Assessment & Research

The development of product parity sensitivity in children with mathematics learning disability and in typical achievers.

Rotem et al. (2013) · Research in developmental disabilities 2013
★ The Verdict

Kids with math learning disability don’t pick up multiplication parity rules until 8th grade—five years after peers—so check and teach the rule explicitly.

✓ Read this if BCBAs doing academic assessments or writing math goals for late elementary or middle-school students.
✗ Skip if Practitioners serving only preschool or early elementary learners.

01Research in Context

01

What this study did

Rotem et al. (2013) watched kids answer true-or-false multiplication facts. They looked for parity sensitivity—knowing that odd × odd = odd without doing the full math.

Typical kids and kids with math learning disability (MLD) took the same quick quiz in grades 3, 5, and 8.

02

What they found

Typical achievers showed parity sensitivity by grade 3. Kids with MLD did not show it until grade 8—five years later.

The gap stayed even when both groups had seen the same classroom lessons.

03

How this fits with other research

Yang et al. (2016) found a similar split in dyslexia: exact addition was weak, but approximate number sense stayed intact. Together the papers show that rule-based math facts lag behind intuitive number skills across learning disorders.

Carati et al. (2024) looked at auditory timing in developmental dyscalculia and saw large delays. Avital’s parity delay lines up with this pattern—basic magnitude systems mature slowly in math disabilities.

Attout et al. (2020) showed that kids with spina bifida struggle with non-symbolic size and duration comparisons. Avital’s result adds symbolic parity rules to the list of magnitude skills that need extra time.

04

Why it matters

If you work with older elementary or middle-school students who have MLD, do not assume they have absorbed parity shortcuts. Slip a two-minute parity check into your assessment: ask “Is 7 × 9 odd or even?” If the student hesitates or computes, teach the rule directly and practice it daily. Targeting this one rule can speed up later multi-digit work and free working memory for harder concepts.

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→ Action — try this Monday

Add one parity question to your next math probe and teach the odd × odd = odd rule if the student misses it.

02At a glance

Intervention
not applicable
Design
quasi experimental
Population
neurotypical, other
Finding
not reported

03Original abstract

Parity helps us determine whether an arithmetic equation is true or false. The current research examines the development of sensitivity to parity cues in multiplication in typically achieving (TA) children (grades 2, 3, 4 and 6) and in children with mathematics learning disabilities (MLD, grades 6 and 8), via a verification task. In TA children the onset of parity sensitivity was observed at the beginning of 3rd grade, whereas in children with MLD it was documented only in 8th grade. These results suggest that children with MLD develop parity aspects of number sense, though later than TA children. To check the plausibility of equations, children used mainly the multiplication parity rule rather than familiarity with even products. Similar to observations in adults, parity sensitivity was largest for problems with two even operands, moderate for problems with one even and one odd operand, and smallest for problems with two odd operands.

Research in developmental disabilities, 2013 · doi:10.1016/j.ridd.2012.11.001