Age-Related Differences of Individuals' Arithmetic Strategy Utilization with Different Level of Math Anxiety

Estimation Strategy Utilization Is Modulated by Implicit Emotion Regulation: Evidence from Behavioral and Event-Related Potentials Studies

A large number of studies have studied the influence of emotional experience on an individual's estimation performance, but the influence of implicit emotion regulation is still unknown. Participants were asked to complete the following tasks in order: idiom matching task, multiplication computational estimation task (MCE task), gender judgment task (GJ task), and emotional experience intensity assessment task. The words matching task was adopted to achieve the purpose of implicit emotion regulation (implicit reappraisal and implicit suppression). Behavioral results showed that implicit reappraisal and implicit suppression equally contributed to improving an individual's estimation speed (but not ACC (accuracy)). The MCE task related ERP (event-related potential) results showed that the influence of implicit emotion regulation on estimation consisted of two phases. In the first phase (encoding phase), implicit reappraisal both enhanced (larger P1 amplitudes) and weakened (smaller N170 amplitudes) an individual's encoding sensitivity, while implicit suppression enhanced an individual's encoding sensitivity (larger P1 amplitudes). In the second phase (estimation strategies retrieval phase), implicit reappraisal (but not implicit suppression) cost more attention resources (larger LPC2 and LPC3 amplitudes). The present study suggested that both implicit reappraisal and implicit suppression contributed to improving an individual's estimation performance, and the regulation effect of implicit suppression (vs. implicit reappraisal) was better.

Estimation Strategy Selection Is Modulated by Snapshot Emotional Priming, but Not Math Anxiety

The present study explored the role of snapshot emotional priming and math anxiety in estimation strategy selection. Participants were asked to complete a two-digit multiplication estimation task (e.g., 34 × 67) under explicit (Experiment 1) and implicit (Experiment 2) snapshot emotional priming conditions by freely choosing to use DU (down-up, e.g., doing 30 × 70 = 2100 for 34 × 67) or UD (up-down, e.g., doing 40 × 60 = 2400 for 34 × 67) strategies to arrive as close as possible to the correct answer. In Experiment 1, individuals' estimation performance was positively influenced by explicit happy priming (shorter RT (reaction time)), while not affected by explicit fear priming. In Experiment 2, individuals' estimation ACC (accuracy) when using the UD strategy was negatively affected by both implicit happy and fear priming, but their RT when using DU and UD strategies was positively impacted by implicit happy priming. In both experiments, the correlations between math anxiety and estimation performance (ACC, RT, and strategy selection adaptivity) was not significant. The present study suggests that fear priming was not always detrimental to individuals' estimation performance, and happy priming did not always universally improve individuals' estimation performance. Additionally, estimation strategy selection was not influenced by math anxiety.

Arithmetic performance is modulated by cognitive reappraisal and expression suppression: Evidence from behavioral and ERP findings

Previous studies have shown that negative emotional experiences are detrimental to individual's arithmetic performance, and no study has investigated whether such negative influence can be improved through emotional regulation. This study aimed to explore the relationship between emotion regulation and individual's performance in completing arithmetic problem verification task. Participants were asked to complete arithmetic problem verification task using the down-up strategy (e.g., doing 30 × 70 = 2100 for 34 × 67), under neutral, happy, and fear priming conditions, during which they were asked to regulate their emotional experience by using cognitive reappraisal or expressive suppression. Behavioral results showed that, under happy priming condition, cognitive reappraisal (but not expression suppression) contributed to improving individual's estimation speed. Additionally, under happy and fear priming conditions, cognitive reappraisal (vs. expression suppression) reduced individuals' emotional experience intensity. The arithmetic problem verification task-related ERP results showed that the P1 amplitudes elicited by using cognitive reappraisal (vs. freely view) were larger under happy and fear priming conditions, but the P1 amplitudes elicited by using expression suppression were larger only under happy condition. Meanwhile, the corresponding N170 amplitudes were smaller when using cognitive reappraisal and expression suppression (vs. freely view). Additionally, using cognitive reappraisal (vs. expression suppression) cost less cognitive resource (smaller LPC amplitudes). The present study indicated that both cognitive reappraisal and expression suppression contributed to improving individual's arithmetic performance, and the regulation effect of cognitive reappraisal was better than that of expression suppression.

Effects of presentation modality and duration on children's strategy use: A study in computational estimation

Two experiments were run to determine how presentation modality and duration influence children's arithmetic performance and strategy selection. Third and fourth graders were asked to find estimates for two-digit addition problems (e.g., 52 + 39). Children were tested in three conditions: (1) time-unlimited visual, (2) time-limited visual, or (3) time-limited auditory conditions. Moreover, we assessed children's working-memory updating and arithmetic fluency. Children were told which strategy to use on each problem to assess arithmetic performance while executing strategies, in Experiment 1, and were asked to choose the best strategy of three available strategies to assess strategy selection, in Experiment 2. Presentation modality influenced strategy execution (i.e., children were faster and more accurate in problems under visual than auditory conditions) but only in children with low updating abilities. In contrast, presentation modality had no effect on children's strategy selection. Presentation duration had an effect on both strategy execution and strategy selection with time-limited presentation leading to a decline in children's performance. Interestingly, specifically in children with low updating abilities, time-limited presentation led to poorer performance. Hence, efficient updating seemed to compensate for detrimental effects of auditory in comparison to visual and time-limited in comparison to time-unlimited presentation. These findings have important implications for determining conditions under which children execute strategies most efficiently and select the best strategy on each problem most often, as well as for understanding mechanisms underlying strategic behaviour.

Implicit happy and fear experience contributes to computational estimation strategy execution: Behavioral and neurophysiological evidence

Previous study have explored the influence of explicit emotion priming on computational estimation strategy execution, but the corresponding influence of implicit emotion priming still remains unknown. The present study aimed to solve this problem. Participants were asked to complete two-digit multiplication computational estimation task, under different implicit emotion priming conditions (gender judgment task). In the two-digit multiplication computational estimation task, the computational estimation question was presented in the middle of the screen, meanwhile, two alternative answers were presented side by side at the bottom of the screen, participants were required to select which answer is correct, by using the down-up strategy (e.g., doing 30 × 50 = 1500 for 34 × 46). Behavioral results showed that the response speed under implicit happy and fear (vs. neutral and angry) priming conditions was quicker, and the accuracy under different priming conditions showed no significant difference. The ERP results showed that the influence of implicit emotion priming on computational estimation strategy execution consisted of two phases: in the first phase, the N1 amplitudes elicited by completing the multiplication computational estimation task were smaller under implicit fear (vs. angry) priming condition; in the second phase, the corresponding P2 amplitudes under implicit happy (vs. fear) priming condition were smaller. The present study indicated that implicit happy and fear experience contributed to complete computational estimation tasks, suggesting that implicit negative emotional (e.g., fear) experience was not always detrimental to computational estimation strategy execution.

Developmental trajectories of strategy use in children with mathematical anxiety

The main goal of the present study was to explore strategy selection in high mathematical anxiety (MA) individuals, and to test the role of development in the selection of strategy. We tested 2nd, 3rd and 5th graders with high or low MA in simple and complex addition problems. Participants first solved the problems and were then asked to report the strategy that they used. During elementary school, typically developing children change strategy use. In the first years backup strategies of counting are very frequent, but with maturation and schooling, they can shift to memory- based strategies. Hence, we tested finger counting and advanced memory based strategies in high MA children. In finger counting, high MA children showed developmental delay. For example, in the third grade, low MA children stopped using finger counting, while high MA participants continued to use it. However, in the case of advanced strategy use, we found a different pattern: regardless of age, high MA children used less advanced strategies than low MA participants. Moreover, usage of advanced memory based strategies was modulated by visuospatial working memory abilities in the two groups. The present results suggest that the MA participant has atypical developmental trajectories in strategy use.

Emotional valence modulates arithmetic strategy execution in priming paradigm: an event-related potential study

Combined with the prime paradigm, the present study aimed to explore the influence of emotion (anger, fear, happiness, and neutral) on performing multiplication estimation. Participants were asked to complete a two-digit multiplication estimation task using the down-up strategy (e.g., doing 20 × 80 = 1600 for 24 × 79). Behavioral results showed that the reaction time for completing multiplication estimation tasks under happy conditions was shorter than for those under anger and fear, and it was shorter under neutral than under fearful conditions. The ERP results showed that about 100 ms after multiplication estimation task onset, multiplication estimation execution in the context of happiness (vs. neutral) elicited smaller P1 amplitudes; about 170 ms after multiplication estimation task onset, the N170 amplitudes elicited by multiplication estimation strategy execution under different emotional priming conditions showed no significant differences. The above results showed that the impact of emotion priming demonstrates the occurrence of a dynamic process when participants use a specified strategy to complete the multiplication estimation task. The present study revealed that emotional valence modulated arithmetic strategy execution, suggesting the role of different emotions should be fully considered in similar study.

A meta-analysis of the relation between math anxiety and math achievement

Meta-analyses from the 1990s previously have established a significant, small-to-moderate, and negative correlation between math achievement and math anxiety. Since these publications, research has continued to investigate this relation with more diverse samples and measures. Thus, the goal of the present meta-analysis was to provide an update of the math anxiety-math achievement relation and its moderators. Analyzing 747 effect sizes accumulated from research conducted between 1992 and 2018, we found a small-to-moderate, negative, and statistically significant correlation (r = -.28) between math anxiety and math achievement. The relation was significant for all moderator subgroups, with the exception of the relation between math anxiety and assessments measuring the approximate number system. Grade level, math ability level, adolescent/adult math anxiety scales, math topic of anxiety scale, and math assessments were significant moderators of this relation. There is also a tendency for published studies to report significantly stronger correlations than unpublished studies, but overall, large, negative effect sizes are underreported. Our results are consistent with previous findings of a significant relation between math anxiety and math achievement. This association starts in childhood, remains significant through adulthood, is smaller for students in Grades 3 through 5 and postsecondary school, is larger for math anxiety than for statistics anxiety and for certain math anxiety scales, and is smaller for math exam grades and samples selected for low math ability. This work supports future research efforts to determine effective math achievement and math anxiety interventions, which may be most helpful to implement during childhood. (PsycInfo Database Record (c) 2021 APA, all rights reserved).

How mathematics anxiety affects students' inflexible perseverance in mathematics problem-solving: Examining the mediating role of cognitive reflection

BACKGROUND

Too many students persevere in relying upon one (sometimes suboptimal) strategy for solving a wide range of problems, even when they know more efficient strategies. Although many studies have mentioned such phenomena, few studies have examined how emotional factors could affect this type of inflexible perseverance in strategy use.

AIMS

To examine whether mathematics anxiety could affect students' inflexible perseverance in strategy use and whether this effect could be mediated by cognitive reflection, which is the ability to engage in deliberate reasoning.

SAMPLE AND METHOD

In Study 1, 164 undergraduate students' (18-22 years) mathematics anxiety, cognitive reflection, and performance in overcoming inflexible perseverance were measured by a questionnaire battery. Structural equation models were used to examine the correlations between these variables. In Study 2, 98 undergraduate freshmen (17-18 years) were assigned to two groups, where one group's mathematics anxiety was temporarily induced by task instructions, while the other group served as a control group. Cognitive reflection and inflexible perseverance of the two groups were compared.

RESULTS

Study 1 showed that mathematics anxiety was negatively correlated with students' performance on overcoming inflexible perseverance, while cognitive reflection mediated such an effect. Study 2 showed that compared to the control group, the experimental group showed lower cognitive reflection, which led to lower performance in overcoming inflexible perseverance.

CONCLUSIONS

Mathematics anxiety was showed to impair students' ability to engage in deliberate reasoning and was associated with inflexible use of strategies. Alleviating students' mathematics anxiety should be considered when promoting students' strategic flexibility.

Non-adaptive strategy selection in adults with high mathematical anxiety

Participants with mathematical anxiety (MA) tend to show particular difficulty in mathematical operations with high working memory (WM) demands compared to operations with lower WM demands. Accordingly, we examined strategy selection to test the cognitive mechanism underlying the observed weakness of high MA participants in mathematical operations with high WM demands. We compared two groups of college students with high or low MA, in the solution of simple non-carry addition problems (e.g., 54 + 63) and complex carryover addition problems (e.g., 59 + 63). The results indicated that high MA participants showed particular difficulty in the harder carry condition. Testing the strategy selection mechanism among high MA participants, we found in the carry condition 1) they used the common strategy less often compared to low MA participants and 2) employed unusual strategies more often compared to low MA participants. Therefore, high MA participants were less efficient in their strategy selection, which may be due to weaker spatial representations, numerical difficulties, or less experience solving complex problems. These primitive representations are not adaptive, and can negatively impact performance in math tasks with high WM demands.

The Central Executive Mediates the Relationship Between Children's Approximate Number System Acuity and Arithmetic Strategy Utilization in Computational Estimation

Studies investigating the relationship between working memory (WM) and approximate number system (ANS) acuity in the area of arithmetic strategy utilization are scarce. The choice/no choice method paradigm was used in the present study to determine whether and how ANS acuity and WM components affected strategy utilization. The results showed that the central executive (CE) mediated the relationship between ANS acuity and strategy utilization. Furthermore, quantile regression analyses revealed that the association between CE and strategy choice was robust from the first to highest quantile. Notably, the relationship between ANS acuity and strategy choice was significant at the median and higher quantiles (i.e., 0.5, 0.75, and 0.85 quantiles), but not significant at lower quantiles (i.e., 0.15 and 0.25 quantiles). These results suggest that domain-general skills play a crucial role in the relationship between children's ANS acuity and mathematical ability. The impact of ANS acuity and CE on strategy choice was dependent on the distribution of the strategy utilization level. These results provide a further understanding of the utilization of cognitive strategies.