I am a lecturer in the department of Applied Mathematics in the chair of Applied Analysis. My teaching focus is on first-year courses, typically calculus and linear algebra. My research interests are in the field of mathematics education and engineering education. I run the Mathematics Education Reading Group in my department.
I taught and carried out research at the University of Cape Town 1998-2017 (mostly in the engineering academic development programme ASPECT) and joined the University of Twente in 2018.
From August 2021 to June 2023 I am an EEMCS Teaching and Learning Fellow. In this role, supported by 4TU-CEE, I take part in challenge-based educational initiatives.
Craig, T.S. (2017). Challenging assumptions of notational transparency: the case of vectors in engineering mathematics. International Journal of Mathematics Education in Science and Technology, 48(sup1), S50-S66.
Craig, T.S. (2017). Enabling capabilities in an Engineering extended curriculum programme. In R. Kapp & B. Bangeni (Eds.) Negotiating Learning and Identity in Higher Education: Access, Persistence and Retention (pp. 133-154). Bloomsbury Press
Craig, T.S. (2016). The role of expository writing in mathematical problem solving. African Journal of Research in Mathematics, Science and Technology Education, 20(1), 57-66.
Craig, T.S., Cloete, T.J. (2015). Simple rule, hidden meaning: the scalar product in engineering mathematics. Proceedings of the Tenth Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics (Elephant Delta), Port Elizabeth, 22-27 November 2015,18-42.
Morgan, C., Craig, T.S., Schütte, M. and Wagner, D. (2014). Language and communication in mathematics education: an overview of research in the field. ZDM: The International Journal on Mathematics Education 46(6), 843-853.
Craig, T.S. (2013). Conceptions of mathematics and student identity: implications for engineering education, International Journal of Mathematics Education in Science and Technology 44(7), 1020-1029.
Dunne, T., Long, C., Craig, T.S., Venter, E.J. (2012). Meeting the requirements of both classroom-based and systemic assessment: The potential of Rasch measurement theory. Pythagoras 33(3), Art.#19, 16 pages. http://dx.doi.org/10.4102/pythagorasv33i3.19 .
Craig, T.S. (2011) Categorisation and analysis of explanatory writing in mathematics, International Journal of Mathematics Education in Science and Technology, 42(7), 867-878
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I teach calculus and linear algebra to first-year students in a variety of programmes, primarily Advanced Technology and Electrical Engineering. I also teach a premasters course in Fourier series and Laplace transforms.
I am also involved in the intercultural competence line in the Applied Mathematics Department.
The "courses" listed below are the modules including the calculus and linear algebra units I teach.