School & Classroom

Online Delivery of a Manipulative-Based Intervention Package for Finding Equivalent Fractions.

Bouck et al. (2023) · Journal of behavioral education 2023
★ The Verdict

Short online lessons with virtual tiles and tiny hints teach equivalent fractions to upper-elementary students with learning risk.

✓ Read this if BCBAs helping teachers deliver math to students with LD or mild ID.
✗ Skip if Clinicians who only run in-home DTT programs.

01Research in Context

01

What this study did

Three upper-elementary students logged in from home. Each had a learning disability or was at risk.

The coach taught equivalent fractions on screen. Kids dragged virtual tiles, then solved problems with numbers only.

If stuck, the coach gave the smallest hint needed. The team tracked accuracy across days.

02

What they found

Accuracy rose only after the lessons started. Gains stayed high two weeks later.

Brief booster sessions kept the skill alive. Students needed fewer hints over time.

03

How this fits with other research

Gutiérrez-Cruz et al. (2025) later tested a wider digital math pack for students with intellectual disability. Their wider pack also worked, showing the idea can travel to new groups.

Dutt et al. (2023) warned that live workshops beat web modules when training teachers. That sounds like a clash, but the two studies train different people. Dutt trained adults in theory; C et al. taught kids directly with step-by-step cues. Kids learn fine online when lessons are simple and interactive.

Capodieci et al. (2023) found kids with learning disorders scored low on web-based thinking tasks. Their result reminds us to check each child’s screen stamina before starting online math.

04

Why it matters

You can run short, well-prompted fraction lessons over Zoom. Use on-screen tiles first, then fade to numbers. Track hints to see when a child is ready to work alone. If accuracy dips later, one quick booster call can bring it back.

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Open a free virtual manipulative site, share screen, and teach one fraction concept with least-to-most prompts.

02At a glance

Intervention
direct instruction
Design
multiple baseline across participants
Sample size
3
Population
not specified
Finding
positive

03Original abstract

Mathematics education for students with and at-risk for a disability is important and high-quality, research-supported practices should be used for online teaching-whether intentional or as a result of a global pandemic. This single-case design multiple probe replicated across participants study explored the online delivery of an intervention package consisting of the virtual-abstract instructional sequence-taught via modified explicit instruction-and the system of least prompts to three upper elementary students with a disability or at-risk in solving equivalent fractions. Researchers determined a functional relation existed between the intervention package and student accuracy. Researchers also found students were independent and able to maintain accuracy when instruction did not proceed either following the intervention or with the support of boost sessions. Implications for providing mathematical interventions to students with disabilities or at-risk online exist. Further, the study lends support to virtual manipulative-based instructional sequences, as the setting, population, and implementation of explicit instruction differed in this study as compared to previous research.

Journal of behavioral education, 2023 · doi:10.1007/s10864-021-09449-y