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Recent studies have highlighted the importance of ordinality skills in early numerical development. Here, we investigate individual differences in ordering sets of items and suggest that children might also differ in their tendency to spontaneously recognize and use numerical order in everyday situations. This study investigated the individual differences in 3- to 4-year-old children's tendency to spontaneously focus on numerical order (SFONO), and their association with early numerical skills. One hundred fifty children were presented with three SFONO tasks designed as play-like activities, where numerical order was one aspect that could be focused on. In addition, the children were administered tasks addressing spontaneous focusing on numerosity (SFON), numerical ordering, cardinality recognition, and number sequence production. Our results showed that children had substantial individual differences in all measures, including SFONO tendency. Children's SFONO tendency was associated with their early numerical skills. To further investigate the association between SFONO tendency and numerical ordering skills, a hierarchical regression was conducted for a group of children who could successfully order sets from one to three at a minimum and were regarded as likely having the requisite skills to spontaneously focus on numerical order. The findings reveal that SFONO tendency had a unique contribution to children's numerical ordering skills, even after controlling for age, cardinality recognition, and number sequence production. The results suggest that SFONO tendency potentially plays a relevant role in children's numerical development.

Research on working memory (WM) has followed two largely independent traditions: One concerned with memory for sequentially presented lists of discrete items, and the other with short-term maintenance of simultaneously presented arrays of objects with simple, continuously varying features. Here we present a formal model of WM, the interference model (IM), that explains benchmark findings from both traditions: The shape of the error distribution from continuous reproduction of visual features, and how it is affected by memory set size; the effects of serial position for sequentially presented items, the effect of output position, and the intrusion of nontargets as a function of their distance from the target in space and in time. We apply the model to two experiments combining features of popular paradigms from both traditions: Lists of colors (Experiment 1) or of nonwords (Experiment 2) are presented sequentially and tested through selection of the target from a set of candidates, ordered by their similarity. The core assumptions of the IM are: Contents are encoded into WM through temporary bindings to contexts that serve as retrieval cues to access the contents. Bindings have limited precision on the context and the content dimension. A subset of the memory set--usually one item and its context--is maintained in a focus of attention with high precision. Successive events in an episode are encoded with decreasing strength, generating a primacy gradient. With each encoded event, automatic updating of WM reduces the strength of preceding memories, creating a recency gradient and output interference.

Children's knowledge of the ordinal relations among number symbols is related to their mathematical learning. Ordinal knowledge has been measured using judgment (i.e., decide whether a sequence of three digits is in order) and ordering tasks (i.e., order three digits from smallest to largest). However, the question remains whether performance on these two ordinal tasks tap into similar cognitive processes. Canadian children (N = 87; Age M = 8.7 years, Grade 3) completed symbolic number tasks (i.e., number comparison, ordering, and order judgment) and measures of arithmetic fluency (i.e., addition and subtraction) and working memory (i.e., digit span backward). For both ordinal tasks, there was a reverse distance effect for ordered sequences such that children responded faster to adjacent than to non-adjacent sequences (e.g., 2 3 4 vs. 4 7 9) and a canonical distance effect for unordered sequences such that children responded faster to non-adjacent than to adjacent sequences (e.g., 4 2 3 vs. 4 9 7). Working memory and number comparison each predicted unique variance in the ordinal measures (ordering, order judgment, and a latent ordinal factor based on the two measures). Furthermore, ordinal skills superseded the role of number comparison as the key predictor of arithmetic, controlling for children's gender and working memory skills. In summary, although both ordering and order judgment tasks index ordinal knowledge, a latent factor that excludes task-specific error may be a better index than either task separately.

One of the best-known demonstrations of long-term learning through repetition is the Hebb effect: Immediate recall of a memory list repeated amidst nonrepeated lists improves steadily with repetitions. However, previous studies often failed to observe this effect for visuospatial arrays. Souza and Oberauer (2022) showed that the strongest determinant for producing learning was the difficulty of the test: Learning was consistently observed when participants recalled all items of a visuospatial array (difficult test) but not if only one item was recalled, or recognition procedures were used (less difficult tests). This suggests that long-term learning was promoted by increased testing demands over the short term. Alternatively, it is possible that lower testing demands still lead to learning but prevented the application of what was learned. In four preregistered experiments (N = 981), we ruled out this alternative explanation: Changing the type of memory test midway through the experiment from less demanding (i.e., single item recall or recognition) to a more demanding test (i.e., full item recall) did not reveal hidden learning, and changing it from the more demanding to a less demanding test did not conceal learning. Mixing high and low demanding tests for nonrepeated arrays, however, eventually produced Hebb learning even for the less demanding testing conditions. We propose that testing affects long-term learning in two ways: Expectations of the test difficulty influence how information is encoded into memory, and retrieval consolidates this information in memory.

The Hebb repetition effect shows improvement in serial recall of repeated lists compared to random nonrepeated lists. Previous research using simple span tasks found that the Hebb repetition effect is limited to constant uninterrupted lists, suggesting chunking as the mechanism of list learning. However, the Hebb repetition effect has been found in complex span tasks, which challenges the chunking explanation, as successive list items are separated by distractor processing, possibly interfering with the unified representations. We tested the possibility that Hebb repetition learning arises from chunking in simple span, but from position--item associations in complex span. In a series of five experiments, we found evidence that contradicts that hypothesis. Results show that (a) Hebb repetition learning in a complex span task can be transferred to a simple span task; (b) Hebb repetition learning from a complex span task cannot be transferred to a partially repeated simple span task; (c) partial repetition in a complex span task does not lead to learning; (d) Hebb repetition learning from a simple span task can be transferred to a complex span task; and (e) repeating the distractors in complex span has no impact on the Hebb repetition effect. These results suggest that the mechanism underlying the Hebb repetition effect in simple and complex span tasks is the same and points at the creation of chunks while excluding the distractors from the long-term memory representation.

Recall performance in working memory (WM) is strongly affected by the similarity between items. When asked to encode and recall list of items in their serial order, people confuse more often the position of similar compared to dissimilar items. Models of WM explain this deleterious effect of similarity through a problem of discriminability between WM representations. In contrast, when lists of items that are all semantically similar are compared to lists of dissimilar items, semantic similarity does not negatively impact order memory, questioning the idea that semantic information is part of the WM content. This study reports four experiments in which semantic similarity was manipulated using lists composed of multiple semantic categories. These experiments revealed two main patterns. First, semantic similarity can "increase", rather than decrease, order memory. Second, semantic knowledge reliably constrains the way items migrate; when migrating, items tend to do so more often toward the position of other similar items, rather than migrating toward other dissimilar items. These results challenge the way current models of WM represent similarity. The plausibility of different theoretical accounts and mechanisms is discussed.

The use of a verbal rehearsal strategy (repeating the items to be remembered to oneself in serial order) has been identified as a key factor in explaining working memory (WM) development. However, the debate remains open with regard to the age at which children are able to use it, and the actual benefits of using such a strategy. Numerous methodological constraints to identify WM strategies limit the interpretation of current findings reported in the literature. Moreover, the sequential nature of the cumulative rehearsal strategy means that its use may have a particular influence on maintaining serial order information. The present study aimed to examine: (1) whether children aged 4, 5, and 6 (n = 74, 39 female, n = 61, 29 female, and n = 72, 29 female, respectively) were able to implement an instructed verbal rehearsal strategy; and (2) the benefits of using such a strategy in terms of WM performance. Specifically, we invited children to use cumulative rehearsal, naming (simple rehearsal), or no strategy when performing verbal WM tasks (immediate serial recall and item and order serial recognition). Moreover, the specific influence of instructed strategies on item and serial order maintenance was assessed in the different age groups. While the benefits of using the naming strategy were limited, cumulative rehearsal instruction increased WM performance in all age groups, particularly for serial order information. Our results demonstrate that, as early as 4 years old, children were able to implement, and benefit from a short period of cumulative rehearsal instruction.

The purpose of this meta-analytic review is to investigate the relation between statistical learning (SL) and language-related outcomes, and between SL and reading-related outcomes. A comprehensive search of peer-reviewed published research resulted in 42 articles with 53 independent samples and 201 reported effect sizes (Pearson's r). Results of our robust variance estimation correlated effects model revealed a significant, moderate relation between SL and language-related outcomes, r = 0.236, p < 0.001, and a significant, moderate relation between SL and reading-related outcomes, r = 0.239, p < 0.001. Moreover, age, the writing system of the language, and SL paradigm moderate the strength of the association between SL and reading. Age is the only significant moderator on the strength of the association between SL and language. The findings from this meta-analysis shed light on the contribution of multiple factors that impact how SL relates to language and reading outcomes, with important implications for developing effective instructional practices that emphasize statistical regularities of oral and written materials in the classroom. Theoretical implications of these findings for language and reading development are discussed.

This study examined the unfolding in real time of original ideas during divergent thinking (DT) in five- to six-year-olds and related individual differences in DT to executive functions (EFs). The Alternative Uses Task was administered with verbal prompts that encouraged children to report on their thinking processes while generating uses for daily objects. In addition to coding the originality of each use, the domain-specific DT processes memory retrieval and mental operations were coded from children's explanations. Six EF tasks were administered and combined into composites to measure working memory, shifting, inhibition, and selective attention. The results replicated findings of a previous study with the same children but at age four years: (1) there was a serial order effect of the originality of uses; and (2) the process mental operations predicted the originality of uses. Next, the results revealed that both domain-general EFs and domain-specific executive processes played a role in the real-time unfolding of original ideas during DT. Particularly, the DT process mental operations was positively related to the early generation of original ideas, while selective attention was negatively related to the later generation of original ideas. These findings deepen our understanding of how controlled executive processes operate during DT.

We used the timing of serial recall in several situations to reveal important aspects of recall groupings that participants construct and the reasons those groupings occur. We examined the timing of responses in the recall of digit strings within two published experiments. Cowan, Saults, Elliott, and Moreno (2002) examined memory for nine-item lists in a way that deconfounded the presentation modality, input versus output serial position (using a varied starting point of recall), memory load from items not yet recalled (using whole vs. partial recall), and the presence or absence of the temporal grouping of the lists into triads. Accuracy was strikingly different in the two modalities, with grouping drastically changing recall of acoustic lists but with little difference between grouped versus ungrouped visual lists. Despite the modality difference in recall, the present timing results show that participants imposed a similar grouped structure in recall for both modalities. When errors were made, the original grouping structure still was maintained in the output timing. Cowan et al. (2005, Experiment 1) presented ungrouped acoustic lists of varying lengths in a span task. In this case, there was never a grouping structure presented to the participant and the accuracy data did not reveal evidence of grouping, but we show clear grouping in the timing structure. This grouping structure varied with both the list length and an individual's span. Timing in both experiments shows that a grouping structure is imposed on responses in a manner that is dependent on several factors not present in the stimuli.

When remembering over the short-term, long-term knowledge has a large effect on the number of correctly recalled items and little impact on memory for order. This is true, for example, when the effects of semantic category are examined. Contrary to what these findings suggest, Poirier et al. in 2015 proposed that memory for order relies on the level of activation within long-term networks. Importantly, although their view has been criticized, they showed that manipulating semantic associations led to item migrations that were atypical. In this article, we show that similar migrations can be obtained with another knowledge-based factor: orthographic neighborhood. In three experiments, we manipulated the orthographic neighborhood of to-be-recalled items. The latter is a sublexical factor; as such, it is much less likely than semantic relatedness to involve demand characteristics or grouping strategies. The first experiment established that the neighborhood manipulation produced the pattern of item migrations previously observed with semantic relatedness, confirming that the migration effect can generalize to other variables. The last two experiments suggested that migrations were due to the features shared across list items rather than to item co-activation (as in Poirier et al.). The results were successfully modeled by calling upon the Revised Feature Model, where recall depends on selecting a retrieval candidate based on the features of the cueing information. Overall, our findings underline the usefulness of a model where retrieval is determined by relative distinctiveness and underline that multiple mechanisms can lead to order errors in recall.

Transcranial direct current stimulation (tDCS) over the dorsolateral prefrontal cortex (DLPFC) has been shown to enhance divergent and convergent creative thinking. Yet, how stimulation impacts creative performance over time, and what cognitive mechanisms underlie any such enhancement, remain largely unanswered questions. In the present research, we aimed to (1) verify the impact of DLPFC tDCS on both convergent and divergent thinking, and further investigated (2) the temporal dynamics of divergent thinking, focusing on the serial order effect (i.e., the tendency for ideas to become more original and less frequent over time), and (3) any role that cognitive inhibition may play in mediating any effect of stimulation on creative thinking (considering the DLPFC's involvement in driving inhibitory processes that are also relevant for creative thinking). In a within-subjects design, twenty-six participants received three types of cross-hemispheric tDCS stimulation over the DLPFC (left cathodal and right anodal, L-R+; left anodal and right cathodal, L+R-; and sham). Before stimulation, they completed a pre-flanker task measuring cognitive inhibition; during stimulation, they completed the Alternate Uses Task (AUT), Remote Associates Test (RAT), and post-flanker task. Results showed that, compared with the sham stimulation, originality of responses in the AUT was significantly enhanced in the L+R- condition, while no tDCS effect was observed for the RAT. Additionally, compared with the other stimulation conditions, we found a diminished serial order effect in the L+R- condition characterized by an accelerated production of more original ideas. Critically, the L+R- condition was accompanied by better performance on the flanker task. Our findings thus verify that L+R- tDCS over the DLPFC accelerates idea originality also providing tentative clues that inhibition may act as a cognitive mechanism underlying enhancements in divergent thinking resulting from frontal lobe neuromodulation.

Although possible to recall in both forward and backward order, recall proceeds most naturally in the order of encoding. Prior studies ask whether and how forward and backward recall differ. We reexamine this classic question by studying recall dynamics while varying the predictability and timing of forward and backward cues. Although overall accuracy did not differ by recall direction, recall dynamics highlight key distinctions. Forward recall exhibits a modest advantage for correct transitions following errors, independent of cueing predictability and list length. Without consistent directional cueing, participants initiate backward recall more accurately, but this effect reverses with predictable directional cues. Following omissions, participants commit more fill-in errors in backward recall. Our findings implicate an asymmetric, cue-dependent retrieval process underlying forward and backward recall, with relative contributions of primacy and recency depending on directional predictability.

In error analyses using sentence repetition data, most authors focus on word types of omissions. The current study considers serial order in omission patterns independent of functional categories. Data was collected from Russian and German sentence repetition tasks performed by 53 five-year-old bilingual children. Number and positions of word omissions were analyzed. Serial order effects were found in both languages: medial errors made up the largest percentage of errors. Then, the position of omissions was compared to visuo-verbal n-back working memory and non-verbal visual forward short-term memory scores using stepwise hierarchical linear regression models, taking into account demographic variables and receptive language. The interaction differed between languages: there was a significant negative association between omissions in the medial position in German and the final position in Russian and the visuo-verbal n-back memory score. Our study contributes to the understanding of how working memory and language are intertwined in sentence repetition.

Visual-verbal serial recall is disrupted when task-irrelevant background speech has to be ignored. Contrary to previous suggestion, it has recently been shown that the magnitude of disruption may be accentuated by the semantic properties of the irrelevant speech. Sentences ending with unexpected words that did not match the preceding semantic context were more disruptive than sentences ending with expected words. This particular instantiation of a deviation effect has been termed the semantic mismatch effect. To establish a new phenomenon, it is necessary to show that the effect can be independently replicated and does not depend on specific boundary conditions such as the language of the stimulus material. Here we report a preregistered replication of the semantic mismatch effect in which we examined the effect of unexpected words in 4 different languages (English, French, German, and Swedish) across 4 different laboratories. Participants performed a serial recall task while ignoring sentences with expected or unexpected words that were recorded using text-to-speech software. Independent of language, sentences ending with unexpected words were more disruptive than sentences ending with expected words. In line with previous results, there was no evidence of habituation of the semantic mismatch effect in the form of a decrease in disruption with repeated exposure to the occurrence of unexpected words. The successful replication and extension of the effect to different languages indicates the expression of a general and robust mechanism that reacts to violations of expectancies based on the semantic content of the irrelevant speech.

Purpose: Delayed auditory feedback (DAF) interferes with speech output. DAF causes distorted and disfluent productions and errors in the serial order of produced sounds. Although DAF has been studied extensively, the specific patterns of elicited speech errors are somewhat obscured by relatively small speech samples, differences across studies, and uncontrolled variables. The goal of this study was to characterize the types of serial order errors that increase under DAF in a systematic syllable sequence production task, which used a closed set of sounds and controlled for speech rate. Method: Sixteen adult speakers repeatedly produced CVCVCV (C = consonant, V = vowel) sequences, paced to a "visual metronome," while hearing self-generated feedback with delays of 0-250 ms. Listeners transcribed recordings, and speech errors were classified based on the literature surrounding naturally occurring slips of the tongue. A series of mixed-effects models were used to assess the effects of delay for different error types, for error arrival time, and for speaking rate. Results: DAF had a significant effect on the overall error rate for delays of 100 ms or greater. Statistical models revealed significant effects (relative to zero delay) for vowel and syllable repetitions, vowel exchanges, vowel omissions, onset disfluencies, and distortions. Serial order errors were especially dominated by vowel and syllable repetitions. Errors occurred earlier on average within a trial for longer feedback delays. Although longer delays caused slower speech, this effect was mediated by the run number (time in the experiment) and small compared with those in previous studies. Conclusions: DAF drives a specific pattern of serial order errors. The dominant pattern of vowel and syllable repetition errors suggests possible mechanisms whereby DAF drives changes to the activity in speech planning representations, yielding errors. These mechanisms are outlined with reference to the GODIVA (Gradient Order Directions Into Velocities of Articulators) model of speech planning and production.

Developmental aspects of auditory cognition were investigated in 5-to-10-year-old children (n = 100). Musical and verbal short-term memory (STM) were assessed by means of delayed matching-to-sample tasks (DMST) (comparison of two four-item sequences separated by a silent retention delay), with two levels of difficulty. For musical and verbal materials, children's performance increased from 5 years to about 7 years of age, then remained stable up to 10 years of age, with performance remaining inferior to performance of young adults. Children and adults performed better with verbal material than with musical material. To investigate auditory cognition beyond STM, we assessed speech-in-noise perception with a four-alternative forced-choice task with two conditions of phonological difficulty and two levels of cocktail-party noise intensity. Partial correlations, factoring out the effect of age, showed a significant link between musical STM and speech-in-noise perception in the condition with increased noise intensity. Our findings reveal that auditory STM improves over development with a critical phase around 6-7 years of age, yet these abilities appear to be still immature at 10 years. Musical and verbal STM might in particular share procedural and serial order processes. Furthermore, musical STM and the ability to perceive relevant speech signals in cocktail-party noise might rely on shared cognitive resources, possibly related to pitch encoding. To the best of our knowledge, this is the first time that auditory STM is assessed with the same paradigm for musical and verbal material during childhood, providing perspectives regarding diagnosis and remediation in developmental learning disorders.

Previous research on 4-6-year-olds' interpretations of adjunct control has observed non-adult-like behavior for sentences like "John called Mary before running to the store." Several studies have aimed to identify a grammatical source of children's errors. This study tests the predictions of grammatical and extragrammatical accounts by comparing children's behavior on two truth value judgment tasks: a high-demand task, with a "true/false" judgment based on event ordering, and a low-demand task, with a "true/false" judgment based on the color of an item. Children's behavior is more adultlike on the low-demand task, suggesting that children's interpretations may be influenced by extragrammatical factors. Implications are discussed for children's behavior in previous studies and for the role of the linguistic input.

A recent Registered Replication Report (RRR) of the development of verbal rehearsal during serial recall revealed that children verbalized at younger ages than previously thought, but did not identify sources of individual differences. Here, we use mediation analysis to reanalyze data from the 934 children ranging from 5 to 10 years old from the RRR for that purpose. From ages 5 to 7, the time taken for a child to label pictures (i.e. isolated naming speed) predicted the child's spontaneous use of labels during a visually presented serial reconstruction task, despite no need for spoken responses. For 6- and 7-year-olds, isolated naming speed also predicted recall. The degree to which verbalization mediated the relation between isolated naming speed and recall changed across development. All relations dissipated by age 10. The same general pattern was observed in an exploratory analysis of delayed recall for which greater demands are placed on rehearsal for item maintenance. Overall, our findings suggest that spontaneous phonological recoding during a standard short-term memory task emerges around age 5, increases in efficiency during the early elementary school years, and is sufficiently automatic by age 10 to support immediate serial recall in most children. Moreover, the findings highlight the need to distinguish between phonological recoding and rehearsal in developmental studies of short-term memory.

Long-term memory knowledge is considered to impact short-term maintenance of item information in working memory, as opposed to short-term maintenance of serial order information. Evidence supporting an impact of semantic knowledge on serial order maintenance remains weak. In the present study, we demonstrate that semantic knowledge can impact the processing of serial order information in a robust manner. Experiment 1 manipulated semantic relatedness effect by using semantic categories presented in subgroups of items ("leaf"--"tree"--"branch"--cloud--sky--rain). This semantic grouping manipulation was compared to a temporal grouping manipulation whose impact on the processing of serial order information is well-established. Both the semantic and temporal grouping manipulations constrained the occurrence of serial order errors in a robust manner: when migrating to a nontarget serial position, items tended to do so most of the time toward the position of a semantically related item or within the same temporal group. Critically, this impact of semantic knowledge on the pattern of migration errors was not observed anymore in Experiment 2, in which we broke-up the semantic groups, by presenting the semantically related items an interleaved fashion ("leaf"--cloud--"tree"--sky--"branch"--rain). Both semantic and temporal grouping factors may reflect a general mechanism through which information is represented hierarchically. Alternatively, both factors could result from the syntactic and/or semantic regularities that naturally structures linguistic information. These results support models considering direct interactions between serial order and linguistic components of WM.

It has long been understood that associations can form between items that are paired (Ebbinghaus, 1885), but it is commonly assumed that previously retrieved items are not used when remembering items in serial order. We present a series of experiments that test this assumption, using a serial learning procedure inspired by Ebenholtz (1963). In this procedure, participants practiced recalling ordered lists of letters, and the order of the letters was manipulated. Half of the lists were scrambled such that the serial positions and relative positions of the letters were inconsistent over practice. The other half of the lists were spun (e.g., ABCDEF [right arrow] FABCDE), making the serial positions inconsistent but preserving the relative positions of the letters over practice. In Experiment 1, participants learned to recall spun lists more accurately than the scrambled lists with practice. In Experiments 2 and 3, participants recalled new lists more accurately when they shared the relative order of previously learned spun lists. In Experiments 4 and 5, the influences of motor and perceptual representations were removed and shown to have little impact on the advantage for spun lists. Experiment 6 extended our findings to the more traditional Hebb (1961) learning procedure. The results of our experiments indicate that the commonly held assumption is incorrect--previously retrieved items can contribute to memory for serial order. Previously retrieved items best serve serial memory when there is ample opportunity to strengthen item-to-item associations.

A key obstacle to measurement is the aggregation problem. Where indicators tap into common latent traits in theoretically meaningful ways, the problem may be solved by applying a data-informed ("inductive") measurement model, for example, factor analysis, structural equation models, or item response theory. Where they do not, researchers solve the aggregation problem by appeal to concept-driven ("deductive") criteria, that is, aggregation schemes that do not presume patterns of covariance across observable indicators. This article introduces a novel approach to scale construction that builds on the properties of concepts to solve the aggregation problem. This is accomplished by regarding conceptual attributes as necessary-and-sufficient conditions arrayed in an ordinal scale. While different sorts of scales are useful for different purposes, we argue that "lexical" scales are in many cases superior for research questions where it is relevant to combine the differentiation of an ordinal scale with the distinct, meaningful categories of a typology.

Structural priming is the tendency to repeat syntactic structure across sentences and can be divided into short-term (prime to immediately following target) and long-term (across an experimental session) components. This study investigates how nondeclarative memory could support both the transient, short-term and the persistent, long-term structural priming effects commonly seen in the literature. We propose that these characteristics are supported by different subcomponents of nondeclarative memory: Perceptual and conceptual nondeclarative memory respectively. Previous studies have suggested that these subcomponents age differently, with only conceptual memory showing age-related decline. By investigating how different components of structural priming vary across the life span, we aim to elucidate how nondeclarative memory supports 2 seemingly different components of structural priming. In 167 participants ranging between 20 and 85 years old, we find no change in short-term priming magnitude and performance on perceptual tasks, whereas both long-term priming and conceptual memory vary with age. We suggest therefore that the 2 seemingly different components of structural priming are supported by different components of nondeclarative memory. These findings have important implications for theoretical accounts of structural priming.

How do children develop associations among number symbols? For Grade 1 children (n = 66, M = 78 months), sequence knowledge (i.e., identify missing numbers) and number comparison (i.e., choose larger number) predicted addition, both concurrently and indirectly at the end of Grade 1. Number ordering (i.e., touch numbers in order) did not predict addition but was predicted by number comparison, suggesting that magnitude associations underlie ordering performance. In contrast, for Grade 2 children (n = 80, M = 90 months), number ordering predicted addition concurrently and at the end of Grade 2; number ordering was predicted by number comparison, sequencing, and inhibitory processing. Development of symbolic number competence involves the hierarchical integration of sequence, magnitude, order, and arithmetic associations.

The processing of ordinally organized information is a characteristic of both serial-order working memory and numerical cognition. Serial positions of items presented within a list follow an ordinal organization when stored in working memory, whereas numbers are based on an ordinal structure stored in long-term memory. We tested the hypothesis that long-term numerical ordinal representations support the coding of temporary serial position information in working memory. In Experiment 1, learned word-number associations appeared to have a negative instead of a positive impact on immediate serial recall performance relative to control conditions. Experiments 2 showed that this effect was due to a stronger opportunity for learning associations of words to serial positions in the control lists as compared to the experimental lists. Experiment 3 showed that when controlling for these positional learning effects, there was no reliable effect of learned word-number associations on immediate serial recall performance. This study indicates that numerical codes do not play a major role in coding serial position information in working tasks. At the same time, the robust item-position learning effects demonstrate a contribution of long-term item-position associations to immediate memory for order.

Geologic time scale is a very important concept for understanding long-term earth system events such as climate change. This study examines forty-three 4th-8th grade Native American--particularly Ojibwe tribe--students' understanding of relative ordering and absolute time of Earth's significant geological and biological events. This study also examines how these students understand the time scale of human history in relation to the longer geologic time scale of the earth and of the Ojibwe's unique history. The students participated in a 15-hour lesson unit focused on the topic of climate change in Earth history. The two major sources of data included: 1) students' relative ordering and written descriptions of ten given Earth historical events and 2) student groups' placing of nineteen events on an absolute time line. Students' relative ordering of ten given events and student groups' placing of nineteen events on an absolute time line were analyzed quantitatively by descriptive statistics, whereas students' written descriptions of the relative ordering of the ten given events were analyzed qualitatively. The results show that the students understand Earth's geological events as three distinctive zones: near the beginning of Earth history, relative recent events, and between these two categories. The results also show that many students interpret general historical events in human history like "starting agriculture" through the lens of their own history and cultural viewpoints. This study shows that younger children have a general knowledge of major events in Earth's history, such as continental movement, but cannot organize an accurate chronological order of these events. This study also shows that indigenous students' knowledge of their own cultural and historical events affects their understandings of human history.

There is increasing evidence for an association between both serial order short-term memory (STM) and the long-term learning (LTL) of serial order information and reading abilities. In this developmental study, we examined the hypothesis that STM for serial order supports online grapheme-to-phoneme conversion processes during the initial stages of reading acquisition, whereas the LTL of serial order serves reading abilities at later stages, when reading starts to rely on more stable, long-term orthographic representations. We followed a sample of 116 French-speaking children from first (Time 1 [T1]) grade of primary school through second (Time 2 [T2]) and third (Time 3 [T3]) grade. Their serial order STM and LTL abilities as well as their reading abilities were assessed. Overall, we observed that early reading abilities were only predicted by serial order STM performance, while more advanced reading abilities were predicted by both serial order STM and LTL performance. These results point toward a predictive role of serial order memory performance in reading acquisition and suggest that serial order STM and LTL support reading at different stages of acquisition. We further discuss our findings in the light of advancing knowledge about the relationship between memory and reading.

The multiplication principle (MP) is a fundamental aspect of combinatorial enumeration. In an effort to better understand students' reasoning about the MP, we had two undergraduate students reinvent a statement of the MP in a teaching experiment. In this paper, we adopt an actor-oriented perspective (Lobato, "Educational Researcher," 32(1), 17-20, 2003, "Educational Psychologist," 47(3), 1-16 2012) and draw on Lockwood's, "Journal of Mathematical Behavior," 32, 251-265 (2013) model of students' combinatorial thinking to trace the students' development of a certain conception about order -- that a statement of the MP should allow for any ordering of the stages of a counting process. Notably, this conception differs from how order is treated in textbook statements of the MP. We report on how this conception persisted for the students, and we explain how the researchers (interviewers) and students managed to proceed through the teaching experiment while maintaining different conceptions of order. The students' reasoning about order sheds light on ways in which students may think about order and highlights potential subtleties about multiplication in counting that deserve attention.

The serial advantage, defined as the gain in naming rate in the serial over the discrete task of the same content, was examined between grades and types of content in English and Greek. 720 English- and Greek-speaking children from Grades 1, 3, and 5 were tested in rapid naming and reading tasks of different content, including digits, objects, dice, number words, and words. Each type of content was presented in two presentation formats: multiple stimulus displays (i.e., serial naming) and isolated stimulus displays (i.e., discrete naming). Serial tasks yielded faster naming rates--irrespective of task content--in both languages. However, content-specific characteristics influenced the trajectory of the serial advantage between grades. Improvement in the serial advantage between grades was found to be greatest for word reading, which started off similar to object naming in Grade 1, but ended up similar to digit or dice naming by Grade 5. In addition, growth in serial advantage was found to be associated with growth in discrete naming rate only in grade level analysis. For individuals, greater serial advantage was found to rely on processing skills specific to serial naming rather than on differences in the rate of naming isolated items. Our findings suggest that group level findings may not generalize to individuals, and although practice and familiarity with the content on the naming/reading task may impact the development of serial advantage, isolated item identification processes contribute little to individual differences in the gain in serial naming rates.

The study investigated the impact of item position in multiple-choice test on student performance at the Basic Education Certificate Examination (BECE) level in Ghana. The sample consisted of 810 Junior Secondary School (JSS) Form 3 students selected from 12 different schools. A quasi-experimental design was used. The instrument for the project was a multiple-choice test consisting of 40 items in each of English Language, Mathematics and Science. The items were arranged using the difficulty order to obtain the three treatments i.e. Random (RDM), Easy-to-Hard (ETH) and Hard-to-Easy (HTE). The data collected were subjected to statistical analysis using ANOVA at 0.05 level of significance. The results of the analysis indicate that for English Language, Mathematics and Science at the BECE level, when item order was altered, the difference in performance was statistically significant. The study led to the conclusion that the proposition of using re-ordering of items of an objective test to curb examination malpractice may not be the best after all especially in English Language, Mathematics and Science at the BECE level. It was therefore recommended that other methods should be investigated for the purpose.

Research has shown that adults can engage in cognitive offloading, whereby internal processes are offloaded onto the environment to help task performance. Here, we investigate an application of this approach with children, in particular children with poor working memory. Participants were required to remember and recall sequences of colors by placing colored blocks in the correct serial order. In one condition the blocks were arranged to facilitate cognitive offloading (i.e., grouped by color), whereas in the other condition they were arranged randomly. Across two experiments (total N = 166) the ordered condition improved task performance for children with low working memory ability. In addition, participants in Experiment 2 rated the difficulty of the two arrangements and performed a further condition in which they were given an opportunity to freely arrange the blocks before completing the task. Despite performing better in the ordered condition, children with low working memory ability did not rate the ordered arrangement as easier, nor did they choose an ordered arrangement when given the opportunity to do so. This research shows that cognitive offloading can also be a useful process in populations other than typical adults, and the implications of this work for supporting children with poor working memory are discussed.

Previous work regarding a counterintuitive benefit of increasing distractors on episodic long-term memory (LTM) has suggested that retrieval of memoranda in working memory (WM) after attention has been distracted may confer benefits to episodic LTM. The current study investigated 2 conceptions of how this may occur: either as an attentional refreshing of active memoranda within the focus of attention or as retrieval of a cohesive chunk of memoranda from outside the central component of WM. Given the literature suggesting that increasing the number of items to maintain in WM, or list length, incurs an attentional cost, the current study investigated whether increasing list length may reduce the beneficial impact of distractors on episodic LTM. In a series of three experiments, we manipulated list length and the number of distractors following the memoranda in a Brown-Peterson-like-span task. Despite profound negative effects of list length and distractors on initial recall, the results indicated that list length did not interact with the beneficial effect of distractors on final free recall of the items. Furthermore, final free recall was consistent across serial position, in line with the view that all of the memoranda are retrieved as a chunk after each distractor. These findings emphasize the notion that recovering inactive information from outside of the central component of WM may impact its long-term retention. The theoretical implications regarding how retrieval may be a means by which LTM processes influence WM are discussed.

Gifted children are described as very talented children who achieve more than their age mates in one or more domains (Steiner and Carr in Educ Psychol Rev 15(3):215-246, 2003). These children potentially share a cognitive advantage enabling them to excel in language, but also in other domains. In the present study we explored whether gifted children have a relatively advanced procedural memory. We further investigated the relation between procedural memory and complex syntactic comprehension. 25 gifted children and as many non-gifted children between ages 8 and 13 were administered a serial reaction time (SRT) task and a relative clause comprehension task. Results from the SRT task showed no significant difference between gifted children and their TD peers, whereas gifted children showed significant better comprehension of object relative clauses. No significant correlations were found between the two tasks. There was thus no evidence that gifted children excel in procedural memory. Possibly some other factor, such as meta-linguistic knowledge or a beneficial social environment, contributed to their advanced linguistic comprehension.

Short-term memory (STM) for serially presented visual items is disrupted by task-irrelevant, to-beignored speech. Five experiments investigated the extent to which irrelevant speech is processed semantically by contrasting the following two hypotheses: (1) semantic processing of irrelevant speech is limited and does not interfere with serial STM or (2) irrelevant speech is routinely processed semantically at an interlexical level to allow for the detection of stimuli that are of potential relevance for the individual. We tested these hypotheses by comparing the disruption of serial recall by distractor sentences with semantically expected endings to that of sentences with semantically unexpected endings. Sentences with unexpected endings consistently produced more disruption than sentences with expected endings. Phonologically expected, but semantically unexpected endings had the same effect, demonstrating that a semantic and not a phonological mismatch is responsible for the increased disruption. In all five experiments, the semantic mismatch effect was not reduced after repeated exposure to sentences with unexpected endings. The results suggest that (1) semantic processing occurs at the interlexical level of irrelevant speech, which requires the integration of words into the sentence context and (2) the semantic content of a distractor interferes with the maintenance of serial information in short-termmemory if it is unexpected.

Associations are formed among the items in a sequence over the course of learning, but these item-to-item associations are not sufficient to reproduce the order of the sequence (Lashley, 1951). Contemporary theories of serial order tend to omit these associations entirely. The current paper investigates whether item-to-item associations play a role in serial order, specifically focusing on whether these associations influence how typists order their keystrokes. To address this question, participants completed variants of the spin list learning procedure (Ebenholtz, 1963). In these experiments, participants practiced typing nonword anagram sequences, and the order of the letters between anagrams was manipulated. Between half of the anagram sequences, both absolute and relative letter order were made inconsistent by scrambling the letters according to a balanced Latin square. For the other half, the letters were instead spun, making absolute order inconsistent but keeping relative order consistent. Learning was faster for anagram sequences with consistent relative order. Practice on spun sequences with consistent relative order transferred to unpracticed sequences with the same relative order. Transfer to unpracticed sequences did not depend on the absolute position of the letters in the unpracticed sequences. However, transfer disappeared if letter order was reversed. These results suggest that typing does make use of item-to-item associations, at least when associative interference is minimized. Although not sufficient, item-to-item associations are a necessary component of serial order in typing.

Executing actions in a specific order is a critical component of many action sequences that children must acquire, the majority of which are learned through observation and imitation of others. Although a wealth of evidence indicates that children can process and represent temporal order in memory, relatively little is known about the development of this ability and the cognitive mechanisms that support it in the context of imitation. The present research investigated 4- through 8-year-old children's ability to learn the temporal order of novel, arbitrary action sequences via imitation. On Day 1, children observed and imitated four instances each for two different multistep sequences. One sequence was easy and the other was difficult, in terms of categorizing the items used in each instance. For one sequence, the experimenter also performed one instance in a deviant temporal order, which occurred either early or late in learning. Memory generalization for each sequence was assessed on Day 2. Results indicated significant effects of age and sequence difficulty on children's ability to recall the individual actions as well as the standard order. Experiencing the deviant order also uniquely disrupted children's ability to generalize the order. Experiencing the deviant early in learning globally lowered children's memory for both sequences. Thus, children's ability to learn temporal order develops slowly over childhood, is supported by foundational cognitive processes that operate in a hierarchical fashion, and is highly sensitive to variable temporal input. These results have implications for theories of imitation and cultural learning more broadly.

The present study was designed to test for item order effects by measuring four distinct constructs that contribute substantively to anxiety-related psychopathology (i.e., anxiety sensitivity, fear of negative evaluation, injury/illness sensitivity, and intolerance of uncertainty). Participants (n = 999; 71% women) were randomly assigned to complete measures for each construct presented in one of two modalities: (a) items presented cohesively as measures or (b) items presented randomly interspersed with one another. The results suggested that item order had a relatively small impact on item endorsement, response patterns, and reliabilities. The small impact was such that item order appears unlikely to influence clinical decisions related to these measures. These findings not only have implication for these and other similar measures, but further inform a long-standing debate about whether item grouping is a substantial concern in measurement. (Contains 5 tables.)

The present study examined the verbal learning performance and the semantic organization used by Greek reading-disabled readers as compared to a control group using a list-learning task. The sample consisted of 45 elementary school children with reading difficulties and 45 comparison children matched for age and gender. Tests of reading ability, verbal memory and learning and IQ were administered to the participants. Results indicated that the reading difficulties group had lower levels of verbal acquisition, but did not differ in learning rate. There was no significant effect of group on the clustering index, but the poor readers increased their clustering index a trial after the control group. No significant differences were found concerning serial position, suggesting that both groups recalled similar numbers of words from the different regions of the list. The results indicate that the verbal learning difficulties of children with reading deficits do not stem from deficient organizational strategies but rather from phonological working memory limitations, which can affect the acquisition of verbal information. The findings are discussed with respect to previous research that examines the verbal learning impairment of reading-disabled children and implications are drawn for the provision of effective assessment and learning support and instruction of children with reading difficulties. (Contains 2 tables, 3 figures and 3 endnotes.)

Digit comparison is strongly related to individual differences in children's arithmetic ability. Why this is the case, however, remains unclear to date. Therefore, we investigated the relative contribution of three possible cognitive mechanisms in first and second graders' digit comparison performance: digit identification, digit--number word matching and digit ordering ability. Furthermore, we examined whether these components could account for the well-established relation between digit comparison performance and arithmetic. As expected, all candidate predictors were related to digit comparison in both age groups. Moreover, in first graders, digit ordering and in second graders both digit identification and digit ordering explained unique variance in digit comparison performance. However, when entering these unique predictors of digit comparison into a mediation model with digit comparison as predictor and arithmetic as outcome, we observed that whereas in second graders digit ordering was a full mediator, in first graders this was not the case. For them, the reverse was true and digit comparison fully mediated the relation between digit ordering and arithmetic. These results suggest that between first and second grade, there is a shift in the predictive value for arithmetic from cardinal processing and procedural knowledge to ordinal processing and retrieving declarative knowledge from memory; a process which is possibly due to a change in arithmetic strategies at that age. A video abstract of this article can be viewed at: https://youtu.be/dDB0IGi2Hf8

Immediate serial recall of verbal material is highly sensitive to impairment attributable to phonological similarity. Although this has traditionally been interpreted as a within-sequence similarity effect, Engle (2007) proposed an interpretation based on interference from prior sequences, a phenomenon analogous to that found in the Peterson short-term memory (STM) task. We use the method of serial reconstruction to test this in an experiment contrasting the standard paradigm in which successive sequences are drawn from the same set of phonologically similar or dissimilar words and one in which the vowel sound on which similarity is based is switched from trial to trial, a manipulation analogous to that producing release from PI in the Peterson task. A substantial similarity effect occurs under both conditions although there is a small advantage from switching across similar sequences. There is, however, no evidence for the suggestion that the similarity effect will be absent from the very first sequence tested. Our results support the within-sequence similarity rather than a between-list PI interpretation. Reasons for the contrast with the classic Peterson short-term forgetting task are briefly discussed.

Correct counting respects the stable order principle whereby the count terms are recited in a fixed order every time. The 4 experiments reported here tested whether precounting infants recognize and prefer correct stable-ordered counting. The authors introduced a novel preference paradigm in which infants could freely press two buttons to activate videos of counting events. In the "correct" counting video, number words were always recited in the canonical order ("1, 2, 3, 4, 5, 6"). The "incorrect" counting video was identical except that the number words were recited in a random order (e.g., "5, 3, 1, 6, 4, 2"). In Experiment 1, 18-month-olds (n = 21), but not 15-month-olds (n = 24), significantly preferred to press the button that activated correct counting events. Experiment 2 revealed that English-learning 18-month-olds' (n = 21) preference for stable-ordered counting disappeared when the counting was done in Japanese. By contrast, Experiment 3 showed that multilingual 18-month-olds (n = 24) preferred correct stable-ordered counting in an unfamiliar foreign language. In Experiment 4, multilingual 18-month-olds (N = 21) showed no preference for stable-ordered alphabet sequences, ruling out some alternative explanations for the Experiment 3 results. Overall these findings are consistent with the idea that implicit recognition of the stable order principle of counting is acquired by 18 months of age, and that learning more than one language may accelerate infants' understanding of abstract counting principles.

Task-irrelevant speech impairs short-term serial recall appreciably. On the interference-by-process account, the processing of physical (i.e., precategorical) changes in speech yields order cues that conflict with the serial-ordering process deployed to perform the serial recall task. In this view, the postcategorical properties (e.g., phonology, meaning) of speech play no role. The present study reassessed the implications of recent demonstrations of auditory postcategorical distraction in serial recall that have been taken as support for an alternative, attentional-diversion, account of the irrelevant speech effect. Focusing on the disruptive effect of emotionally valent compared with neutral words on serial recall, we show that the distracter-valence effect is eliminated under conditions--high task-encoding load--thought to shield against attentional diversion whereas the general effect of speech (neutral words compared with quiet) remains unaffected (Experiment 1). Furthermore, the distracter-valence effect generalizes to a task that does not require the processing of serial order--the missing-item task--whereas the effect of speech per se is attenuated in this task (Experiment 2). We conclude that postcategorical auditory distraction phenomena in serial short-term memory (STM) are incidental: they are observable in such a setting but, unlike the acoustically driven irrelevant speech effect, are not integral to it. As such, the findings support a duplex-mechanism account over a unitary view of auditory distraction.

The selection and ordering of response units (phonemes, letters, keystrokes) represents a transversal issue across different modalities of language production. Here, the issue of serial order was investigated with respect to typewriting. Following seminal investigations in the spoken modality, we conducted an experiment where participants typed as many times as possible a pair of words during a fixed time-window. The 2 words shared either their first 2 keystrokes, the last 2 ones, all the keystrokes, or were unrelated. Fine-grained performance measures were recorded at the level of individual keystrokes. In contrast with previous results from the spoken modality, we observed an overall facilitation for words sharing the initial keystrokes. In addition, the initial overlap briefly delayed the execution of the following keystroke. The results are discussed with reference to different theoretical perspectives on serial order, with a particular attention to the competing accounts offered by position coding models and chaining models. Our findings point to potential major differences between the speaking and typing modalities in terms of interactive activation between lexical and response units processing levels.

A central goal of research on short-term memory (STM) over the past 2 decades has been to identify the mechanisms that underpin the representation of serial order, and to establish whether these mechanisms are the same across different modalities and domains (e.g., verbal, visual, spatial). A fruitful approach to addressing this question has involved comparing the transposition error latency predictions of models built from different candidate mechanisms for representing serial order. Experiments involving the output-timed serial recall of sequences of verbal (Farrell & Lewandowsky, 2004) and spatial (Hurlstone & Hitch, 2015) items have revealed an error latency profile consistent with the prediction of a competitive queuing mechanism within which serial order is represented via a primacy gradient of activations over items, associations between items and position markers, with suppression of items following recall. In this paper, we extend this chronometric analysis of recall errors to the serial recall of sequences of visual, nonspatial, items and find across 3 experiments an error latency profile broadly consistent with the prediction of the same representational mechanism. The findings suggest that common mechanisms and principles contribute to the representation of serial order across the verbal, visual, and spatial STM domains. The implications of these findings for theories of short-term and working memory are considered.

Working memory capacity plays a major role in many applied contexts, and it is important to be able to accurately measure this construct. The current studies tested whether the modality of administration of the letter-number sequencing task affects performance on the task. The letter-number sequencing task is a working memory capacity measure included as part of the Wechsler Adult Intelligence Scale-III and Wechsler Adult Intelligence Scale-IV test batteries. The task involves hearing a series of letters and digits, and then reporting back the stimuli with the letters in alphabetical order and digits in ascending numerical order. The task is traditionally administered orally, but recent studies have administered versions of the tasks visually by displaying stimuli on a computer screen. Results suggest that performance differences on the letter-number sequencing task may arise as a function of language background and task administration modality.

The author's secondary school mathematics students have often reported to her that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From her own classroom experiences there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have difficulty with basic multiplication table fact retrieval. Difficulty retrieving multiplication facts directly influences students' ability to engage effectively in factorisation of quadratics, since factorisation is a process of finding products within the multiplication table. Students also find it challenging to recognise and understand varied representations of the same quadratic relationship. In her own classroom, she has explored various pedagogical strategies in order to mediate for the challenges that she has outlined--everything from rehearsal to real world applications. However, she felt that her pedagogical efforts lacked the necessary insight on how the brain creates memory and felt that her pedagogical directions might be enhanced with this knowledge. Therefore, in order to construct her own classroom solutions, she turned to cognitive science to assist her in better understanding the mechanisms of fact retrieval. She surmised that problems with quadratic relations might potentially be linked to the ways in which the brain constructs cognitive representations and this knowledge might in turn inform her pedagogical decision-making as a classroom teacher. This article is a sharing of her investigation, discussing the linking of cognitive science to pedagogy, as well as making the right kind of mathematical memories. She also discusses long-term semantic memory together with varied representations and classroom implications. (Contains 1 table.)