References
- Ainsworth , S.E. , Bibby , P.A. and Wood , D.J. 1998 . “ Analysing the costs and benefits of multi-representational learning environments ” . In Learning with multiple representations , Edited by: van Someren , M.W. , Reimann , P. , Boshuizen , H.P.A. and de Jong , T. 120 – 134 . Amsterdam : Pergamon .
- Bakker , A. , Biehler , R. and Konold , C. 2004 . “ Should young students learn about box plots? ” . In Curricular development in statistics education: International association for statistical education , Edited by: Burrill , G. 163 – 173 . Lund : Presented at Curricular development in statistics education: International Association for Statistical Education .
- Bakker , A. and Hoffmann , M.H.G. 2005 . Diagrammatic reasoning as the basis for developing concepts: A semiotic analysis of students’ learning about statistical distribution . Educational Studies in Mathematics , 60 : 333 – 358 . doi: 10.1007/s10649-005-5536-8
- Castro Sotos , A.E. , Vanhoof , S. , Van den Noortgate , W. and Onghena , P. 2009 . How confident are students in their misconceptions about hypothesis tests? . Journal of Statistics Education , 17 ( 2 ) Retrieved from http://www.amstat.org/publications/jse/v17n2/castrosotos.pdf
- Cooper , L.L. and Shore , F.S. 2008 . Students’ misconceptions in interpreting center and variability of data represented via histograms and stem-and-leaf plots . Journal of Statistics Education , 16 ( 2 ) Retrieved from http://www.amstat.org/publications/jse/v16n2/cooper.pdf
- de Jong , T. , Ainsworth , S. , Dobson , M. , van der Hulst , A. , Levonen , J. and Reimann , P. 1998 . “ Acquiring knowledge in science and mathematics: The use of multiple representations in technology based learning environments ” . In Learning with multiple representations , Edited by: van Someren , M.W. , Reimann , P. , Boshuizen , H.P.A. and de Jong , T. 9 – 40 . Amsterdam : Pergamon .
- De Neys , W. 2004 . Automatic–heuristic and executive–analytic processing during reasoning: Chronometric and dual-task considerations . The Quarterly Journal of Experimental Psychology , 59 : 1070 – 1100 .
- delMas , R. , Garfield , J. and Ooms , A. 2005 . “ Using assessment items to study students’ difficulty reading and interpreting graphical representations of distributions ” . In Proceedings of the fourth international research forum on statistical reasoning, thinking and literacy , Edited by: Makar , K. Auckland , , New Zealand : University of Auckland . Retrieved from https://www.app.gen.umn.edu/artist/articles/SRTL4_ARTIST.pdf
- Duval , R. 2002 . The cognitive analysis of problems of comprehension in the learning of mathematics . Mediterranean Journal for Research in Mathematics Education , 1 : 1 – 16 .
- Elia , I. , Panaoura , A. , Gagatsis , A. , Gravvani , K. and Spyrou , P. 2008 . Exploring different aspects of the understanding of function: Toward a four-facet model . Canadian Journal of Science, Mathematics and Technology Education , 8 : 49 – 69 .
- Evans , J.S. 2006 . The heuristic-analytic theory of reasoning: Extension and evaluation . Psychonomic Bulletin & Review , 13 : 378 – 395 . doi: 10.3758/BF03193858
- Evans , J.St.B.T. 2008 . Dual-processing accounts of reasoning, judgement and social cognition . Annual Review of Psychology , 59 : 255 – 278 . doi: 10.1080/13546780903395748
- Evans , J.St.B.T and Over , D.E . 1996 . Rationality and reasoning , Hove : Psychology Press .
- Firth , D. 1993 . Bias reduction of maximum likelihood estimates . Biometrika , 80 : 27 – 38 .
- Garfield , J.B. 2003 . Assessing statistical reasoning . Statistics Education Research Journal , 2 ( 1 ) : 22 – 38 . doi: 10.1093/biomet/80.1.27
- Gillard , E. , Van Dooren , W. , Schaeken , W. and Verschaffel , L. 2009a . Proportional reasoning as a heuristic-based process: Time constraint and dual task considerations . Experimental Psychology , 56 : 92 – 99 . doi: 10.1027/1618-3169.56.2.92
- Gillard , E. , Van Dooren , W. , Schaeken , W. and Verschaffel , L. 2009b . Dual processes in the psychology of mathematics education and cognitive psychology . Human Development , 52 : 95 – 108 . doi: 10.1159/000202728
- Große , C.S. and Renkl , A. 2007 . Finding and fixing errors in worked examples: Can this foster learning outcomes? . Learning and Instruction , 17 : 612 – 634 .
- Kahneman , D. 2000 . A psychological point of view: Violations of rational rules as a diagnostic of mental processes . Behavioral and Brain Sciences , 23 : 681 – 683 .
- Konold , C. and Higgins , T. 2003 . “ Reasoning about data ” . In A research companion to principles and standards for school mathematics , Edited by: Kilpatrick , J. , Martin , W.G. and Schifter , D. 193 – 215 . Reston , VA : National Council of Teachers of Mathematics .
- Larkin , J.H. and Simon , H.A. 1987 . Why a diagram is (sometimes) worth ten thousand words . Cognitive Science , 11 ( 1 ) : 65 – 100 . doi: 10.1016/S0364-0213(87)80026-5
- Leinhardt , G. , Zaslavsky , O. and Stein , M.K. 1990 . Functions, graphs, and graphing: Tasks, learning, and teaching . Review of Educational Research , 60 ( 1 ) : 1 – 64 . doi: 10.2307/1170224
- Meletiou , M. and Lee , C. 2002 . Student understanding of histograms: A stumbling stone to the development of intuitions about variation , Cape Town : In proceedings of the sixth international conference on teaching statistics .
- Schnotz , W. and Kürschner , C. 2007 . External and internal representations in the acquisition and use of knowledge: Visualization effects on mental model construction . Instructional Science , 36 : 175 – 190 . doi: 10.1007/s11251-007-9029-2
- Schoolfeedbackproject (n.d.). Het Schoolfeedbackproject. Retrieved January 24, 2011, from http://ppw.kuleuven.be/schoolfeedback/.
- Thompson , V.A . 2009 . “ Dual process theories: A metacognitive perspective ” . In Two minds: Dual processes and beyond , Edited by: J.St. B.T , Evans and K. , Frankish . 171 – 195 . Oxford : Oxford University Press .
- Tufte , E.R. 1983 . The visual display of quantitative information , Cheshire , CT : Graphics Press .
- Tversky , B. Cognitive principles of graphic displays . In proceedings of the AAAI 1997 fall symposium on reasoning with diagrammatic representations . 1997 . pp. 116 – 124 .
- Uesaka , Y. and Manalo , E. 2006 . Active comparison as a means of promoting the development of abstract conditional knowledge and appropriate choice of diagrams in math word problem solving . Lecture Notes in Computer Science , 4045 : 181 – 195 . doi: 10.1007/11783183_25
- Watson , J.M. and Moritz , J.B. 1998 . The beginning of statistical inference: Comparing two data sets . Educational Studies in Mathematics , 37 ( 2 ) : 145 – 168 . doi: 10.1023/A:1003594832397
- Wilkinson , L. and The Task Force on Statistical Inference. 1999 . Statistical methods in psychology journals: Guidelines and explanations . American Psychologist , 54 : 594 – 604 . doi: 10.1037/0003-066X.54.8.594