The development of self-assessment accuracy in mathematical word problems: A study of primary school learners
Smetackova2025 (English)

Klíčová slova

self-assessment
learning
metacognition
self-regulation
primary school
mathematics

Jak citovat

Smetáčková, I., & Páchová, A. (2025). The development of self-assessment accuracy in mathematical word problems: A study of primary school learners. Scientia in Educatione, 16(2), 48–59. https://doi.org/10.14712/18047106.5068

Abstrakt

Self-assessment, as a critical component of self-regulated learning, plays a significant role in improving learning achievement. This study focuses on the accuracy of self-assessment in the context of mathematical word problems among primary school students. The evolution of self-assessment accuracy was examined between the second and third grades. The impact of cognitive abilities, mathematical knowledge, and teacher evaluations was investigated. Data were collected from a sample of 542 primary school pupils. Our findings reveal that students demonstrated greater accuracy in self-assessing their performance in mathematical word problems in Year 2 compared to Year 3. This self-assessment accuracy varied based on cognitive abilities and the pedagogical environments. These findings suggest the importance of creating adequate classroom conditions to enhance self-assessment accuracy.

https://doi.org/10.14712/18047106.5068
Smetackova2025 (English)

Reference

Andrade, H. L. (2019). A critical review of research on student self-assessment. Frontiers in Education, 4, 87. https://doi.org/10.3389/feduc.2019.00087

Andrade, H., & Valtcheva, A. (2009). Promoting learning and achievement through self-assessment. Theory into Practice, 48(1), 12–19. https://doi.org/10.1080/00405840802577544

Bakar, M. A. A., & Ismail, N. (2020). Metacognitive learning strategies in mathematics classroom intervention: A review of implementation and operational design aspect. International Electronic Journal of Mathematics Education, 15(1), em0555. https://doi.org/10.29333/iejme/5937

Bandura, A. (2014). Social-cognitive theory. In R. B. Ewen, An introduction to theories of personality (pp. 341–360). Psychology Press.

Barana, A., Boetti, G., & Marchisio, M. (2022). Self-assessment in the development of mathematical problem-solving skills. Education Sciences, 12(2), 81. https://doi.org/10.3390/educsci12020081

Black, P., Harrison, C., Lee, C., Marshall, B., & Wiliam, D. (2004). Research into practice: Formative assessment for learning. In E. F. Redish & M. Vicentini (Eds.), Research on Physics Education (pp. 91–102). IOS Press. https://doi.org/10.3254/978-1-61499-012-3-91

Bradshaw, B. K. (2001). Do pupils effectively monitor their comprehension? Reading Horizons: A Journal of Literacy and Language Arts, 41(3), 2. Retrieved from https://scholarworks.wmich.edu/reading horizons/vol41/iss3/2

Broadfoot, P. (2021). The sociology of assessment: Comparative and policy perspectives. The selected works of Patricia Broadfoot. Routledge. https://doi.org/10.4324/9780429262609

Brookhart, S.M., Andolina, M., Zuza, M., & Furman, R. (2004). Minute math: An action research study of student self-assessment. Educational Studies in Mathematics, 57(2), 213–227. https://doi.org/10.1023/B:EDUC.0000049293.55249.d4

Brown, G. T., Andrade, H. L., & Chen, F. (2015). Accuracy in student self-assessment: Directions and cautions for research. Assessment in Education: Principles, Policy & Practice, 22(4), 444–457. https://doi.org/10.1080/0969594X.2014.996523

Brown, G. T., & Harris, L. R. (2013). Student self-assessment. In J. H. McMillan (Ed.), Sage handbook of research on classroom assessment (pp. 367–393). Sage.

Brown, G., & Harris, L. R. (2014). The future of self-assessment in classroom practice: Reframing self-assessment as a core competency. Frontline Learning Research, 2(1), 22–30. https://doi.org/10.14786/flr.v2i1.24

Cera, R., Mancini, M., & Antonietti, A. (2013). Relationships between metacognition, self-efficacy and self-regulation in learning. Journal of Educational, Cultural and Psychological Studies (ECPS Journal), 4(7), 115–141. https://doi.org/10.7358/ecps-2013-007-cera

Chytrý, V., Říčan, J., & Živná, D. (2019). Matematická výkonnost a metakognice žáků základních škol běžných, základních škol Montessori a žáků vyučovaných podle Hejného metody. Studia paedagogica, 24(1), 107–133. https://doi.org/10.5817/SP2019-1-5

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum Associates.

De Bruin, A. B., & van Gog, T. (2012). Improving self-monitoring and self-regulation: From cognitive psychology to the classroom. Learning and Instruction, 22(4), 245–252. https://doi.org/10.1016/j.learninstruc.2012.01.003

Downing, S. M. (2006). Twelve steps for effective test development. In S. M. Downing & T. M. Haladyna (Eds.), Handbook of test development (pp. 3–25). Lawrence Erlbaum Associates Publishers.

Dunning, D., Heath, C., & Suls, J. M. (2004). Flawed self-assessment: Implications for health, education, and the workplace. Psychological Science in the Public Interest, 5(3), 69–106. https://doi.org/10.1111/j.1529-1006.2004.00018.x

Elder, A. D. (2010). Children’s self-assessment of their school work in elementary school. Education 3–13, 38(1), 5–11. https://doi.org/10.1080/03004270802602044

Georghiades, P. (2004). From the general to the situated: Three decades of metacognition. International Journal of Science Education, 26(3), 365–383. https://doi.org/10.1080/0950069032000119401

Harter, S. (2011). The development of self-representations. In M. R. Leary & J. P. Tangney (Eds.), Handbook of self and identity (2nd ed., pp. 229–245). Guilford Press.

Kajamies, A., Vauras, M., & Kinnunen, R. (2010). Instructing low-achievers in mathematical word problem solving. Scandinavian Journal of Educational Research, 54(4), 335–355. https://doi.org/10.1080/00313831.2010.493341

Klenowski, V. (1995). Student self-evaluation processes in student-centred teaching and learning contexts of Australia and England. Assessment in Education: Principles, Policy & Practice, 2(2), 145–163. https://doi.org/10.1080/0969594950020203

Kramarski, B., & Revach, T. (2009). The challenge of self-regulated learning in mathematics teachers’ professional training. Educational Studies in Mathematics, 72, 379–399. https://doi.org/10.1007/s10649-009-9204-2

Kruger, J., & Dunning, D. (1999). Unskilled and unaware of it: How difficulties in recognizing one’s own incompetence lead to inflated self-assessments. Journal of Personality and Social Psychology, 77(6), 1121–1134. https://doi.org/10.1037/0022-3514.77.6.1121

Li, Z., & Rubie-Davies, C. M. (2017). Teachers matter: Expectancy effects in Chinese university English-as-a-foreign-language classrooms. Studies in Higher Education, 42(11), 2042–2060. https://doi.org/10.1080/03075079.2015.1130692

Liu-Ambrose, T., Davis, J. C., Nagamatsu, L. S., Hsu, C. L., Katarynych, L. A., & Khan, K. M. (2010). Changes in executive functions and self-efficacy are independently associated with improved usual gait speed in older women. BMC geriatrics, 10(1), 25. https://doi.org/10.1186/1471-2318-10-25

Nicol, D. J., & Macfarlane-Dick, D. (2006). Formative assessment and self-regulated learning: A model and seven principles of good feedback practice. Studies in Higher Education, 31(2), 199–218. https://doi.org/10.1080/03075070600572090

Nováková, E. (2024). Metacognitive skills of pupils in primary mathematics education. Journal of Elementary Education, 17(2), 223–239. https://doi.org/10.18690/rei.3274

Orth, U., Dapp, L. C., Erol, R. Y., Krauss, S., & Luciano, E. C. (2021). Development of domain-specific self-evaluations: A meta-analysis of longitudinal studies. Journal of Personality and Social Psychology, 120(1), 145–172. https://doi.org/10.1037/pspp0000378

Panadero, E. (2017). A review of self-regulated learning: Six models and four directions for research. Frontiers in Psychology, 8, 422. https://doi.org/10.3389/fpsyg.2017.00422

Panadero, E., Jonsson, A., & Botella, J. (2017). Effects of self-assessment on self-regulated learning and self-efficacy: Four meta-analyses. Educational Research Review, 22, 74–98. https://doi.org/10.1016/j.edurev.2017.08.004

Pape, S. J., Bell, C. V., & Yetkin, I. E. (2003). Developing mathematical thinking and self-regulated learning: A teaching experiment in a seventh-grade mathematics classroom. Educational Studies in Mathematics, 53(3), 179–202. https://doi.org/10.1023/A:1026062121857

Perry, N. E., Phillips, L., & Hutchinson, L. (2006). Mentoring student teachers to support self-regulated learning. The Elementary School Journal, 106(3), 237–254. https://doi.org/10.1086/501485

Pintrich, P. (2000). The role of goal orientation in self-regulated learning. In M. Boekaerts, P. Pintrich, & M. Zeidner (Eds.), Handbook of self-regulation (pp. 452–502). Academic Press.

Rendl, M., Vondrová, N., Hřibková, L., Jirotková, D., Kloboučková, J., Kvasz, L., & Žalská, J. (2013). Kritická místa matematiky na základní škole očima učitelů [Critical places of primary mathematics in the eyes of teachers]. Univerzita Karlova v Praze, Pedagogická fakulta.

Ross, J. A. (2006). The reliability, validity, and utility of self-assessment. Practical Assessment, Research, and Evaluation, 11(1), 10. https://doi.org/10.7275/9wph-vv65

Ross, J. A., Hogaboam-Gray, A., & Rolheiser, C. (2002). Student self-evaluation in grade 5–6 mathematics: Effects on problem-solving achievement. Educational Assessment, 8(1), 43–59. https://doi.org/10.1207/S15326977EA0801 03

Šauerová Švamberk, M., & Smetáčková, I. (2022). Accuracy of pupils’self-assessment. EduPort, 6(2), 13–25. https://doi.org/10.21062/edp.2022.009

Schleppegrell, M. J. (2007). The linguistic challenges of mathematics teaching and learning: A research review. Reading & Writing Quarterly, 23(2), 139–159. https://doi.org/10.1080/10573560601158461

Schraw, G., Crippen, K. J., & Hartley, K. (2006). Promoting self-regulation in science education: Metacognition

as part of a broader perspective on learning. Research in Science Education, 36(1–2), 111–139. https://doi.org/10.1007/s11165-005-3917-8

Siegesmund, A. (2017). Using self-assessment to develop metacognition and self-regulated learners. FEMS Microbiology Letters, 364(11), fnx096. https://doi.org/10.1093/femsle/fnx096

Sitzmann, T., Ely, K., Brown, K. G., & Bauer, K. N. (2010). Self-assessment of knowledge: A cognitive learning or affective measure? Academy of Management Learning & Education, 9(2), 169–191. https://doi.org/10.5465/AMLE.2010.51428542

Taber, K. S. (2025). Mediated learning leading development: The social development theory of Lev Vygotsky. In B. Akpan & T. Kennedy (Eds.), Science education in theory and practice: An introductory guide to learning theory (2nd ed., pp. 275–292). Springer.

Tachie, S. A. (2019). Meta-cognitive skills and strategies application: How this helps learners in mathematics problem-solving. Eurasia Journal of Mathematics, Science and Technology Education, 15(5), em1702. https://doi.org/10.29333/ejmste/105364

Yan, Z. (2020). Self-assessment in the process of self-regulated learning and its relationship with academic achievement. Assessment & Evaluation in Higher Education, 45(2), 224–238. https://doi.org/10.1080/02602938.2019.1629390

Zelazo, P. D., & Carlson, S. M. (2012). Hot and cool executive function in childhood and adolescence: Development and plasticity. Child Development Perspectives, 6(4), 354–360. https://doi.org/10.1111/j.1750-8606.2012.00246.x

Zimmerman, B. J. (2000). Self-efficacy: An essential motive to learn. Contemporary Educational Psychology, 25(1), 82–91. https://doi.org/10.1006/ceps.1999.1016

Zimmerman, B. J., & Schunk, D. H. (2011). Self-regulated learning and performance: An introduction and an overview. In D. H. Schunk & B. Zimmerman (Eds.), Handbook of self-regulation of learning and performance (pp. 15–26). Routledge.

Autoři, kteří publikují v tomto časopise, souhlasí s následujícími body:
  1. Autoři si ponechávají copyright a garantují časopisu právo prvního publikování, přitom je práce zároveň licencována pod Creative Commons Attribution licencí, která umožňuje ostatním sdílet tuto práci s tím, že přiznají jejího autora a první publikování v tomto časopisu.
  2. Autoři mohou vstupovat do dalších samostatných smluvních dohod pro neexkluzivní šíření práce ve verzi, ve které byla publikována v časopise (například publikovat ji v knize), avšak s tím, že přiznají její první publikování v tomto časopisu.
  3. Autorům je dovoleno a doporučováno, aby zpřístupnili svou práci online (například na svých webových stránkách) před a v průběhu redakčního řízení jejich příspěvku, protože takový postup může vést k produktivním výměnám názorů a také dřívější a vyšší citovanosti publikované práce (Viz Efekt otevřeného přístupu).