Pupils’ School Performance and Their Cognitive Abilities to Solve Problems

Authors

  • Eva Hejnová Faculty of Science, University of Jan Evangelista Purkyně in Ústí nad Labem
  • Petr Eisenmann Faculty of Science, University of Jan Evangelista Purkyně in Ústí nad Labem https://orcid.org/0000-0003-4492-5569
  • Lucie Loukotová Faculty of Science, University of Jan Evangelista Purkyně in Ústí nad Labem
  • Jiří Přibyl Faculty of Science, University of Jan Evangelista Purkyně in Ústí nad Labem https://orcid.org/0000-0001-9453-0907

DOI:

https://doi.org/10.7160/eriesj.2024.170105

Keywords:

Culture of problem solving, lower secondary school, mathematics education, school performance, scientific reasoning

Abstract

The paper describes the results of a study whose main aim was to find the correlation between a pupil’s school grades in Czech language (native), mathematics and physics and pupils' cognitive predispositions to problem solving in science and mathematics diagnosed by the Lawson Classroom Test of Scientific Reasoning and the Culture of Problem Solving test. The total of 180 pupils from the Czech Republic aged 14–15 took part in this study.

The results show that pupils with better grades in the monitored subjects achieve better results in both tests. It also turns out that there are generally statistically insignificant differences between the results of pupils assessed by grades 1 or 2, and between the results of pupils assessed by grades 3 or 4. Pupils’ performance in the two tests might help to strengthen the objectivization of grading at school. They might also help to identify the indicators important for the development of problem-solving skills. The research specifically points at the need of developing algebraic thinking, conception of infinity, spatial imagination, geometric imagination in the plane, proportional reasoning and the abilities of the control of variables.

References

Akbaşl, S., Şahin, M. and Yaykiran, Z. (2016) 'The Effect of Reading Comprehension on the Performance in Science and Mathematics', Journal of Education and Practice, Vol. 7, No. 16, pp. 108-121.

Alsina, C. and Nelsen, R. B. (2006) Math made visual: creating images for understanding mathematics, Washington DC: Mathematical Association of America.

Bao, L., Cai, T., Koenig, K., Fang, K., Han, J., Wang, J., Liu, Q., Ding, L., Cui, L., Luo, Y, Wang, Y., Li, L. and Wu, N. (2009) 'Learning and Scientific Reasoning', Science, Vol. 323, No. 5914, pp. 586-587. https://doi.org/10.1126/science.1167740

Black, P., Harrison, C., Lee, C., Marshall, B. and Wiliam, D. (2003) Assessment for learning: putting it into practice, Maidenhead: Open Univ. Press.

Black, P., Harrison, C., Lee, C., Marshall, B. and Wiliam, D. (2004) 'Working inside the Black Box: Assessment for Learning in the Classroom', Phi Delta Kappan, Vol. 86, No. 1, pp. 8-21. https://doi.org/10.1177/003172170408600105

Boaler, J. and Dweck, C. (2016) Mathematical mindsets: unleashing students’ potential through creative math, inspiring messages, and innovative teaching, San Francisco: Wiley

Česká školní inspekce (ČŠI) (2019) Rozvoj matematické gramotnosti na základních a středních školách ve školním roce 2017/2018 [Development of mathematical literacy in primary and secondary schools in the school year 2017/2018], Praha: Česká školní inspekce.

Chamberlin, S. A. and Moon, S. M. (2005) 'Model-Eliciting Activities as a Tool to Develop and Identify Creatively Gifted Mathematicians', Journal of Secondary Gifted Education, Vol. 17, No. 1, pp. 37-47. https://doi.org/10.4219/jsge-2005-393

Chvál, M., Procházková, I. and Straková, J. (2015) Hodnocení výsledků vzdělávání didaktickými testy [Evaluation of learning outcomes by didactic tests], Praha: Česká školní inspekce.

Cihlář, J., Eisenmann, P., Hejnová, E., and Přibyl, J. (2017). 'Science reasoning and culture of problem solving', Proceedings of the 14th International Conference (ERIE 2017), Prague, pp. 33-40.

Cihlář, J., Eisenmann, P., Hejnová, E., and Přibyl, J. (2020). 'Problem Solving in Mathematics and Scientific Reasoning', The New Educational Review, Vol. 41, No. 3, pp. 97-108. https://doi.org/10.15804/tner.20.61.3.08

Hejnová, E., Eisenmann, P., Cihlář, J. and Přibyl, J. (2018) 'Relations between Scientific Reasoning, Culture of Problem Solving and Pupil’s School Performance', Journal on Efficiency and Responsibility in Education and Science, Vol. 11, No. 2, pp. 38-44. https://doi.org/10.7160/eriesj.2018.110203

Coletta, V. P. and Phillips, J. A. (2005) 'Interpreting FCI scores: Normalized gain, preinstruction scores, and scientific reasoning ability', American Journal of Physics, Vol. 73, No. 12, pp. 1172-1182. https://doi.org/10.1119/1.2117109

Dowd, J. E., Thompson, R. J., Schiff, L. A. and Reynolds, J. A. (2018) 'Understanding the Complex Relationship between Critical Thinking and Science Reasoning among Undergraduate Thesis Writers', CBE Life Sciences Education, Vol. 17, No. 1, pp. ar4. https://doi.org/10.1187/cbe.17-03-0052

Dvořáková, I. (2011) 'Scientific reasoning of pupils - How to develop and test it' [Online], Available: https://kdf.mff.cuni.cz/lide/dvorakova/Plzen_prispevek_Dvorakova.pdf [17 Jun 2023]

Eisenmann, P., Novotná, J., Přibyl, J. and Břehovský, J. (2015) 'The development of a culture of problem solving with secondary students through heuristic strategies', Mathematics Education Research Journal, Vol. 27, No. 4, pp. 535-562. http://doi.org/10.1007/s13394-015-0150-2

Field, A. (2013) Discovering Statistics Using IBM SPSS Statistics, Sage: London.

Fryč, J., Matušková, Z., Katzová, P., Kovář, K., Beran, J., Valachová, I., Seifert, L., Běťáková, M. and Hrdlička, F. (2020) 'Strategy for the Education Policy of the Czech Republic up to 2030', Praha: Ministerstvo školství, mládeže a tělovýchovy. [Online], Available: https://www.msmt.cz/uploads/Brozura_S2030_online_CZ.pdf [20 Jun 2023]

Gardner, H. (1993) Frames of mind: the theory of multiple intelligences, New York: BasicBooks.

Gormally, C., Brickman, P. and Lutz, M. (2012) 'Developing a Test of Scientific Literacy Skills (TOSLS): Measuring Undergraduates’ Evaluation of Scientific Information and Arguments', CBE—Life Sciences Education, Vol. 11, No. 4, pp. 364-377. https://doi.org/10.1187/cbe.12-03-0026

Guilford, J. P. (1967) The nature of human intelligence, New York: McGraw-Hill.

Han, J. (2013) Scientific Reasoning: Research, Development, and Assessment, [Ph.D. thesis], Ohie: The Ohio State University.

Hand, B. M., Prain, V. and Yore, L. (2001) 'Sequential Writing Tasks’ Influence on Science Learning', in Tynjälä, P., Mason, L. and Lonka, K. (ed.) Writing as a Learning Tool, Dordrecht: Springer. https://doi.org/10.1007/978-94-010-0740-5_7

Hilbert, S., Bruckmaier, G., Binder, K., Krauss, S. and Bühner, M. (2019) 'Prediction of elementary mathematics grades by cognitive abilities', European Journal of Psychology of Education, Vol. 34, No. 3, pp. 665-683. https://doi.org/10.1007/s10212-018-0394-9

Hrabal, V. (1989) Pedagogicko-psychologická diagnostika žáka [Pedagogical and psychological diagnosis of the pupil], Praha: Státní pedagogické nakladatelství.

Jalili, A., Hejazi, M., Fomani, G. E. and Morovvati, Z. (2018) 'The Correlation between IQ with Educational Performance and Problem Solving Mediation', Journal of Health Promotion Managment, Vol. 7, No. 1, pp. 1-8. https://doi.org/10.21859/jhpm-08011

Juter, K. and Sriraman, B. (2011) 'Does High Achieving in Mathematics = Gifted and/or Creative in Mathematics?', in Sriraman, B. and Lee, K. H. (ed.) The Elements of Creativity and Giftedness in Mathematics, Rotterdam: SensePublishers. https://doi.org/10.1007/978-94-6091-439-3_4

Kaur, B. and Yeap, B. H. (2009) Pathways to reasoning and communication in the primary school mathematics classroom: A resource for teachers by teachers, Singapore: Centre for Research in Pedagogy and Practice, National Institute of Education.

Kwon, O. N., Park, J. H. and Park, J. S. (2006) 'Cultivating divergent thinking in mathematics through an open-ended approach', Asia Pacific Education Review, Vol. 7, No. 1, pp. 51-61. https://doi.org/10.1007/BF03036784

Lawson, A. E. (1978) 'The development and validation of a classroom test of formal reasoning', Journal of Research in Science Teaching, Vol. 15, No. 1, pp. 11-24. https://doi.org/10.1002/tea.3660150103

Lawson, A. E. (1982) 'The nature of advanced reasoning and science instruction', Journal of Research in Science Teaching, Vol. 19, No. 9, pp. 743-760. https://doi.org/10.1002/tea.3660190904

Lawson, A. E. (2004) 'The Nature and Development of Scientific Reasoning: A Synthetic View', International Journal of Science and Mathematics Education, Vol. 2, No. 3, pp. 307-338. https://doi.org/10.1007/s10763-004-3224-2

Lawson, A. E. (2005) 'What is the role of induction and deduction in reasoning and scientific inquiry?', Journal of Research in Science Teaching, Vol. 42, No. 6, pp. 716-740. https://doi.org/10.1002/tea.20067

Ministerstvo školství, mládeže a tělovýchovy (2017) 'Rámcový vzdělávací program pro základní vzdělávání [Framework Education Programme for Basic Education]', [Online], Available: https://www.msmt.cz/file/43792_1_1/ [10 June 2023]

Naylor, S., Keogh, B. and Goldsworthy, A. (2005) Active Assessment for Science: Thinking, Learning and Assessment in Science, London: Routledge.

Nunes, T. and Bryant, P. (2015) Handbook of Child Psychology and Developmental Science: Volume II - Cognitive Processes, Hoboken: John Wiley & Sons, Inc. https://doi.org/10.1002/9781118963418.childpsy217

Opitz, A., Heene, M. and Fischer, F. (2017) 'Measuring scientific reasoning - a review of test instruments', Educational Research and Evaluation, Vol. 23, No. 3-4, pp. 78-101. https://doi.org/10.1080/13803611.2017.1338586

Padilla, M. J. (1990) The Science Process Skills, [Online], Available: https://narst.org/research-matters/science-process-skills [20 June 2022]

Pape, S. J. (2004) 'Middle School Children’s Problem-Solving Behavior: A Cognitive Analysis from a Reading Comprehension Perspective', Journal for Research in Mathematics Education, Vol. 35, No. 3, pp. 187. https://doi.org/10.2307/30034912

Pólya, G. and Conway, J. H. (2004) How to solve it: a new aspect of mathematical method, Princeton: Princeton University Press.

Potužníková, E., Janotová, Z. and Blažek, R. (2019) Mezinárodní šetření PISA 2018: Koncepční rámec hodnocení čtenářské gramotnosti [PISA 2018: conceptual framework for reading literacy], Praha: Česká školní inspekce.

Raven, J., Raven, J. C. and Court, J. H. (2000) Manual for Raven’s Progressive Matrices and Vocabulary Scales: Section 3: The standard progressive matrices (including the parallel and plus versions), Oxford: Oxford Psychologists Press.

Rezaie, M. and Gooya, Z. (2011) 'What do I mean by combinatorial thinking?', Procedia - Social and Behavioral Sciences, Vol. 11, pp. 122-126. https://doi.org/10.1016/j.sbspro.2011.01.046

Samková, L., Rokos, L. and Vízek, L. (2021) 'A Joint Assessment of Reasoning about General Statements in Mathematics and Biology', Journal on Efficiency and Responsibility in Education and Science, Vol. 14, No. 4, pp. 270-287. https://doi.org/10.7160/eriesj.2021.140406

Schoenfeld, A. H. (1982) 'Measures of Problem-Solving Performance and of Problem-Solving Instruction', Journal for Research in Mathematics Education, Vol. 13, No. 1, pp. 31. https://doi.org/10.2307/748435

Slavík, J. (1999) Hodnocení v současné škole: Východiska a nové metody pro praxi [Evaluation in the present school: Starting points and new methods for practice], Praha: Portál.

Sriraman, B. (2005) 'Are Giftedness and Creativity Synonyms in Mathematics?', Journal of Secondary Gifted Education, Vol. 17, No. 1, pp. 20-36. https://doi.org/10.4219/jsge-2005-389

Suurtamm, C., Thompson, D. R., Kim, R. Y., Moreno, L. D., Sayac, N., Schukajlow, S., Silver, E., Ufer, S. and Vos, P. (2016) Assessment in Mathematics Education, Cham: Springer. https://doi.org/10.1007/978-3-319-32394-7

Swan, M. and Burkhardt, H. (2012) 'A Designer Speaks: Designing Assessment of Performance in Mathematics', Educational Designer, Vol. 2, No. 5.

Syafril, S., Aini, N. R., Netriwati, Pahrudin, A., Yaumas, N. E., and Engkizar (2020) 'Spirit of Mathematics Critical Thinking Skills (CTS)', Journal of Physics: Conference Series, Lampung, Vol. 1467, No. 1, pp. 012069. https://doi.org/10.1088/1742-6596/1467/1/012069

Tajudin, N. M. and Chinnappan, M. (2015) 'Exploring relationship between scientific reasoning skills and mathematics problem solving', in Marshman, M., Geiger, V. and Bennison, A. (ed.) Mathematics education in the margins: Proceedings of the 38th annual conference of the Mathematics Education Research Group of Australasia, Australia: Mathematics Education Research Group of Australasia.

Valanides, N. (1997) 'Cognitive Abilities among Twelfth‐grade Students: Implications for Science Teaching∗', Educational Research and Evaluation, Vol. 3, No. 2, pp. 160-186. https://doi.org/10.1080/1380361970030204

Vilenius‐Tuohimaa, P. M., Aunola, K. and Nurmi, J. (2008) 'The association between mathematical word problems and reading comprehension', Educational Psychology, Vol. 28, No. 4, pp. 409-426. https://doi.org/10.1080/01443410701708228

Wong, K. Y. and Lee, N. H. (2009) 'Singapore Education and Mathematics Curriculum', in Wong, K. Y., Lee, P. Y., Kaur, B., Foong, P. Y. and Ng, S. F. (ed.) Series on Mathematics Education, Singapore: World Scientific. https://doi.org/10.1142/9789812833761_0002

Wu, M. and Adams, R. (2006) 'Modelling mathematics problem solving item responses using a multidimensional IRT model', Mathematics Education Research Journal, Vol. 18, No. 2, pp. 93-113. https://doi.org/10.1007/BF03217438

Zhou, C. (2012) 'Teaching engineering students creativity: a review of applied strategies', Journal on Efficiency and Responsibility in Education and Science, Vol. 5, No. 2, pp. 99-114. https://doi.org/10.7160/eriesj.2012.050205

Zimmerman, C. (2007) 'The development of scientific thinking skills in elementary and middle school', Developmental Review, Vol. 27, No. 2, pp. 172-223. https://doi.org/10.1016/j.dr.2006.12.001

Additional Files

Published

2024-03-31

How to Cite

Hejnová, E., Eisenmann, P., Loukotová, L. and Přibyl, J. (2024) ’Pupils’ School Performance and Their Cognitive Abilities to Solve Problems’, Journal on Efficiency and Responsibility in Education and Science, vol. 17, no. 1, pp. 55–66. https://doi.org/10.7160/eriesj.2024.170105

Issue

Section

Research Paper