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Updated: Aug 7, 2026

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Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics (BM-PROMA)
Published on: August 28, 2021
The relative effects on math performance of single- versus multiple-ratio schedules: a case study
1University of Washington.
Journal of Applied Behavior Analysis
|January 1, 1970
Summary
Multiple-ratio schedules significantly increased student response rates to mathematics materials compared to single-ratio schedules. Reinforcement frequency had minimal impact on response rates in this study.
Area of Science:
- Behavioral Psychology
- Educational Psychology
- Learning Sciences
Background:
- Understanding factors influencing student engagement with academic materials is crucial.
- Reinforcement schedules are known to impact learning behaviors.
- Previous research has explored various reinforcement strategies.
Purpose of the Study:
- To compare the effectiveness of multiple-ratio versus single-ratio reinforcement schedules.
- To assess the impact of these schedules on a student's response rate to mathematics.
- To investigate the influence of reinforcement frequency as a secondary factor.
Main Methods:
- Conducted a series of four experiments involving a pupil and mathematics materials.
- Manipulated reinforcement schedules, alternating between single- and multiple-ratio contingencies.
- Varied reinforcement frequency in one experiment to assess its independent effect.
Main Results:
- Multiple-ratio schedules led to higher response rates compared to single-ratio schedules.
- Experiment I and II demonstrated a clear increase in response rates under multiple-ratio conditions.
- Experiment III indicated that altering reinforcement frequency had a minimal effect on response rates.
Conclusions:
- Multiple-ratio reinforcement schedules are more effective in increasing student response rates to academic tasks.
- Reinforcement frequency appears to be a less influential variable than the schedule type.
- Findings support the use of multiple-ratio schedules in educational settings to enhance engagement.
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