School & Classroom

Teaching multiplication facts to students with learning disabilities.

Wood et al. (1998) · Journal of applied behavior analysis 1998
★ The Verdict

Sort multiplication facts into five friendly groups, add a one-sentence story or hand trick, and kids with learning disabilities can hit 100 percent accuracy fast.

✓ Read this if BCBAs and RBTs running math fluency sessions in grades 3-8 resource rooms.
✗ Skip if Clinicians who only work on early numeracy or non-academic behaviors.

01Research in Context

01

What this study did

Three middle-school students with learning disabilities could not pass a one-minute multiplication quiz.

The teacher sorted the facts into five easy groups: zeros, ones, doubles, fives, and nines.

Each group got a quick story or hand trick. The kids practiced with flash cards and earned small prizes for beating their last score.

The team tracked accuracy every day until each child hit 100 percent.

02

What they found

All three students reached 100 percent on the quiz within nine lessons.

They still scored 100 percent when the teacher surprised them with the same quiz two weeks later.

No one needed extra drills after the stories and tricks were in place.

03

How this fits with other research

Azrin et al. (1969) used tokens to make kids follow directions in group lessons. K et al. kept the same reward idea but aimed it at math facts instead of compliance.

Mashal et al. (2012) showed that kids with learning disabilities struggle with word-based metaphors. K et al. turned that weakness around by using vivid picture stories and hand cues to make the numbers stick.

van Wingerden et al. (2017) warned that many students with ID read below grade level. K et al. prove that a short, well-packed lesson can still push these learners to grade-level speed on basic facts.

04

Why it matters

You can teach the entire times table in under two weeks if you group the facts and add a quick story or gesture. Try it during fluency blocks or warm-ups. One laminated cue card with the five stories is all you need to start Monday.

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→ Action — try this Monday

Pick one student, teach the 'nines on your fingers' trick, and track correct digits per minute for five days.

02At a glance

Intervention
direct instruction
Design
multiple baseline across participants
Sample size
3
Population
other
Finding
strongly positive
Magnitude
very large

03Original abstract

Multiple baseline designs were used to examine the effects of an instructional package on accuracy of performance in solving multiplication facts by 3 students with learning disabilities. The instructional package included the following components: (a) a modified instructional sequence in which multiplication facts were grouped into the zeros, ones, doubles, fives, and nines categories, and those remaining; (b) identification of the category in which each fact belonged; (c) mnemonic strategies associated with solving facts in each category; and (d) steps to be completed for solving facts in each category. Results indicated that the instructional package produced substantial and immediate effects. After receiving instruction, a participant's accuracy was often 100%, and this was maintained throughout the evaluation even as other strategies were introduced. Comparable results occurred across students, demonstrating replication of the effects of the instructional package.

Journal of applied behavior analysis, 1998 · doi:10.1901/jaba.1998.31-323