Teaching Markov Chain Monte Carlo: Revealing the Basic Ideas Behind the Algorithm

REFERENCES

• Albert , J. 2002 . “ Teaching introductory statistics from a Bayesian perspective ” . In The Sixth International Conference on Teaching Statistics (ICOTS6) , 1 – 6 . Cape Town , , South Africa : Brian Phillips .
   Google Scholar
• Berry , D. A. 1996 . Statistics: A Bayesian Perspective , Belmont , CA : Duxbury Press .
   Google Scholar
• Bolstad , W. M. 2002 . “ Teaching Bayesian statistics to undergraduates: Who, what, where, when, why and how ” . In The Sixth International Conference on Teaching Statistics (ICOTS6) , 1 – 6 . Cape Town , , South Africa : Brian Phillips .
   Google Scholar
• Bruner , J. S. 1966 . Toward a Theory of Instruction , New York : Norton .
   Google Scholar
• Casella , G. and George , E. I. 1992 . Explaining the Gibbs sampler . The American Statistician. , 46 ( 3 ) : 167 – 174 .
   Web of Science ®Google Scholar
• Hoff , P. D. 2009 . A First Course in Bayesian Statistical Methods , New York : Springer .
   Google Scholar
• Jackman , S. 2009 . Bayesian Analysis for the Social Sciences , Chichester , UK : Wiley .
   Google Scholar
• Kaipoi , Y. and Somersalo , E. 2005 . Statistical and Computational Inverse Problems , New York : Springer .
   Google Scholar
• Robert , C. P. and Casella , G. 1998 . Monte Carlo Statistical Methods , New York : Springer .
   Google Scholar
• Stewart , W. 2007 . “ Introducing Bayesian statistics to undergraduates ” . In Proceedings of the sixth Southern Hemisphere Conference on Mathematics and Statistics Teaching and Learning (DELTA’07) , 151 – 159 . El Calafate , , Argentina : D'Arcy-Warmington, Anne and Luaces, Victor Martinez and Oates, Greg and Varsavsky, Cristina .
   Google Scholar
• Tall , D. O. 2004 . Building theories: The three worlds of mathematics . For the Learning of Mathematics. , 24 ( 1 ) : 29 – 32 .
   Google Scholar
• Tall , D. O. 2008 . The transition to formal thinking in mathematics . Mathematics Education Research Journal. , 20 ( 2 ) : 5 – 24 .
   Google Scholar
• Tall , D. O. 2010 . Perceptions operations and proof in undergraduate mathematics . Community for Undergraduate Learning in the Mathematical Sciences (CULMS) Newsletter. , 2 : 21 – 28 .
   Google Scholar