“…Diagnostic testing has become an increasingly popular tool in third level education, both in Ireland and abroad, to help identify weaknesses in basic mathematical skills in students in mathematics courses (Tall & Razali, 1993;Edwards, 1995Edwards, , 1996Hunt & Lawson, 1996;Lawson, 1997;Todd, 2001;Engineering council, 2002;Malcolm and McCoy, 2007). Diagnostic testing has been used in the University of Limerick (UL), Ireland since 1997 to help identify students who may be 1 'at risk' of failing end of semester mathematics examinations and since then there has been a significant decline in mathematical competency (Gill, 2006).…”