Teaching threshold concepts in engineering mathematics using MathCasts

Conference item

Loch, Birgit and McLoughlin, Catherine. (2012). Teaching threshold concepts in engineering mathematics using MathCasts. In L Mann and S Daniel (Ed.). Proceedings of 23rd Annual Conference of the Australasian Association for Engineering Education. The Profesion of Engineering Education: Advancing teaching, research and careers. Australia: Swinburne University of Technology. pp. 1 - 8
AuthorsLoch, Birgit and McLoughlin, Catherine
Abstract

Background: Engineering students undertaking mathematical subjects often encounter difficulties with specific concepts taught in their units. This presents a pedagogical challenge as teachers need to provide students with a sound foundation in mathematical concepts. Threshold concepts denote concepts that are essential to knowledge and understanding within particular disciplines as they act like conceptual portals that once crossed enable students to comprehend a topic not previously understood. In turn this enables the learner to progress to higher levels of learning. Grasping a threshold concept transforms student perceptions of the subject area, and they are better able to relate the topic to core ideas in wider fields of study. We note that threshold concepts discussed in the literature are mostly at a broader scale, e.g. numbers and functions, and do not pin point particular micro-concepts within these larger concepts (Worsley, Bulmer and O'Brien,2008; Petterson, 2012) Purpose: In this study, we investigate how threshold concepts can be identified down to the level of individual mathematical examples. Design/Method: We undertake a content analysis of explanations of mathematical problem solving in MathsCasts. MathsCasts are short and focused videos of mathematical explanation that were specifically developed to support first-year engineering students' learning of mathematics. Results: While all MathsCasts, by design, address conceptually complex knowledge, it is not immediately clear if these are also threshold concepts. Through application of the criteria for threshold concepts to selected MathsCasts, we indeed found two exemplars that appear to fulfil most criteria for threshold concepts. Conclusions: We have found this exercise of identifying threshold concepts in MathsCasts much more involved than initially expected, but believe that it is a productive basis for pedagogy that needs further investigation. For instance, students will need to be interviewed on their views to corroborate our findings, and the acquisition of (micro) threshold concepts and cognitive transformation in students will need to be verified.

Year2012
PublisherSwinburne University of Technology
Web address (URL)http://search.informit.com.au/documentSummary;dn=238280992464737;res=IELENG
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Page range1 - 8
Research GroupSchool of Education
Place of publicationAustralia
EditorsL Mann and S Daniel
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McLoughlin, Catherine and Rifkin, Will. (2004). Sharing pedagogical practice on the teaching of generic skills. In R. Atkinson, C. McBeath and D. Jonas-Dwyer (Ed.). Beyond the Comfort Zone: Proceedings of the Australasian society for computers in Learning in tertiary education. Perth,Australia: Australasian Society for Computers in Learning in Tertiary Education. pp. 802 - 820
An investigation of the motivational aspects of peer and self-assessment enhancing teamwork outcomes
McLoughlin, Catherine. (2004). An investigation of the motivational aspects of peer and self-assessment enhancing teamwork outcomes. In R. Atkinson, C. McBeath and D. Jonas-Dwyer (Ed.). Beyond the Comfort Zone: Proceedings of the Australasian society for computers in Learning in tertiary education. Perth,Australia: Australasian Society for Computers in Learning in Tertiary Education. pp. 629 - 636
Scaffolding by peers through reciprocal dialogue on bulletin boards
McLoughlin, Catherine and Luca, Joe. (2004). Scaffolding by peers through reciprocal dialogue on bulletin boards. In E. McKay (Ed.). Proceedings of the International Conference on Computers in Education. Melbourne,Australia: International Conference on Computers in Education. pp. 191 - 200
Online support for resource sharing in the teaching of generic skills
McLoughlin, Catherine. (2004). Online support for resource sharing in the teaching of generic skills. In E. McKay (Ed.). Proceedings of the International Conference on Computers in Education. Melbourne,Australia: International Conference on Computers in Education. pp. 369 - 376
Online discussion and the development of professional identity :helping preservice teachers to link theory with practice
Broadbent, Carolyn, McLoughlin, Catherine and Boyle, Maureen. (2004). Online discussion and the development of professional identity :helping preservice teachers to link theory with practice. In L. Cantoni and C. McLoughlin (Ed.). Proceedings of ED- Media 2004: World Conference on Educational Multimedia; Hypermedia and Telecommunications. Norfolk; VA,USA: Association for the Advancement of Computing in Education. pp. 3655 - 3662
Student perceptions of quality in online pedagogy :implications for design
McLoughlin, Catherine. (2004). Student perceptions of quality in online pedagogy :implications for design. In L. Cantoni and C. McLoughlin (Ed.). Proceedings of Ed Media 2004: World Conference on Educational Multimedia and Hypermedia. Norfolk; VA,USA: Association for the Advancement of Computing in Education. pp. 3663 - 3669
Developing expertise and interpersonal practitioner reflection in a web environment
McLoughlin, Catherine, Broadbent, Carolyn and Boyle, Maureen. (2004). Developing expertise and interpersonal practitioner reflection in a web environment. In P. Jeffrey (Ed.). Proceedings of the Australasian Association for Research in Education International Conference. Melbourne,Australia: Australian Association for Research in Education. pp. 1 - 8
Achieving excellence in teaching through scaffolding learner competence
McLoughlin, Catherine. (2004). Achieving excellence in teaching through scaffolding learner competence. In R. Atkinson (Ed.). Seeking Educational Excellence. Proceedings of the 13th Annual Teaching Learning forum. Perth, Australia: Murdoch University. pp. 1 - 6
Relearning through e-learning :changing conceptions of teaching through online experience
McLoughlin, Catherine and Al-Mahmood, Reem. (2004). Relearning through e-learning :changing conceptions of teaching through online experience. In R. Atkinson, C. McBeath and D. Jonas-Dwyer (Ed.). Beyond the Comfort Zone: Proceedings of the Australasian society for computers in Learning in tertiary education. Perth,Australia: Australasian Society for Computers in Learning in Tertiary Education. pp. 37 - 47
Online discussion :Assisting preservice teachers in the development of a shared knowledge base
McLoughlin, Catherine, Broadbent, Carolyn and Boyle, Maureen. (2004). Online discussion :Assisting preservice teachers in the development of a shared knowledge base. In P. Danaher, C. Macpherson and F. Nouwens (Ed.). Lifelong Learning: Whose responsibility and what is your contribution?. Rockhampton, Australia: Central Queensland University Press. pp. 62 - 67
Using online forums to support a community of learning
McLoughlin, Catherine and Luca, Joe. (2004). Using online forums to support a community of learning. In L. Cantoni and C. Mcloughlin (Ed.). Proceedings of ed Media: World Conference on educational Multimedia; Hypermedia and Telecommunications. Norfolk; Va,USA: Association for the Advancement of Computing in Education. pp. 1468 - 1474
Pedagogical designs for scalable and sustainable online learning
McLoughlin, Catherine and Oliver, Ron. (2003). Pedagogical designs for scalable and sustainable online learning. In In A. Littlejohn (Ed.). Reusing Online Resources: A Sustainable Approach to E-Learning pp. 94 - 105 Kogan Pagens.
Broadening assessment strategies with information technology
McLoughlin, Catherine. (2003). Broadening assessment strategies with information technology. In In S. Naidu (Ed.). Learning and Teaching with Technology: Principles and Practices pp. 193 - 207 Kogan Pagens.
Learner support in distance and networked learning environments: Ten dimensions for successful design
McLoughlin, Catherine. (2002). Learner support in distance and networked learning environments: Ten dimensions for successful design. Distance Education. 23(2), pp. 149 - 162.
Computer supported teamwork: An integrative approach to evaluating cooperative learning in an online environment
McLoughlin, Catherine. (2002). Computer supported teamwork: An integrative approach to evaluating cooperative learning in an online environment. Australian Journal of Educational Technology (print version). 18(2), pp. 227 - 254.
Designing an effective web-based environment for collaboration and teamwork
McLoughlin, Catherine. (2002). Designing an effective web-based environment for collaboration and teamwork. International Journal of Continuing Engineering Education and Life-Long Learning. 12(June), pp. 371 - 387.