Shape of Educational Data: Interdisciplinary Perspectives

Colleen M. Ganley
Sara A. Hart


This paper is a guest editorial for a special section that forms the proceedings of the Shape of Educational Data meeting. This special section features papers that apply methods from multiple fields — including mathematics, computer science, educational psychology, and learning analytics — to describe and predict student learning in online platforms. The special section is organized such that the first set of articles discusses different online learning systems (WEPS, WeBWorK, and inVideo) and data that can be analyzed from these systems. The second set of articles involves descriptions of topological data analyses that can be helpful to researchers in learning analytics and educational psychology to better model student learning in online courses. The third set of articles uses data obtained from online systems to study factors related to student learning. Due to these multiple approaches, we can gain insight into the types of data available, the ways in which we can measure particular constructs related to learning using these data, and the ways we can analyze these data, including statistical approaches and visualizations.


topology, geometry, learning analytics, educational psychology, data visualization

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Carlsson, G. (2009). Topology and data. Bulletin (New Series) of the American Mathematical Society, 46(2), 255-308.

Carlsson, G. (2012a). The Shape of data. In F. Cucker, T. Krick, A. Pinkus, & A. Szanto (Eds.), Foundations of Computational Mathematics, Budapest 2011. London Mathematical Society.

Carlsson, G. (2012b). Shape of data. Retrieved from

Edelsbrunner, H., & Harer, J. (2010). Computational topology: An introduction. American Mathematical Society.

Lum, P. Y., Singh, G., Lehman, A., Ishkanov, T., Vejdemo-Johansson, M., Alagappan, M., ... & Carlsson, G. (2013). Extracting insights from the shape of complex data using topology. Scientific Reports, 3, 1236. doi:10.1038/srep01236.

Seppälä, M. (2013). Riemann surfaces, quadratic differentials, and MOOCS. Retrieved from

Seppälä, M. (2014). World Education Portals (WEPS). (formerly



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