The Construction of Mathematical Meaning in Elementary School Students: Pestalozzi's Philosophical Perspective in the Modern Learning Era

Buyung Buyung

Abstract


This study aims to analyze the construction of mathematical meaning in elementary school students through the perspective of Johann Heinrich Pestalozzi's philosophy of education and its relevance to modern learning. This study is motivated by the tendency of elementary mathematics learning which is still dominated by procedural, symbolic, and memorization approaches, so that it does not provide space for concrete experiences and the process of building meaning. The research uses a qualitative method of literature study by analyzing Pestalozzi's primary work, cognitive development theory, contemporary mathematical pedagogical literature, and historical-philosophical research related to concrete learning. Data are analyzed through content analysis techniques and philosophical-hermeneutic interpretation to interpret Pestalozzi's basic principles and relate them to modern mathematical learning practices. The results of the study show that the principles of "head, heart, and hand", learning through observation, and the use of concrete objects provide a strong foundation for meaningful, gradual, and developmentally appropriate mathematics learning. The dominance of procedural learning is influenced by test-oriented curriculum, teachers' teaching habits, time pressure, and textbooks that emphasize algorithms. The synthesis of findings resulted in a Pestalozzian-Based Mathematics Learning framework that includes three elements: contextualization of experiences, manipulative-representational activities, and dialogue and reflection. This study concludes that Pestalozzi's thinking is very relevant for the renewal of elementary mathematics pedagogy, because it places concrete experiences, humanization of learning processes, and the construction of meaning as the core of modern mathematics education

Keywords


Mathematics; Pestalozzi; Primary school; Modern Learning

References


AFRINA, R., LINORA, L., WIDIASTUTI, W., ISMIRA, I., & MARTHA, A. (2024). Makna Pembelajaran Berdiferensiasi di Sekolah Dasar Menurut Pandangan Aliran Filsafat Johann Heinrich Pestalozzi. Indonesian Journal of Social Science Education (IJSSE), 6(1), 20-32.

Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407.

Baroody, A. J. (2017). The Use of Concrete Experiences in Early Childhood Mathematics Instruction. In J. Sarama, D. H. Clements, C. Germeroth & C. Day-Hess (Eds.), Advances in Child Development and Behavior (Vol. 53, hlm. 43–94). Academic Press. https://doi.org/10.1016/bs.acdb.2017.03.001.

Boaler, J. (2016). Mathematical mindsets: Unleashing students’ potential through creative math, inspiring messages and innovative teaching. Jossey-Bass.

Boiliu, N. I., & Samosir, C. M. (2019). Manusia sebagai makhluk moral dalam perspektif teologia pendidikan Johann Heinrich Pestalozzi. Jurnal Dinamika Pendidikan, 12(3), 187-197.

Bruner, J. S. (1966). Toward a theory of instruction. Harvard University Press.

Cai, J., Kaiser, G., & Perry, B. (Eds.). (2018). Compendium for early career researchers in mathematics education. Springer.

Carrillo-Gallego, D., Maurandi-López, A., & Olivares-Carrillo, P. (2023). From Pestalozzi’s intuition principle to classrooms: the counting frame and innovations in the teaching of mathematics (Spain, nineteenth century). Paedagogica Historica, 59(3), 407–427. https://doi.org/10.1080/00309230.2021.1906713.

Carter, S. A. (2018). Object Lessons: How Nineteenth-Century Americans Learned to Make Sense of the Material World. Cambridge University Press / relevant journal reviews.

Gazibara, S. (2013). Head, heart and hands learning — A challenge for contemporary education. Journal of Education Culture and Society, 1, 71–86.

Gravemeijer, K., & Terwel, J. (2000). Hans Freudenthal: A mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777–796. https://doi.org/10.1080/00220270050167170.

Herman, D. (2016). An introduction to humanistic education: Principles, practices, and perspectives. New York: Routledge.

Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). Information Age Publishing.

Manolitsis, G., Georgiou, G. K., & Tziraki, N. (2022). Developing mathematical problem-solving skills in primary school through a teaching intervention. Educational Research and Evaluation, 28(1-2).

Mauluah, L. (2023, October). Implementasi Filsafat Idealisme menurut Pestalozzi dalam Pembelajaran Matematika SD/MI. In Syekh Nurjati International Conference on Elementary Education (Vol. 1, pp. 55-64).

Méndez Reyes, J., & González-Rivera, P. (2025). Pestalozzi, Precursor of Modern Popular Pedagogy and the Active School. Educational Process: International Journal, 18, e2025460. https://doi.org/10.22521/edupij.2025.18.460.

Mesquida, P., Pereira, F. I., & Bernz, M. E. (2017). The Pestalozzi Method: Mathematics as a Way to the Truth. Creative Education, 8(7), 1088–1098. https://doi.org/10.4236/ce.2017.87078

Müller, D. (2025). The Ethical Turn in Mathematics Education. (Preprint). arXiv.

National Council of Teachers of Mathematics. (2014). Principles to Actions: Ensuring Mathematical Success for All. NCTM.

NCTM. (2014). Principles to actions: Ensuring mathematical success for all. National Council of Teachers of Mathematics.

Osawa, H. (2016). A Curriculum to Nurture Humanity: Focusing on Pestalozzi’s Life Education Theory. The Bulletin of Japanese Curriculum Research and Development, 39(3), 39–50. https://doi.org/10.18993/jcrdajp.39.3_39.

Padmakrisya, M. R., Aziz, T. A., & El Hakim, L. (2024). Literasi Matematika dan Konstruktivisme Sosial. AKSIOMA: Jurnal Matematika dan Pendidikan Matematika, 15(1)

Pestalozzi, J. H. (2010). How Gertrude teaches her children (L. E. McCormick, Trans.). Cambridge University Press. (Karya asli diterbitkan 1801)

Reys, R., Reys, B., Lapan, R., Holliday, G., & Wasman, D. (2007).

Using mathematics textbooks for assessing students’ opportunities to learn. ZDM – The International Journal on Mathematics Education, 35(3), 24–31.

Sadiran, S. (2022). PEMIKIRAN PESTALOZZI TENTANG PENDIDIKAN. Al-Mabsut: Jurnal Studi Islam dan Sosial, 16(2), 197-206.

Sarama, J., & Clements, D. H. (2009). “Concrete” Computer Manipulatives in Mathematics Education. Child Development Perspectives, 3(3), 145–150. https://doi.org/10.1111/j.1750-8606.2009.00095.x

Sedig, K. (2025). Concreteness and Abstraction in Mathematics Education. Educational Psychology Review. https://doi.org/10.1007/s10648-025-10073-9.

Soetard. (2017). The Pestalozzi Method: Mathematics as a Way to the Truth. SCIRP.

Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving education in the classroom. Free Press.

Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.

Wohl-Lynch, J., & McCabe, P. (2022). Supporting primary students’ mathematical reasoning practice. International Journal of Primary, Elementary and Early Years Education, 50(4), 425–440. https://doi.org/10.1080/14794802.2022.2062780.




DOI: http://dx.doi.org/10.26737/jerr.v7i2.8522

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Publisher:

Institute of Managing and Publishing of Scientific Journals STKIP Singkawang

Address : STKIP Singkawang, Jalan STKIP - Kelurahan Naram, Singkawang, Kalimantan Barat, INDONESIA, 79251
No. Telp.   : +62562 420 0344
No. Fax.    : +62562 420 0584

Journal of Educational Review and Research

e-ISSN : 2597-9760

p-ISSN : 2597-9752

Editor in Chief: [email protected][email protected] / Wa : +6285347441263

Publisher: [email protected] / [email protected] / Wa: +6282142072788

Management Tools

     

JERR IS INDEXED BY


Creative Commons License

Journal of Educational Review and Research is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.