Autism & Developmental

Number estimation in Down syndrome: Cognition or experience?

Lanfranchi et al. (2022) · Research in developmental disabilities 2022
★ The Verdict

Number-line estimation in Down syndrome follows mental age, so teach symbolic number naming and size comparison first.

✓ Read this if BCBAs teaching early math to learners with Down syndrome in school or clinic settings.
✗ Skip if Practitioners working only with older adults or non-verbal learners.

01Research in Context

01

What this study did

Lanfranchi et al. (2022) asked kids with Down syndrome to mark where numbers belong on an empty number line.

They compared each child to a typically developing kid who had the same mental age, not the same birthday.

The team also checked how well each child could name digits 1-10 and tell which of two numbers was bigger.

02

What they found

Children with Down syndrome landed almost exactly where their mental-age peers did on the line.

Better symbol naming (1-10) and faster size choices (1-20) went hand-in-hand with more accurate placing.

Chronological age did not predict success; mental age did.

03

How this fits with other research

Lanfranchi et al. (2015) ran the same line task and got the same result: mental age, not calendar age, matters.

Chan et al. (2013) saw that kids with dyscalculia struggle only with nonsymbolic tasks, while kids with low numeracy struggle only with symbolic ones. The Down syndrome kids in the new study follow the symbolic side of that pattern.

Gomez et al. (2015) found children with developmental coordination disorder behind on both symbolic and nonsymbolic tasks. Down syndrome performance is not across-the-board weak; it tracks the symbolic skills they have.

04

Why it matters

When you teach number lines, start with mental-age-appropriate goals, not grade level. Build the basics: name digits 1-10 first, then practice which number is bigger. Once those pieces are solid, the line task becomes easier without extra prompts.

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Run a quick 1-10 digit naming probe, then play a 'which is bigger?' card game before any number-line work.

02At a glance

Intervention
not applicable
Design
quasi experimental
Sample size
126
Population
down syndrome, neurotypical
Finding
null

03Original abstract

BACKGROUND: The ability to place numbers on a visual "number line" is a hallmark of the understanding of numerical magnitude and it is a strong predictor of mathematical achievement. AIM: We examined whether the performance in the number line estimation task is more driven by mental age or experience with numbers in a sample of Italian children with Down syndrome (DS). METHOD AND PROCEDURE: Sixty-three children with DS (Mmonths = 128.62, SD = 30.73) and sixty-three typically developing children (Mmonths = 54.98, SD = 6.34) matched one to one for mental age completed number line estimation tasks and other tests to assess their numerical knowledge. OUTCOMES AND RESULTS: No significant differences emerged between the two groups in terms of accuracy of positioning numbers on the 1-10 and 1-20 interval. In addition, the accuracy on the 1-10 interval was related to the ability to recognize numbers, while the accuracy on the 1-20 line was related to the ability to compare magnitudes. CONCLUSION AND IMPLICATION: Results suggest that in individuals with DS the linear mapping of numbers is driven by mental age, but the accuracy of positioning numbers is also shaped by the experience with symbolic numbers. Therefore, the improvement of numerical estimation abilities should be a target of intervention programs.

Research in developmental disabilities, 2022 · doi:10.1016/j.ridd.2022.104363