Optimizing distributed practice
Open accessAbstract
More than a century of research shows that increasing the gap between study episodes using the same material can enhance retention, yet little is known about how this so-called distributed practice effect unfolds over nontrivial periods. In two three-session laboratory studies, we examined the effects of gap on retention of foreign vocabulary, facts, and names of visual objects, with test delays up to 6 months. An optimal gap improved final recall by up to 150%. Both studies demonstrated nonmonotonic gap effects: Increases in gap caused test accuracy to initially sharply increase and then gradually decline. These results provide new constraints on theories of spacing and confirm the importance of cumulative reviews to promote retention over meaningful time periods.
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Claims the paper makes
12 of 36 cited sources checked · 2 supported · 0 flagged · accuracy not yet measured
- Premisecitation
A recent literature review found only 14 studies comparing very short gaps (less than three hours) and long gaps (one day or more) with test delays of one day or more.
“A recent literature review (Cepeda et al., 2006) found just 14 studies that provided comparisons of very short (less than three hours) and long (one day or more) gaps with test delays of one day or more”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Cepeda et al., 2006 source
The review reports that the literature does not fully represent combinations of inter-study intervals and test delays (Spacing Effects, p. 8), and calls for more studies with educationally relevant intervals (Limitations, p. 14). These passages support the claim that evidence for such comparisons was limited, but our copy does not establish the specific count of 14 studies meeting the stated gap and test-delay thresholds. (LLM, conf=0.78)
Experimental — accuracy not yet measured
- Premisecitation
In each of those 14 studies, a gap of one day or more was superior to a very short gap.
“In each study, a one-or-more day gap was superior to a very short gap.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Cepeda et al., 2006 source
The Educational Implications section (p. 14) supports a benefit from gaps of at least one day for long-term retention, and the Limitations section (p. 14) says multi-day spacing outperforms spacing of a few minutes for long-term retention. The paper does not establish that this comparison favored the longer gap in each of the 14 studies; its lag analysis (p. 8) finds little, if any, effect at retention intervals shorter than one day. (LLM, conf=0.83)
Experimental — accuracy not yet measured
- Findingown data
In the combined data from the Cepeda et al. (2006) meta-analysis and this paper, the best gap rises with the test delay.
“First, optimal gap increases as a function of test delay.”
- Also stated in: § Additional information · plain
“Optimal gap increases as test delay increases, and the ratio of optimal gap to test delay decreases as test delay increases.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Cepeda et al. (2006) source
- Also stated in: § Additional information · plain
- Findingown data
The best gap becomes a smaller fraction of the test delay as that delay grows.
“Second, the ratio of optimal gap to test delay appears to decrease as a function of test delay.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Cepeda et al. (2006) source
The General Discussion (p. 11) says that the optimal inter-study interval increases as the retention interval increases. It does not establish the more specific claim that the optimal interval becomes a decreasing fraction of the test delay. (LLM, conf=0.78)
Experimental — accuracy not yet measured
- Premisecitation
Compared with testing plus feedback, review is an ineffective restudy method.
“review, as compared to testing with feedback, is a poor way to restudy information (Pashler, Cepeda, Wixted, & Rohrer, 2005).”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Pashler, Cepeda, Wixted, & Rohrer, 2005 source
The Results and Discussion (page unavailable) report that correct-answer feedback after an incorrect response improved one-week retention compared with no feedback. But the paper does not compare testing with feedback against review or restudy, so it does not establish that review is a poor restudy method. (LLM, conf=0.83)
Experimental — accuracy not yet measured
- Findingown data
In Experiment 1, increasing gap beyond one day produced a small but relatively steady decline in final-test scores, with recall accuracy decreasing 11% from 1 to 14 days.
“Increases in gap beyond a single day produced a small but relatively steady decline in final-test scores, with recall accuracy decreasing just 11% as gap increased from 1 to 14 days.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 1, there was a main effect of gap on final-test recall, F(5,176)=3.7, p<.005.
“There was a main effect of gap, F(5,176) = 3.7, p < .005.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 1, recall improved by 34% as gap increased from zero to one day.
“Recall improved by 34% as gap increased from zero to one day.”
Quote in the paperSubstantial claim - Findingown data
Both studies showed non-monotonic gap effects: as gap increased, test accuracy first rose sharply and then declined gradually.
“Both studies demonstrated non-monotonic gap effects: Increases in gap caused test accuracy to initially sharply increase and then gradually decline.”
Quote in the paperSubstantial claim - Findingreasoning
In Experiment 1, the first test of Session 2 showed a traditional forgetting function.
“The first test of Session 2 measured retention after a single exposure period, and these data therefore show a traditional forgetting function.”
Quote in the paperNot a substantial claim - Findingown data
In Experiment 1, a one-day gap optimized final-test recall.
“For the final test, which reflects the benefits of spacing, a one-day gap optimized recall.”
Quote in the paperSubstantial claim - Findingown data
The fitted function explained a moderate amount of variance: R2 = .67, .90, and .75 for Experiments 1, 2 (facts), and 2 (objects), respectively.
“The function explained a moderate amount of variance (with R 2 = .67,.90, and .75,respectively).”
Quote in the paperSubstantial claim- Rests on an assumption: The quadratic-in-log-gap function is an adequate description of the relationship between gap and final test score, despite not being theoretically motivated.
- Findingown data
Gaps longer than the best one, up to the longest tested, led to small, nonsignificant yet non-negligible drops in final recall and recognition.
“First, whereas an increase in gap from several minutes to the optimal gap produced a major gain in long-term retention, further increases in gap (from the optimal to the longest gap we tested) produced relatively small and non-significant (Experiment 1, p = .463;Experiment 2, p = .448)-but not trivial -decreases in both final recall and recognition.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 2, the one-day gap produced significantly worse recall than the 28-day gap.
“The one-day gap produced significantly worse recall than the 28-day gap.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 2, performance on the first test of Session 2 exhibited a typical forgetting function.
“As in Experiment 1, performance on the first test of Session 2 exhibited a typical forgetting function.”
Quote in the paperNot a substantial claim - Findingown data
In Experiment 2, recognition accuracy at final test varied across gaps: 91%, 95%, 97%, 98%, 95%, and 96% correct at 0, 1, 7, 28, 84, and 168 days, respectively.
“Recognition test performance at 0-, 1-, 7-, 28-, 84-, and 168-day gaps was 91 (9.1), 95 (5.1), 97 (3.2), 98 (2.4), 95 (5.2), and 96 (7.2) percent correct (SD), respectively, mirroring the recall test results.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 2, facts were easier to learn than pictures, F(1,155)=254.9, p<.001.
“Facts were easier to learn than pictures, F(1,155) = 254.9,p < .001.”
Quote in the paperNot a substantial claim - Findingown data
In Experiment 2, performance on the first test of Session 1 showed no main effect or interaction involving gap.
“Performance on the first test of Session 1 showed no main effect or interaction involving gap.”
Quote in the paperNot a substantial claim - Findingown data
In Experiment 2, a mixed-model ANOVA on final-test multiple-choice recognition found a significant main effect of gap.
“There was a main effect of gap, F(5,155) = 4.9, p < .001.”
Quote in the paperSubstantial claim - Findingown data
Moving from a gap of minutes to the best gap yielded a large improvement in long-term retention.
“First, whereas an increase in gap from several minutes to the optimal gap produced a major gain in long-term retention, further increases in gap (from the optimal to the longest gap we tested) produced relatively small and non-significant (Experiment 1, p = .463;Experiment 2, p = .448)-but not trivial -decreases in both final recall and recognition.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 2, increasing gap from 28 to 168 days produced a relatively modest decline in retention of only 23%.
“Increasing gap from 28 to 168 days produced a relatively modest decline in retention of only 23%.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 2, Tukey HSD tests showed the zero-day gap produced significantly worse recall than all gaps longer than one day.
“Tukey HSD tests show that the zero-day gap produced significantly worse recall than all gaps longer than one day.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 2, final-test recall was optimized by a 28-day gap rather than a 1-day gap.
“In contrast to the results of Experiment 1, finaltest recall performance was optimized by a gap of 28 days rather than just 1 day.”
Quote in the paperSubstantial claim - Findingown data
Spacing benefits were observed with test delays longer than one week in the present experiments, using a nonconfounded design.
“First, spacing benefits were seen with test delays longer than one week (Figures 3 and 4), using a nonconfounded design.”
Quote in the paperSubstantial claim - Findingown data
A linear function explained far less variance than numerous nonlinear functions with two parameters.
“By contrast, the variance explained by a line (R 2 = .004,.10,and .14, respectively) was far less than that explained by numerous nonlinear functions with just two parameters.”
Quote in the paperSubstantial claim - Findingown data
In Experiment 2, no other pairwise comparisons were significant.
“No other pair-wise comparisons were significant.”
Quote in the paperSubstantial claim - Interpretationreasoning
There is little basis for advice about maximizing retention in real-world contexts.
“Therefore, there is little to basis for advice about how to maximize retention in real-world contexts.”
Quote in the paperSubstantial claim - Premisereasoning
After excluding problematic studies, only four studies remained.
“Once these problematic studies were excluded, just four studies remain”
Quote in the paperSubstantial claim0 of 3 sources checked - Premiseown data
Many of those 13 studies had undesirable methodological features.
“We found that many of these 13 studies had undesirable methodological features.”
Quote in the paperSubstantial claim - Interpretationown data
The results impose new constraints on theories of spacing.
“These results provide new constraints on theories of spacing”
Quote in the paperSubstantial claim - Interpretationreasoning
Existing theories of distributed practice may not have much bearing on the phenomenon over much longer time periods.
“existing theories of distributed practice may not have much bearing on the phenomenon as it arises over a much longer time period.”
Quote in the paperSubstantial claim - Premisenone given
Research spanning more than a century indicates that lengthening the interval between study episodes with the same material can improve later retention.
“More than a century of research shows that increasing the gap between study episodes using the same material can enhance retention”
Quote in the paperSubstantial claim - Premisereasoning
Some existing distributed practice theories were formulated in ways that seem hard to apply to gaps longer than a few minutes.
“some existing distributed practice theories were formulated in ways that seem hard to apply to gaps longer than a few minutes.”
Quote in the paperSubstantial claim - Study design and conductnone given
Experiments 1 and 2 are the first unconfounded examinations of paired associate learning in adults using test delays of a day or longer.
“Experiments 1 and 2 are the first unconfounded examinations of paired associate learning in adults, using dayor-longer test delays.”
Quote in the paperNot a substantial claim - Interpretationcitation
Experiment 1 results generally agree with previous confound-free studies using similar gaps and test delays.
“The results show generally good agreement with previous confound-free studies that used similar gaps and test delays”
Quote in the paperSubstantial claim0 of 3 sources checked - Interpretationown data
The non-monotonic relationship between gap and memory retention generalizes from text recall, object recall, fact recall, and free recall of word lists to associative memory for foreign language vocabulary.
“It appears that the non-monotonic relationship between gap and memory retention generalizes well from text recall (Ausubel), object recall (Childers & Tomasello), fact recall (Edwards), and free recall of word lists (Glenberg & Lehmann) to associative memory for foreign language vocabulary.”
Quote in the paperSubstantial claim0 of 3 sources checked- cites Ausubel
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Childers & Tomasello
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Edwards
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationcitation
The extant data suggest that, with a test delay of at least one day, a gap shorter than one day is reliably less effective than a gap of at least one day.
“Thus, the extant data suggest that a gap of less than one day is reliably less effective than a gap of at least one day, given a test delay of one day or more.”
Quote in the paperSubstantial claim - Interpretationown data
The results confirm the importance of cumulative reviews for promoting retention over meaningful time periods.
“confirm the importance of cumulative reviews to promote retention over meaningful time periods”
Quote in the paperSubstantial claim- Rests on an assumption: The laboratory materials and tasks used in the studies are educationally relevant and representative of real-world learning.
- Rests on an assumption: The test delays used (10 days and 6 months) are educationally meaningful.
- Rests on an assumption: The distributed practice effects observed in these laboratory tasks generalize to real-world educational contexts.
- Premisereasoning
Several studies trained subjects to a performance criterion on Session 2, and the presumed increase in total study time after longer gaps confounds these studies.
“several studies trained subjects to a performance criterion on Session 2, and the presumed increase in total study time after longer gaps confounds these studies”
Quote in the paperSubstantial claim - Premiseown data
Thirteen studies used multiple gaps of one day or more with a fixed test delay of at least one day.
“Thirteen studies satisfy these criteria”
Quote in the paperSubstantial claim - Interpretationreasoning
If distributed practice benefits retention at gaps far exceeding working memory duration, then theories focusing on working memory are incomplete at best.
“If distributed practice benefits retention at gaps far exceeding the amount of time an item remains in working memory, then such theorizing must be incomplete at best.”
Quote in the paperSubstantial claim - Premisecitation
Bahrick et al. (1993) reported that subjects needed twice as many trials in the second study session to reach criterion as gap increased from 14 to 56 days.
“Bahrick et al. (1993) reported that subjects required twice as many trials in the second study session in order to achieve criterion, as gap increased from 14 to 56 days.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Bahrick et al. (1993) source
- Interpretationown data
The best gap grows with the test delay at long delays, just as it does at short delays.
“Just as short-test delay studies have demonstrated that optimal gap increases as test delay increases, these results tentatively indicate that the same holds true at long test delays.”
Quote in the paperSubstantial claim - Interpretationown data
When the test delay exceeds a month, a single-day gap is far from the best choice.
“The six-month test delay experiment presented here suggests that a one-day gap is far from optimal when the test delay is longer than one month.”
Quote in the paperSubstantial claim- Rests on an assumption: The quadratic-in-log-gap function is an adequate description of the relationship between gap and final test score, despite not being theoretically motivated.
- Interpretationown data
A gap that is too short costs much more than a gap that is too long.
“Thus, the penalty for a too-short gap is far greater than the penalty for a too-long gap.”
Quote in the paperSubstantial claim - Study design and conductown data
An ANCOVA that controlled for differences in memory ability produced the same results.
“Even if six-month gap subjects' memory performance was better than their cohorts' memory performance (and our analyses suggest it wasn't), further ANCOVA analysis removed the effects of differential memory ability across subjects and showed the same effects.”
Quote in the paperNot a substantial claim - Interpretationown data
The observed pattern contradicts the idea that the best gap is always a fixed proportion of the test delay.
“These data are at odds with the notion that the optimal gap/test-delay ratio is independent of test delay, as some have speculated (Crowder, 1976;Murray, 1983).”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Crowder, 1976
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Murray, 1983
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Study design and conductown data
The study's conclusions do not rest on the six-month gap group's performance.
“Our conclusions do not depend on performance of the six-month gap group.”
Quote in the paperNot a substantial claim - Interpretationown data
The data imply that to build durable memory efficiently, learning sessions should be separated by months rather than days or weeks.
“To efficiently promote truly longlasting memory, the data presented here suggest that very substantial temporal gaps between learning sessions should be introduced-gaps on the order of months, rather than days or weeks.”
Quote in the paperNot a substantial claim- Rests on an assumption: The quadratic-in-log-gap function is an adequate description of the relationship between gap and final test score, despite not being theoretically motivated.
- Premisereasoning
Prior work had not found an optimal gap longer than one day.
“whereas the optimal gap in previous studies never exceeded one day (Figure 1)”
Quote in the paperSubstantial claim - Premisecitation
A large number of instructional design and educational psychology textbooks do not mention the distributed practice effect at all.
“Failure to consider distributed practice research is evident in instructional design and educational psychology texts, many of which fail even to mention the distributed practice effect”
Quote in the paperSubstantial claim0 of 3 sources checked- cites Bransford, Brown, & Cocking, 2000
- cites Bruning, Schraw, Norby, & Ronning, 2004
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Craig, 1996
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationown data
When test delays are long enough, the best gap is longer than a single day.
“Third, for sufficiently long test delays, the optimal gap exceeds one day, whereas the optimal gap in previous studies never exceeded one day (Figure 1), presumably because the test delays in these studies never exceeded one week.”
Quote in the paperSubstantial claim - Interpretationcitation
The larger best gap in Experiment 2 than in Experiment 1 reflects the longer test delay, not the different materials and procedures.
“However, because previous studies have shown optimal gap invariance using a wide range of materials and procedures, we believe the increase in optimal gap is truly related to increased test delay.”
Quote in the paperSubstantial claim - Premisenone given
The majority of studies indicate that distributed practice helps paired-associate memory.
“Smith and Ragan (1999) incorrectly claim that massed practice benefits association learning, when in fact most studies have shown that distributed practice improves memory for paired associates.”
Quote in the paperSubstantial claim
- May combine two claims. 27
- Classified as probably not a substantial claim. 15
- The quote only partly states this claim. 2
May combine two claims.
PremisecitationIncluding gaps of at least one day ensures the range includes at least one night of sleep, which may play a significant role in memory retention.
“Including gaps of at least one day insures that the range includes at least one night of sleep, which may play a significant role in memory retention”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Peigneux, Laureys, Delbeuck, & Maquet, 2001 source
The indexed copy returns a repository listing and bibliography, but no passage from the paper’s body addressing whether a night of sleep aids memory retention. Searches for post-training sleep, overnight consolidation, and memory retention found no usable body-text passage; the repository abstract is not evidence under this rubric. (LLM, conf=0.70)
Experimental — accuracy not yet measured
Probably not a substantial claim: may not pass S1 (asserted), S3 (load-bearing).
PremisecitationPrevious authors have suggested that test accuracy might follow an inverted U-function of gap.
“The possibility that test accuracy might follow an inverted U-function of gap has been suggested by previous authors”
Quote in the paperNot a substantial claim1 of 3 sources checked- cites Balota, Duchek & Paullin, 1989
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Glenberg, 1976 source
- cites Glenberg & Lehmann, 1980 source
The Abstract and General Discussion (pages unavailable in our copy) say that recall varies with the gap between repetitions. They describe a proportionality rule: recall increases with spacing when the retention interval is relatively long, but decreases with spacing when it is relatively short. They do not suggest an inverted-U curve with a peak at an intermediate gap. (LLM, conf=0.82)
Experimental — accuracy not yet measured
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationDistributed practice research has had little effect on educational practice.
“area has had little effect on educational practice (Dempster, 1988(Dempster, , 1989;;Pashler, Rohrer, Cepeda, & Carpenter, 2007).”
Quote in the paperNot a substantial claim3 of 3 sources checked- cites Dempster, 1988 source
The cited DOI identifies a horticulture paper, not an education paper, and it is not indexed in Semantic Scholar; its text and abstract were unavailable for verification. A snippet from “Beyond Time-on-Task: The Relationship Between Spaced Study and Certification in MOOCs” says the spacing effect was slow to enter educational practice and cites a Dempster (1988) work, suggesting the citing document may have linked to the wrong Dempster paper. That secondary snippet does not establish that the horticulture paper makes the claim, but the unavailable source text also prevents the definitive check required for a misattribution verdict. (LLM, conf=0.78)
Experimental — accuracy not yet measured - cites Dempster, 1989 source
The supplied DOI identifies Dempster’s *Theory and Applications of Belief Functions*, a different topic from distributed practice; two searches within that paper returned no snippets supporting the claim. An unscoped snippet in *Beyond Time-on-Task: The Relationship Between Spaced Study and Certification in MOOCs* says the spacing effect was slow to enter educational practice and attributes that observation to Dempster (1988), but its score is only 0.517. This suggests the supplied source is a bibliographic mismatch, but the available evidence does not establish the intended work strongly enough for a misattribution verdict under the specified threshold. (LLM, conf=0.72)
Experimental — accuracy not yet measured - cites Pashler, Rohrer, Cepeda, & Carpenter, 2007 source
May combine two claims.
PremisecitationWelborn (1933) used a 28-day test delay but omitted feedback from Session 2, implying the second session probably provided no opportunity to learn items not learned in Session 1.
“Welborn (1933) used a 28-day test delay, but also omitted feedback from Session 2, implying that the second session probably provided no opportunity for learning those items not learned during Session 1”
Quote in the paperSubstantial claim1 of 2 sources checked- cites Welborn (1933)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Pashler, Cepeda, Wixted, & Rohrer, 2005 source
The Materials and stimuli section says this paper’s own Session 2 occurred about one week later and gave no feedback. Searches for Welborn, 1933, and a 28-day delay found no passage describing Welborn’s study or supporting the inference about its second session. (LLM, conf=0.75)
Experimental — accuracy not yet measured
May combine two claims.
PremisecitationThe literature contains no studies supporting the idea that distributed practice aids concept learning, and recent work by the authors does not support it either.
“Additionally, Gagné et al. state that distributed practice improves concept learning but we have found no existing studies in the literature that support this claim, and our recent studies fail to support this claim (Pashler, Rohrer, Cepeda, & Carpenter, 2007).”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Pashler, Rohrer, Cepeda, & Carpenter, 2007 source
The section “Spacing in perceptual categorization learning” reports no spacing benefit in the authors’ recent categorization studies, supporting that part of the claim. It says this task is “almost absent” from the spacing literature, not that no existing study supports distributed practice for concept learning. The paper also reports a spacing benefit for learning a mathematical principle, so its negative finding should not be generalized to all concept learning. (LLM, conf=0.85)
Experimental — accuracy not yet measured
May combine two claims.
Findingown dataIn two three-session laboratory studies, an optimal gap improved final recall by up to 150%.
“An optimal gap improved final recall by up to 150%.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataIn Experiment 1, Tukey HSD tests showed the zero-day gap produced significantly worse recall than the 1-, 2-, 4-, and 7-day gaps, with no other pairwise comparisons significant.
“Tukey HSD tests show that the zero-day gap produced significantly worse recall than the 1, 2, 4, and 7-day gaps; no other pair-wise comparisons were significant.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataIn Experiment 2, performance on the third and final test of Session 1 showed no main effect or interaction involving gap, although facts showed slightly greater learning than pictures (94 vs 90%), F(1,155)=10.3, p<.005.
“Likewise, performance on the third and final test of Session 1 showed no main effect or interaction involving gap, although facts showed slightly greater learning than pictures (94 vs. 90%), F(1,155) = 10.3, p < .005.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataThe six-month gap results agree in kind and magnitude with the three-month gap results and with prior literature.
“The data from this group are qualitatively and quantitatively consistent with the three-month gap data and the literature more broadly.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataFor delays of minutes, the best gap is nearly equal to the delay; for delays of many days, it is about one-tenth of the delay.
“At very short test delays, on the order of minutes, the ratio is close to 1.0; at multiday test delays, the ratio is closer to 0.1.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataIn Experiment 2, the 28-day gap produced 151% greater retention than the 0-day gap, whereas the 1-day gap produced only an 18% improvement over the 0-day gap.
“the 28-day gap produced 151% greater retention than the 0-day gap, whereas the 1day gap produced only an 18% improvement over the 0-day gap.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataGap had nonmonotonic effects on final recall even when test delays exceeded one week; accuracy rose and then fell as gap grew.
“Second, gap had nonmonotonic effects on final recall even with test delays longer than a week; accuracy first increased and then decreased as gap increased.”
- Also stated in: § INSERT FIGURE 5 ABOUT HERE · boosted
“Studyphase retrieval theories predict -and our data show -an inverted-U shaped function of gap on performance following a test delay.”
Quote in the paperSubstantial claim- Also stated in: § INSERT FIGURE 5 ABOUT HERE · boosted
May combine two claims.
Findingown dataIn Experiment 2, first-test accuracy ranged from 75-82% by gap for facts and 45-64% by gap for objects.
“First-test accuracy ranged from 75 -82% by gap for facts and from 45 -64% by gap for objects.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataFitting the quadratic function of log gap yielded best scores of 71%, 52%, and 21% and best gaps of 3.7, 25.6, and 37.1 days for Experiment 1, Experiment 2 facts, and Experiment 2 objects, in that order.
“Fits of this function to the data in Experiments 1, 2 (facts), and 2 (objects) produced optimal test scores of 71%, 52%, and 21%, respectively, and optimal gaps of 3.7, 25.6, and 37.1 days, respectively.”
Quote in the paperSubstantial claim- Rests on an assumption: The quadratic-in-log-gap function is an adequate description of the relationship between gap and final test score, despite not being theoretically motivated.
May combine two claims.
Findingown dataIn Experiment 2, there were main effects of gap, F(5,155)=8.3, p<.001, and material, F(1,155)=502.2, p<.001, and an interaction between gap and material, F(5,155)=4.6, p<.005.
“There were main effects of gap, F(5,155) = 8.3, p < .001,and material, F(1,155) = 502.2,p < .001,and an interaction between gap and material, F(5,155) = 4.6, p < .005.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
InterpretationreasoningThose four studies suggest that a gap of roughly one day is optimal, but they do not demonstrate this with much certainty, especially given the restricted test delays.
“These studies suggest that a gap of roughly one day is optimal, but they hardly demonstrate this claim with any certainty, especially given the restricted set of test delays used.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim. May combine two claims.
Study design and conductreasoningIn Experiment 1, subjects were not taught to criterion in the second learning session because doing so would confound gap with number of trials.
“(Subjects were not taught to criterion in the second learning session, as they were in the first, because that would have confounded gap and the number of trials required during the second session, as explained in the Introduction.)”
Quote in the paperSubstantial claimMay combine two claims.
PremisereasoningFew data address retention overnight, much less over weeks or months.
“Few data speak to retention overnight, much less over weeks or months.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Study design and conductown dataIn Experiment 1, subjects were randomly assigned to one of six gap conditions.
“Subjects were randomly assigned to one of six conditions (0, 1, 2, 4, 7, or 14 day gap).”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based).
Premisenone givenNo one has quantitatively characterized distributed practice functions over intervals much longer than a day.
“Because no one has quantitatively characterized the nature of distributed practice functions over time intervals much beyond a day”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
Premisenone givenLittle is known about how the distributed practice effect develops over long, nontrivial intervals.
“yet little is known about how this socalled distributed practice effect unfolds over nontrivial periods”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThe current results and prior work support the possibility that the best gap grows with the test delay but becomes a smaller share of it.
“Instead, the present findings, in conjunction with the literature, are consistent with the possibility that the optimal gap increases with test delay, albeit as a declining proportion of test delay.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Study design and conductown dataIn Experiment 2, items answered correctly during the pretest were excluded from analysis, leading to exclusion of less than 1% of items on average.
“For each subject, items that were answered correctly during the pretest were excluded from analysis of their data, leading to the exclusion of less than one percent of items, on average.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationown dataThe results demonstrate that a one-day gap is not always optimal, since zero- and one-day gaps were not significantly different, and recall was significantly worse for one-day versus 28-day gaps.
“Quite dramatically, this demonstrates that a one-day gap is not always optimal, since zero-and one-day gaps were not significantly different, and recall was significantly worse for one-day versus 28-day gaps.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S1 (asserted).
InterpretationreasoningBecause the four prior studies and Experiment 1 used approximately equal test delays, a much longer test delay might yield an optimal gap other than one day.
“However, because these four studies and Experiment 1 used approximately equal test delays, the possibility remains that a much longer test delay would yield an optimal gap other than one day.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Study design and conductown dataIn Experiment 2, dropout rates did not vary across conditions except that the six-month gap condition had fewer subjects.
“Table 2 shows fewer subjects in the six-month gap condition, partly due to the increased difficulty maintaining contact with these subjects; otherwise, dropout rates did not vary across conditions.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductown dataOn many demographic measures, the six-month gap participants matched the other participants.
“Subjects in the six-month gap condition were equivalent to other subjects on a wide range of demographic measures.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationUsing massed practice and overlearning wastes time.
“Morrison et al. (2001) suggest writing facts over and over to learn them; this prescription for massed practice and overlearning is a highly inefficient use of time (Rohrer, Taylor, Pashler, Wixted, & Cepeda, 2005).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Rohrer, Taylor, Pashler, Wixted, & Cepeda, 2005
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim. May combine two claims.
PremisecitationWhen textbooks do mention distributed practice, they usually give it a paragraph or less and make inconsistent, frequently wrong recommendations about spacing.
“Those texts that mention the distributed practice effect often devote a paragraph or less to the topic”
- Also stated in: § Practical Implications · plain
“and offer widely divergent suggestionsmany incorrect -about how long the lag between study sessions ought to be”
Quote in the paperSubstantial claim0 of 3 sources checked- cites Glaser, 2000
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Jensen, 1998
- cites Ormrod, 1998
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Also stated in: § Practical Implications · plain
May combine two claims.
Interpretationown dataThe results suggest that the 28-day gap was optimal and support a claim that final-test recall gradually declines with too-long gaps.
“This suggests that the 28day gap was optimal and supports a claim that final-test recall gradually declines with too-long gaps.”
Quote in the paperSubstantial claimThe quote only partly states this claim.
Study design and conductown dataIn Experiment 2, pilot testing confirmed that the multiple-choice options were about equally likely to be chosen by subjects with no prior knowledge of the fact or object.
“Pilot testing confirmed that the options in the multiple-choice test were about equally likely to be chosen by subjects with no previous knowledge of the fact or object.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
Study design and conductown dataIn Experiment 2, subjects were randomly assigned to one of six gap conditions.
“Subjects were randomly assigned to one of six conditions (0, 1, 7, 28, 84, or 168 day gap).”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). The quote only partly states this claim.
Study design and conductnone givenIn Experiment 2, all coding was done blind to experimental condition.
“All coding was done blind to experimental condition.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationown dataThe interaction between gap and material likely reflects different degrees of improvement relative to baseline for fact versus visual object materials, with no obvious qualitative differences.
“The interaction between gap and material likely reflects the different degrees of improvement, relative to baseline, for fact versus visual object materials; there are no obvious qualitative differences in the results.”
Quote in the paperNot a substantial claimMay combine two claims.
Study design and conductown dataIn Experiment 2, pilot data suggested Swahili-English word pairs would produce floor effects after a 6-month delay, so the authors chose material shown to produce lesser forgetting.
“Because pilot data suggested that Swahili-English word pairs (which were used in Experiment 1) would produce floor effects after a 6-month test delay, we chose material that was shown to produce lesser rates of forgetting.”
Quote in the paperSubstantial claim- Rests on an assumption: The material chosen for Experiment 2 produces lesser rates of forgetting than Swahili-English word pairs.
May combine two claims.
PremisecitationA published encoding variability model and the authors' preliminary modeling both support encoding variability theory.
“Both a published encoding variability model (Raaijmakers, 2003) and our own preliminary modeling efforts (Mozer, Cepeda, Pashler, Wixted, & Cepeda, 2008) lend support to this theory.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Raaijmakers, 2003
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Mozer, Cepeda, Pashler, Wixted, & Cepeda, 2008
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Study design and conductown dataWith only a limited set of gaps tested, the actual best gap could differ slightly from the observed one, leaving the data unable to confirm or deny a further decline in the ratio for multi-day delays.
“Because we only used a limited range of gaps in the present studies, and the true optimal gap in each of our studies might be slightly shorter or longer than the observed optimal gap, our current data neither support nor refute the existence of a further decreasing ratio, within the multi-day test delay period.”
Quote in the paperNot a substantial claim
The paper relies on this without support.
The laboratory materials and tasks used in the studies are educationally relevant and representative of real-world learning.
“The material was again educationally relevant: Not-well-known facts and names of unfamiliar visually presented objects.”
The paper relies on this without support.
The test delays used (10 days and 6 months) are educationally meaningful.
“when the retention interval was educationally meaningful.”
The paper relies on this without support.
The distributed practice effects observed in these laboratory tasks generalize to real-world educational contexts.
“confirm the importance of cumulative reviews to promote retention over meaningful time periods”
The paper relies on this without support.
The material chosen for Experiment 2 produces lesser rates of forgetting than Swahili-English word pairs.
“we chose material that was shown to produce lesser rates of forgetting.”
The paper relies on this without support.
The facts and objects used in Experiment 2 are not well-known to the subjects.
“a list of 23 notwell-known facts was assembled”
The paper relies on this without support.
The simulated classroom setting is representative of actual classroom learning.
“The experiment was conducted in a simulated classroom setting in a windowless room.”
The paper relies on this without support.
The quadratic-in-log-gap function is an adequate description of the relationship between gap and final test score, despite not being theoretically motivated.
“Although this function is not theoretically motivated, its parameters are meaningful.”
The authors state this as an assumption.
The findings will generalize to classroom settings, at least for learning 'cut and dry' material.
“If these findings generalize to a classroom setting -and we expect they will, at least with regard to learning”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
There is evidence from lab experiments with just one re-exposure that the optimal interstudy interval depends on the retention interval.
“Also, there is evidence from lab experiments with just one re-exposure that the optimal interstudy interval depends on the retention interval (Cepeda et al., 2009).”
From The Distributed Practice Effect on Classroom Learning: A Meta-Analytic Review of Applied Research (2025) · cites this paper as Cepeda et al., 2009
Reactivation of memory traces may constitute an additional temporal substrate that underlies the longest reported effective intervals, on the order of a week.
“Reactivation of memory traces may constitute an additional temporal substrate that underlies the longest reported effective intervals, on the order of a week71.”
From The right time to learn: Mechanisms and optimization of spaced learning (2016) · cites this paper as [71]
For verbal learning with a retention interval of 6 months, a training interval of 7 days was superior to an interval of 3 days.
“For verbal learning with a retention interval of 6 months, a training interval of 7 days was superior to an interval of 3 days71.”
From The right time to learn: Mechanisms and optimization of spaced learning (2016) · cites this paper as [71]
In human verbal learning, a positive correlation exists between the length of inter-trial intervals for effective spaced learning and the retention interval.
“For example, in human verbal learning, an interesting positive correlation exists between the length of inter-trial intervals for effective spaced learning and the retention interval (that is, the interval between the final training trial and the test of memory retention).”
From The right time to learn: Mechanisms and optimization of spaced learning (2016) · cites this paper as [71]
In humans, a number of cognitive models have been proposed to explain the superiority of spaced training or practice, but no consensus has emerged as to their usefulness or generality.
“In humans, a number of cognitive models have been proposed to explain the superiority of spaced training or practice1,30, but no consensus has emerged as to their usefulness or generality31.”
From Computational design of enhanced learning protocols (2012) · cites this paper as [31]
Statistics recomputed
Every reported test result, recomputed from its test statistic and degrees of freedom. A result shows as not adding up only once an independent check has confirmed it.
- ConsistentF(5, 176) = 3.7reported p < .005 · recomputed p = .003
“F(5,176) = 3.7, p < .005”
- ConsistentF(1, 155) = 254.9reported p < .001 · recomputed p < .001
“F(1,155) = 254.9,p < .001”
- ConsistentF(1, 155) = 10.3reported p < .005 · recomputed p = .002
“F(1,155) = 10.3, p < .005”
- ConsistentF(5, 155) = 8.3reported p < .001 · recomputed p < .001
“F(5,155) = 8.3, p < .001”
- ConsistentF(1, 155) = 502.2reported p < .001 · recomputed p < .001
“F(1,155) = 502.2,p < .001”
- ConsistentF(5, 155) = 4.6reported p < .005 · recomputed p < .001
“F(5,155) = 4.6, p < .005”
- ConsistentF(5, 155) = 4.9reported p < .001 · recomputed p < .001
“F(5,155) = 4.9, p < .001”
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Conflicting changes for the 28-to-168-day gap comparison
MinorTable 3 reports a −4.8-point change from 28 to 168 days, but its intervening changes sum to −9.7 points (within rounding of the table's other reported value, −9.8). The table also gives two different effect sizes for the same comparison.
Reported -4.8 · recomputed -9.7
“28 84 -0.57-11.3 84 168 0.08 1.6 28 168 -0.25 -4.8 0 28 1.56 25.5 28 168 0.51 -9.8”
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Self-citationCarpenter, S. K., Cepeda, N. J., Rohrer, D., Kang, S. H. K., & Pashler, H. (2012) · Educational Psychology Review · doi:10.1007/s10648-012-9205-z · Cited by 469 · see citing works
“However, reviews of the literature on spacing have revealed that an increase in the duration of the spacing gap does not always produce superior memory retention (e.g., Cepeda et al., 2009; Cepeda et al., 2006; Donovan & Radosevich, 1999; Glenberg, 1976; Verkoeijen, Rikers, & Özsoy, 2008).”
BackgroundSelf-citationSpaced Repetition Promotes Efficient and Effective Learning: Policy Implications for Instruction
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“This phenomenon is called the spacing effect (sometimes also referred to as the benefit of distributed practice) and was first observed by researchers over a century ago (Ebbinghaus, 1885/1913).”
BackgroundGreater Neural Pattern Similarity Across Repetitions Is Associated with Better Memory
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“Personalized and profession-oriented production, recommendation, and maintenance of contents [51], [23], [22], [20] .”
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“A similar reversal is sometimes caused by spacing (e.g., Bregman, 1967; Cepeda et al., 2009; Landauer & Bjork, 1978).”
BackgroundResultSelf-citation(2010) · Psychology of Learning and Motivation · doi:10.1016/s0079-7421(10)53003-2 · Cited by 255 · see citing works
“…the nonmonotonic relationships between spacing interval and retention interval which are observed in cued-recall tasks at very long delays (see Cepeda et al., 2009; 2006; Cepeda, Vul, Rohrer, Wixted, & Pashler, 2008), because it predicts that memory performance should increase with spacing…”
BackgroundInterleaving Helps Students Distinguish among Similar Concepts
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“The spacing effect has been demonstrated in hundreds of studies, including ones with learningmaterials drawn from the classroom (e.g., Austin 1921; Bahrick and Phelps 1987; Bird 2010; Bloom and Shuell 1981; Carpenter et al. 2009; Cepeda et al. 2009; Reynolds and Glaser 1964; Metcalfe et al. 2007; Seabrook et al. 2005).”
BackgroundSelf-citationSpacing effects in real‐world classroom vocabulary learning
Sobel, H. S., Cepeda, N. J., & Kapler, I. V. (2011) · Applied Cognitive Psychology · doi:10.1002/acp.1747 · Cited by 183 · see citing works
Self-citationNakata, T. (2015) · Studies in Second Language Acquisition · doi:10.1017/s0272263114000825 · Cited by 179 · see citing works
“In other words, although an ISI of 1 day may be significantly more effective than an ISI of 5 min (Cepeda et al., 2009 ), for instance, there may be only a small difference between the effects of 5-min and 10-min ISIs (see Crothers & Suppes, 1967 ; Logan & Balota, 2008 ; Pyc & Rawson, 2007 , for…”
BackgroundResultInfluentialUllman, M. T., & Lovelett, J. T. (2016) · Second language Research · doi:10.1177/0267658316675195 · Cited by 157 · see citing works
“…retention for a week requires the sessions to be spaced apart by about 20 to 40% of this period (about 2 days), whereas the optimal gap for maximizing retention for a year requires sessions to be spaced apart by only about 5%–10% of this period (about 25 days) (Cepeda et al., 2008, 2009).”
BackgroundIncreasing Retention Without Increasing Study Time
Rohrer, D., & Pashler, H. (2007) · Current Directions in Psychological Science · doi:10.1111/j.1467-8721.2007.00500.x · Cited by 153 · see citing works
Self-citationLearning from feedback: Spacing and the delay–retention effect.
Smith, T. A., & Kimball, D. R. (2010) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/a0017407 · Cited by 123 · see citing works
“According to theories of spacing effects, the inverted-U shape of the lag effect curve results from the composition of a forgetting function with a response strengthening function (Cepeda et al., 2009).”
BackgroundEffects of distributed practice on the acquisition of second language English syntax
BIRD, S. (2010) · Applied Psycholinguistics · doi:10.1017/s0142716410000172 · Cited by 117 · see citing works
The Effects of Spaced Practice on Second Language Learning: A Meta‐Analysis
Kim, S. K., & Webb, S. (2022) · Language Learning · doi:10.1111/lang.12479 · Cited by 119 · see citing works
Conceptualising spaced learning in health professions education: A scoping review
Versteeg, M., Hendriks, R. A., Thomas, A., Ommering, B. W. C., & Steendijk, P. (2020) · Medical Education · doi:10.1111/medu.14025 · Cited by 107 · see citing works
Toppino, T. C., & Gerbier, É. (2013) · The Psychology of learning and motivation/The psychology of learning and motivation · doi:10.1016/b978-0-12-800090-8.00004-4 · Cited by 116 · see citing works
The effect of distributed practice: Neuroscience, cognition, and education
Gerbier, É., & Toppino, T. C. (2015) · Trends in Neuroscience and Education · doi:10.1016/j.tine.2015.01.001 · Cited by 108 · see citing works
Rosenbaum, R. S., Kim, A. S. N., & Baker, S. (2017) · Elsevier eBooks · doi:10.1016/b978-0-12-809324-5.21037-7 · Cited by 109 · see citing works
Making long-term memories in minutes: a spaced learning pattern from memory research in education
Kelley, P., & Whatson, T. S. (2013) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2013.00589 · Cited by 106 · see citing works
“Despite recent careful analysis of the temporal patterns demonstrating effective recall of word pairs and other tasks (Cepeda et al., 2006; Pavlik and Anderson, 2008; Cepeda et al., 2009) and despite specific programmes based on the approach (Carpenter et al.”
BackgroundMethodKapler, I. V., Weston, T., & Wiseheart, M. (2015) · Learning and Instruction · doi:10.1016/j.learninstruc.2014.11.001 · Cited by 101 · see citing works
Student Instruction Should Be Distributed Over Long Time Periods
Rohrer, D. (2015) · Educational Psychology Review · doi:10.1007/s10648-015-9332-4 · Cited by 97 · see citing works
Self-citationLyle, K. B., Bego, C. R., Hopkins, R. F., Hieb, J. L., & Ralston, P. A. S. (2020) · Educational Psychology Review · doi:10.1007/s10648-019-09489-x · Cited by 103 · see citing works
Nakata, T. (2016) · Studies in Second Language Acquisition · doi:10.1017/s0272263116000280 · Cited by 103 · see citing works
“Previous research on the distributed practice effect suggests that short spacing tends to be effective at a short retention interval, whereas long spacing tends to be effective at a long retention interval (e.g., Bird, 2010; Cepeda et al., 2006, 2009).”
BackgroundInfluentialA Meta-Analytic Review of the Benefit of Spacing out Retrieval Practice Episodes on Retention
Latimier, A., Peyre, H., & Ramus, F. (2021) · Educational Psychology Review · doi:10.1007/s10648-020-09572-8 · Cited by 96 · see citing works
“…between study episodes promotes better retention than massed practice (i.e., study episodes occurring in one single session without inter-study intervals) and optimally counteract forgetting by improving the consolidation of newly learned information (Cepeda et al., 2009; McDaniel et al., 2013b).”
BackgroundRetrieval practice over the long term: Should spacing be expanding or equal-interval?
Kang, S. H. K., Lindsey, R. V., Mozer, M. C., & Pashler, H. (2014) · Psychonomic Bulletin & Review · doi:10.3758/s13423-014-0636-z · Cited by 90 · see citing works
Self-citationEffects of distributed practice on the proceduralization of morphology
Suzuki, Y., & DEKEYSER, R. M. (2015) · Language Teaching Research · doi:10.1177/1362168815617334 · Cited by 85 · see citing works
DOES STUDYING VOCABULARY IN SMALLER SETS INCREASE LEARNING?
Nakata, T., & Webb, S. (2015) · Studies in Second Language Acquisition · doi:10.1017/s0272263115000236 · Cited by 82 · see citing works
“…generally leads to better long-term retention than shorter spacing (e.g., Bahrick & Phelps, 1987 ; Cepeda, Vul, Rohrer, Wixted, & Pashler, 2008 ; Cepeda et al., 2009 ; Karpicke & Bauernschmidt, 2011 ; Kornell, 2009 ; Metcalfe, Kornell, & Finn, 2009 ; Pashler, Zarow, & Triplett, 2003 ; Pyc &…”
BackgroundResultInfluentialUsing Testing as a Learning Tool
Yang, B. W., Razo, J. F., & Persky, A. M. (2019) · American Journal of Pharmaceutical Education · doi:10.5688/ajpe7324 · Cited by 83 · see citing works
“For longer-term retention of information, research has shown the longer intervals between sessions tend to be more effective than shorter intervals.(46,51,52) Other evidence suggests that the spacing interval should be 10% to 20% of the desired retention interval.”
BackgroundComputational design of enhanced learning protocols
Zhang, Y., Liu, R.-Y., Heberton, G. A., Smolen, P., Baxter, D. A., Cleary, L. J., & Byrne, J. H. (2012) · Nature Neuroscience · doi:10.1038/nn.2990 · Cited by 80 · see citing works
“In humans, a number of cognitive models have been proposed to explain the superiority of spaced training or practice 1,30 , but no consensus has emerged as to their usefulness or generality 31 .”
BackgroundEvidence‐based teaching: Tools and techniques that promote learning in the psychology classroom
Dunn, D. S., Saville, B. K., Baker, S. C., & Marek, P. (2013) · Australian Journal of Psychology · doi:10.1111/ajpy.12004 · Cited by 78 · see citing works
“Cepeda et al. (2009) suggested that the time between distributed study sessions that was associated with the best test performance seemed to increase as the time between the final study session and the test increased.”
BackgroundComparison of rest‐break interventions during a mentally demanding task
Blasche, G., Szabo, B., Wagner‐Menghin, M., Ekmekcioglu, C., & Gollner, E. (2018) · Stress and Health · doi:10.1002/smi.2830 · Cited by 75 · see citing works
“Additional effects of rest breaks include an improvement of learning and retention (Cepeda et al., 2009; Donovan & Radosevich, 1999) and an enhancement of problem solving (Sio & Ormerod, 2009), as well as a reduction of physical discomfort (Barredo & Mahon, 2007).”
BackgroundSpacing Repetitions Over Long Timescales: A Review and a Reconsolidation Explanation
Smith, C., & Scarf, D. (2017) · Frontiers in Psychology · doi:10.3389/fpsyg.2017.00962 · Cited by 79 · see citing works
“Consistent with retrieval being more difficult, many studies of the spacing effect in language-related tasks observe that at the time of the repetition performance is worse for the spaced group than the massed group (Bjork and Allen, 1970; Glenberg, 1976; Cepeda et al., 2009).”
BackgroundResultSpaced Noninvasive Brain Stimulation
Goldsworthy, M. R., Pitcher, J. B., & Ridding, M. C. (2014) · Neurorehabilitation and neural repair · doi:10.1177/1545968314562649 · Cited by 74 · see citing works
“This nonmonotonic relationship between spacing interval and the magnitude and duration of induced aftereffects is similar to that reported in animal models investigating late-phase LTP(24) and is also consistent with behavioral findings in studies investigating spaced learning and long-term memory.(60,71,72) Second, i…”
ResultJones, C. D., Clark, S., & Reutzel, D. R. (2012) · Early Childhood Education Journal · doi:10.1007/s10643-012-0534-9 · Cited by 73 · see citing works
“Research on mastery of item sets such as AK has shown that instructional review cycles should take place between 10 and 20 % of the total time period for which an item is to be remembered (Cepeda et al. 2009; Rohrer and Pashler 2010).”
Carvalho, P. F., & Goldstone, R. L. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.00505 · Cited by 69 · see citing works
“For instance, imagine that learners were given the task of learning categories A, B and C, each composed of several items (A1, A2, B1, and so on).”
BackgroundMethodA comparative analysis of massed vs. distributed practice on basic math fact fluency growth rates
Schutte, G. M., Duhon, G. J., Solomon, B. G., Poncy, B. C., Moore, K., & Story, B. (2015) · Journal of School Psychology · doi:10.1016/j.jsp.2014.12.003 · Cited by 70 · see citing works
Age/order of acquisition effects and the cumulative learning of foreign words: A word training study
Izura, C., Sánchez, M. Á. P., Agallou, E., Wright, V. C., Marín, J., Stadthagen-González, H., & Ellis, A. W. (2010) · Journal of Memory and Language · doi:10.1016/j.jml.2010.09.002 · Cited by 68 · see citing works
“Could age/order of acquisition effects be explained in terms of differences in the temporal distribution of training on early versus late items? Unfortunately, relating OoA effects to the issue of massed versus distributed practice is complicated by the fact that, as Cepeda et al. (2006) observed, the vast majority of…”
BackgroundSuzuki, Y. (2017) · Language Learning · doi:10.1111/lang.12236 · Cited by 63 · see citing works
Kuepper-Tetzel, C. E., Kapler, I. V., & Wiseheart, M. (2014) · Memory & Cognition · doi:10.3758/s13421-014-0394-1 · Cited by 62 · see citing works
Improving Learning Efficiency of Factual Knowledge in Medical Education
Yeh, D. D., & Park, Y. S. (2015) · Journal of surgical education · doi:10.1016/j.jsurg.2015.03.012 · Cited by 62 · see citing works
The lag effect in secondary school classrooms: Enhancing students’ memory for vocabulary
Kuepper-Tetzel, C. E., Erdfelder, E., & Dickhäuser, O. (2013) · Instructional Science · doi:10.1007/s11251-013-9285-2 · Cited by 60 · see citing works
The spacing effect stands up to big data
Kim, A.-L. S., Wong-Kee-You, A., Wiseheart, M., & Rosenbaum, R. S. (2019) · Behavior Research Methods · doi:10.3758/s13428-018-1184-7 · Cited by 59 · see citing works
Nakata, T. (2014) · Language Teaching Research · doi:10.1177/1362168814541721 · Cited by 57 · see citing works
“, Cepeda et al., 2008; Metcalfe et al., 2009; Rohrer et al., 2005). Feedback timing was confounded with lag to test in other existing studies as well (e.g., Kulhavy & Anderson, 1972; O’Neill, Rasor, & Bartz, 1976; Swindell & Walls, 1993). Third, as described above, Metcalfe et al. (2009) observe that delayed feedback…”
BackgroundCannon‐Bowers, J. A., Bowers, C. A., & Procci, K. (2010) · Surgical Clinics of North America · doi:10.1016/j.suc.2010.02.006 · Cited by 56 · see citing works
“A well-developed body of literature suggests that spaced practice is superior over massed practice for long-term retention.(26,27,28) A meta-analysis conducted by Cepeda and colleagues(29) found that performance using spaced as opposed to”
BackgroundEffects of interleaved and blocked study on delayed test of category learning generalization
Carvalho, P. F., & Goldstone, R. L. (2014) · Frontiers in Psychology · doi:10.3389/fpsyg.2014.00936 · Cited by 53 · see citing works
“…between verbatim repetitions during study confers significant mnemonic benefits (Glenberg, 1976; Glenberg and Lehmann, 1980; Pashler et al., 2007; Cepeda et al., 2009; Delaney et al., 2010) and it has been proposed that interleaved study benefits for learning are at least in part due to the…”
BackgroundInfluentialLearning Second Language Syntax Under Massed and Distributed Conditions
Rogers, J. (2015) · TESOL Quarterly · doi:10.1002/tesq.252 · Cited by 53 · see citing works
Dignam, J. K., Rodriguez, A. D., & Copland, D. A. (2015) · PM&R · doi:10.1016/j.pmrj.2015.06.010 · Cited by 54 · see citing works
“In a meta-analysis of the verbal learning literature conducted by Cepeda et al [12] it was found that of 271 comparisons between massed versus distributed learning schedules, only 12 comparisons showed no effect or reduced performance for a distributed practice schedule.”
BackgroundMikula, B. D., & Heckler, A. F. (2017) · Physical Review Physics Education Research · doi:10.1103/physrevphyseducres.13.010122 · Cited by 53 · see citing works
Text entry using five to seven physical keys
Lockerman, E., Wu, S., Rao, A., et al. (2017) · Proceedings/Proceedings -- IEEE Symposium on Visual Languages and Human-Centric Computing · doi:10.1109/vlhcc.2017.8103481 · Cited by 49 · see citing works
“We ran a between-subjects longitudinal study, where each participant was assigned to one layout, and had 4 one-hour sessions separated by 24 to 48 hours since using a separation between 1 and 2 days has been shown to support learning over the course of a week [21].”
MethodLong-term memory. sleep, and the spacing effect
Bell, M. C., Kawadri, N., Simone, P. M., & Wiseheart, M. (2014) · Memory · doi:10.1080/09658211.2013.778294 · Cited by 47 · see citing works
Walsh, M. M., Gluck, K. A., Glenn Gunzelmann, A., Jastrzembski, T. S., & Krusmark, M. (2018) · Cognitive Science · doi:10.1111/cogs.12602 · Cited by 45 · see citing works
“Cepeda et al. (2009) demonstrated a non-monotonic effect of ISI in two experiments.”
BackgroundThe Spacing Principle for Unlearning Abnormal Neuronal Synchrony
Popovych, O. V., Xenakis, M. N., & Tass, P. A. (2015) · PLoS ONE · doi:10.1371/journal.pone.0117205 · Cited by 48 · see citing works
“As known from pioneering studies on retrieving memories [29], experimental studies in several species addressing various aspects ranging from behavior to the underlying biochemical machinery [30–34], functional magnetic resonance imaging (fMRI) studies on face recognition [35], studies on recall of word pairs and othe…”
BackgroundDivided attention: An undesirable difficulty in memory retention
Gaspelin, N., Ruthruff, E. D., & Pashler, H. (2013) · Memory & Cognition · doi:10.3758/s13421-013-0326-5 · Cited by 44 · see citing works
“The spacing effect is the most commonly cited desirable difficulty (Bjork & Allen, 1970; Cepeda et al., 2009; Cepeda, Pashler, Vul, Wixted, & Rohrer, 2006).”
BackgroundResultInfluentialSelf-citationA Covid-19 e a volta às aulas: ouvindo as evidências
Oliveira, J. B. A. E., Gomes, M., & Barcellos, T. (2020) · Ensaio Avaliação e Políticas Públicas em Educação · doi:10.1590/s0104-40362020002802885 · Cited by 58 · see citing works
Jones, C. D., & Reutzel, D. R. (2012) · Reading Psychology · doi:10.1080/02702711.2010.545260 · Cited by 44 · see citing works
“Recent research on instructional pacing has identified the law of 10/20 for optimal review cycle for memory set items such as AK (Cepeda et al., 2009; Cepeda, Vul, Rohrer, Wixted, & Pahsler, 2008; Pashler et al., 2007; Rohrer & Pashler, 2010).”
BackgroundExploring the learning burden and decay of foreign language vocabulary knowledge
Barclay, S., & Pellicer‐Sánchez, A. (2021) · ITL Review of Applied Linguistics · doi:10.1075/itl.20011.bar · Cited by 42 · see citing works
“This one-day between-session interval was chosen as it has been shown to facilitate retention (Cepeda et al., 2009; Dumay & Gaskell, 2007).”
MethodKwon, Y. H., Kwon, J. W., & Lee, M.-H. (2015) · Journal of Physical Therapy Science · doi:10.1589/jpts.27.769 · Cited by 40 · see citing works
Input spacing and the learning of L2 vocabulary in a classroom context
Rogers, J., & Cheung, A. (2018) · Language Teaching Research · doi:10.1177/1362168818805251 · Cited by 43 · see citing works
Linares, R., Borella, E., Lechuga, M. T., Carretti, B., & Pelegrina, S. (2019) · PLOS ONE · doi:10.1371/journal.pone.0211321 · Cited by 38 · see citing works
The Influence of a Brief Mindfulness Exercise on Encoding of Novel Words in Female College Students
Bonamo, K. K., Legerski, J., & Thomas, K. B. (2014) · Mindfulness · doi:10.1007/s12671-014-0285-3 · Cited by 40 · see citing works
Unifying practice schedules in the timescales of motor learning and performance
Verhoeven, F. M., & Newell, K. M. (2018) · Human Movement Science · doi:10.1016/j.humov.2018.04.004 · Cited by 39 · see citing works
Understanding the Distributed Practice Effect
Kuepper-Tetzel, C. E. (2014) · Zeitschrift für Psychologie · doi:10.1027/2151-2604/a000168 · Cited by 43 · see citing works
The impact of coaching on the emotional and social intelligence competencies of leaders
Dippenaar, M., & Schaap, P. (2017) · South African Journal of Economic and Management Sciences · doi:10.4102/sajems.v20i1.1460 · Cited by 42 · see citing works
“It has been found that short and regular development sessions in combination with feedback are more effective than longer but less frequent sessions (Cepeda et al. 2009).”
BackgroundWalsh, M. M., Krusmark, M. A., Jastrembski, T., Hansen, D. A., Honn, K. A., & Gunzelmann, G. (2023) · Memory & Cognition · doi:10.3758/s13421-022-01361-8 · Cited by 35 · see citing works
“Laboratory studies have since returned to designs where spacing is manipulated by varying elapsed time between two or more study sessions delivered on different days (Carpenter et al., 2009; Cepeda et al., 2009; Gerbier et al., 2015; Kapler et al., 2015; Küpper-Tetzel et al., 2014; Rawson & Dunlosky, 2013; Rawson et a…”
MethodCumulative versus end‐of‐course assessment: effects on self‐study time and test performance
Kerdijk, W., Cohen‐Schotanus, J., Mulder, B. F., Muntinghe, F. L. H., & Tio, R. A. (2015) · Medical Education · doi:10.1111/medu.12756 · Cited by 37 · see citing works
Nugteren, M. L., Jarodzka, H. M., Liesbeth Kester, A., & van Merriënboer, J. J. G. (2018) · Instructional Science · doi:10.1007/s11251-018-9448-2 · Cited by 39 · see citing works
“Second, students could improve through practice (such as distributed practice, e.g., Cepeda et al. 2009).”
BackgroundParallels between spacing effects during behavioral and cellular learning
Kornmeier, J., & Sosic-Vasic, Z. (2012) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2012.00203 · Cited by 37 · see citing works
“However, it turns out that this effect is non-monotonic: After a certain optimal spacing interval, memory performance declines again (Donovan and Radosevich, 1999; Toppino and Bloom, 2002; Cepeda et al., 2009).”
BackgroundLI, M., & DEKEYSER, R. (2019) · The Modern Language Journal · doi:10.1111/modl.12580 · Cited by 35 · see citing works
Spaced Digital Education for Health Professionals: Systematic Review and Meta-Analysis
Martinengo, L., Ng, M. S. P., Ng, T. D. R., Ang, Y.-I., Jabir, A. I., Kyaw, B. M., & Car, L. T. (2024) · Journal of Medical Internet Research · doi:10.2196/57760 · Cited by 55 · see citing works
“Spaced education is an educational technique that promotes long-term knowledge retention via multiple repeated learning sessions separated by prespecified time intervals [19-21].”
Spacing Effects on Learning and Memory ☆
Carpenter, S. K. (2017) · Elsevier eBooks · doi:10.1016/b978-0-12-809324-5.21054-7 · Cited by 45 · see citing works
Improvements to visual working memory performance with practice and feedback
Adam, K. C. S., & Vogel, E. K. (2018) · PLoS ONE · doi:10.1371/journal.pone.0203279 · Cited by 36 · see citing works
Johanson, C., Gutwin, C. A., Bowey, J. T., & Mandryk, R. L. (2019) · Annual Symposium on Computer-Human Interaction in Play · doi:10.1145/3311350.3347195 · Cited by 36 · see citing works
“Additionally, there is little agreement as to what length of rest optimizes the effect [118]—some suggest that longer breaks are more effective than shorter breaks [97], and others suggest that performance follows an inverted U function [16, 25].”
BackgroundResultKuepper-Tetzel, C. E., & Erdfelder, E. (2011) · Memory · doi:10.1080/09658211.2011.631550 · Cited by 34 · see citing works
“( 2009 ) investigated this effect at educationally relevant time scales.”
BackgroundCook, A., & Karakuş, O. (2024) · Knowledge-Based Systems · doi:10.1016/j.knosys.2024.112219 · Cited by 40 · see citing works
Traditional lectures versus active learning – A false dichotomy?
Dietrich, H., & Evans, T. (2022) · STEM Education · doi:10.3934/steme.2022017 · Cited by 53 · see citing works
Diminished But Not Forgotten: Effects of Aging on Magnitude of Spacing Effect Benefits
Simone, P. M., Bell, M. C., & Cepeda, N. J. (2012) · The Journals of Gerontology Series B · doi:10.1093/geronb/gbs096 · Cited by 31 · see citing works
Self-citationApproximately Optimal Teaching of Approximately Optimal Learners
Whitehill, J., & Movellan, J. R. (2017) · IEEE Transactions on Learning Technologies · doi:10.1109/tlt.2017.2692761 · Cited by 31 · see citing works
Heckler, A. F., & Mikula, B. D. (2016) · Physical Review Physics Education Research · doi:10.1103/physrevphyseducres.12.010134 · Cited by 32 · see citing works
Servant, M., Cassey, P., Woodman, G. F., & Logan, G. D. (2017) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/xlm0000454 · Cited by 31 · see citing works
“Since Ebbinghaus (1885), behavioral studies have used retention or transfer tests to assess learning and evaluate the strength of long-term memory traces (e.g., Bahrick, Bahrick, Bahrick, & Bahrick, 1993; Cepeda et al., 2009; Logan, 1990; McAllister & Ley, 1972; Scarborough et al., 1979).”
Spacing Effects in Task Repetition Research
Rogers, J. (2022) · Language Learning · doi:10.1111/lang.12526 · Cited by 29 · see citing works
Fisher, J. S., & Radvansky, G. A. (2019) · Journal of Memory and Language · doi:10.1016/j.jml.2019.104035 · Cited by 33 · see citing works
The Depletion–Power–Integration–Latency (DPIL) model of spaced and massed repetition
Sikström, S., & Jaber, M. Y. (2012) · Computers & Industrial Engineering · doi:10.1016/j.cie.2012.03.005 · Cited by 26 · see citing works
“A more specific finding of the study of Cepeda et al. (2006) is that the ISI producing the maximal retention increased as the retention interval increased. The result from this meta-analysis review is consistent with the experimental data analyzed here. In Wickelgren’s (1972) data the final retention interval ranged f…”
BackgroundMethodResultInfluentialDOES IT MATTER WHEN YOU REVIEW?
Rogers, J., & Cheung, A. (2020) · Studies in Second Language Acquisition · doi:10.1017/s0272263120000236 · Cited by 32 · see citing works
Jaeggi, S. M., Buschkuehl, M., Parlett-Pelleriti, C., Moon, S. M., Evans, M., Kritzmacher, A., Reuter‐Lorenz, P. A., Shah, P., & Jonides, J. J. (2019) · The Journals of Gerontology Series B · doi:10.1093/geronb/gbz090 · Cited by 28 · see citing works
“Specifically, the group showing the largest transfer effects completed one training session per day (as opposed to the groups that trained multiple times per day; Wang, Zhou, & Shah, 2014), which is consistent with a host of prior results demonstrating that distributed practice leads to better learning and retention t…”
ResultGerbier, É., & Koenig, O. (2011) · Quarterly Journal of Experimental Psychology · doi:10.1080/17470218.2011.600806 · Cited by 25 · see citing works
“The influential studies that have investigated the lag effect over a long timescale include Cepeda, Vul, Rohrer, Wixted, and Pashler (2008), Cepeda et al. (2009), Glenberg and Lehmann (1980), Bahrick, Bahrick, Bahrick, and Bahrick (1993), and Bahrick and Hall (2005).”
BackgroundResultPredicting and Improving Memory Retention: Psychological Theory Matters in the Big Data Era
Mozer, M. C., & Lindsey, R. (2016) · Psychology Press eBooks · doi:10.4324/9781315413570-8 · Cited by 29 · see citing works
“Note that for educationally relevant RIs on the order of weeks and months, the Cepeda et al. (2009) result indicates that the effect of spacing can be tremendous: optimal spacing can double retention over massed practice.”
BackgroundSelf-citationVery Similar Spacing-Effect Patterns in Very Different Learning/Practice Domains
Kornmeier, J., Spitzer, M., & Sosic-Vasic, Z. (2014) · PLoS ONE · doi:10.1371/journal.pone.0090656 · Cited by 25 · see citing works
“the time between the last learning unit and the final test [2,19,29,30].”
BackgroundLong-term spacing effect benefits in developmental amnesia: Case experiments in rehabilitation.
Green, J. L., Weston, T., Wiseheart, M., & Rosenbaum, R. S. (2014) · Neuropsychology · doi:10.1037/neu0000070 · Cited by 25 · see citing works
“…was semantically independent from the other word of the pair.1 To ensure that both H.C. and the control group learned the stimuli well during the initial episode, we used a computer program that implemented a learning-to-criterion requirement for the initial learning episode (Cepeda et al., 2009).”
MethodApplying spaced practice in the schools to teach math vocabulary
(2019) · doi:10.1002/pits.22248 · Cited by 24 · see citing works
The advantage of mixing examples in inductive learning: a comparison of three hypotheses
Guzman-Munoz, F. J. (2017) · Educational Psychology · doi:10.1080/01443410.2015.1127331 · Cited by 22 · see citing works
“In addition, a delayed test was added to check the possibility that the effect of gap would show more strongly after a meaningful delay between study and test phases (Cepeda et al., 2009).”
BackgroundInfluentialTeng, M. H. T., & Xu, J. (2022) · Language Teaching Research · doi:10.1177/13621688221077028 · Cited by 25 · see citing works
“We assume an interval of two weeks between retrievals of a target to be proper for productive learning of known words, based on the distributed practice effect that indicates larger spacing between learning episodes results in superior long-term retention (Cepeda et al., 2009; Nakata, 2017).”
Do students think that difficult or valuable materials should be restudied sooner rather than later?
Cohen, M. S., Yan, V. X., Halamish, V., & Bjork, R. A. (2013) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/a0032425 · Cited by 23 · see citing works
Distributed Practice: Rarely Realized in Self-Regulated Mathematical Learning
Barzagar Nazari, K., & Ebersbach, M. (2018) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.02170 · Cited by 23 · see citing works
“The effect of distributed practice has been demonstrated under a great range of circumstances: with different materials (e.g., Carpenter et al., 2012), in different age groups (e.g., Toppino et al., 1991), and using different lags between the learning sessions (e.g., Cepeda et al., 2009).”
BackgroundTesting Sleep Consolidation in Skill Learning: A Field Study Using an Online Game
Stafford, T., & Haasnoot, E. (2016) · Topics in Cognitive Science · doi:10.1111/tops.12232 · Cited by 20 · see citing works
Distributed practice. The more the merrier? A randomised bronchoscopy simulation study
Bjerrum, A., Εika, B., Charles, P., & Hilberg, O. (2016) · Medical Education Online · doi:10.3402/meo.v21.30517 · Cited by 22 · see citing works
“Consequently, the results of our study support a previously proposed association: that the size of the distributed practice effect appears to depend on task type and task complexity as well as the length of time in between practice sessions (2, 11).”
ResultEbersbach, M., & Nazari, K. B. (2020) · Frontiers in Psychology · doi:10.3389/fpsyg.2020.00811 · Cited by 22 · see citing works
“Based on previous research investigating the lag effect with regard to verbal material, we expected a shorter ISI of 1 day to be optimal for a RI of 1 week, and a longer ISI of 11 days to be optimal for a RI of 5 weeks (e.g., Cepeda et al., 2009; Küpper-Tetzel et al., 2014a).”
BackgroundMethodA Functional Contextualist Approach to Mastery Learning in Vocational Education and Training
Parker, D. A., & Roumell, E. A. L. (2020) · Frontiers in Psychology · doi:10.3389/fpsyg.2020.01479 · Cited by 25 · see citing works
- Authors
- Cepeda, N. J., Coburn, N., Rohrer, D., Wixted, J. T., Mozer, M. C., & Pashler, H.
- Affiliations
- York University (CA)
- University of California San Diego (US)
- University of South Florida (US)
- University of Colorado Boulder (US)
- Venue
- Experimental Psychology
- Publisher
- Hogrefe Publishing Group
- Published
- 2009-01
- Volume
- 56
- Issue
- 4
- Pages
- 236-246
- ISSN
- 0949-3964 (ISSN-L)
- 1618-3169
- 2190-5142
- OpenAlex
- W1527475029
- Cited by
- 296
- References
- 71
- Citations by year
- 2026: 9 · 2025: 19 · 2024: 20 · 2023: 18 · 2022: 26 · 2021: 23 · 2020: 25 · 2019: 15 · 2018: 15 · 2017: 15 · 2016: 17 · 2015: 19 · 2014: 22 · 2013: 20 · 2012: 12
- FWCI
- 5.00
- Type
- journal article
- Language
- en
- Open access
- green
- escholarship.org
- Locations
- Experimental Psychology (formerly Zeitschrift für Experimentelle Psychologie) (publishedVersion)
- PubMed (publishedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- Digital Commons - University of South Florida (University of South Florida) (submittedVersion)
- Funders
- National Science Foundation (0542013, 0720375)
- U.S. Department of Education
- Institute of Education Sciences
- University of California, San Diego
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Memory Processes and Influences
- Social Sciences › Psychology › Developmental and Educational Psychology › Second Language Acquisition and Learning
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Visual and Cognitive Learning Processes
- Keywords
- distributed practice, spacing effect, retention, foreign words, factual memory, object naming, long-term recall
- MeSH terms
- Attention, Humans, Memory, Short-Term, Paired-Associate Learning, Pattern Recognition, Visual, Practice, Psychological, Reading, Retention, Psychology, Speech Perception, Vocabulary, Multilingualism, Feedback, Psychological
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