Does practice make perfect? A study of the Granger-causal relationship betw een attem pting to solve online exercises and m athem atical proficiency Krista Linnoinen Antti Rasila
Support Successful Student Mobility with Mumie Department of Mathematics and Systems Analysis 7.11.2013 2
Mumie Department of Mathematics and Systems Analysis 7.11.2013 3
STACK Department of Mathematics and Systems Analysis 7.11.2013 4
Sir Clive Granger (4.9.1934 - 27.5.2009) Department of Mathematics and Systems Analysis 7.11.2013 5
Assumptions for Granger causality • The past cannot be caused by the future. • Elsewhere unavailable, unique information about an effect is contained in a cause . Department of Mathematics and Systems Analysis 7.11.2013 6
Unrestricted regressions Department of Mathematics and Systems Analysis 7.11.2013 7
If students are penalised for not attempting to solve the exercises “Attempts do not Granger-cause skills” “Skills do not Granger-cause attempts” Department of Mathematics and Systems Analysis 7.11.2013 8
32% penalty and penalising students for not attempting to solve the exercises “Attempts do not “Skills do not Granger-cause Granger-cause attempts” skills” Department of Mathematics and Systems Analysis 7.11.2013 9
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