The use of procedural knowledge in simple addition and subtraction problems

In a first experiment, adults were asked to solve one-digit additions, subtractions and multiplications. When the sign appeared 150 ms before the operands, addition and subtraction were solved faster than when the sign and the operands appeared simultaneously on screen. This priming effect was not observed for multiplication problems. A second experiment replicates these results on addition and multiplication and, moreover, shows that the priming effect in addition is observed for all problems, including very small ones such as 4+3. In fact, the only problems that were not primed by the addition sign were tie problems, which confirms that they have a special status in memory. Taken together, these results suggest that abstract procedures are pre-activated by the addition and subtraction signs and that these procedures are consequently used by adults to solve the problems. No such procedures would be pre-activated for multiplication, which are then most probably solved by retrieval of the result from memory. Moreover, while obviously two different strategies were used by individuals in order to solve addition and multiplication, solution times were similar when the problems were presented in their whole. These results, which question most of the conclusions of the current literature, support Anderson's model (1982) and Baroody's assumptions (1983) on the existence of compacted procedures that could be as fast as retrievals.     

“2 x 3” primes naming “6”: Evidence from masked priming

It is a common assumption for multiplication-solving models that single-digit multiplications are automatically retrieved. However, the experimental evidence for this is based on paradigms under suspicion. In this research, we employed a new procedure with the aim of assessing the automatic retrieval of multiplication more directly. In two experiments, multiplication automatism was studied using briefly presented primes (stimulus onset asynchrony = 48 msec) in a number-naming task. In Experiment 1, in the congruent conditions, the target and the prime were the same numbers (e.g., prime, 6; target, 6) or the target was the solution to the multiplication prime (e.g., prime, 2×3=; target, 6). In the incongruent conditions, no relationship existed between the primes and the targets (e.g., prime, 32; target, 6; or prime, 4×8=; target, 6). Experiment 2 explored the relevance of the equal sign for the multiplication-priming effect. Data showed that naming was faster when the solution of the multiplication prime matched the target, as compared with the incongruent condition (multiplication-priming effect), and that these effects were found irrespective of the presence of the equal sign. The fact that this priming effect was found even though the participants were unaware of the presentation of the primes supports the automatic character of single-digit multiplication. We conclude by arguing that this procedure is highly valuable for exploring the mechanisms involved in simple arithmetic solving.     

Retrieval-induced forgetting of arithmetic facts but not rules

Retrieval of a multiplication fact (2×6 =12) can disrupt retrieval of its addition counterpart (2+6=8). We investigated whether this retrieval-induced forgetting effect applies to rule-governed arithmetic facts (i.e., 0×N=0, 1×N=N). Participants (n=40) practised rule-governed multiplication problems (e.g., 1×4, 0×5) and multiplication facts (e.g., 2×3, 4×5) for four blocks and then were tested on the addition counterparts (e.g., 1+4, 0+5, 2+3, 4+5) and control additions. Increased addition response times and errors relative to controls occurred only for problems corresponding to multiplication facts, with no problem-specific effects on addition counterparts of rule-governed multiplications. In contrast, the rule-governed 0+N problems provided evidence of generalisation of practice across items, whereas the fact-based 1+N problems did not. These findings support the theory that elementary arithmetic rules and facts involve distinct memory processes, and confirmed that previous, seemly inconsistent findings of RIF in arithmetic owed to the inclusion or exclusion of rule-governed problems.     

Priming effects of arithmetic signs in 10- to 15-year-old children

In this research, 10- to 12- and 13- to 15-year-old children were presented with very simple addition and multiplication problems involving operands from 1 to 4. Critically, the arithmetic sign was presented before the operands in half of the trials, whereas it was presented at the same time as the operands in the other half. Our results indicate that presenting the ‘x’ sign before the operands of a multiplication problem does not speed up the solving process, irrespective of the age of children. In contrast, presenting the ‘+’ sign before the operands of an addition problem facilitates the solving process, but only in 13 to 15-year-old children. Such priming effects of the arithmetic sign have been previously interpreted as the result of a pre-activation of an automated counting procedure, which can be applied as soon as the operands are presented. Therefore, our results echo previous conclusions of the literature that simple additions but not multiplications can be solved by fast counting procedures. More importantly, we show here that these procedures are possibly convoked automatically by children after the age of 13 years. At a more theoretical level, our results do not support the theory that simple additions are solved through retrieval of the answers from long-term memory by experts. Rather, the development of expertise for mental addition would consist in an acceleration of procedures until automatization.     

Professional handball coaches management of players' situated understanding during official games

ObjectivesThis study, based on the team cognition approach, investigated the information content expressed by coaches when helping players build or update their understanding of the unfolding game. The focus was on how this content fits into the usual task-work/teamwork and procedural/declarative taxonomies.DesignThe data were collected through the audio and video recording of the communications and behaviors of three professional head coaches throughout a total of 15 games. We used deductive content analysis, crossing information contents related to task-work or teamwork with information contents related to declarative or procedural knowledge across the five game periods (first and second half of the first and second half-time, break-time period), and the three score differentials between the teams (favorable, balanced, and unfavorable).MethodWe first performed a multivariate analysis of variance (MANOVA) using a 5 (Game Periods) × 3 (Score Difference) factorial design. Follow-up ANOVAs with repeated-measures were performed to identify the variables contributing to the multivariate effect. We then performed a repeated-measures analysis of variance for information contents related to declarative and procedural knowledge in occurrences of task-work and teamwork categories.ResultsThe results showed that the coaches expressed information related more often to players' procedural knowledge than to their declarative knowledge. We discovered two main effects (game periods and score differences) in coaches' information contents delivered to players. Information related to procedural knowledge was not addressed to the team as a whole, but to certain players.ConclusionsThis suggests that an information flow was more distributed than shared.     

单一启动单一探测中基于相关低比例的负启动效应

启动和探测刺激相同试次低比例时可出现类似负启动的抑制现象。本研究采用不同于以往研究的单一探测范式,并操纵相关项（启动与探测词语义相关）的比例及刺激集的大小研究这一抑制机制的特点。实验一在低比例时发现了显著的负启动效应。实验二在低比例时,发现小的刺激集能诱发负启动,而大的则不能。表明在单一探测范式中启动与探测相关试次的低比例确实能诱发抑制控制,该抑制控制由忽视策略所致,并受刺激集大小的影响,支持了干扰项的凸显能够诱发强抑制的观点。     

Intact conceptual priming in the absence of declarative memory

Priming is an unconscious (nondeclarative) form of memory whereby identification or production of an item is improved by an earlier encounter. It has been proposed that declarative memory and priming might be related-for example, that conceptual priming results in more fluent processing, thereby providing a basis for familiarity judgments. In two experiments, we assessed conceptual priming and recognition memory across a 5-min interval in 5 memory-impaired patients. All patients exhibited fully intact priming in tests of both free association (study tent; at test, provide an association to canvas) and category verification (study lemon; at test, decide: Is lemon a type of fruit?). Yet the 2 most severely amnesic patients performed at chance on matched tests of recognition memory. These findings count against the notion that conceptual priming provides feelings of familiarity that can support accurate recognition judgments. We suggest that priming is inaccessible to conscious awareness and does not influence declarative memory.     

义符启动范式下家族大小和类别一致性对义符语义激活的影响

采用义符启动范式,考察不同加工深度任务中家族大小和类别一致性对义符语义激活的影响。结果发现:在词汇判断中,家族大小影响义符的语义激活,大家族义符的语义不容易激活,小家族义符的语义容易激活。在语义相关判断中,类别一致性影响义符的语义激活,类别一致性高的义符的语义容易激活,并且在错误率上,这一影响受义符的家族大小调节。义符类别一致性影响义符家族效应的作用方向:当类别一致性低时,出现抑制的家族效应;当类别一致性高时,家族效应无影响或表现为促进作用。     

The more you ignore me the closer I get: An ERP study of evaluative priming

We used event-related brain potentials (ERPs) to investigate the various mental processes contributing to evaluative priming—that is, more positive judgments for targets preceded by affectively positive, as opposed to negative, prime stimuli. To ensure ecological validity, we employed a priori meaningful landscape pictures as targets and emotional adjectives as visual primes and presented both primes and targets for relatively long durations (>1 s). Prime-related lateralized readiness potentials (LRPs) revealed response priming as one source of the significant evaluative priming effect. On the other hand, greater right-frontal positive slow wave in the ERP for pictures following negative, as compared with positive, primes indicated altered impression formation, thus supporting automatic spreading activation and/or affect misattribution accounts. Moreover, target LRPs suggested conscious counter-control to reduce the evaluative priming net effect. Finally, when comparing prime ERPs for two groups of participants showing strong versus weak evaluative priming, we found strong evidence for the role of depth of prime processing: In the weak-effect group, prime words evoked an increased visual P1/N1 complex, a larger posterior P2 component, and a greater left-parietal processing negativity presumably reflecting semantic processing. By contrast, a larger medial-frontal P2/N2 complex in the strong-effect group suggested top-down inhibition of the prime’s emotional content. Thus, trying to ignore the primes can actually increase, rather than decrease, the evaluative priming effect.     

Does learning a skill with the expectation of teaching it impair the skill’s execution under psychological pressure if the skill is learned with analogy instructions?

ObjectiveHaving learners practice a motor skill with the expectation of teaching it (versus an expectation of being tested on it) has been revealed to enhance skill learning. However, this improvement in skill performance is lost when the skill must be performed under psychological pressure due to ‘choking under pressure.’ The present study investigated whether this choking effect is caused by an accrual of declarative knowledge during skill practice and could be prevented if a technique (analogy instructions) to minimize the accrual of declarative knowledge during practice is employed.DesignWe used a 2 (Expectation: teach/test) x 2 (Instructions: analogy/explicit) x 2 (Posttest: low-pressure/high-pressure) mixed-factor design, with repeated measures on the last factor.MethodsOne-hundred fifty-six participants were quasi-randomly assigned (based on sex) to one of four groups. Participants in the teach/analogy and teach/explicit groups practiced golf putting with the expectation of teaching putting to another participant, and analogy instructions or explicit instructions, respectively. Participants in the test/analogy and test/explicit groups practiced golf putting with the expectation of being tested on their putting, and analogy instructions or explicit instructions, respectively. The next day all participants completed low- and high-pressure putting posttests, with their putting accuracy serving as the dependent variable.ResultsWe observed an Expectation x Instructions × Posttest interaction, such that a main effect of expectation was found in the low-pressure posttest, with the teach group exhibiting superior accuracy, and an Expectation × Instructions interaction was revealed for the high-pressure posttest. This interaction resulted from the teach group showing greater accuracy than the test group exclusively when receiving analogy instructions.ConclusionResults show that participants who practiced with the expectation of teaching exhibited superior learning and indicate that they choked under pressure likely due to their accrual of declarative knowledge during practice, since the choking effect was prevented by having them practice with analogy instructions. Accordingly, having learners practice with the expectation of teaching and techniques that minimize the accrual of declarative knowledge is recommended.     

Mechanisms of change: exploring not only when and what,but also how declarative memory develops

Age‐related changes in representational flexibility are a characteristic feature of declarative memory development. The authors suggest that a qualitative shift in the nature of infants' memory representations accounts for increasing memory flexibility with age. We will argue that a comprehensive theory of declarative memory development must (1) account for the effect of experience on flexibility, (2) be empirically separable from more parsimonious explanations, and (3) propose a mechanism by which the transition takes place. We will argue that a converging‐methods approach is necessary to understand not only when and what develops in declarative memory, but also how developmental change occurs. Copyright © 2006 John Wiley & Sons, Ltd.     

象似性和手语学习经验对中国手语-汉语跨模态语义启动效应的影响

采用启动条件下的词汇判断任务,考察熟练手语使用者和无手语经验成年听人的跨模态语义启动效应。结果发现：1)在象似词条件下,两组被试判断汉语语义相关词的反应时均快于语义无关词,说明手语象似词和汉语词之间存在跨模态语义启动效应。2)在非象似词条件下,仅手语熟练被试判断汉语语义相关词的反应时快于语义无关词,无手语经验被试判断汉语语义相关词和无关词的速度没有差异。这是由于前者心理词库中的手语词和口语词共享语义表征,而后者主要依赖手语象似词的视觉模拟性。整个研究表明,中国手语和汉语间存在跨模态语义启动效应,但该效应受到手语词象似性和手语学习经历的调节。     

Instruction and Practice in Learning to use a Device

We explore the extent to which Anderson's (1987) theory of knowledge compilation can account for the relationship between instructions and practice in learning to use a simple device. Bibby and Payne (1993) reported experimental support for knowledge compilation in this domain. This article replicates the finding of a performance cross-over between instruction type and task type that disappears with practice on the tasks. The research is extended by using verbal protocols to model the strategies of novice and more experienced individuals. Production system models of these strategies suggest that knowledge compilation only provides an adequate account of practice for one of two Instruction groups. To model the strategy shifts for the second group, we employ a “procedure modification heuristic” (after Neches, 1987), which relies on access to a declarative model of the configuration of the device. This suggests that instructionally derived declarative knowledge may have a subtle ongoing effect on the changes in procedural knowledge with practice.     

Cross-script phonological priming with Japanese Kanji primes and English targets

Two experiments investigated whether Japanese–English bilinguals have integrated phonological stores for their two languages using a masked phonological priming task with Japanese Kanji (logographic) primes and English targets. In both experiments, lexical decisions for English target words were facilitated by phonologically similar Kanji primes. Furthermore, the size of the phonological priming effect was uninfluenced by the participants' English proficiency or target word frequency, which suggests that the priming effect arose from feedback from sublexical phonological representations to lexical orthographic representations. Because of the orthographic and phonological differences between Japanese and English, these findings provide particularly strong support for the Bilingual Interactive Activation (BIA+) model's assumption that representations are integrated across languages.     

Operator and operand preview effects in simple addition and multiplication: A comparison of Canadian and Chinese adults

Using an arithmetic-based retrieval-induced forgetting (RIF) paradigm, researchers have found evidence that participants with very high arithmetic proficiency (Chinese adults), but not less-skilled participants (Canadian adults), solved some simple additions (e.g. 3 + 2) using fast procedural skills. Here we sought converging evidence for this using the operator-priming paradigm. Previous research testing simple addition and multiplication found that a 150-ms preview of the operator (+ or ×) facilitated only addition performance. This was taken as evidence that addition, but not multiplication, was solved by procedural algorithms that could be primed by presentation of the plus sign. In the present study, Chinese and Canadian adults (N = 144) were tested in the operator-priming paradigm but, in contrast to the RIF results, there was little evidence that operator-priming effects differed between the groups and robust operator priming was observed in both addition and multiplication. Thus, the operator preview results did not reinforce the results of previous research but the experiment revealed robust group differences in operand preview effects: For the Chinese, but not the Canadians, a preview of the numerical operands produced much greater facilitation for multiplication than addition. The fact that CN obtained a mean 103-ms gain for multiplication from the 150-ms preview of the operands strongly suggests that multiplication was their default operation in this paradigm. This result adds a potentially important new phenomenon to the behavioural distinctions between Chinese and North American adults' arithmetic skills.     

Repetition priming with aspect and agreement morphology in American Sign Language

Two experiments are reported which investigate the organization and recognition of morphologically complex forms in American Sign Language (ASL) using a repetition priming technique. Three major questions were addressed: (1) Is morphological priming a modality-independent process? (2) Do the different properties of agreement and aspect morphology in ASL affect priming strength? (3) Does early language experience influence the pattern of morphological priming? Prime-target pairs (separated by 26–32 items) were presented to deaf subjects for lexical decision. Primes were inflected for either agreement (dual, reciprocal, multiple) or aspect (habitual, continual); targets were always the base form of the verb. Results of Experiment 1 indicated that subjects exposed to ASL in late childhood were not as sensitive to morphological complexity as native signers, but this result was not replicated in Experiment 2. Both experiments showed stronger facilitation with aspect morphology compared to agreement morphology. Repetition priming was not observed for nonsigns. The scope and structure of the morphological rules for ASL aspect and agreement are argued to explain the different patterns of morphological priming.     

Effects of iconicity and semantic relatedness on lexical access in american sign language

Iconicity is a property that pervades the lexicon of many sign languages, including American Sign Language (ASL). Iconic signs exhibit a motivated, nonarbitrary mapping between the form of the sign and its meaning. We investigated whether iconicity enhances semantic priming effects for ASL and whether iconic signs are recognized more quickly than noniconic signs are (controlling for strength of iconicity, semantic relatedness, familiarity, and imageability). Twenty deaf signers made lexical decisions to the 2nd item of a prime-target pair. Iconic target signs were preceded by prime signs that were (a) iconic and semantically related, (b) noniconic and semantically related, or (c) semantically unrelated. In addition, a set of noniconic target signs was preceded by semantically unrelated primes. Significant facilitation was observed for target signs when they were preceded by semantically related primes. However, iconicity did not increase the priming effect (e.g., the target sign PIANO was primed equally by the iconic sign GUITAR and the noniconic sign MUSIC). In addition, iconic signs were not recognized faster or more accurately than were noniconic signs. These results confirm the existence of semantic priming for sign language and suggest that iconicity does not play a robust role in online lexical processing.     

Scent-evoked nostalgia

Declarative and non-declarative memories are thought be supported by two distinct memory systems that are often posited not to interact. However, Wagner, Maril, and Schacter (2000a) reported that at the time priming was assessed, greater behavioural and neural priming was associated with lower levels of subsequent recognition memory, demonstrating an interaction between declarative and non-declarative memory. We examined this finding using a similar paradigm, in which participants made the same or different semantic word judgements following a short or long lag and subsequent memory test. We found a similar overall pattern of results, with greater behavioural priming associated with a decrease in recognition and recall performance. However, neither various within-participant nor various between-participant analyses revealed significant correlations between priming and subsequent memory performance. These data suggest that both lag and task have effects on priming and declarative memory performance, but that they are largely independent and occur in parallel.