Within mathematical cognition, the development of conceptual knowledge is seen as critical to developing understanding. Sleep has been well established to play a role in the consolidation of newly learned information and schema-based information but has yet to be explored within mathematical cognition. Across three experiments, participants (N = 167) were assigned to a sleep or wake group and then viewed lectures on either p-values, t-test, or z-scores. The sleep group watched the lecture at 9 p.m., completed an immediate recall task to explain the concept, then a second recall task 12 hr later at 9 a.m. The wake groups watched the lecture at 9 a.m. and completed an immediate recall task then a second recall task 12 hr later at 9 p.m. Written responses were then assessed using a comparative judgement task by subject experts. Across all three experiments, results showed that participants in the sleep group retained their knowledge from the immediate recall to 12 hr later, whereas in the wake group, participants' knowledge declined significantly between sessions. These results suggest that sleep may be involved in an important process of maintaining the information learned from statistical concepts.

Some foreign language words are much easier to learn than others. This can be due to a variety of factors such as concreteness and word type. Cross-linguistic orthographic similarity, whether the combination and position of letters within words conform to native language spelling rules, also plays an important role. Very little is known however, about the effect of cross-linguistic orthographic similarity in different learning contexts. The current research therefore examines this with participants learning Welsh (Study 1) and Polish (Study 2) words through incidental and intentional learning tasks before completing meaning recall and translation recognition tasks. Cross-linguistic orthographic similarity was measured using the comparative judgement approach. Using mixed-effects models, both studies revealed robust effects of both cross-linguistic orthographic similarity and learning contexts. Crucially, the data showed very little learning for cross-linguistically dissimilar items especially in the incidental learning context with implications for teaching and learning.

Within mathematical cognition the development of conceptual knowledge is seen as critical to developing understanding. Sleep has been well established to play a role in the consolidation of newly learned information and schema-based information but has yet to be explored within mathematical cognition. Across three experiments participants (N = 152) were assigned to a sleep or wake condition and then viewed lectures on either p-values, t-test, or z-scores. The sleep condition watched the lecture at 9pm, completed an immediate recall task to explain the concept, then a second recall task 12h later at 9am. The wake conditions watched the lecture at 9am, completed an immediate recall task then a second recall task 12h later at 9pm. Written responses were then assessed using a comparative judgement task by subject experts. Across all three experiments, results showed that participants in the sleep condition retained their knowledge from the immediate recall to 12 hours later, while in the wake condition, participants’ knowledge declined significantly between sessions. These results suggest that sleep may be involved in an important process of maintenance of learned information of mathematical concepts.

Research suggests new foreign language (FL) words are learned more easily if their phonology follows the phonotactic rules of the native language. Very little is known, however, about the impact of orthography on FL learning. This study investigated the cognitive mechanisms supporting the learning of words with familiar and unfamiliar orthographies. Participants took part in learning and meaning recall tasks, as well as a series of cognitive tasks (short-term and working memory tasks and tasks assessing their phonological and acoustic abilities). Orthographic and phonological familiarity judgments were collected using another sample of participants. Using a mixed-effects model, the results showed that orthographic familiarity impacted FL word learning even after controlling for phonological familiarity. However, there were no interactions with cognitive abilities.

ABSTRACT Two experiments investigated individual differences in the integration of visual and linguistic constraints during syntactic ambiguity resolution. Skilled adult comprehenders heard sentences like “Put the kiwi on the rectangle on the circle”, in which “on the rectangle … ” could temporarily reflect either the destination of “put” or a modifier of “kiwi”, while viewing visual arrays with either 1 kiwi (e.g. on a rectangle) or 2 kiwis (e.g. on a rectangle vs. triangle). While the noun “kiwi” provided sufficient information to distinguish the object of interest in the 1 referent context, modification was necessitated by the 2 referent context. Garden path eye (Experiment 1) and mouse (Experiment 2) movements to the incorrect (e.g. rectangle) destination were reduced in 2 vs 1 referent contexts, conceptually replicating prior findings, and these effects were weaker for participants with less vs. more vocabulary knowledge. Implications for models of sentence processing are discussed.

Semantically related concepts are coactivated during spoken word comprehension. Two internet-mediated cursor-tracking experiments examined the spatiotemporal dynamics of this coactivation. Participants viewed visual arrays containing images of a target (e.g., accordion) and a semantically related (e.g., banjo) or unrelated (e.g., plum) distractor whilst hearing the target word (e.g., “accordion”). Participants were tasked with moving their cursor from the bottom of the visual array to the target in one of the upper corners. In contrast to Experiment 1, the onset of stimulus presentation was triggered by cursor movement in Experiment 2. Across both experiments, temporal (e.g., RT) and spatial (e.g., AUC) measures revealed significantly greater attraction to images of semantically related compared with unrelated distractors. These results reveal that online cursor-tracking methods are sensitive to semantic competition and suitable for studying the activation of semantic knowledge during language comprehension.

To become fluent in a second language, learners need to acquire a large vocabulary. However, the cognitive and affective mechanisms that support word learning, particularly among second language learners, are only beginning to be understood. Prior research has focused on intentional learning and small artificial lexicons. In the current study investigating the sources of individual variability in word learning and their underlying mechanisms, participants intentionally and incidentally learned a large vocabulary of Welsh words (i.e., emulating word learning in the wild) and completed a large battery of cognitive and affective measures. The results showed that, for both learning conditions, native language knowledge, auditory/phonological abilities and orthographic sensitivity all made unique contributions to word learning. Importantly, short-term/working memory played a significantly larger role in intentional learning. We discuss these results in the context of the mechanisms that support both native and non-native language learning.

Context Effective handwashing can prevent the spread of germs, including Covid-19. However, young children can lack a fundamental understanding of germ transfer. A Germ’s Journey educational resources were designed to support young children in learning about germs and handwashing. These resources include a book, website, song, online games and glo-gel activities that are informed by a behaviour change model. Research gap Prior research has not evaluated the impacts of these resources on behavioural outcomes. Purpose of the study Two intervention studies evaluated the impacts of these resources on both knowledge and behavioural outcomes. Method In Study 1, children (n = 225) were recruited from four schools and randomly assigned by classrooms to participate in a multicomponent intervention (vs. control). In Study 2, children (n = 104) were recruited from a museum and randomly assigned to participate in a song intervention (vs. control). Trained observers recorded participants’ engagement in six handwashing behaviours and their understanding of germs. These behavioural and knowledge outcomes were analysed using regression and related analyses. Results In Study 1, significant improvements were observed between baseline and follow up in the intervention group for both behavioural scores (Est = 0.48, SE = 0.14, t = 3.30, p = 0.001) and knowledge scores (Est = 2.14, SE = 0.52, z = 4.11, p < 0.001), whereas these improvements were not observed in the control group (ts < 1). In Study 2, the intervention group had significantly higher behavioural scores compared to the control group (Est. = -0.71, SE = 0.34, t = -2.07, p = 0.04). Conclusion This research demonstrates that specifically designed hand hygiene educational resources can improve handwashing practice and understanding in young children, and could lead to the reduction of the transmission of disease within this group.

An impediment to conducting high‐quality quantitative research studies in education is the paucity of valid measures of learning gains. Studies often seek to investigate students’ deep, conceptual understanding yet many measures assess only surface, procedural understanding. One reason is that the development of validated measures of conceptual understanding is resource intensive and time consuming, and success is not guaranteed. We evaluated a novel and efficient technique, based on comparative judgement, for assessing conceptual understanding. We applied the technique to a randomised controlled trial in which students were taught simple algebra based on either the Grid Algebra or the MiGen software package. The participants were Year 5 students (N = 188) drawn from four primary schools who had not encountered algebra previously. An instrument from the literature (Concepts in Secondary Mathematics and Science: Algebra Scale) and a novel comparative judgement assessment were administered following the intervention. Students in the Grid Algebra condition outperformed those in the MiGen condition on both post‐test measures. The comparative judgement technique performed similarly to the standard instrument but was far more efficient to design and implement. The technique can, in principle, be quickly applied to any target concept of interest. We conclude that comparative judgement is a valid, reliable and practical tool that could help to increase both the quantity and quality of quantitative research in education.

An ongoing debate concerns whether novel mathematical concepts are better learned using contextualised or decontextualised representations. A barrier to resolving this debate, and therefore to progress in the discipline, has been the paucity of validated methods of measuring students' understanding of mathematical concepts. We developed an innovative and efficient method for measuring, in experimental settings, students' understanding of any mathematical concept using comparative judgement. We demonstrate the method by applying it to the comparison of learning outcomes from two teaching conditions. Participants (260 15-16 year olds across six schools) were introduced to differential calculus using contextualised or decontextualised representations. We then assessed participants' comparative conceptual understanding of derivatives. We found evidence that contextualised and decontextualised representations were equally effective at promoting student learning in this context. The assessment method yielded valid and reliable results, suggesting that it offers a robust and efficient approach for the problem of assessing conceptual understanding in experimental or other comparative settings.

The importance of improving students’ understanding of core concepts in mathematics is well established. However, assessing the impact of different teaching interventions designed to improve students’ conceptual understanding requires the validation of adequate measures. Here we propose a novel method of measuring conceptual understanding based on comparative judgement (CJ). Contrary to traditional instruments, the CJ approach allows test questions for any topic to be developed rapidly. In addition, CJ does not require a detailed rubric to represent conceptual understanding of a topic, as it is instead based on the collective knowledge of experts. In the current studies, we compared CJ to already established instruments to measure three topics in mathematics: understanding the use of p-values in statistics, understanding derivatives in calculus, and understanding the use of letters in algebra. The results showed that CJ was valid as compared to established instruments, and achieved high reliability. We conclude that CJ is a quick and efficient alternative method of measuring conceptual understanding in mathematics and could therefore be particularly useful in intervention studies.

This paper reports on a collaborative exercise designed to generate a coherent agenda for research on mathematical cognition. Following an established method, the exercise brought together 16 mathematical cognition researchers from across the fields of mathematics education, psychology and neuroscience. These participants engaged in a process in which they generated an initial list of research questions with the potential to significantly advance understanding of mathematical cognition, winnowed this list to a smaller set of priority questions, and refined the eventual questions to meet criteria related to clarity, specificity and practicability. The resulting list comprises 26 questions divided into six broad topic areas: elucidating the nature of mathematical thinking, mapping predictors and processes of competence development, charting developmental trajectories and their interactions, fostering conceptual understanding and procedural skill, designing effective interventions, and developing valid and reliable measures. In presenting these questions in this paper, we intend to support greater coherence in both investigation and reporting, to build a stronger base of information for consideration by policymakers, and to encourage researchers to take a consilient approach to addressing important challenges in mathematical cognition.

This paper reports on a collaborative exercise designed to generate a coherent agenda for research on mathematical cognition. Following an established method, the exercise brought together 16 mathematical cognition researchers from across the fields of mathematics education, psychology and neuroscience. These participants engaged in a process in which they generated an initial list of research questions with the potential to significantly advance understanding of mathematical cognition, winnowed this list to a smaller set of priority questions, and refined the eventual questions to meet criteria related to clarity, specificity and practicability. The resulting list comprises 26 questions divided into six broad topic areas: elucidating the nature of mathematical thinking, mapping predictors and processes of competence development, charting developmental trajectories and their interactions, fostering conceptual understanding and procedural skill, designing effective interventions, and developing valid and reliable measures. In presenting these questions in this paper, we intend to support greater coherence in both investigation and reporting, to build a stronger base of information for consideration by policymakers, and to encourage researchers to take a consilient approach to addressing important challenges in mathematical cognition.

This study used eye tracking to investigate the allocation of attention to multimodal stimuli during an incidental learning situation, as well as its impact on subsequent explicit learning. Participants were exposed to foreign language (FL) auditory words on their own, in conjunction with written native language (NL) translations, or with both written NL translations and pictures. Incidental acquisition of FL words was assessed the following day through an explicit learning task where participants learned to recognize translation equivalents, as well as one week later through recall and translation recognition tests. Results showed higher accuracy scores in the explicit learning task for FL words presented with meaning during incidental learning, whether written meaning or both written meaning and picture, than for FL words presented auditorily only. However, participants recalled significantly more FL words after a week delay if they had been presented with a picture during incidental learning. In addition, the time spent looking at the pictures during incidental learning significantly predicted recognition and recall scores one week later. Overall, results demonstrated the impact of exposure to multimodal stimuli on subsequent explicit learning, as well as the important role that pictorial information can play in incidental vocabulary acquisition.

Prior research has reported incidental vocabulary acquisition with complete beginners in a foreign language (FL), within 8 exposures to auditory and written FL word forms presented with a picture depicting their meaning. However, important questions remain about whether acquisition occurs with fewer exposures to FL words in a multimodal situation and whether there is a repeated exposure effect. Here we report a study where the number of exposures to FL words in an incidental learning phase varied between 2, 4, 6, and 8 exposures. Following the incidental learning phase, participants completed an explicit learning task where they learned to recognize written translation equivalents of auditory FL word forms, half of which had occurred in the incidental learning phase. The results showed that participants performed better on the words they had previously been exposed to, and that this incidental learning effect occurred from as little as 2 exposures to the multimodal stimuli. In addition, repeated exposure to the stimuli was found to have a larger impact on learning during the first few exposures and decrease thereafter, suggesting that the effects of repeated exposure on vocabulary acquisition are not necessarily constant.

This article reports the findings of an empirical study that uses eye-tracking and follow-up interviews as methods to investigate how participants read body language clusters in novels by Charles Dickens. The study builds on previous corpus stylistic work that has identified patterns of body language presentation as techniques of characterisation in Dickens (Mahlberg, 2013). The article focuses on the reading of 'clusters', that is, repeated sequences of words. It is set in a research context that brings together observations from both corpus linguistics and psycholinguistics on the processing of repeated patterns. The results show that the body language clusters are read significantly faster than the overall sample extracts which suggests that the clusters are stored as units in the brain. This finding is complemented by the results of the follow-up questions which indicate that readers do not seem to refer to the clusters when talking about character information, although they are able to refer to clusters when biased prompts are used to elicit information. Beyond the specific results of the study, this article makes a contribution to the development of complementary methods in literary stylistics and it points to directions for further subclassifications of clusters that could not be achieved on the basis of corpus data alone.

Prior research has reported incidental vocabulary acquisition with complete beginners in a foreign language (FL), within 8 exposures to auditory and written FL word forms presented with a picture depicting their meaning. However, important questions remain about whether acquisition occurs with fewer exposures to FL words in a multimodal situation and whether there is a repeated exposure effect. Here we report a study where the number of exposures to FL words in an incidental learning phase varied between 2, 4, 6, and 8 exposures. Following the incidental learning phase, participants completed an explicit learning task where they learned to recognize written translation equivalents of auditory FL word forms, half of which had occurred in the incidental learning phase. The results showed that participants performed better on the words they had previously been exposed to, and that this incidental learning effect occurred from as little as 2 exposures to the multimodal stimuli. In addition, repeated exposure to the stimuli was found to have a larger impact on learning during the first few exposures and decrease thereafter, suggesting that the effects of repeated exposure on vocabulary acquisition are not necessarily constant.