### Stokes’ Theorem: A candidate threshold concept.

#### Abstract

An investigation into whether Stokes’ Theorem, a mathematical concept in the field of Vector Calculus, is a threshold concept was conducted. This concept is taught as part of a second year undergraduate course for physicists at the University of Bristol. The investigation has two phases; first a theoretical examination of some of the criteria of a threshold concept to see if Stokes’ theorem fits them, and then a student survey to analyse the applicability of the threshold concept label from the more subjective point of view of the learner. It was found that there is compelling evidence to support the case that Stokes’ Theorem is indeed a threshold concept, and a brief discussion is made to assess how this identification can inform teaching and learning methods.

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PDF#### References

Campbell, T. C. (2013). Vector Calculus for Engineers. The Academic Development Model CULMS Newsletter, 7.

Cousin, G. (2006). Overcoming Barriers to Student Understanding: threshold concepts and troublesome knowledge. London and New York: Routledge.

J. H. F. Meyer, R. L. (2003). In: Rust, C. (ed.), Improving Student Learning - Theory and Practice Ten Years On. Oxford: Oxford Centre for Staff and Learning Development (OCSLD).

J. H. F. Meyer, R. L. (2005). Threshold concepts and troublesome knowledge (2): epistemological considerations and a conceptual framework for teaching and learning. Higher, 3(49), 373-388.

J. H. F. Meyer, R. L. (2010). Editors’ Preface: Threshold Concepts and Transformational Learning, in: Threshold Concepts and Transformational Learning.

M. Holloway, E. A. (2010). A Quantitative Approach to Identifying Threshold Concepts in Engineering Education, Engineering Education 2010: Inspiring the next generation of engineers. Aston University.

O’Shea, S. B. (2016). Threshold Concepts and Undergraduate Mathematics Teaching. PRIMUS, Problems, Resources, and Issues in Mathematics Undergraduate Studies, 26(9).

Worsley, M. B. (n.d.). Threshold concepts and troublesome knowledge in a second-level mathematics course. UniServe Science Proceedings Visualisation Symposium Presentation, (p. 139).

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