Mechanisms Underlying the Spacing Effect in Learning: A Comparison of Three Computational Models

The spacing effect is one of the most widely replicated results in experimental psychology: Separating practice repetitions by a delay slows learning but enhances retention. The current study tested the suitability of the underlying, explanatory mechanism in three computational models of the spacing effect. The relearning of forgotten material was measured, as the models differ in their predictions of how the initial study conditions should affect relearning. Participants learned Japanese–English paired associates presented in a massed or spaced manner during an acquisition phase. They were tested on the pairs after retention intervals ranging from 1 to 21 days. Corrective feedback was given during retention tests to enable relearning. The results of 2 experiments showed that spacing slowed learning during the acquisition phase, increased retention at the start of tests, and accelerated relearning during tests. Of the 3 models, only 1, the predictive performance equation (PPE), was consistent with the finding of spacing-accelerated relearning. The implications of these results for learning theory and educational practice are discussed.

[1]  H. Ebbinghaus Über das Gedächtniss: Untersuchungen zur experimentellen Psychologie , 1885 .

[2]  W. G. Smith Die Assoziationsfestigkeit in ihrer Abh?ngigkeit von der Verteilung der Wiederholungen. , 1897 .

[3]  Edward L. Thorndike,et al.  The curve of work. , 1912 .

[4]  W. Estes Statistical theory of distributional phenomena in learning. , 1955, Psychological review.

[5]  W. Estes,et al.  Learning theory and the new "mental chemistry". , 1960, Psychological review.

[6]  J. Greeno,et al.  PAIRED-ASSOCIATE LEARNING WITH MASSED AND DISTRIBUTED REPETITIONS OF ITEMS. , 1964, Journal of experimental psychology.

[7]  A. W. Melton The situation with respect to the spacing of repetitions and memory , 1970 .

[8]  Joseph L. Young,et al.  Reinforcement-test intervals in paired-associate learning , 1971 .

[9]  Douglas L. Hintzman,et al.  Spacing effects in picture memory , 1973, Memory & cognition.

[10]  Douglas L. Hintzman,et al.  Theoretical implications of the spacing effect. , 1974 .

[11]  A. Glenberg Monotonic and nonmonotonic lag effects in paired-associate and recognition memory paradigms , 1976 .

[12]  R. G. Crowder Principles of learning and memory , 1977 .

[13]  Colin M. Macleod Bilingual episodic memory: Acquisition and forgetting , 1976, Journal of Verbal Learning and Verbal Behavior.

[14]  T. O. Nelson Detecting small amounts of information in memory: Savings for nonrecognized items. , 1978 .

[15]  H. P. Bahrick Maintenance of knowledge: Questions about memory we forgot to ask. , 1979 .

[16]  A. Glenberg,et al.  Component-levels theory of the effects of spacing of repetitions on recall and recognition , 1979, Memory & cognition.

[17]  L. Groninger,et al.  A comparison of recognition and savings as retrieval measures: A reexamination , 1980 .

[18]  T. O. Nelson,et al.  Ebbinghaus's contribution to the measurement of retention: savings during relearning. , 1985, Journal of experimental psychology. Learning, memory, and cognition.

[19]  Timothy D. Lee,et al.  Distribution of Practice in Motor Skill Acquisition: Learning and Performance Effects Reconsidered , 1988 .

[20]  Colin M. Macleod,et al.  Forgotten but not gone: savings for pictures and words in long-term memory. , 1988, Journal of experimental psychology. Learning, memory, and cognition.

[21]  F. N. Dempster,et al.  The spacing effect: A case study in the failure to apply the results of psychological research. , 1988 .

[22]  I. Begg,et al.  Repetition and trace interaction: Superadditivity , 1988, Memory & cognition.

[23]  Colin M. Macleod,et al.  Forgotten but not gone: savings for pictures and words in long-term memory. , 1988, Journal of experimental psychology. Learning, memory, and cognition.

[24]  Robert L. Greene,et al.  Spacing effects in memory: evidence for a two-process account , 1989 .

[25]  Robert A. Bjork,et al.  A new theory of disuse and an old theory of stimulus fluctuation , 1992 .

[26]  R. Schmidt,et al.  New Conceptualizations of Practice: Common Principles in Three Paradigms Suggest New Concepts for Training , 1992 .

[27]  H. P. Bahrick,et al.  Maintenance of Foreign Language Vocabulary and the Spacing Effect , 1993 .

[28]  R. Bjork Memory and metamemory considerations in the training of human beings. , 1994 .

[29]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[30]  L. Wasserman,et al.  Computing Bayes Factors by Combining Simulation and Asymptotic Approximations , 1997 .

[31]  D H Brainard,et al.  The Psychophysics Toolbox. , 1997, Spatial vision.

[32]  J. Wixted,et al.  Genuine power curves in forgetting: A quantitative analysis of individual subject forgetting functions , 1997, Memory & cognition.

[33]  C. Lebiere,et al.  The Atomic Components of Thought , 1998 .

[34]  B. Barnes,et al.  Creating the practice‐learning environment: using information technology to support a new model of continuing medical education , 1998, Academic medicine : journal of the Association of American Medical Colleges.

[35]  D C Rubin,et al.  The spacing effect depends on an encoding deficit, retrieval, and time in working memory: evidence from once-presented words. , 1998, Memory.

[36]  John R. Anderson,et al.  Implications of the ACT-R Learning Theory: No Magic Bullets , 2000 .

[37]  John R. Anderson,et al.  Spanning seven orders of magnitude: a challenge for cognitive modeling , 2002, Cogn. Sci..

[38]  Harold Pashler,et al.  Is temporal spacing of tests helpful even when it inflates error rates? , 2003, Journal of experimental psychology. Learning, memory, and cognition.

[39]  I. J. Myung,et al.  Tutorial on maximum likelihood estimation , 2003 .

[40]  Chris Janiszewski,et al.  A Meta-analysis of the Spacing Effect in Verbal Learning: Implications for Research on Advertising Repetition and Consumer Memory , 2003 .

[41]  Jeroen G. W. Raaijmakers,et al.  Spacing and repetition effects in human memory: application of the SAM model , 2003, Cogn. Sci..

[42]  D. L. Hintzman Judgment of frequency versus recognition confidence: Repetition and recursive reminding , 2004, Memory & cognition.

[43]  Henk G Schmidt,et al.  Detrimental influence of contextual change on spacing effects in free recall. , 2004, Journal of experimental psychology. Learning, memory, and cognition.

[44]  John R. Anderson,et al.  Practice and Forgetting Effects on Vocabulary Memory: An Activation-Based Model of the Spacing Effect , 2005, Cogn. Sci..

[45]  Jonathan Solity,et al.  (www.interscience.wiley.com) DOI: 10.1002/acp.1066 Distributed and Massed Practice: From Laboratory to Classroom , 2022 .

[46]  H. Pashler,et al.  Distributed practice in verbal recall tasks: A review and quantitative synthesis. , 2006, Psychological bulletin.

[47]  Kelli M Taylor,et al.  The effects of overlearning and distributed practise on the retention of mathematics knowledge , 2006 .

[48]  Peter Grünwald,et al.  Accumulative prediction error and the selection of time series models , 2006 .

[49]  Adam Dubrowski,et al.  Teaching Surgical Skills: What Kind of Practice Makes Perfect?: A Randomized, Controlled Trial , 2006, Annals of surgery.

[50]  John R. Anderson How Can the Human Mind Occur in the Physical Universe , 2007 .

[51]  Edward Vul,et al.  PSYCHOLOGICAL SCIENCE Research Article Spacing Effects in Learning A Temporal Ridgeline of Optimal Retention , 2022 .

[52]  John R Anderson,et al.  Using a model to compute the optimal schedule of practice. , 2008, Journal of experimental psychology. Applied.

[53]  Michael D. Lee,et al.  A Survey of Model Evaluation Approaches With a Tutorial on Hierarchical Bayesian Methods , 2008, Cogn. Sci..

[54]  Harold Pashler,et al.  Using tests to enhance 8th grade students' retention of U.S. history facts , 2009 .

[55]  Katherine A. Rawson,et al.  Testing the retrieval effort hypothesis: Does greater difficulty correctly recalling information lead to higher levels of memory? , 2009 .

[56]  Kevin A. Gluck,et al.  A Formal Comparison of Model Variants for Performance Prediction , 2009 .

[57]  James L. McClelland The Place of Modeling in Cognitive Science , 2009, Top. Cogn. Sci..

[58]  Ed Vul,et al.  Predicting the Optimal Spacing of Study: A Multiscale Context Model of Memory , 2009, NIPS.

[59]  Steve Bird,et al.  Effects of distributed practice on the acquisition of second language English syntax , 2010, Applied Psycholinguistics.

[60]  Aaron S. Benjamin,et al.  What makes distributed practice effective? , 2010, Cognitive Psychology.

[61]  Peter P. J. L. Verkoeijen,et al.  Spacing and Testing Effects: A Deeply Critical, Lengthy, and At Times Discursive Review of the Literature , 2010 .

[62]  Marilyn H Oermann,et al.  Effects of monthly practice on nursing studentsâ€TM CPR psychomotor skill performance , 2011 .

[63]  A. C. Butler,et al.  The critical role of retrieval practice in long-term retention , 2011, Trends in Cognitive Sciences.

[64]  Nicholas J. Cepeda,et al.  Spacing Effects in Real-World Classroom Vocabulary Learning , 2011 .

[65]  John Dunlosky,et al.  Optimizing schedules of retrieval practice for durable and efficient learning: how much is enough? , 2011, Journal of experimental psychology. General.

[66]  Michael D. Buhrmester,et al.  Amazon's Mechanical Turk , 2011, Perspectives on psychological science : a journal of the Association for Psychological Science.

[67]  Shana K. Carpenter,et al.  Using Spacing to Enhance Diverse Forms of Learning: Review of Recent Research and Implications for Instruction , 2012 .

[68]  Katherine A Rawson,et al.  Why is test-restudy practice beneficial for memory? An evaluation of the mediator shift hypothesis. , 2012, Journal of experimental psychology. Learning, memory, and cognition.

[69]  Amar Cheema,et al.  Data collection in a flat world: the strengths and weaknesses of mechanical turk samples , 2013 .

[70]  Julie L. Booth,et al.  Instructional Complexity and the Science to Constrain It , 2013, Science.

[71]  Katherine A. Rawson,et al.  Relearning attenuates the benefits and costs of spacing. , 2013, Journal of experimental psychology. General.

[72]  John Dunlosky,et al.  Improving Students’ Learning With Effective Learning Techniques: Promising Directions From Cognitive and Educational Psychology , 2012 .

[73]  Michael C. Mozer,et al.  Maximizing Students' Retention Via Spaced Review: Practical Guidance From Computational Models Of Memory , 2013, CogSci.

[74]  J. Maner,et al.  Let’s Put Our Money Where Our Mouth Is , 2014, Perspectives on psychological science : a journal of the Association for Psychological Science.

[75]  Thomas C. Toppino,et al.  About Practice: Repetition, Spacing, and Abstraction , 2014 .

[76]  D. Simons The Value of Direct Replication , 2014, Perspectives on psychological science : a journal of the Association for Psychological Science.

[77]  Robert V. Lindsey,et al.  Improving Students’ Long-Term Knowledge Retention Through Personalized Review , 2014, Psychological science.

[78]  Jesse J. Chandler,et al.  Inside the Turk , 2014 .

[79]  H. Tabbers,et al.  Retention beyond the threshold: Test-enhanced relearning of forgotten information , 2014 .

[80]  Travis Simcox,et al.  Collecting response times using Amazon Mechanical Turk and Adobe Flash , 2013, Behavior Research Methods.

[81]  Katherine A. Rawson,et al.  Does the benefit of testing depend on lag, and if so, why? Evaluating the elaborative retrieval hypothesis , 2014, Memory & Cognition.

[82]  R. Bjork,et al.  Learning Versus Performance , 2013, Perspectives on psychological science : a journal of the Association for Psychological Science.

[83]  Kalif E. Vaughn,et al.  Effects of successive relearning on recall: Does relearning override the effects of initial learning criterion? , 2016, Memory & cognition.

[84]  Paul Smolen,et al.  The right time to learn: mechanisms and optimization of spaced learning , 2016, Nature Reviews Neuroscience.

[85]  P. Kellman,et al.  A comparison of adaptive and fixed schedules of practice. , 2016, Journal of experimental psychology. General.

[86]  O. Koenig,et al.  Relearn Faster and Retain Longer: Along With Practice, Sleep Makes Perfect , 2016 .

[87]  M. Lee,et al.  Bayesian Benefits for the Pragmatic Researcher , 2016 .

[88]  Glenn Gunzelmann,et al.  Evaluating the Theoretic Adequacy and Applied Potential of Computational Models of the Spacing Effect. , 2018, Cognitive science.