Effectiveness of Combining Worked Examples And Deliberate Practice for High School Geometry

Summary Sixty-nine high school students practised on geometry subtopics using worked example–problem pairs. The free-choice group had a choice of their practice pairs, whereas the deliberate practice group was presented with practice tasks that covered all and only their weak areas as determined by a pretest. The results demonstrated a significant instructional group by level of expertise interaction with superior performance by the deliberate practice group over the free-choice group for more knowledgeable learners playing the major role in the significant interaction. On the basis of these findings, optimal strategies for organizing student practice in secondary classrooms are discussed in terms of cognitive load factors and expert–novice differences. It was concluded that a deliberate practice strategy over a free-choice strategy was desirable for more knowledgeable but not for less knowledgeable learners. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  F. Paas,et al.  Variability of Worked Examples and Transfer of Geometrical Problem-Solving Skills: A Cognitive-Load Approach , 1994 .

[2]  J. Sweller,et al.  The Use of Worked Examples as a Substitute for Problem Solving in Learning Algebra , 1985 .

[3]  J. Sweller,et al.  Effects of schema acquisition and rule automation on mathematical problem-solving transfer. , 1987 .

[4]  Tamara van Gog,et al.  The worked example and expertise reversal effect in less structured tasks : Learning to reason about legal cases , 2013 .

[5]  T. Gog,et al.  Training self-assessment and task-selection skills: A cognitive approach to improving self-regulated learning , 2012 .

[6]  Robert J. Crutcher,et al.  The role of deliberate practice in the acquisition of expert performance. , 1993 .

[7]  N. Cowan The magical number 4 in short-term memory: A reconsideration of mental storage capacity , 2001, Behavioral and Brain Sciences.

[8]  S. Tobias Achievement Treatment Interactions , 1976 .

[9]  J. Sweller,et al.  Natural Information Processing Systems , 2006 .

[10]  R. Atkinson,et al.  Structuring the Transition From Example Study to Problem Solving in Cognitive Skill Acquisition: A Cognitive Load Perspective , 2003 .

[11]  John Sweller,et al.  Levels of knowledge and deliberate practice. , 2013, Journal of experimental psychology. Applied.

[12]  Paul Ayres,et al.  Can the Isolated-Elements Strategy Be Improved by Targeting Points of High Cognitive Load for Additional Practice?. , 2013 .

[13]  K. Anders Ericsson,et al.  Why study time does not predict grade point average across college students: Implications of deliberate practice for academic performance , 2005 .

[14]  Tedd Keating,et al.  Training Physical Education Students to Self-Regulate During Basketball Free Throw Practice , 2006, Research quarterly for exercise and sport.

[15]  Fred Paas,et al.  Self-assessment and task selection in learner-controlled instruction: Differences between effective and ineffective learners , 2010, Comput. Educ..

[16]  H. Simon,et al.  Learning Mathematics From Examples and by Doing , 1987 .

[17]  Slava Kalyuga,et al.  The Expertise Reversal Effect , 2003 .

[18]  R. Snow,et al.  Lecture 2: Toward a Theory of Cognitive Aptitude for Learning from Instruction , 1984 .

[19]  Slava Kalyuga,et al.  When problem solving is superior to studying worked examples. , 2001 .

[20]  Effective Practice , 2007 .

[21]  N. Charness,et al.  Expert Performance Its Structure and Acquisition , 2002 .

[22]  Slava Kalyuga,et al.  Measuring Knowledge to Optimize Cognitive Load Factors During Instruction. , 2004 .

[23]  L. R. Peterson,et al.  Short-term retention of individual verbal items. , 1959, Journal of experimental psychology.

[24]  V. Shute Focus on Formative Feedback , 2008 .

[25]  K. A. Ericsson,et al.  Long-term working memory. , 1995, Psychological review.

[26]  John Sweller,et al.  The worked-example effect using ill-defined problems: Learning to recognise designers' styles , 2009 .

[27]  K. A. Ericsson,et al.  Deliberate practice and the acquisition and maintenance of expert performance in medicine and related domains. , 2004, Academic medicine : journal of the Association of American Medical Colleges.

[28]  John Sweller,et al.  The Effect of Worked Examples When Learning to Write Essays in English Literature , 2013 .

[29]  G. A. Miller THE PSYCHOLOGICAL REVIEW THE MAGICAL NUMBER SEVEN, PLUS OR MINUS TWO: SOME LIMITS ON OUR CAPACITY FOR PROCESSING INFORMATION 1 , 1956 .

[30]  M. Frese,et al.  Deliberate practice among South African small business owners: Relationships with education, cognitive ability, knowledge, and success , 2009 .

[31]  Paul Chandler,et al.  Levels of Expertise and Instructional Design , 1998, Hum. Factors.

[32]  Tamara van Gog,et al.  An expertise reversal effect of segmentation in learning from animated worked-out examples , 2011, Comput. Hum. Behav..