Assessment & Research

Numerical estimation in individuals with Down syndrome.

Lanfranchi et al. (2015) · Research in developmental disabilities 2015
★ The Verdict

Teach number-line tasks when mental age and basic digit skills are ready, not when the calendar says so.

✓ 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 math-advanced learners.

01Research in Context

01

What this study did

Lanfranchi et al. (2015) asked how kids with Down syndrome place numbers on a blank 0-100 line. They compared the group to mental-age-matched typical kids, not same-age peers.

The team used a simple paper number-line task. Each child marked where they thought a spoken number belonged.

02

What they found

Children with Down syndrome made marks in the same pattern as mental-age peers. Their estimates grew straighter as mental age rose, not as birthday count rose.

The shape of the line told the story. Kids with similar thinking skills produced similar lines, no matter who was older.

03

How this fits with other research

Lanfranchi et al. (2022) ran almost the same task seven years later and saw the same thing. Mental age again beat calendar age at predicting accuracy. The newer paper added that kids who could name digits 1-10 and pick the bigger of two numbers 1-20 drew straighter lines.

Lawer et al. (2009) mapped 88 French children with Down syndrome and found four clear cognitive profiles. No profile followed age, echoing the idea that thinking level, not birthday, drives performance.

Gomez et al. (2015) looked at kids with developmental coordination disorder and saw the opposite comparison choice. They lined up participants by calendar age and found deficits. Silvia’s mental-age match shows what happens when you compare thinking level instead.

04

Why it matters

Stop waiting for a child to reach a birthday before teaching number lines. Check mental age or simple digit naming first. If the learner knows digits 1-10 and can spot the bigger pile up to 20, they are ready for the 0-100 line. Start there and move forward.

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→ Action — try this Monday

Test quick digit naming 1-10 and magnitude choice 1-20; if both hit 80%, introduce the 0-100 number line.

02At a glance

Intervention
not applicable
Design
quasi experimental
Sample size
21
Population
down syndrome, neurotypical
Finding
not reported

03Original abstract

We investigated numerical estimation in children with Down syndrome (DS) in order to assess whether their pattern of performance is tied to experience (age), overall cognitive level, or specifically impaired. Siegler and Opfer's (2003) number to position task, which requires translating a number into a spatial position on a number line, was administered to a group of 21 children with DS and to two control groups of typically developing children (TD), matched for mental and chronological age. Results suggest that numerical estimation and the developmental transition between logarithm and linear patterns of estimates in children with DS is more similar to that of children with the same mental age than to children with the same chronological age. Moreover linearity was related to the cognitive level in DS while in TD children it was related to the experience level.

Research in developmental disabilities, 2015 · doi:10.1016/j.ridd.2014.10.010