ARC funded projects

Discovery and Linkage Grants within the School of Education

Enabling Students’ Critical Mathematical Thinking (DP220101015)

Investigators: Prof Vincent Geiger (ACU), Professor Kim Beswick (UNSW), Associate Professor Jill Fielding (UNE), Dr Thorsten Scheiner (ACU), Prof Dr Gabriele Kaiser (ACU), Prof Merrilyn Goos (USC)

Years: 2022-2025

Project Summary:

The capacity to use mathematics critically is essential for making prudent decisions and forming balanced judgements about economic, health, environmental and other challenges facing society. Developing Critical Mathematical Thinking (CMT) in the classroom provides students with the necessary skills to address complex real-world problems. Fostering CMT, however, is difficult and teaching practices around its development are under-researched and under-theorised. This study aims to generate new insight into teaching practices that can promote or inhibit students' CMT development. To address this aim, we use an innovative video-based methodology that integrates researcher and teacher perspectives on students' CMT development.

Associated Research Outputs:

Geiger, V., Beswick, K., Fielding, J., Scheiner, T., Kaiser, G., Goos, M., & Fernandez, K.  (2024). Capturing snapshots of teachers’ critical mathematical thinking noticing capabilities in the context of mathematical modelling tasks. Fifteenth International Congress of Mathematics Education – Come and be counted. Sydney, Australia, 7-14 July 2024.

Geiger, V., Beswick, K., Fielding, J., Scheiner, T., Kaiser, G., Goos, M., & Fernandez, K. (2023). Investigating critical mathematical thinking when applying mathematics to real-world problems. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, & E. Kónya (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (pp. 1177–1184). Alfréd Rényi Institute of Mathematics and ERME.


Past ARC Projects