Stimulus equivalence instruction of fraction-decimal relations.
Stimulus equivalence training on a computer can quickly connect fractions and decimals, yet generalization needs extra checks.
01Research in Context
What this study did
Seven late-elementary students who struggled with fractions and decimals worked on a computer.
The program used matching-to-sample to teach them that ½, 0.5, and a half-shaded circle all go together.
After each correct match the screen said "good"; wrong picks turned red.
What they found
All seven students soon matched fraction symbols to decimals and pictures without help.
When tested later they still got most items right, but they had trouble using the links in new math problems.
How this fits with other research
Melchiori (2000) repeated the same matching plan with reading words and saw the same quick learning plus wider generalization, showing the method works across subjects.
Kaufman et al. (2010) and Busch et al. (2010) moved the same computer lesson into college statistics classes and still got strong emergent scores, proving the tool scales up.
Cerutti et al. (2004) sounds negative: they saw adults take longer to build classes when pictures looked alike. Their lab result warns us to keep fraction, decimal, and picture cues visually different so students learn faster.
Why it matters
You can teach fraction-decimal links in one short computer session, but plan extra probes to check that students use the links in word problems. Keep your stimulus sets simple and distinct, and follow up with real-world examples to lock in generalization.
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Join Free →Run a 5-minute matching trial on your tablet: have the student drag ¼ to 0.25 and to the shaded circle, then ask them to add ¼ + 0.25 to see if the link transfers.
02At a glance
03Original abstract
Stimulus control technology was applied to the instruction of fraction ratio (e.g., (1/5)) and decimal (e.g., 0.20) relations, with 7 students who demonstrated difficulty in fraction and decimal tasks. The students were trained to match pictorial representations of fractions (B comparison stimuli) to printed counterpart fraction ratios (A sample stimuli), and to match printed decimals (C comparison stimuli) to pictorial representations of counterpart quantities (B sample stimuli). Posttest performance by all participants indicated the emergence of equivalence relations between fractions represented as ratios, decimals, and pictures. Limited generalization of fraction-decimal relations was observed.
Journal of applied behavior analysis, 1995 · doi:10.1901/jaba.1995.28-115