Conceptions of Efficiency: Applications in Learning and Problem Solving

The purpose of this article is to clarify conceptions, definitions, and applications of learning and problem-solving efficiency. Conceptions of efficiency vary within the field of educational psychology, and there is little consensus as to how to define, measure, and interpret the efficiency construct. We compare three diverse models that differ in computation (i.e., how efficiency scores are calculated), measurement (i.e., what variables are used to calculate an efficiency score), and application (i.e., under what research and instructional contexts each model should be used). Strengths and weaknesses of each model are discussed. The article provides a definition of the underlying construct assessed by each model and considers the most plausible interpretation of each type of efficiency score. Recommendations are provided for using these conceptions in future research, and especially the use of multiple measures in the same study.

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

[2]  Kara S. Finnigan,et al.  Do Accountability Policy Sanctions Influence Teacher Motivation? Lessons From Chicago’s Low-Performing Schools , 2007 .

[3]  G. Salomon Television is "easy" and print is "tough": The differential investment of mental effort in learning as a function of perceptions and attributions. , 1984 .

[4]  Philip H. Winne,et al.  Exploring students’ calibration of self reports about study tactics and achievement , 2002 .

[5]  Gerald E. Larson,et al.  Evaluation of a “mental effort” hypothesis for correlations between cortical metabolism and intelligence , 1995 .

[6]  C. M. Allwood,et al.  The effects of source and type of feedback on child witnesses’ metamemory accuracy , 2005 .

[7]  Alexandru Spatariu,et al.  The influence of self-efficacy and metacognitive prompting on math problem-solving efficiency , 2008 .

[8]  Fred G. W. C. Paas,et al.  The Efficiency of Instructional Conditions: An Approach to Combine Mental Effort and Performance Measures , 1992 .

[9]  R. Pace,et al.  Competence, efficiency, and organizational learning , 1997 .

[10]  Mark W. Lipsey,et al.  Design Sensitivity: Statistical Power for Experimental Research. , 1989 .

[11]  A. Blume A Learning-Efficiency Explanation of Structure in Language , 2004 .

[12]  M. Scheerer,et al.  Problem Solving , 1967, Nature.

[13]  F. Paas,et al.  Instructional Efficiency: Revisiting the Original Construct in Educational Research , 2008 .

[14]  R. Solórzano High Stakes Testing: Issues, Implications, and Remedies for English Language Learners , 2008 .

[15]  F. Paas,et al.  Cognitive Load Measurement as a Means to Advance Cognitive Load Theory , 2003 .

[16]  Slava Kalyuga,et al.  Enhancing Instructional Efficiency of Interactive E-learning Environments: A Cognitive Load Perspective , 2007 .

[17]  Mark W. Lipsey,et al.  Evaluation: A Systematic Approach , 1979 .

[18]  L. Thurstone The relation between learning time and length of task. , 1930 .

[19]  N. Fouad,et al.  Cultural influences on responses to items on the strong interest inventory , 2005 .

[20]  Peggy P. Chen Exploring the accuracy and predictability of the self-efficacy beliefs of seventh-grade mathematics students , 2003 .

[21]  Slava Kalyuga,et al.  Rapid dynamic assessment of expertise to improve the efficiency of adaptive e-learning , 2005 .

[22]  Linda R. Valli,et al.  The Changing Roles of Teachers in an Era of High-Stakes Accountability , 2007 .

[23]  L. Hedges,et al.  Within-category feature correlations and Bayesian adjustment strategies , 2006, Psychonomic bulletin & review.

[24]  A. Gopnik,et al.  Causal learning across domains. , 2004, Developmental psychology.

[25]  Jeffrey J. Walczyk,et al.  Effects of examples and embedded questions on the accuracy of comprehension self-assessments , 1989 .

[26]  Fred Paas,et al.  Cueing for transfer in multimedia programmes: process worksheets vs. worked-out examples , 2004, J. Comput. Assist. Learn..

[27]  S. Ian Robertson,et al.  Problem-solving , 2001, Human Thinking.

[28]  F. Paas,et al.  A motivational perspective on the relation between mental effort and performance: Optimizing learner involvement in instruction , 2005 .

[29]  C. Rivault,et al.  Learning and foraging efficiency in German cockroaches, Blattella germanica (L.) (Insecta: Dictyoptera) , 2000, Animal Cognition.

[30]  Raymond W. Kulhavy,et al.  Feedback complexity and corrective efficiency , 1985 .

[31]  A. Jensen,et al.  Cognition and Intelligence: Mental Chronometry and the Unification of Differential Psychology , 2004 .

[32]  K. Stanovich,et al.  Heuristics and Biases as Measures of Critical Thinking: Associations with Cognitive Ability and Thinking Dispositions , 2008 .

[33]  P. Chandler,et al.  Why Some Material Is Difficult to Learn , 1994 .

[34]  J. Borkowski,et al.  Cognition in Special Children: Comparative Approaches to Retardation, Learning Disabilities, and Giftedness , 1987 .

[35]  J. Tenenbaum,et al.  Bayesian Networks, Bayesian Learning and Cognitive Development , 2022 .

[36]  R. Rosenthal Meta-analytic procedures for social research , 1984 .

[37]  Richard P. Larrick,et al.  Skilled or unskilled, but still unaware of it: how perceptions of difficulty drive miscalibration in relative comparisons. , 2006, Journal of personality and social psychology.

[38]  J. Eccles,et al.  In the Mind of the Actor: The Structure of Adolescents' Achievement Task Values and Expectancy-Related Beliefs , 1995 .

[39]  K. Stanovich,et al.  Heuristics and Biases: Individual Differences in Reasoning: Implications for the Rationality Debate? , 2002 .

[40]  Sehwan Kim,et al.  Benefit-Cost Analysis of Drug Abuse Prevention Programs: A Macroscopic Approach , 1995, Journal of drug education.

[41]  Fred Paas,et al.  Exploring Multidimensional Approaches to the Efficiency of Instructional Conditions , 2004 .

[42]  Jeffrey J. Walczyk,et al.  The Relation between Low- and High-Level Reading Skills in Children. , 1992 .

[43]  David L Streiner,et al.  Diagnosing Tests: Using and Misusing Diagnostic and Screening Tests , 2003, Journal of personality assessment.

[44]  L. Crocker,et al.  Introduction to Classical and Modern Test Theory , 1986 .

[45]  K. Stanovich,et al.  Cognitive Ability, Thinking Dispositions, and Instructional Set as Predictors of Critical Thinking. , 2007 .

[46]  Maria T. Potenza,et al.  Constraints on the Calibration of Performance , 1993 .

[47]  Mien Segers,et al.  The importance of prior knowledge and assessment for increasing efficiency of the learning processes, especially in ‘problem-based’ powerful learning environments , 1996 .

[48]  Jeffrey J. Walczyk,et al.  Development of the Interplay Between Automatic Processes and Cognitive Resources in Reading , 2007 .

[49]  A. Neubauer,et al.  Intelligence and neural efficiency , 2009, Neuroscience & Biobehavioral Reviews.

[50]  George Wright,et al.  An Empirical Test of the Relative Validity of Expert and Lay Judgments of Risk , 2002, Risk analysis : an official publication of the Society for Risk Analysis.

[51]  M. Eysenck,et al.  Anxiety and Performance: The Processing Efficiency Theory , 1992 .

[52]  P. Rossi,et al.  Evaluation: A systematic approach, 5th ed. , 1989 .

[53]  Jeffrey J. Walczyk,et al.  Time Restriction and the Linkage between Subcomponent Efficiency and Algebraic Inequality Success. , 2006 .

[54]  Mark R. Wilson,et al.  The role of effort in influencing the effect of anxiety on performance: testing the conflicting predictions of processing efficiency theory and the conscious processing hypothesis. , 2007, British journal of psychology.

[55]  Peter Sandiford,et al.  General Experimental Psychology. , 2022 .

[56]  John K. Roman,et al.  What does cost-benefit analysis add to decision making? Evidence from the criminal justice literature , 2008 .

[57]  K. Stanovich TOWARD AN INTERACTIVE-COMPENSATORY MODEL OF INDIVIDUAL DIFFERENCES IN THE DEVELOPMENT OF READING FLUENCY , 1980 .

[58]  K. A. Ericsson,et al.  Expert and exceptional performance: evidence of maximal adaptation to task constraints. , 1996, Annual review of psychology.

[59]  Omar S. López Classroom Diversification: A Strategic View of Educational Productivity , 2007 .

[60]  Dieter Fensel,et al.  The essence of problem-solving methods: making assumptions to gain efficiency , 1998, Int. J. Hum. Comput. Stud..

[61]  Russell G. Almond,et al.  Modeling Diagnostic Assessments with Bayesian Networks , 2007 .

[62]  Keith E. Stanovich,et al.  Who uses base rates andP(D/∼H)? An analysis of individual differences , 1998 .

[63]  Abdel K. Halabi,et al.  Empirical Evidence on the Relative Efficiency of Worked Examples versus Problem‐Solving Exercises in Accounting Principles Instruction , 2005 .

[64]  A. Yeung,et al.  Toward a Subjective Mental Workload Measure. , 2000 .

[65]  Katherine A. Rawson,et al.  Examining the efficiency of schedules of distributed retrieval practice , 2007, Memory & cognition.

[66]  André Vandierendonck,et al.  Effects of problem size, operation, and working-memory span on simple-arithmetic strategies: differences between children and adults? , 2008, Psychological research.

[67]  Aljoscha C. Neubauer,et al.  Superior performance and neural efficiency: The impact of intelligence and expertise , 2006, Brain Research Bulletin.

[68]  M. Buchsbaum,et al.  Intelligence and changes in regional cerebral glucose metabolic rate following learning , 1992 .

[69]  C. Wolters,et al.  Regulation of Motivation: Evaluating an Underemphasized Aspect of Self-Regulated Learning , 2003 .

[70]  J. Merriënboer,et al.  Selecting learning tasks: Effects of adaptation and shared control on learning efficiency and task involvement☆ , 2008 .

[71]  A. Rigby,et al.  Statistical methods in epidemiology. VIII. On the use of likelihood ratios for diagnostic testing with an application to general practice , 2005, Disability and rehabilitation.

[72]  M. Pressley,et al.  Cognitive Strategies Instruction: From Basic Research to Classroom Instruction , 2009 .

[73]  Peggy P. Chen,et al.  A Cross-National Comparison Study on the Accuracy of Self-Efficacy Beliefs of Middle-School Mathematics Students , 2007 .

[74]  T. McGlashan,et al.  Discriminant efficiency of antisocial and borderline personality disorder criteria in Hispanic men with substance use disorders. , 2005, Comprehensive psychiatry.

[75]  Edna H. Mory,et al.  Adaptive Feedback in Computer-Based Instruction: Effects of Response Certitude on Performance, Feedback-Study Time, and Efficiency , 1994 .

[76]  G. Naylor,et al.  Rates of information-transfer in elderly subjects , 1969 .

[77]  A. Jensen,et al.  Task Complexity and the Speed and Efficiency of Elemental Information Processing: Another Look at the Nature of Intellectual Giftedness , 1994 .

[78]  J. B. Wyman,et al.  What is reading ability , 1921 .

[79]  L. Rajmil Health measurement scales. A practical guide to their development and use, 3rd ed , 2005 .

[80]  Gregory Schraw,et al.  The influence of self-efficacy and working memory capacity on problem solving efficiency , 2009 .

[81]  I. Hulicka,et al.  Maximizing Learning Efficiency in Later Adulthood: A Cognitive Problem-Solving Approach. , 1977 .

[82]  Nancy J. Stone,et al.  Exploring the Relationship between Calibration and Self-Regulated Learning , 2000 .

[83]  Gary D. Phye,et al.  Feedback Complexity and Practice: Response Pattern Analysis in Retention and Transfer. , 1989 .

[84]  M. Bracken,et al.  Screening Efficiency of the Child Behavior Checklist and Strengths and Difficulties Questionnaire: A Systematic Review. , 2008, Child and adolescent mental health.

[85]  Eduardo González,et al.  Efficiency improvement through learning , 2004, Int. J. Technol. Manag..