Assessment of Secondary School Students’ Transversal Skills in Optimal and Highest-Level Mathematics

Autor

  • Baiba Kaļķe Faculty of Educational Sciences and Psychology, University of Latvia, Imantas 7. līnija - 1, LV -1083, Latvia
  • Līga Āboltiņa Faculty of Educational Sciences and Psychology, University of Latvia, Imantas 7. līnija - 1, LV -1083, Latvia
  • Gatis Lāma Faculty of Educational Sciences and Psychology, University of Latvia, Imantas 7. līnija - 1, LV -1083, Latvia

DOI:

https://doi.org/10.15503/jecs2025.2.909.923

Słowa kluczowe:

transversal skills, secondary school, school mathematics, optimal level, highest level

Abstrakt

Aim. The aim of this study is to assess secondary school students’ transversal skills in mathematics at the optimal and highest level to determine whether education reforms have been implemented successfully.

Methods. In total 512 students from grades 11 and 12 participated in the research. Data was gathered by survey. Students transversal skill assessments from optimal and highest level was compared. The data was analysed with descriptive statistics to summarise and describe collected data (Vetter, 2016). Correlation between each transversal skill was made and Mann–Whitney U tests were conducted to determine whether there is a statistically significant difference between the self-assessments of students learning at the optimal and highest levels.

Results. The analysis shows that students have adequate transversal skills. However, students self-directed learning skills and civic skills are evaluated lower compared to other transversal skills. Students who learn mathematics at the highest level have assessed their transversal skills higher compared to students who learn mathematics at optimal level.

Conclusions. Even though results indicate that students have well developed critical thinking and problem-solving skills, digital skills and collaboration skills, there are some gaps in students’ transversal skills such as self-directed learning and civic participation. Transversal skills more connected to mathematical content or learning methods that promote subject learning are better developed, while other transversal skills that were not included in the previous curriculum should be promoted. This indicates that the recently implemented education reform has not yet been fully implemented into practice.

Pobrania

Statystyki pobrań niedostępne.

Biogramy autorów

  • Baiba Kaļķe - Faculty of Educational Sciences and Psychology, University of Latvia, Imantas 7. līnija - 1, LV -1083, Latvia

    Associate Professor at the Faculty of Educational Sciences and Psychology and researcher at the Scientific Institute of Pedagogy, University of Latvia. She is a Latvian language and literature teacher at Baldone Secondary School. As an expert she has participated in various projects related to the teaching-learning process. Academic interests: autobiographical approach in the history of education, the image of teachers, and the teaching-learning process, especially transversal skills. She is an expert of the Latvian Council of Science.

  • Līga Āboltiņa - Faculty of Educational Sciences and Psychology, University of Latvia, Imantas 7. līnija - 1, LV -1083, Latvia

    Doctor of Pedagogy, assistant professor at the Faculty of Educational Sciences and Psychology, University of Latvia.  Author of scientific publications on children's social adaptation in pre-school and school, self-directed activity, language learning, teacher's professional competence, etc. As an expert she has participated in various projects related to the pre-school learning process and pre-school education issues. Expert of the National Centre for Education, scientific reviewer of teaching materials.

  • Gatis Lāma - Faculty of Educational Sciences and Psychology, University of Latvia, Imantas 7. līnija - 1, LV -1083, Latvia

    Researcher at the Faculty of Educational Sciences and Psychology, University of Latvia and an expert of the Latvian Council of Science. Academic interests: civic, entrepreneurship and other transversal competences, secondary school mathematics. 

Bibliografia

Akoglu, H. (2018). User’s guide to correlation coefficients. Turkish Journal of Emergency Medicine, 18(3), 91–93. https://doi.org/10.1016/j.tjem.2018.08.001

Brannon, D. (2016). Comparing the Effectiveness of In-person and Videobased Dialogic Reading Training. The Online Journal of New Horizons in Education, 6(2), 7-11

European Commission. (2021). ESCO handbook: European skills, competences, qualifications and occupations. Publications Office of the European Union. https://doi.org/10.2767/934956

European Commission. (2019). Key competences for lifelong learning. Publications Office of the European Union. https://doi.org/10.2766/569540

European Commission, Directorate-General for Employment, Social Affairs and Inclusion. (2024). Transversal skills. Publications Office of the European Union. https://data.europa.eu/doi/10.2767/06401

Friedlander, A., & Arcavi, A. (2017). Tasks and competencies in the teaching and learning of algebra. National Council of Teachers of Mathematics.

Guilland, A. (2016). Development of assessment of transversal skills in European collaboration: Differences in teaching and learning environments. INTED2016 Proceedings, 5436–5443. https://doi.org/10.21125/inted.2016.0299

Helmane, I., Vigule, V. (2023). Transversal Skills in the Mathematics Education Curriculum in Pre-School: Experience of Latvia. In L. Daniela (Ed.), Human, Technologies and Quality of Education, 2023. (pp. 309-321). https://doi.org/10.22364/htqe.2023.24

Holmes, V., L., & Hwang, Y. (2016). Exploring the effects of project-based learning in secondary mathematics education. The Journal of Educational Research, 109(5), 449–463.

Jussila, J., Räty, M., & Siintoharju, S. M. (2023). Developing students’ transversal skills: A case study of an international product development project. CERN Idea Square Journal of Experimental Innovation, 7(3). https://doi.org/10.23726/cij.2023.1474

Karapetjana, I., Roziņa, G., Henkuzena, I., Zaura, E., Ribeiro, S., & Sarmento, C. (2017). Transversal skills in the world of work: Applied linguistics’ approach. Baltic Journal of English Language, Literature and Culture, 7, 87–105. https://doi.org/10.22364/BJELLC.07.2017.06

Lāma, G. (2022). Evaluation and students’ self-assessment of transversal skills in secondary school mathematics: Case study in Latvia. In N. Vronska (Ed.), Proceedings of the 15th International Scientific Conference “Rural Environment. Education. Personality” (REEP). (pp. 90-97). https://doi.org/10.22616/REEP.2022.15.011

Lāma, G. (2023). Secondary-school student transversal skills in mathematics: Comparison between teacher assessment and student self-assessment. In L. Daniela (Ed.), To Be or Not to Be a Great Educator, 2022. Proceedings of ATEE Annual Conference. (pp. 684–695). https://doi.org/10.22364/atee.2022.46

Lāma, G. (2020). Case study: Transversal skills in secondary school mathematics. In V.Dislere (Ed.), In Proceedings of the 13th International Scientific Conference “Rural Environment. Education. Personality” (REEP), (pp. 93–100). https://doi.org/10.22616/REEP.2020.011

Latvian Open Data Portal (2023). Izglītojamo skaits uz 01.10.2023. [Number of students on01.10.2023]. https://data.gov.lv/dati/lv/dataset/izglitojamo-skaits-sadalijuma-pa-visparejas-izglitibas-programmam/resource/8172d403-4090-474e-991e-286dfc9a803d?view_id=1fc963cb-17a8-4ae7-bf0d-7a7491d8392c

Latvijas Nacionālais attīstības plāns 2021.-2027. gadam [The National Development Plan of Latvia 2021–2027]. (2020). Pārresoru koordinācijas centrs. https://docs.google.com/document/d/1gDRHZOzl-wTTqCs4SSS-z7pweK4M1IF3fpxyV2oRpx4/edit

Lavrinoviča, B. (2021).Transdisciplinary Learning: From TransversalSkills to Sustainable Development. Acta Paedagogica Vilnensia, 47, 93-107. https://doi.org/10.15388/ActPaed.2021.47.7

Larraz, N., Vázquez, S., & Liesa, M. (2017). Transversal skills development through cooperative learning: Training teachers for the future. On the Horizon, 25(2), 85–95.

Lopez, I. C., & Rodriguez-Lopez, B. (2020). The relevance of transversal competences in vocational education and training: A bibliometric analysis. Empirical Research in Vocational Education and Training, 12, 12. https://doi.org/10.1186/s40461-020-00100-0

Making all skills visible: Tools and methods for assessing transversal skills. (2023). [Podcast]. Nordic Network for Adult Learning (NVL). https://nvl.org/Content/Making-all-skills-visible-Tools-and-methods-for-assessing-transversal-skills

Ministru kabinets. (2019). Noteikumi par valsts vispārējās vidējās izglītības standartu un vispārējās vidējās izglītības programmu paraugiem. Ministru kabineta noteikumi Nr. 41 [Regulations on national general secondary education standards and general secondary education program samples. Regulations of the Cabinet of Ministers No.41]. https://likumi.lv/doc.php?id=304266

Maunsell, P. (2023). Principles of best practice for the integration of transversal skills in the curricula of further and higher education programmes. https://hdl.handle.net/20.500.14036/94

Sánchez Quinto, S., & Vives Abril, T. (2022). Role playing for developing transversal skills. UPF. https://upf.edu/role-playing-for-developing-transversal-skills

Schoenfeld, A. H. (2014). Mathematical problem solving. Academic Press

Skola 2030. (2019a). Pilnveides principi [Principles of improvement]. https://www.skola2030.lv/lv/macibu-saturs/macibu-satura-pilnveide/pilnveides-principi

Skola 2030. (2019b). Caurviju prasmes [Transversal skills]. https://www.skola2030.lv/lv/macibu-saturs/macibu-satura-pilnveide/caurviju-prasmes

Putri, R. S., Hendri, M., & Rasmi, D. P. (2023). The analysis of implementing STEM-based LKPD to enhance students’ collaboration skills in school. Jurnal Pendidikan Fisika Dan Teknologi (Online), 9(1), 109-114. https://doi.org/10.29303/jpft.v9i1.4825

Rehman, N., Zhang, W., Mahmood, A., & Alam, F. (2021). Teaching physics with interactive computer simulation at secondary level. Cadernos de Educação, Tecnologia e Sociedade, 14(1), 127–141.

Reynolds, K., O’Leary, M., Brown, M., & Costello, E. (2020). Digital formative assessment of transversal skills in STEM: A review of underlying principles and best practice (ATS STEM Report #3). http://dx.doi.org/10.5281/zenodo.3673365

Taber, K. S. (2018). The use of Cronbach’s alpha when developing and reporting research instruments in science education. Research in Science Education, 48, 1273–1296. https://doi.org/10.1007/s11165-016-9602-2

Tam, A., & Trzmiel, B. (2018). Transversal skills as a missing link between school and work: Experiences from the Asia-Pacific region. In M. Pavlova, J. K. Lee, & R. Maclean (Eds.), Transitions to post-school life: Responsiveness to individual, social and economic needs (pp. 35–49). Springer. https://doi.org/10.1007/978-981-10-6476-0_3

Terol Pastor Jr, M. (2020). Getting better-skilled future professionals by teaching transversal skills. Theseus. https://theseus.fi/handle/10024/263425

Vetter, T. (2017).Descriptive Statistics: Reporting the Answers to the 5 Basic Questions of Who, What, Why, When, Where, and a Sixth, So What? Anesthesia & Analgesia 125(5), 1797-1802

Villarejo Muñoz, L. (2022). Virtual reality environments for developing transversal skills. UPF. https://upf.edu/virtual-reality-environments-for-developing-transversal-skills

Opublikowane

2025-06-27

Numer

Dział

LOCAL CULTURES AND SOCIETIES

Jak cytować

Kaļķe, B., Āboltiņa, L., & Lāma, G. . (2025). Assessment of Secondary School Students’ Transversal Skills in Optimal and Highest-Level Mathematics. Journal of Education Culture and Society, 16(1), 909-923. https://doi.org/10.15503/jecs2025.2.909.923