology-Cognitive Science, 7, 1-14. https://doi.org/10.3389/fpsyg.2016.02077
Dawson, P. (2017). Assessment rubrics: towards clearer and more replicable design, research and practice. Assessment y Evaluation in Higher Education, 42(3), 347-360. https://doi.org/10.1080/02602938.2015.1111294
del Águila Ríos, Y., Capelo, M. R. T. F., Varela, J. M. C., Antequera, J. G. y Barroso, J. A. A. (2019). Creatividad y tecnologías emergentes en educación. Revista INFAD de Psicología. International Journal of Developmental and Educational Psychology., 3(1), 527-534. https://doi.org/10.17060/ijodaep.2019.n1.v3.1529
Dow, G.T. y Mayer, R.E. (2004). Teaching students to solve insight problems: Evidence for domain specificity in creativity training. Creativity Research Journal, 16(4), 389-398. https://doi.org/10.1080/10400410409534550
Elleman, A. M. (2017). Examining the impact of inference instruction on the literal and inferential comprehension of skilled and less skilled readers: A meta-analytic review. Journal of Educational Psychology, 109(6), 761–781. https://doi.org/10.1037/edu0000180
Fleck, J. I. y Weisberg, R. W. (2013). Insight versus analysis: Evidence for diverse methods in problem solving. Journal of Cognitive Psychology, 25(4), 436-463. http://dx.doi.org/10.1080/20445911.2013.779248
Haavold, P. Ø. y Sriraman, B. (2022). Creativity in problem solving: integrating two different views of insight. ZDM–Mathematics Education, 54(1), 83-96. https://doi.org/10.1007/s11858-021-01304-8
Harada, T. (2024). Q-learning model of insight problem solving and the effects of learning traits on creativity. Frontiers in Psychology, 14, 1287624. https://doi.org/10.3389/fpsyg.2023.1287624
Horanska, T., Bakumenko, T., Polishchuk, V., Atamanchuk, I. y Turchyn, T. (2022). Development of Students’ Verbal and Logical Thinking in the Course of Research Work. Journal of Curriculum and Teaching, 11(1); 185-194. Special Issue. https://doi.org/10.5430/jct.v11n1p185
Jonassen, D. H. (2011). Supporting problem solving in PBL. Interdisciplinary Journal of Problem-Based Learning, 5(2), 95-119. https://doi.org/10.7771/1541-5015.1256
Kasirer, A. y Shnitzer-Meirovich, S. (2021). The perception of creativity and creative abilities among general education and special education teachers. Thinking Skills and Creativity, 40, 100820. https://doi.org/10.1016/j.tsc.2021.100820
Knoblich, G., Ohlsson, S., Haider, H. y Rhenius, D. (1999). Constraint relaxation and chunk decomposition in insight problem solving. Journal of Experimental Psychology: Learning, memory, and cognition, 25(6),1534. https://doi.org/10.1037/0278-7393.25.6.1534
Labra, C. B., Pérez, D. G., Guisasola, J. y Torregrosa, J. M. (2005). ¿Podemos mejorar la enseñanza de la resolución de problemas de lápiz y papel en las aulas de Física y Química? Educación química, 16(2), 230-245.
Leikin, R. y Levav-Waynberg, A. (2020). Exploring creativity in mathematical problem solving and problem posing. Educational Studies in Mathematics, 103(3), 339-356. https://doi.org/10.1007/s10649-019-09920-2
MacGregor, J. N., Ormerod, T. C. y Chronicle, E. P. (2001). Information processing and insight: A process model of performance on the nine-dot and related problems. Journal of Experimental Psychology: Learning, Memory, and Cognition, 27(1), 176–201. https://doi.org/10.1037//0278-7393.27.1.176
Maisto, D., Donnarumma, F. y Pezzulo, G. (2015). Divide et impera: subgoaling reduces the complexity of probabilistic inference and problem solving. Journal of the Royal Society Interface, 12(104), 20141335. http://dx.doi.org/10.1098/rsif.2014.1335
Manalo, E. y Kapur, M. (2018). The role of failure in promoting thinking skills and creativity: New findings and insights about how failure can be beneficial for learning. Thinking Skills and Creativity, 30, 1-6. https://doi.org/10.1016/j.tsc.2018.06.001
Maries, A. y Singh, C. (2023). Helping students become proficient problem solvers Part I: A brief review. Education Sciences, 13(2), 156. https://doi.org/10.3390/educsci13020156
Marín-García,J. A. (2015).¿Quésabemossobreel uso derúbricasen laevaluación deasignaturas universitarias Intangible Capital, 11(1), 118-145. http://dx.doi.org/10.3926/ic.538
McDonald, A., Morrison, T.G., Wilcox, B. y Billen; M.T. (2021) Improving Children’s Reading Comprehension by Teaching Inferences. Reading Psychology, 42(3), 264-280. https://doi.org/10.1080/02702711.2021.1888351
Moss, J., Kotovsky, K. y Cagan, J. (2006). The Role of Functionality in the Mental Representations of Engineering Students: Some Differences in the Early Stages of Expertise. Cognitive Science, 30(6593). https://doi.org/10.1207/s15516709cog0000_45
Oakhill, J., Cain, K. y McCarthy, D. (2015). Inference processing in children: The contribution of depth and breadth of vocabulary knowledge. In E. J. O’Brien, A. E. Cook, y R. F. Lorch (Eds.), Inferences during reading (pp. 140–159). Cambridge University Press.
OECD (2023). PISA 2022 assessment and analytical framework. OECD. https://doi.org/10.1787/dfe0bf9c-en
Ohlsson, S. (2011). Deep learning: How the mind overrides experience. Cambridge University Press d Individual Differences, 139, 241-246. https://doi.org/10.1016/j.paid.2018.11.023
Öztürk, M., Sarikaya, . y Ada Yıldız, K. (2024). Middle school students’ problem solving performance: Identifying the factors that influence it. International Journal of Science and Mathematics Education, 22(6), 1363-1379. https://doi.org/10.1007/s10763-023-10423-5
Panadero, E. y Jonsson, A. (2013). The use of scoring rubrics for formative assessment purposes revisited: A review. Educational research review, 9, 129-144. https://doi.org/10.1016/j.edurev.2013.01.002
Robbins, J. K. (2011). Problem solving, reasoning, and analytical thinking in a classroom environment. The Behavior Analyst Today, 12(1), 41–48. https://doi.org/10.1037/h0100710
Rubenstein, L. D., McCoach, D. B. y Siegle, D. (2013). Teaching for creativity scales: An instrument to examine teachers’ perceptions of factors that allow for the teaching of creativity. Creativity Research Journal, 25, 324-334. https://doi.org/10.1080/10400419.2013.813807
Seif, A. A. (2023). Use of logic for improving the higher-order thinking skills of student teachers. European Journal of Interactive Multimedia and Education, 4(2). https://doi.org/10.30935/ejimed/13393
Skaar, Ø. O.y Reber, R. (2021). Motivation through insight: the phenomenologicalcorrelates of insightand spatialability tasks. Journal of Cognitive Psychology, 33(6-7), 631-643. https://doi.org/10.1080/20445911.2020.1844721
Sternberg, R.J. (1998). Metacognition, abilities, and developing expertise: What makes an expert student Instructional Science, 26, 127–140. https://doi.org/10.1023/A:1003096215103
Stevens, D.D. y Levi, A.J. (2023). Introduction to Rubrics: An Assessment Tool to Save Grading Time, Convey Effective Feedback, and Promote Student Learning (2nd ed.). Routledge. https://doi.org/10.4324/9781003445432
Strickland, T., Wiley, J. y Ohlsson, S. (2022). Hints and the Aha-Accuracy Effect in Insight Problem Solving. Proceedings of the Annual Meeting of the Cognitive Science Society, 44. https://escholarship.org/uc/item/638489j1
UNESCO (2022). Reshaping policies for creativity: Addressing culture as a global public Good. UNESCO.
Van den Broek, P. (2012). The causal inference maker: Towards a process model of inference generation in text comprehension. In Comprehension processes in Reading, 423-446. Routledge.
Van den Broek, P., Beker, K. y Oudega, M. (2015). Inference generation in text comprehension: Automatic and strategic processes in the construction of a mental representation. Inferences during reading, 94-121. Cambridge University Press.
Vink, I. C., Willemsen, R. H., Lazonder, A. W. y Kroesbergen, E. H. (2022). Creativity in mathematics performance: The role of divergent and convergent thinking. British Journal of Educational Psychology, 92(2), 484-501. https://doi.org/10.1111/bjep.12459
Wallas, G. (1926). The Art of Thought. Franklin Watts
Weisberg, R.W. (2015). Toward an integrated theory of insight in problem solving. Thinking and Reasoning, 21(1), 5-39. https://doi.org/10.1080/13546783.2014.886625
Zhang, Z., Li, Y., Zeng, Y., Deng, J., Xing, Q. y Luo, J. (2024). The involvement of decomposition and composition processes in restructuring during problem solving. Consciousness and Cognition, 121 (103685). https://doi.org/10.1016/j.concog.2024.103685
Zhu, W., Shang, S., Jiang, W., Pei, M. y Su, Y. (2019). Convergent thinking moderates the relationship between divergent thinking and scientific creativity. Creativity Research Journal, 31(3), 320-328. https://doi.org/10.1080/10400419.2019.1641685