Math and Verbal Fluency Across Adulthood: Insights into Aging and Individual Differences

A new study in Scientific Reports by Gliksman, Schwarz, and Naparstek examines how mathematical fluency declines with age across the four basic arithmetic operations — finding that division and subtraction show the largest age effects while addition is largely preserved, and that education and time since retirement are the strongest individual predictors of performance in older adults.

Itay Kazanovich M.Sc
Itay Kazanovich M.Sc
News
Math and Verbal Fluency Across Adulthood: Insights into Aging and Individual Differences

A recent publication in Scientific Reports by Yarden Gliksman (Ruppin Academic Center), Itai Schwarz, and Sharon Naparstek (Bar-Ilan University) tackles a question that has received surprisingly little research attention given its everyday relevance: how does mathematical fluency change as we age, and which arithmetic operations are most vulnerable?

Why Math Fluency in Aging Matters

Cognitive aging research has produced a rich literature on memory, executive function, and verbal abilities — but mathematical functioning in later adulthood has received comparatively less attention. This is a notable gap, given that numeracy is central to everyday tasks ranging from medication management and financial decision-making to medical risk comprehension. As life expectancy rises and the older adult population grows, understanding which math skills are preserved and which decline becomes increasingly important for both research and clinical practice.

The Study Design

The team examined 52 participants spanning younger and older adults using two complementary measures of math fluency. The first was an oral test, capturing performance under naturalistic verbal-response conditions. The second was the Ben-Gurion University Math Fluency test (BGU-MF) — a computerized paradigm previously developed by the lab that measures both accuracy and reaction times across all four basic arithmetic operations: addition, subtraction, multiplication, and division. Verbal fluency was assessed in parallel using semantic and phonological fluency tasks, allowing direct comparison between mathematical and verbal domains.

Key Findings

Several findings stand out:

  • Operations are not equally affected by age. Division and subtraction showed the largest age-related differences, while addition was relatively preserved across the lifespan. This dissociation suggests that arithmetic operations rely on partially distinct cognitive mechanisms, with more demanding operations being disproportionately vulnerable to age-related decline.
  • Education emerged as the strongest predictor of math performance in older adults. This aligns with broader cognitive reserve literature, where educational attainment is consistently linked to better cognitive outcomes in later life.
  • Time since retirement negatively predicted accuracy and the number of exercises solved. The longer a participant had been retired, the lower their math fluency scores — consistent with the idea that disengagement from cognitively demanding daily work may accelerate certain aspects of cognitive decline.
  • Verbal fluency declined with age, but to a lesser extent than math fluency. This points to a broader age-related reduction in fluency abilities while suggesting that arithmetic processing carries a heightened vulnerability above and beyond domain-general slowing.
  • Effects were consistent across formats. The same age differences emerged in both the computerized BGU-MF and the oral math fluency tasks, supporting the validity of computerized fluency testing in older populations.

Implications for Cognitive Aging Research

The findings carry several implications for both basic and applied cognitive neuroscience. The dissociation between addition (preserved) and division/subtraction (more vulnerable) reinforces theoretical models suggesting that different arithmetic operations engage distinct retrieval, procedural, and working memory components — with the more procedurally demanding operations bearing the brunt of age-related cognitive slowing. The role of education and retirement timing also reinforces a use-it-or-lose-it framing for cognitive maintenance in later adulthood.

For clinicians and researchers working with older populations, this work supports the case for including standardized, computerized arithmetic fluency assessments alongside traditional verbal fluency measures — particularly when screening for early cognitive change or characterizing individual differences in cognitive aging trajectories.

Reference

Gliksman, Y., Schwarz, I., & Naparstek, S. (2026). Math and verbal fluency across adulthood provide insights into aging and individual differences. Scientific Reports. https://doi.org/10.1038/s41598-026-41329-1

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