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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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Cognition and math and reading overlap in community college students
Objective Math and reading are related at the disability level and along the continuum of skill (Cirino, 2022). Cognitive correlates of math and reading in children are well-known separately, with a recent focus on the reason for their overlap. However, less is known about these issues in community college (CC) students despite more than half of post-secondary education occurring at this level. Here we assess cognitive predictors of math and reading (language, working memory, processing speed, nonverbal reasoning, attention) in CC students, outcome overlap, and the extent that predictors account for overlap. We expect all predictors to relate to achievement, with language and working memory as the strongest predictors, and accounting for the most overlap. We also expect more overlap and stronger prediction for complex outcomes (reading comprehension and math applications) relative to foundational skills (word reading and computations). Participants and Methods Participants were 94 CC students enrolled in their first math class. Approximately half the students were taking developmental coursework. Participants were administered four KTEA-3 measures: Letter-Word Reading, Reading Comprehension, Math Computation, and Math Concepts and Application. Language consisted of Vocabulary (K-BIT-2), and Elision and Rapid Naming subtests of the CTOPP-2. Working memory was assessed with two complex span measures (Symmetry Span and Reading Span). Processing speed was measured with the WAIS-IV, and nonverbal reasoning with the K-BIT-2. Attention was assessed via a researcher-designed continuous performance task and a self-rating scale. Multiple regression assessed cognitive prediction for each achievement measure; and partial correlation evaluated overlap. Results For computations, all predictors accounted for R2=53% variance; nonverbal reasoning and elision were unique predictors (p<.05). For math applications, R2=58%, with unique prediction for nonverbal reasoning, vocabulary, elision, and symmetry span. For word reading, R2=50%, with unique prediction for vocabulary, elision, and reading span. Finally, for reading comprehension, R2=47%, with unique prediction for vocabulary and nonverbal reasoning. Regarding overlap, computations and word reading correlated r=.50, and math applications and reading comprehension r=.57, which is higher than a recent meta-analysis (Unal et al., 2023). Language was the strongest contributor of overlap; these variables reduced the correlation for foundational achievement by 50%, and for complex achievement, by 32%. Other domains accounted for little overlap, despite significant zero-order correlations. Substantive results were generally similar when covariates were considered. Conclusions Individual prediction was dominated by language, nonverbal reasoning, and working memory variables. Math and reading performances were strongly related, and language was the strongest predictor of this overlap, which is only partially consistent with extant literature but adds context and generalization for CC students. Attention and processing speed were only weakly related to performance, which may reflect the overlearned nature of these skills at this level. Future work might need to include more malleable factors (e.g., motivation), as well as broader views of achievement (e.g., course grades).
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- Award ID(s):
- 1760760
- PAR ID:
- 10514618
- Publisher / Repository:
- Poster presented at the 52nd annual meeting of the International Neuropsychological Society, New York, NY.
- Date Published:
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Objective We live in an increasingly multicultural society which is reflected in the student population. In the community college (CC) setting, students from underrepresented groups are over-represented in remedial math courses and are less likely to complete the sequence. The extant literature suggests higher levels of acculturation, both cultural adoption and cultural maintenance, support academic success. Working memory (WM) is a well-known domain-general predictor of mathematical development and has been shown to relate to math achievement r = .38. Given this moderate relation, additional predictors of math achievement warrant investigation. In the present study, we investigated the potential moderational role of acculturation (cultural adoption and maintenance), on the WM-math relation in a diverse group of CC students (n = 94). Math was assessed both by a standardized measure of math computation and a measure of “everyday math” word problems including medical and financial management. We expected that higher levels of acculturation (adoption and maintenance) would decreasing WM load (via cognitive load) and aid math performance. At higher levels of acculturation, the WM-math relation was hypothesized approximate meta analytic findings, r = .38. Alternatively, at low levels of acculturation, the WM-math correlation was anticipated to be attenuated due to the added variability in culture and the negative impact low acculturation levels have on WM by increasing cognitive load. Participants and Methods A diverse sample of CC students (ages 18-25) who were enrolled in a math course were included. Participants completed an online survey covering demographic and cultural domains, then completed an in-person cognitive testing session to assess language abilities, WM, and math ability. Bivariate correlations and regression based moderation analyses were used. Post-hoc analyses were conducted to assess for three-way interactions with baseline verbal or math abilities. Results WM-math correlations averaged r = .38. Acculturation did not significantly relate to either outcome variable. Neither cultural adoption (computations: F=1.68, p =.199; word problems: F=.42, p =.521 ) nor cultural maintenance (computations: F=.83, p = .364; word problems: F=.36, p = .550) moderated the WM-math relations. Post-hoc analyses revealed significant three-way interactions between cultural adoption and math computation across different levels of vocabulary (F=4.66, p = .034) and math abilities (F= 6.16 p = .015). Conclusion The hypothesized moderational role of acculturation on the WM-math relation was not supported. Post-hoc analyses, however, revealed that the cultural adoption-math relationship varied across different levels of vocabulary and math abilities, although not in the direction anticipated. Finding suggest complex relationships between the WM, acculturation, and math such that acculturation does impact math performance when either vocabulary or math abilities are strong. At low levels of math or vocabulary, students’ WM may already be overtaxed, such that higher acculturation levels cannot benefit the student. Whereas when baseline abilities are average/high, increased cultural adoption can benefit the student by potentially decreasing cognitive load and freeing additional WM capacity which can be applied to the task. Findings could identify patterns of students at risk for math failure and inform future intervention/policy development to address their needs and support success.more » « less
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