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2012 Australasian Association for Engineering Education ( AAEE ) Annual Conference 3rd - 5th December 2012. Threshold concepts Troublesome “Conceptual gateways”, once crossed enable students to comprehend a topic not previously understood Transformative, irreversible, integrative
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2012 Australasian Association for Engineering Education (AAEE) Annual Conference 3rd - 5th December 2012 Threshold concepts Troublesome “Conceptual gateways”, once crossed enable students to comprehend a topic not previously understood Transformative, irreversible, integrative In maths (from literature) limit, fractions, ratios, proportions, percentages, function, ordinary DEs, method of substitution, multiple integration But what does this mean for the engineering maths lecturer??? Identification of threshold concepts down to individual maths examples Teaching Threshold Concepts in Engineering Mathematics using MathsCasts Birgit Loch and Catherine McLoughlin
Searching through MathsCasts… 2012 Australasian Association for Engineering Education (AAEE) Annual Conference 3rd - 5th December 2012 MathsCasts • Around 400 short videos (Swinburne, Loughborough, Limerick) • Mostly explaining how to solve examples, some on theory • OER (iTunes U, YouTube) Do any address threshold concepts? “Mini” threshold concepts? MathsCast: Multiplying by variables in inequalities Teaching Threshold Concepts in Engineering Mathematics using MathsCasts Birgit Loch and Catherine McLoughlin
Conclusions 2012 Australasian Association for Engineering Education (AAEE) Annual Conference 3rd - 5th December 2012 • This was not an easy task. When does a troublesome concept become a threshold concept? • We will use this exercise to inform the production of future MathsCasts • Next step: Involve lecturers in the identification of threshold concepts Question: Are you aware of other “mini” threshold concepts in engineering mathematics? Teaching Threshold Concepts in Engineering Mathematics using MathsCasts Birgit Loch and Catherine McLoughlin