The Nature and Role of Mathematical Connections in the Teaching and Learning of Mathematics

Authors

DOI:

https://doi.org/10.35763/aiem25.6777

Keywords:

Mathematical connections, Ethnomathematical connections, Ontosemiotic approach

Abstract

Research on learning and teaching mathematics has highlighted the importance of connections in this process. A global look at the articles in this monograph shows that research on mathematical connections is an increasingly relevant topic for Mathematics Education and, also, that its theoretical references are becoming more developed.

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References

Businskas, A. M. (2008). Conversations about connections: How secondary mathematics teachers conceptualize and contend with mathematical connections (Unpublished PhD dissertation). Simon Fraser University.

Coxford, A. F. (1995). The case for connections. In P. A. House & A. F. Coxford (Eds.), Connecting mathematics across the curriculum (pp. 3-12). National Council of Teachers of Mathematics.

Eli, J. A., Mohr-Schroeder, M. J., & Lee, C. W. (2011). Exploring mathematical connections of prospective middle-grades teachers through card-sorting tasks. Mathematics Education Research Journal, 23(3), 297-319. https://doi.org/10.1007/s13394-011-0017-0

Evitts, T. (2004). Investigating the mathematical connections that preservice teachers use and develop while solving problems from reform curricula (Unpublished PhD dissertation). Pennsylvania State University College of Education.

García-García, J., & & Dolores-Flores, C. (2020). Exploring pre-university students’ mathematical connections when solving calculus application problems. International Journal of Mathematical Education in Science and Technology, 52(6), 912-936. https://doi.org/10.1080/0020739X.2020.1729429

García-García, J., & Dolores-Flores, C. (2021). Pre-university students’ mathematical connections when sketching the graph of derivative and antiderivative functions. Mathematics Education Research Journal, 33(1), 1-22. https://doi.org/10.1007/s13394-019-00286-x

Godino, J. D., Batanero, C., & Font, V. (2007). The onto-semiotic approach to research in mathematics education. ZDM-The International Journal on Mathematics Education, 39(1-2), 127-135. https://doi.org/10.1007/s11858-006-0004-1

Hiebert, J., & Carpenter, T. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research of mathematics teaching and learning (pp. 65-79). Macmillan.

Ledezma, C., Font, V., & Sala, G. (2023). Analysing the mathematical activity in a modelling process from the cognitive and onto-semiotic perspectives. Mathematics Education Research Journal, 35(4), 715-741. https://doi.org/10.1007/s13394-022-00411-3

National Council of Teachers of Mathematics [NCTM] (2000). Principles and standards for school mathematics. Autor.

Rodríguez-Nieto, C. A., Cabrales, H. A., Arenas-Peñaloza, J., Schnorr, V., & Font, V. (2024). Onto-semiotic analysis of Colombian engineering students’ mathematical connections to problems-solving on vectors: A contribution to the natural and exact sciences. EURASIA Journal of Mathematics, Science and Technology Education, 20(5), 2-24. https://doi.org/10.29333/ejmste/14450

Rodríguez-Nieto, C. A., Font, V., Borji, V., & Rodríguez-Vásquez, F. M. (2022). Mathematical connections from a networking theory between extended theory of mathematical connections and onto-semiotic approach. International Journal of Mathematical Education in Science and Technology, 53(9), 2364-2390. https://doi.org/10.1080/0020739X.2021.1875071

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Published

2024-04-30

How to Cite

Font Moll, V., & Rodríguez-Nieto, C. A. (2024). The Nature and Role of Mathematical Connections in the Teaching and Learning of Mathematics. Advances of Research in Mathematics Education, (25), 1–7. https://doi.org/10.35763/aiem25.6777

Issue

No. 25 (2024): The Nature and Role of Mathematical Connections in the Teaching and Learning of Mathematics

Section

Editorial

License

Copyright (c) 2024 Vicenç Font Moll, Camilo Andrés Rodríguez-Nieto

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