Complex networks approach to curriculum analysis and subject integration: a case study on Physics and Mathematics

This paper presents a methodological approach based on the use of complex networks to analyze the structure and content of curricula. We analyze the concept network built from the final year of a particular high school Physics curriculum, as well as that of Mathematics. We examine the most central n...

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Detalles Bibliográficos
Autores: Tuzón, Paula, Salvà Salvà, Antoni, Fernández-Gracia, Juan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/423170
Acceso en línea:http://hdl.handle.net/10261/423170
http://arxiv.org/abs/2412.15929v4
Access Level:acceso abierto
Palabra clave:Community structure
Concepts & principles
Degree correlations
Educational policy
Network formation & growth
Network structure
Physics & society
Descripción
Sumario:This paper presents a methodological approach based on the use of complex networks to analyze the structure and content of curricula. We analyze the concept network built from the final year of a particular high school Physics curriculum, as well as that of Mathematics. We examine the most central nodes in each case, the community structures (coherent units or groupings), and the changes that occurred when the network was considered in isolation or integrated with Mathematics. The results show that the integrated Physics and Mathematics network has a higher average degree compared to the individual networks, driven by numerous interdisciplinary connections. The modularity analysis indicates similarities with the original curriculum layout, but also interesting differences that may suggest alternative ways of organizing the content. The differences between separated and integrated networks also highlights the prominence of certain key concepts.