Achieving optimal best: instructional efficiency and the use of cognitive load theory in mathematical problem solving

Journal article

Phan, Huy P., Ngu, B. H. and Yeung, Alex. (2016). Achieving optimal best: instructional efficiency and the use of cognitive load theory in mathematical problem solving. Educational Psychology Review. 29(4), pp. 667 - 692. https://doi.org/10.1007/s10648-016-9373-3
AuthorsPhan, Huy P., Ngu, B. H. and Yeung, Alex
Abstract

We recently developed the Framework of Achievement Bests to explain the importance of effective functioning, personal growth, and enrichment of well-being experiences. This framework postulates a concept known as optimal achievement best, which stipulates the idea that individuals may, in general, strive to achieve personal outcomes, reflecting their maximum capabilities. Realistic achievement best, in contrast, indicates personal functioning that may show moderate capability without any aspiration, motivation, and/or effort expenditure. Furthermore, our conceptualization indicates the process of optimization, which involves the optimization of achievement of optimal best from realistic best. In this article, we explore the Framework of Achievement Bests by situating it within the context of student motivation. In our discussion of this theoretical orientation, we explore in detail the impact of instructional designs for effective mathematics learning as an optimizer of optimal achievement best. Our focus of examination of instructional designs is based, to a large extent, on cognitive load paradigm, theorized by Sweller and his colleagues. We contend that, in this case, cognitive load imposition plays a central role in the structure of instructional designs for effective learning, which could in turn influence individuals’ achievements of optimal best. This article, conceptual in nature, explores varying efficiencies of different instructional approaches, taking into consideration the potency of cognitive load imposition. Focusing on mathematical problem solving, we discuss the potentials for instructional approaches to influence individuals’ striving of optimal best from realistic best.

Year2016
JournalEducational Psychology Review
Journal citation29 (4), pp. 667 - 692
PublisherSpringer New York LLC
ISSN1040-726X
Digital Object Identifier (DOI)https://doi.org/10.1007/s10648-016-9373-3
Scopus EID2-s2.0-84973636338
Page range667 - 692
Research GroupInstitute for Positive Psychology and Education
Publisher's version
File Access Level
Controlled
Place of publicationUnited States
EditorsF. Paas
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Bodkin-Andrews, Gawaian, Nelson, Genevieve, Craven, Rhonda G., Yeung, Alexander Seeshing and Newey, Katrina. (2008). The failure of general self-esteem: Self-esteem's aggravating affect on racial discrimination's relation to achievement. Australian Association for Research in Education Annual Conference. Australia: Australian Association for Research in Education. pp. 1 - 16
Ability vs. effort: Perceptions of students from the east and from the west
Yeung, Alexander Seeshing and Yeung, Anton. (2008). Ability vs. effort: Perceptions of students from the east and from the west. In In O.S. Tan, D.M. McInerney and A.D. Liem & A.G. Tan (Ed.). What the west can learn from the East: Asian perspectives on the psychology of learning and motivation pp. 77 - 99 Information Age Publishing.
A New multi-dimensional domain-specific motivation questionnaire: Measurement of young children's multi-faceted reading motivation
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