READJUSTING FOR DIGITAL TRANSFORMATION: A PRIMARY MATHEMATICS FRAMEWORK
DOI:
https://doi.org/10.17770/etr2025vol3.8554Keywords:
Blended learning, digital transformation, mathematics education, primary educationAbstract
The increasing digitalization of education necessitates reconsidering primary mathematics instruction. This study explores the integration of blended learning in Latvian primary mathematics classrooms, addressing the evolving roles of students, teachers, and curricula in the digital age. Using a mixed-methods approach, we analyzed 60 mathematics lessons from 2022 to 2024 to assess student learning opportunities for blended learning. The findings indicate that while digital technologies are present, their pedagogical use remains limited. No observed lessons fully implemented blended learning, though some teaching profiles demonstrated elements of self-regulated and deep learning. Based on these findings and a review of the literature, we propose a conceptual framework for content and process integration for mathematics teaching in the digital age. The framework emphasizes the significant role of the digital dimension complementing the traditional didactic triangle of learner, teacher, and curriculum. This highlights and influences how we view self-regulation, communication, motivation, and process-content integration. Our study highlights the need for curricular adjustments and targeted professional development to better align teaching practices with the realities of digital transformation, ensuring students develop the necessary competencies for the future.
References
C. Hague, “Fostering higher-order thinking skills online in higher education,” Feb. 2024. doi: 10.1787/84f7756a-en.
Future of Jobs Report, World Economic Forum, 2025. [Online]. Available: www.weforum.org. [Accessed: Feb. 23, 2025].
Y. Shimizu and R. Vithal, “School Mathematics Curriculum Reforms: Widespread Practice But Under-Researched in Mathematics Education,” in Mathematics Curriculum Reforms Around the World, New ICMI Study Series, , Y. Shimizu and R. Vithal, Eds., 2023, pp. 3–21. doi: 10.1007/978-3-031-13548-4_1.
S. Rezat and V. Geiger, “The Role of Digital Technologies in Transforming Student Learning Landscapes,” in Handbook of Digital Resources in Mathematics Education, B. Pepin, G. Gueudet, and J. Choppin, Eds., Springer, Cham, 2024, pp. 1–22. doi: 10.1007/978-3-030-95060-6_21-1.
E. Ann Rose and M. R. Thomas, “Generation Alpha and Learning Ecosystems,” in Preparing Students for the Future Educational Paradigm, IGI GLOBAL, 2024, pp. 19–46. doi: 10.4018/979-8-3693-1536-1.CH002.
An Evolution of Mathematics Curriculum: Where It Was, Where It Stands and Where It Is Going, OECD, 2024. doi: 10.1787/0ffd89d0-en.
D. N. Mawardi, C. A. Budiningsih, and Sugiman, “Blended Learning Effect on Mathematical Skills: A Meta-Analysis Study,” Ingenierie des Systemes d’Information, vol. 28, no. 1, pp. 197–204, Feb. 2023, doi: 10.18280/isi.280122.
I. V. S. Mullis, M. O. Martin, S. Goh, and K. Cotter, “TIMSS 2015 Encyclopedia: Education Policy and Curriculum in Mathematics and Science,” 2016.
Mathematics Syllabus: Primary One to Six, Ministry of Education, Singapore, 2012. [Online]. Available: https://www.moe.gov.sg/-/media/files/primary/mathematics_syllabus_primary_1_to_6.pdf. [Accessed: Feb. 23, 2025].
M. Vasuki, C. Mbonigaba, and K. Dinesh, “Curriculum Design in Mathematics: A Review of Effective Frameworks and Models,” Journal of Engineering, Scientific Research and Applications, vol. 2, no. 2, pp. 207–222, 2016.
Organisation for Economic Co-operation and Development, PISA 2022 Assessment and Analytical Framework. OECD, 2023. doi: 10.1787/dfe0bf9c-en.
K. Greitāns, Ģ. Burgmanis, and D. Namsone, “Towards Digital Transformation in Primary Science: Typology of Blended Learning Models,” CSEDU, to be published, 2025.
M. O. Yurdal and Ç. Toraman, “Self-Directed Learning, Academic Achievement and Motivation: A Meta-Analytical Study,” Alberta Journal of Educational Research, vol. 69, no. 2, pp. 233–253, Jun. 2023, doi: 10.55016/OJS/AJER.V69I2.75098.
Z. Xu, Y. Zhao, B. Zhang, J. Liew, and A. Kogut, “A meta-analysis of the efficacy of self-regulated learning interventions on academic achievement in online and blended environments in K-12 and higher education,” Behaviour and Information Technology, vol. 42, no. 16, pp. 2911–2931, 2023, doi: 10.1080/0144929X.2022.2151935.
K. Saks and Ä. Leijen, “Distinguishing Self-directed and Self-regulated Learning and Measuring them in the E-learning Context,” Procedia Soc Behav Sci, vol. 112, pp. 190–198, Feb. 2014, doi: 10.1016/j.sbspro.2014.01.1155.
A. Voskamp, E. Kuiper, and M. Volman, “Teaching practices for self-directed and self-regulated learning: case studies in Dutch innovative secondary schools,” Educ Stud, vol. 48, no. 6, pp. 772–789, 2022, doi: 10.1080/03055698.2020.1814699.
M. Boekaerts, “Emotions, emotion regulation, and self-regulation of learning,” in Handbook of self-regulation of learning and performance, B. Zimmerman and D. Schunk, Eds., Routledge/Taylor & Francis Group, 2011, pp. 408–425.
B. J. Zimmerman, “Becoming a self-regulated learner: An overview,” 2002, Ohio State University Press. doi: 10.1207/s15430421tip4102_2.
J. A. Van De Walle, K. S. Karp, J. M. Bay-Williams, J. Wray, and E. T. Brown, “Elementary and Middle School Mathematics Teaching Developmentally.”
E. R. Fyfe, C. Byers, and L. J. Nelson, “The Benefits of a Metacognitive Lesson on Children’s Understanding of Mathematical Equivalence, Arithmetic, and Place Value,” J Educ Psychol, vol. 114, no. 6, pp. 1292–1306, 2022, doi: 10.1037/edu0000715.
Metacognition and Self-Regulated Learning: Guidance Report, Education Endowment Foundation, 2nd ed. [Online]. Available: https://educationendowmentfoundation.org.uk/education-evidence/guidance-reports/metacognition. [Accessed: Mar. 30, 2025].
B. De Jager, M. Jansen, and G. Reezigt, “The development of metacognition in primary school learning environments,” School Effectiveness and School Improvement, vol. 16, no. 2, pp. 179–196, Jun. 2005, doi: 10.1080/09243450500114181.
A. Dardiri and D. Siswoyo, “The effect of blended learning model with metacognitive strategy on mathematics ability and self-regulated learning of elementary school students,” Journal of Positive Psychology and Wellbeing. [Online]. Available: http://journalppw.com.
N. Rohid and R. Danu Rusmawati, “Students’ Mathematical Communication Skills (MCS) in Solving Mathematics Problems: A Case in Indonesian Context,” Anatolian Journal of Education, vol. 4, no. 2, pp. 19–30, 2019, doi: 10.29333/aje.2019.423a.
C. Tobey, The Role of Discourse in Inclusive and Equitable Mathematics Learning and Teaching [Online]. Available: https://www.mheducation.com/unitas/school/explore/sites/reveal-math/tobey-discourse-inclusive-equitable-math-white-paper.pdf. [Accessed: Feb. 23, 2025].
I. Čakāne, D. Namsone, and I. France, “How students are learning to reason in mathematics lessons,” Society. Integration. Education. Proceedings of the International Scientific Conference, vol. 1, pp. 541–552, Jul. 2023, doi: 10.17770/SIE2023VOL1.7087.
S. H. Chapin, M. C. O’Connor, and N. C. Anderson, Classroom Discussions: Using Math Talk to Help Students Learn, Grades K-6. Math Solutions, 2009.
J. A. Walsch and D. B. Sattes, Quality Questioning: Research-Based Practice to Engage Every Learner. Corwin Press, 2016.
B. Mainali, “Representation in Teaching and Learning Mathematics,” International Journal of Education in Mathematics, Science and Technology, vol. 9, no. 1, pp. 1–21, 2021, doi: 10.46328/ijemst.1111.
D. Huinker and V. Bill, Taking Action: Implementing Effective Mathematics Teaching Practices in K-Grade 5. National Council of Teachers of Mathematics, 2017.
P. N. Tripathi, “Developing mathematical understanding through multiple representations,” Mathematics Teaching in the Middle School, 2008.
R. Lesh, T. R. Post, and M. Behr, “Representations and translations among representations in mathematics learning and problem solving,” in Problems of Representation in the Teaching and Learning of Mathematic, C. Janvier, Ed., Lawrence Erlbaum Associates, 1987, pp. 33–40.
E. L. Johnson, “A New Look at the Representations for Mathematical Concepts: Expanding on Lesh’s Model of Representations of Mathematical Concepts.,” Forum on Public Policy Online, vol. 2018, no. 1, 2018.
I. Čakāne and I. France, “An Empirical Study on the Use and Transitions of Representations in Primary Math Lessons,” Human, Technologies and Quality of Education, 2024, pp. 269–280, Nov. 2024, doi: 10.22364/HTQE.2024.21.
D. J. Stipek, K. B. Givvin, J. M. Salmon, and V. L. MacGyvers, “Teachers’ beliefs and practices related to mathematics instruction,” Teach Teach Educ, vol. 17, no. 2, pp. 213–226, Feb. 2001, doi: 10.1016/S0742-051X(00)00052-4.
D. J. Stipek, K. B. Givvin, D. J. Stipek, J. M. Salmon, and V. L. Macgyvers, “In the eyes of the beholder: students’ and teachers’ judgments of students’ motivation,” 2001.
D. J. Stipek, K. B. Givvin, J. M. Salmon, and V. L. MacGyvers, “Teachers’ beliefs and practices related to mathematics instruction,” Teach Teach Educ, vol. 17, no. 2, pp. 213–226, Feb. 2001, doi: 10.1016/S0742-051X(00)00052-4.
D. J. Stipek, K. B. Givvin, J. M. Salmon, and V. L. MacGyvers, “Teachers’ beliefs and practices related to mathematics instruction,” Teach Teach Educ, vol. 17, no. 2, pp. 213–226, Feb. 2001, doi: 10.1016/S0742-051X(00)00052-4.
D. Bērtule, I. Dudareva, D. Namsone, L. Čakāne, and A. Butkevica, “FRAMEWORK OF TEACHER PERFORMANCE ASSESSMENT TO SUPPORT TEACHING 21ST CENTURY SKILLS,” 13th International Technology, Education and Development Conference, 2019. doi: 10.21125/inted.2019.1410.
P. F. Halpin and M. J. Kieffer, “Describing Profiles of Instructional Practice: A New Approach to Analyzing Classroom Observation Data,” Educational Researcher, vol. 44, no. 5, pp. 263–277, Jun. 2015, doi: 10.3102/0013189X15590804.
I. Čakāne, K. Greitāns, Ģ. Burgmanis, and D. Namsone, “Towards Blended Learning in Primary STEM in Latvia: Four Teach-ing Profiles,” Educ Sci (Basel), to be published, 2025.
J. Golding, “Coherence and Relevance of Materials and Technologies to Support Mathematics Curriculum Reforms,” in Mathematics Curriculum Reforms Around the World, Y. Shimizu and R. Vithal, Eds., Springer, Cham, 2023, pp. 173–191. doi: 10.1007/978-3-031-13548-4_12.
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Copyright (c) 2025 Ildze Čakāne, Ilze France, Astrida Cirulis
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