Cognitive load in percentage change problems : Unitary, pictorial, and equation approaches to instruction

Journal article

Ngu, Bing Hiong, Yeung, Alexander Seeshing and Tobias, Steve. (2014). Cognitive load in percentage change problems : Unitary, pictorial, and equation approaches to instruction. Instructional Science. 42(5), pp. 685 - 713. https://doi.org/10.1007/s11251-014-9309-6
AuthorsNgu, Bing Hiong, Yeung, Alexander Seeshing and Tobias, Steve
Abstract

Eighth grade students in Australia (N = 60) participated in an experiment on learning how to solve percentage change problems in a regular classroom in three conditions: unitary, pictorial, and equation approaches. The procedure involved a pre-test, an acquisition phase, and a post-test. The main goal was to test the relative merits of the three approaches from a cognitive load perspective. Experimental results indicated superior performance of the equation approach over the unitary or pictorial approach especially for the complex tasks. The unitary approach required students not only to process the interaction between numerous elements within and across solution steps, but also to search for critical information, thus imposing high cognitive load. The pictorial approach did not provide a consistent approach to tackling various percentage change problems. Coupled with the need to coordinate multiple elements within and across solution steps, and the need to search for relevant information in the diagram, this approach imposed high cognitive load. By treating the prior knowledge of percentage quantity as a single unit, the equation approach required students to process two elements only. Empirical evidence and theoretical support favor the equation approach as an instructional method for learning how to solve percentage change problems for eighth graders.

Year2014
JournalInstructional Science
Journal citation42 (5), pp. 685 - 713
ISSN0020-4277
Digital Object Identifier (DOI)https://doi.org/10.1007/s11251-014-9309-6
Page range685 - 713
Research GroupInstitute for Positive Psychology and Education
Publisher's version
File Access Level
Controlled
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Hornery, Samantha, Craven, Rhonda G. and Yeung, Alexander S.. (2008). A New multi-dimensional domain-specific motivation questionnaire: Measurement of young children's multi-faceted reading motivation. Australian Association for Research in Education Annual Conference. Australia: Australian Association for Research in Education. pp. 1 - 14
Domain-specific school motivation
Magson, Natasha R., Craven, Rhonda G., Nelson, Genevieve F. and Yeung, Alexander S.. (2008). Domain-specific school motivation Australia: Australian Association for Research in Education.
The development of a multi-dimensional measure of cyber bullying
Griezel, Lucy, Craven, Rhonda G. and Yeung, Alexander S.. (2008). The development of a multi-dimensional measure of cyber bullying. Australian Association for Research in Education Annual Conference. Australia: Australian Association for Research in Education. pp. 1 - 13
An elucidation and comparison of Indigenous and non-Indigenous Australian upper primary students' self-concepts
Craven, Rhonda G., Yeung, Alexander S. and Ali, Jinnat. (2008). An elucidation and comparison of Indigenous and non-Indigenous Australian upper primary students' self-concepts. Australian Association for Research in Education Annual Conference. Australia: Australian Association for Research in Education. pp. 1 - 15
identifying teachers at risk in Hong Kong: Psychosomatic symptoms and sources of stress
Jin, Putai, Yeung, Alexander Seeshing, Tang, Tak-On and Low, Renae. (2008). identifying teachers at risk in Hong Kong: Psychosomatic symptoms and sources of stress. Journal of Psychosomatic Research. 65(4), pp. 357 - 362. https://doi.org/10.1016/j.jpsychores.2008.03.003
Adolescent peer relations instrument: Assessment of its reliability and construct validity when used with upper primary students
Finger, Linda, Yeung, Alexander S., Craven, Rhonda, Parada, Roberto and Newey, Katrina. (2008). Adolescent peer relations instrument: Assessment of its reliability and construct validity when used with upper primary students. Australian Association for Research in Education Annual Conference. Australia: Australian Association for Research in Education. pp. 1 - 9
Opening the blind eye: Causal modelling of perceived discrimination and academic disengagement for Indigenous students
Bodkin-Andrews, Gawaian, Covic, Tanya, Yeung, Alexander Seeshing, Craven, Rhonda G. and O'Rourke, Virginia. (2008). Opening the blind eye: Causal modelling of perceived discrimination and academic disengagement for Indigenous students. Australian Association for Research in Education Annual Conference. Australia: Australian Association for Research in Education. pp. 1 - 16
Motivation of high and low achievers in China over time
Yeung, Alexander Seeshing, Liu, Winnie Puiling, Lai-Mui-Lee, Frances, Wu, Jun, Dai, Jing and Wu, Huixian. (2008). Motivation of high and low achievers in China over time. In In P.A. Towndrow, C. Koh and T.H. Soon (Ed.). Motivation and practice for the classroom pp. 103 - 125 Sense Publishers.
Examining the validity of motivational profiles across indigenous and non-indigenous students
Magson, Natasha R., Craven, Rhonda G., Nelson, Genevieve F. and Yeung, Alexander S.. (2008). Examining the validity of motivational profiles across indigenous and non-indigenous students. Australian Association for Research in Education Annual Conference. Australia: Australian Association for Research in Education. pp. 1 - 9
Facilitating conditions for school motivation: Construct validity and applicability
McInerney, Dennis, Dowson, Martin and Yeung, Alexander Seeshing. (2005). Facilitating conditions for school motivation: Construct validity and applicability. Educational and Psychological Measurement. 65(6), pp. 1046 - 1066. https://doi.org/10.1177/0013164405278561
Toward a Hierarchical Goal Theory Model of School Motivation
McInerney, Dennis, Marsh, Herb and Yeung, Alex. (2003). Toward a Hierarchical Goal Theory Model of School Motivation. Journal of Applied Measurement. 4(4), pp. 335 - 357.
An extension of the internal/external frame of reference model: A response to Bong (1998)
Marsh, Herb and Yeung, Alex. (2001). An extension of the internal/external frame of reference model: A response to Bong (1998). Multivariate Behavioral Research. 36(3), pp. 389 - 420. https://doi.org/10.1207/S15327906389-420
Aggressive school troublemakers and victims: A longitudinal model examining the pivotal role of self-concept
Marsh, Herb, Parada, Roberto H., Yeung, Alex and Healey, Jean. (2001). Aggressive school troublemakers and victims: A longitudinal model examining the pivotal role of self-concept. Journal of Educational Psychology. 93(2), pp. 411 - 419. https://doi.org/10.1037//0022-0663.93.2.411
Can two tongues live in harmony: Analysis of the National Education Longitudinal Study of 1988 (NELS88) longitudinal data on the maintenance of home language
Yeung, Alex, Marsh, Herb and Suliman, Rosemary. (2000). Can two tongues live in harmony: Analysis of the National Education Longitudinal Study of 1988 (NELS88) longitudinal data on the maintenance of home language. American Educational Research Journal. 37(4), pp. 1001 - 1026. https://doi.org/10.3102/000283120370041001
Causal ordering of academic self-concept and achievement: Reanalysis of a pioneering study and revised recommendations
Marsh, Herb, Byrne, Barbara M. and Yeung, Alex. (1999). Causal ordering of academic self-concept and achievement: Reanalysis of a pioneering study and revised recommendations. Educational Psychologist. 34(3), pp. 155 - 167. https://doi.org/10.1207/s15326985ep3403_2
The lability of psychological ratings: The chameleon effect in global self-esteem
Marsh, Herb and Yeung, Alex. (1999). The lability of psychological ratings: The chameleon effect in global self-esteem. Personality and Social Psychology Bulletin. 25(1), pp. 49 - 64. https://doi.org/10.1177/0146167299025001005
Longitudinal structural equation models of academic self-concept and achievement: Gender differences in the development of math and English constructs
Marsh, Herb and Yeung, Alex. (1998). Longitudinal structural equation models of academic self-concept and achievement: Gender differences in the development of math and English constructs. American Educational Research Journal. 35(4), pp. 705 - 738. https://doi.org/10.3102/00028312035004705
Top-Down, Bottom-Up, and Horizontal Models: The Direction of Causality in Multidimensional, Hierarchical Self-Concept Models
Marsh, Herb and Yeung, Alex. (1998). Top-Down, Bottom-Up, and Horizontal Models: The Direction of Causality in Multidimensional, Hierarchical Self-Concept Models. Journal of Personality and Social Psychology. 75(2), pp. 509 - 527. https://doi.org/10.1037/0022-3514.75.2.509
Organization of children's academic self-perceptions: Reanalysis and counter-interpretations of confirmatory factor analysis results
Marsh, Herb and Yeung, Alex. (1997). Organization of children's academic self-perceptions: Reanalysis and counter-interpretations of confirmatory factor analysis results. Journal of Educational Psychology. 89(4), pp. 752 - 759. https://doi.org/10.1037/0022-0663.89.4.752
Causal effects of academic self-concept on academic achievement: Structural equation models of longitudinal data
Marsh, Herb and Yeung, Alex. (1997). Causal effects of academic self-concept on academic achievement: Structural equation models of longitudinal data. Journal of Educational Psychology. 89(1), pp. 41 - 54. https://doi.org/10.1037/0022-0663.89.1.41
Coursework selection: Relations to academic self-concept and achievement
Marsh, Herb and Yeung, Alex. (1997). Coursework selection: Relations to academic self-concept and achievement. American Educational Research Journal. 34(4), pp. 691 - 720. https://doi.org/10.3102/00028312034004691
The distinctiveness of affects in specific school subjects: An application of confirmatory factor analysis with the National Educational Longitudinal Study of 1988
Marsh, Herb and Yeung, Alex. (1996). The distinctiveness of affects in specific school subjects: An application of confirmatory factor analysis with the National Educational Longitudinal Study of 1988. American Educational Research Journal. 33(3), pp. 665 - 689. https://doi.org/10.3102/00028312033003665