The nature of school mathematics in early childhood education
DOI:
https://doi.org/10.24197/edmain.1.2025.85-104Keywords:
School mathematics, Mathematical practices, Realistic mathematics, Systems of representations, Communication and lenguajeAbstract
In this article, we advocate for a mathematics approach in Early Childhood Education that respects the students' development and addresses mathematical work with rigor and depth. In this approach, learners are not merely users of mathematics but authentic builders of mathematical knowledge, who must: identify patterns; model reality mathematically; solve problems; be organized and systematic in the problem-solving process; communicate their arguments precisely using various systems of representation, including the rigorous use of language; and compare them with those of their peers. It is this mathematics that contributes to the holistic development of the students.
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Alsina, A., Berciano, A., Cañadas, M. y Muñoz-Catalán, M.C. (2024). Formación inicial del profesorado de Educación Infantil para la enseñanza de las matemáticas. Propuestas de la Sociedad Española de Investigación en Educación Matemática. Documento revisado y avalado por la SEIEM. https://www.seiem.es/docs/noticias/2024-10-11_NecesidadesFormativas/GradoInfantil.pdf
Biniés, P. (2008). Conversaciones matemáticas con Maria Antònia Canals. Graó.
Brownell, J. O. (2014). Big ideas of early mathematics: what teachers of young children need to know. Pearson.
Clements, D. H. (2004). Part 1: Major themes and recommendations. En D. H. Clements, J. Sarama y A.-M. DiBiase (Eds.), Engaging young children in Mathematics: Standards for early childhood mathematics education (pp. 7–76). Lawrence Erlbaum.
Clements, D. H. y Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. Routledge.
Council of Chief State School Officers (CCSSO). (2010). Common Core State Standards Initiative. Spanish version retrieved from https://www.sdcoe.net/common-core-espanol/ccss-en-espanol
Danielson, C. (2016). Which One Doesn't Belong? A Shapes Book, Teacher's Guide with Student Book. Routledge.
Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61(1–2), 103–131. https://doi.org/10.1007/s10649-006-0400-z
Flynn, M. (2017). Beyond Answers: Exploring Mathematical Practices with Young Children. Stenhouse Publishers.
Freudenthal, H. (1973). Mathematics as an Educational Task. Reidel.
Fuson, K. C. (2023, April 12). Building math talk for sense-making in the classroom [Webinar]. edWeb. https://home.edweb.net/webinar/math20230412/
Geist, E. (2009). Children are born mathematicians: Supporting Mathematical Development, Birth to Age 8. Pearson.
Greenes, C., Ginsburg, H. P. y Balfanz, R. (2004). Big Math for Little Kids. Early Childhood Research Quarterly, 19(1), 159–166. https://doi.org/10.1016/j.ecresq.2004.01.010
Joglar-Prieto, N., Domínguez, E., Murcia, J. Á., Méndez, M., Ramírez-García, M. y Cid, A. I. (2024). Which one doesn´t belong?: desarrollando competencias profesionales del futuro profesorado de infantil. En N. Adamuz-Povedano, E. Fernández-Ahumada, N. Climent y C. Jiménez-Gestal (Eds.), Investigación en Educación Matemática XXVII (p. 595). SEIEM.
Klein, F. (1914, 1945). Elementary mathematics from an advanced standpoint. Dover.
Kuntze, S., Dreher, A. y Friesen, M. (2015). Teachers’ resources in analysing mathematical content and classroom situations –The case of using multiple representations. En K. Krainer y N. Vondrová (Eds.), Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (p. 3213-3219). Charles University y ERME.
Lesh, R., Post, T. R. y Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. En C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 33-40). Lawrence Erlbaum.
NCTM (2000). Principles and Standards for School Mathematics. NCTM.
Omohundro, K. (2011). Math Exchanges: Guiding Young Mathematicians in Small Group Meetings. Stenhouse Publishers.
Santaló, L. A. (2003). La matemática: una filosofía y una técnica. Ariel.
Sierpinska, A. (1998). Three epistemologies, three views of communication: Constructivism, social cultural approaches, interactionism. En H. Steinbring, M. G. Bartonlini Bussi y A. Sierpinska (Eds.), Language and communication in the mathematics classroom (pp. 30–62). National Council of Teachers of Mathematics.
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