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1. Comorbid learning difficulties in reading and mathematics: The role of intelligence and in-class attentive behavior

   https://doi.org/doi/10.3389/fpsyg.2020.572099  

   Geary, D. C. (October 2020, Frontiers in psychology)

   null (Ed.)

   The goal was to identify the domain-general cognitive abilities and academic attitudes that are common and unique to reading and mathematics learning difficulties that in turn will have implications for intervention development. Across seventh and eighth grade, 315 (155 boys) adolescents (M age = 12.75 years) were administered intelligence, verbal short-term and working memory, and visuospatial memory, attention, and ability measures, along with measures of English and mathematics attitudes and mathematics anxiety. Teachers reported on students’ in-class attentive behavior. A combination of Bayesian and multi-level models revealed that intelligence and in-class attentive behavior were common predictors of reading accuracy, reading fluency, and mathematics achievement. Verbal short-term memory was more critical for reading accuracy and fluency, whereas spatial ability and mathematics self-efficacy were more critical for mathematics achievement. The combination of intelligence and in-class attentive behavior discriminated typically-achieving students from students with comorbid (D = 2.44) or mathematics (D = 1.59) learning difficulties, whereas intelligence, visuospatial attention, and verbal short-term memory discriminated typically-achieving students from students with reading disability (D = 1.08). The combination of in-class attentive behavior, verbal short-term memory, and mathematics self-efficacy discriminated students with mathematics difficulties from their peers with reading difficulties (D = 1.16). Given the consistent importance of in-class attentive behavior, we conducted post hoc follow-up analyses. The results suggested that students with poor in-class attentive behavior were disengaging from academic learning which in turn contributed to their risk of learning difficulties. 

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2. Arithmetic operations without symbols are unimpaired in adults with math anxiety

   https://doi.org/10.1177/17470218221113555  

   Zaleznik, Eli; Comeau, Olivia; Park, Joonkoo (June 2022, Quarterly Journal of Experimental Psychology)

   This study characterises a previously unstudied facet of a major causal model of math anxiety. The model posits that impaired “basic number abilities” can lead to math anxiety, but what constitutes a basic number ability remains underdefined. Previous work has raised the idea that our perceptual ability to represent quantities approximately without using symbols constitutes one of the basic number abilities. Indeed, several recent studies tested how participants with math anxiety estimate and compare non-symbolic quantities. However, little is known about how participants with math anxiety perform arithmetic operations (addition and subtraction) on non-symbolic quantities. This is an important question because poor arithmetic performance on symbolic numbers is one of the primary signatures of high math anxiety. To test the question, we recruited 92 participants and asked them to complete a math anxiety survey, two measures of working memory, a timed symbolic arithmetic test, and a non-symbolic “approximate arithmetic” task. We hypothesised that if impaired ability to perform operations was a potential causal factor to math anxiety, we should see relationships between math anxiety and both symbolic and approximate arithmetic. However, if math anxiety relates to precise or symbolic representation, only a relationship between math anxiety and symbolic arithmetic should appear. Our results show no relationship between math anxiety and the ability to perform operations with approximate quantities, suggesting that difficulties performing perceptually based arithmetic operations do not constitute a basic number ability linked to math anxiety. 

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3. The causal impact of objective numeracy on judgments: Improving numeracy via symbolic and non-symbolic approximate arithmetic training yields more consistent risk judgments

   https://doi.org/10.5964/jnc.6925  

   Chesney, Dana L.; Shoots-Reinhard, Brittany; Peters, Ellen (January 2021, Journal of Numerical Cognition)

   Park and Brannon (2013, https://doi.org/10.1177/0956797613482944) found that practicing non-symbolic approximate arithmetic increased performance on an objective numeracy task, specifically symbolic arithmetic. Manipulating objective numeracy would be useful for many researchers, particularly those who wish to investigate causal effects of objective numeracy on performance. Objective numeracy has been linked to performance in multiple areas, such as judgment-and-decision-making (JDM) competence, but most existing studies are correlational. Here, we expanded upon Park and Brannon’s method to experimentally manipulate objective numeracy and we investigated whether numeracy’s link with JDM performance was causal. Experimental participants drawn from a diverse internet sample trained on approximate-arithmetic tasks whereas active control participants trained on a spatial working-memory task. Numeracy training followed a 2 × 2 design: Experimental participants quickly estimated the sum of OR difference between presented numeric stimuli, using symbolic numbers (i.e., Arabic numbers) OR non-symbolic numeric stimuli (i.e., dot arrays). We partially replicated Park and Brannon’s findings: The numeracy training improved objective-numeracy performance more than control training, but this improvement was evidenced by performance on the Objective Numeracy Scale, not the symbolic arithmetic task. Subsequently, we found that experimental participants also perceived risks more consistently than active control participants, and this risk-consistency benefit was mediated by objective numeracy. These results provide the first known experimental evidence of a causal link between objective numeracy and the consistency of risk judgments. 

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4. Math and health and financial numeracy in college students

   Cirino, PT; Boada, C; Salentine, C; Wall, J; vanTerheyden, S (February 2025, International Neuropsychological Society)

   Objective There are many measures of health and/or financial literacy and/or numeracy, which vary widely in terms of length, content, and the extent to which numbers or math operations are involved. Although the literature is large, there is less considers what is known about math prediction and development, perhaps because the bulk of this literature is with adults. This is important because the literature on how math develops, what predicts it, and how to intervene with it, is very large (Cirino, 2022). To the extent that performance and prediction are similar, then information from the developmental literature of mathematics can be brought to bear with regard to health and financial numeracy. Here we assess math cognition variables (arithmetic concepts and number line estimation) alongside working memory, likely the most robust cognitive predictor of math, as well as sociodemographic covariates. We expect all predictors to relate to each type of outcome, though we expect reading to be more related to health and financial numeracy relative to symbolic math. Participants and Methods Participants were 238 young adults, diverse in language and race/ethnicity, enrolled in their first and entry-level college math class at either community college or university; approximately 30% were taking developmental coursework. For this study, participants were given three sets of analogous math problems: (a) pure symbolic; (b) health numeracy context; (c) financial numeracy context. Additional measures were of reading (KTEA-3 Reading Comprehension), math cognition (Arithmetic Concepts and Number Line Estimation), and complex span working memory (Symmetry Span and Reading Span). Correlations assessed relations, and multiple regression assessed prediction. Results All measures involving math correlated, though symbolic math less well than health and financial numeracy with one another. For symbolic math, math cognition and working memory together accounted for R2=56% variance, and all were unique predictors, with arithmetic concepts strongest (ηp2 = .19). For health numeracy, all predictors also accounted for R2=56% variance. Beyond symbolic math, math cognition and working memory were unique predictors (all p < .05); reading comprehension was not. The clearly strongest unique predictor was number line estimation (ηp2 = .06). For financial numeracy, all predictors accounted for R2=61% variance. Beyond symbolic math and reading comprehension, again math cognition and working memory were unique predictors (all p < .05), and again number line estimation was the strongest (ηp2 = .08). Results held with covariate control. Conclusions Math cognition and working memory are known important contributors to math skill. This study shows these to be equally important whether math is in a pure symbolic context, or a health and or financial context. This suggests that the utility of health and financial numeracy measures (and potentially the constructs themselves) needs to consider the underlying concomitants of math skill more generally, particularly as the extent to which numbers and/or specific math operations are used in such measures varies widely. Context is likely important, however, and future work will need to consider practical outcomes (e.g., risky health or financial behaviors and management) across a range of populations. 

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5. Examining relations between performance on non‐verbal executive function and verbal self‐regulation tasks in demographically‐diverse populations

   https://doi.org/10.1111/desc.13228  

   Dutra, Natália B.; Chen, Lydia; Anum, Adote; Burger, Oskar; Davis, Helen E.; Dzokoto, Vivian A.; Fong, Frankie T. K.; Ghelardi, Sabrina; Mendez, Kimberly; Messer, Emily J. E.; et al (January 2022, Developmental Science)

   Abstract Self‐regulation is a widely studied construct, generally assumed to be cognitively supported by executive functions (EFs). There is a lack of clarity and consensus over the roles of specific components of EFs in self‐regulation. The current study examines the relations between performance on (a) a self‐regulation task (Heads, Toes, Knees Shoulders Task) and (b) two EF tasks (Knox Cube and Beads Tasks) that measure different components of updating: working memory and short‐term memory, respectively. We compared 107 8‐ to 13‐year‐old children (64 females) across demographically‐diverse populations in four low and middle‐income countries, including: Tanna, Vanuatu; Keningau, Malaysia; Saltpond, Ghana; and Natal, Brazil. The communities we studied vary in market integration/urbanicity as well as level of access, structure, and quality of schooling. We found that performance on the visuospatial working memory task (Knox Cube) and the visuospatial short‐term memory task (Beads) are each independently associated with performance on the self‐regulation task, even when controlling for schooling and location effects. These effects were robust across demographically‐diverse populations of children in low‐and middle‐income countries. We conclude that this study found evidence supporting visuospatial working memory and visuospatial short‐term memory as distinct cognitive processes which each support the development of self‐regulation. 

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