Working memory and number line representations in single-digit addition: Approximate versus exact,nonsymbolic versus symbolic

How do kindergarteners solve different single-digit addition problem formats? We administered problems that differed solely on the basis of two dimensions: response type (approximate or exact), and stimulus type (nonsymbolic, i.e., dots, or symbolic, i.e., Arabic numbers). We examined how performance differs across these dimensions, and which cognitive mechanism (mental model, transcoding, or phonological storage) underlies performance in each problem format with respect to working memory (WM) resources and mental number line representations. As expected, nonsymbolic problem formats were easier than symbolic ones. The visuospatial sketchpad was the primary predictor of nonsymbolic addition. Symbolic problem formats were harder because they either required the storage and manipulation of quantitative symbols phonologically or taxed more WM resources than their nonsymbolic counterparts. In symbolic addition, WM and mental number line results showed that when an approximate response was needed, children transcoded the information to the nonsymbolic code. When an exact response was needed, however, they phonologically stored numerical information in the symbolic code. Lastly, we found that more accurate symbolic mental number line representations were related to better performance in exact addition problem formats, not the approximate ones. This study extends our understanding of the cognitive processes underlying children's simple addition skills.     

Musical Training,Bilingualism, and Executive Function: A Closer Look at Task Switching and Dual‐Task Performance

This study investigated whether musical training and bilingualism are associated with enhancements in specific components of executive function, namely, task switching and dual‐task performance. Participants (n = 153) belonging to one of four groups (monolingual musician, bilingual musician, bilingual non‐musician, or monolingual non‐musician) were matched on age and socioeconomic status and administered task switching and dual‐task paradigms. Results demonstrated reduced global and local switch costs in musicians compared with non‐musicians, suggesting that musical training can contribute to increased efficiency in the ability to shift flexibly between mental sets. On dual‐task performance, musicians also outperformed non‐musicians. There was neither a cognitive advantage for bilinguals relative to monolinguals, nor an interaction between music and language to suggest additive effects of both types of experience. These findings demonstrate that long‐term musical training is associated with improvements in task switching and dual‐task performance.     

Internalising symptoms and verbal working memory in school‐age children: A processing efficiency analysis

The current study investigated differential contributions of internalising symptoms (state anxiety, trait anxiety, depression) to school‐age children's verbal short‐term (STM) and working memory (WM) span accuracy and efficiency (microanalysis of response times). Children's (N = 125, M_age = 11.44 years) STM/WM was assessed with simple/complex span tasks. Our analyses revealed that: (a) children with high levels of state anxiety displayed reduced simple span accuracy (on Word span) and poorer efficiency on both simple (preparatory intervals, interword pauses) and complex span (preparatory intervals) response time segments; (b) trait anxiety was a negative predictor of children's complex span accuracy, as well as their efficiency on both simple (word durations) and complex span (interword pauses) response time measures; (3) depressive symptoms predicted longer simple span interword pauses. Findings indicate that while all internalising symptoms were predictive of children's poorer memory search efficiency, especially during the “silent”, executive intervals (interword pauses), anxiety symptoms were specifically predictive of children's impaired span accuracy and other efficiency indicators (preparatory intervals, word durations). The study highlights the differential contributions of state, trait anxiety, and depressive symptoms to STM/WM in children, emphasising the need to measure both accuracy and efficiency to assess the role that such symptoms play in children's performance.     

Moving attention along the mental number line in preschool age: Study of the operational momentum in 3‐ to 5‐year‐old children's non‐symbolic arithmetic

People tend to underestimate subtraction and overestimate addition outcomes and to associate subtraction with the left side and addition with the right side. These two phenomena are collectively labeled 'operational momentum' (OM) and thought to have their origins in the same mechanism of 'moving attention along the mental number line'. OM in arithmetic has never been tested in children at the preschool age, which is critical for numerical development. In this study, 3–5 years old were tested with non‐symbolic addition and subtraction tasks. Their level of understanding of counting principles (CP) was assessed using the give‐a‐number task. When the second operand's cardinality was 5 or 6 (Experiment 1), the child's reaction time was shorter in addition/subtraction tasks after cuing attention appropriately to the right/left. Adding/subtracting one element (Experiment 2) revealed a more complex developmental pattern. Before acquiring CP, the children showed generalized overestimation bias. Underestimation in addition and overestimation in subtraction emerged only after mastering CP. No clear spatial‐directional OM pattern was found, however, the response time to rightward/leftward cues in addition/subtraction again depended on stage of mastering CP. Although the results support the hypothesis about engagement of spatial attention in early numerical processing, they point to at least partial independence of the spatial‐directional and magnitude OM. This undermines the canonical version of the number line‐based hypothesis. Mapping numerical magnitudes to space may be a complex process that undergoes reorganization during the period of acquisition of symbolic representations of numbers. Some hypotheses concerning the role of spatial‐numerical associations in numerical development are proposed.     

Positive and Negative Affects Facilitate Insight Problem‐Solving in Different Ways: A Study with Implicit Hints

This study investigates the influence of affective states on the use of implicit hints when solving insight problems. To examine this, two experiments were conducted, both with Duncker's (1945) radiation problem as an insight problem. When primed with a hint, positive affect inhibited the number of incorrect solutions generated in Experiment 1 and increased the number of correct solutions in Experiment 2. In contrast, negative affect enhanced the participants’ performance regardless of the presence of hints across the two experiments. These results indicate that positive and negative affect facilitate insight problem‐solving in different ways. It seems that positive affect implicitly prompts the acceptance of cues and broadens people's search of a problem space, and negative affect encourages people to intensively focus on solving the insight task. The results suggest a resolution of a long‐standing debate on the effectiveness of positive versus negative affect in solving a problem.     

Keeping the Result in Sight and Mind: General Cognitive Principles and Language‐Specific Influences in the Perception and Memory of Resultative Events

We study how people attend to and memorize endings of events that differ in the degree to which objects in them are affected by an action: Resultative events show objects that undergo a visually salient change in state during the course of the event (peeling a potato), and non‐resultative events involve objects that undergo no, or only partial state change (stirring in a pan). We investigate general cognitive principles, and potential language‐specific influences, in verbal and nonverbal event encoding and memory, across two experiments with Dutch and Estonian participants. Estonian marks a viewer's perspective on an event's result obligatorily via grammatical case on direct object nouns: Objects undergoing a partial/full change in state in an event are marked with partitive/accusative case, respectively. Therefore, we hypothesized increased saliency of object states and event results in Estonian speakers, as compared to speakers of Dutch. Findings show (a) a general cognitive principle of attending carefully to endings of resultative events, implying cognitive saliency of object states in event processing; (b) a language‐specific boost on attention and memory of event results under verbal task demands in Estonian speakers. Results are discussed in relation to theories of event cognition, linguistic relativity, and thinking for speaking.     

“Cuts in Action”: A High‐Density EEG Study Investigating the Neural Correlates of Different Editing Techniques in Film

In spite of their striking differences with real‐life perception, films are perceived and understood without effort. Cognitive film theory attributes this to the system of continuity editing, a system of editing guidelines outlining the effect of different cuts and edits on spectators. A major principle in this framework is the 180° rule, a rule recommendation that, to avoid spectators’ attention to the editing, two edited shots of the same event or action should not be filmed from angles differing in a way that expectations of spatial continuity are strongly violated. In the present study, we used high‐density EEG to explore the neural underpinnings of this rule. In particular, our analysis shows that cuts and edits in general elicit early ERP component indicating the registration of syntactic violations as known from language, music, and action processing. However, continuity edits and cuts‐across the line differ from each other regarding later components likely to be indicating the differences in spatial remapping as well as in the degree of conscious awareness of one's own perception. Interestingly, a time–frequency analysis of the occipital alpha rhythm did not support the hypothesis that such differences in processing routes are mainly linked to visual attention. On the contrary, our study found specific modulations of the central mu rhythm ERD as an indicator of sensorimotor activity, suggesting that sensorimotor networks might play an important role. We think that these findings shed new light on current discussions about the role of attention and embodied perception in film perception and should be considered when explaining spectators’ different experience of different kinds of cuts.