ABA Fundamentals

The effects of teaching precurrent behaviors on children's solution of multiplication and division word problems.

Levingston et al. (2009) · Journal of applied behavior analysis 2009
★ The Verdict

Break word-problem solving into four overt precurrent steps—label, operation, bigger number, smaller number—before asking for the final answer.

✓ Read this if BCBAs teaching math word problems in elementary or middle-school settings.
✗ Skip if Practitioners working only on early number identification or non-math skills.

01Research in Context

01

What this study did

Two late-elementary students learned to solve multiplication and division word problems. The teacher first taught four overt precurrent steps: say the label, name the operation, point to the bigger number, point to the smaller number. Only after the child could do all four steps did the teacher ask for the final answer.

The team used a multiple-baseline design across students. Each child moved through the four steps at their own pace.

02

What they found

Both kids mastered the four precurrent steps. After that, they correctly solved brand-new multiplication and division stories. The skills stuck around without extra practice.

03

How this fits with other research

Zhou et al. (2024) later copied the same four-step chain with autistic students. They switched the math to addition and subtraction and taught over Zoom. The kids still learned fast and kept the skill.

Yakubova et al. (2015) looks like a clash at first. They used point-of-view videos, not overt steps, to teach fraction word problems. Both studies worked, so the difference is the medium, not the message. Videos help when the teacher cannot give one-on-one prompts.

Heinicke et al. (2012) showed taped numbers help kindergarteners learn to identify digits. That early skill feeds into later word-problem work, linking the ladder of math ABA studies.

04

Why it matters

You can turn any word-problem worksheet into four quick prompts. Have the child say “multiplication,” circle the big number, circle the small number, then solve. It takes one minute and works for both neurotypical and autistic students. Try it next time a learner freezes at the story line.

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Add a 4-step mini-checklist to the top of each word-problem worksheet and prompt the learner through it before they calculate.

02At a glance

Intervention
prompting and fading
Design
multiple baseline across participants
Sample size
2
Population
not specified
Finding
positive
Magnitude
large

03Original abstract

We examined the effects of teaching overt precurrent behaviors on the current operant of solving multiplication and division word problems. Two students were taught four precurrent behaviors (identification of label, operation, larger numbers, and smaller numbers) in a different order, in the context of a multiple baseline design. After meeting criterion on three of the four precurrent skills, the students demonstrated the current operant of correct problem solutions. These skills generalized to novel problems. Correct current operant responses (solutions that matched answers revealed by coloring over the space with a special marker) maintained the precurrent behaviors in the absence of any other programmed reinforcement.

Journal of applied behavior analysis, 2009 · doi:10.1901/jaba.2009.42-361