Educational Psychology
Vol. 30, No. 3, May 2010, 349–367
ISSN 0144-3410 print/ISSN 1469-5820 online
© 2010 Taylor & Francis
DOI: 10.1080/01443411003659960
http://www.informaworld.com
Worked example effects in individual and group work settings
Endah Retnowati, Paul Ayres* and John Sweller
School of Education, University of New South Wales, Sydney, New South Wales, Australia
Taylor and Francis CEDP_A_466505.sgm
(Received 30 September 2009; final version received 28 January 2010)
10.1080/01443411003659960 Educational Psychology 0144-3410 (print)/1469-5820 (online) Original Article 2010 Taylor & Francis 00 0000002010 PaulAyres p.ayres@unsw.edu.au
This study compared the effects of worked example and problem-solving
approaches in individual or group work settings on learning to solve geometry
problems. One hundred and one seventh graders from Indonesia were randomly
allocated to four experimental groups using a 2 (problem-solving vs. worked
examples) × 2 (individual vs. group study) design. Performance measures on
numeric and reasoning abilities using both similar and transfer tasks were
collected. The results indicated a significant superiority of the worked example
approach in both the individual and group work settings. Supporting data revealed
that students could understand the material more easily using worked examples
than when solving problems. The experiment provided evidence that the
advantage of using worked examples over solving problems extends to a group
work context.
Keywords: cognitive load theory; worked examples; group work
Introduction
Solving problems is a major activity when studying mathematics. Nevertheless,
despite the popularity of problem-solving as a teaching and learning device, there are
both theoretical and empirical grounds for suggesting that students, particularly
novices in the domain, learn more by studying worked examples than by solving
problems (Kalyuga, Ayres, Chandler, & Sweller, 2003). Cognitive load theory, for
example, argues that solving conventional problems imposes a heavy, extraneous
cognitive load that interferes with learning. Detailed theoretical reasons for this
argument are provided below.
Empirically, there is considerable evidence for the superiority of worked examples
to problem-solving in various domains for novice learners (for some examples of this
‘worked example’ effect in mathematics see: Carroll, 1994; Mwangi & Sweller, 1998;
Paas, 1992; Paas & Van Merrienboer, 1994; Sweller & Cooper, 1985; Tarmizi &
Sweller, 1988; Ward & Sweller, 1990). In contrast, problem-solving has been found
to be superior to worked examples only when learners have significant expertise (prior
knowledge) in the domain (see Kalyuga, Chandler, Sweller, & Tuovinen, 2001;
Kalyuga et al., 2003).
Most research that has compared studying worked examples with solving problems
has studied learners dealing with problems on an individual basis (see Atkinson,
Derry, Renkl, & Wortham, 2000; Sweller, 1999). It can be hypothesised that whereas
*Corresponding author. Email: p.ayres@unsw.edu.au