Modification of arithmetic response rate and attending behavior in a seventh-grade student.

A teacher tried an adjusting fixed-ratio schedule with one seventh-grade student. The child had to finish more and more math problems before hearing praise and learning if the answers were right.

The study used an ABAB reversal design. Praise and feedback were given, then taken away, then given again to show clear cause and effect.

When praise and quick correctness feedback came on the thicker schedule, the student solved more problems and stayed on task longer. Both gains reversed when the schedule stopped.

The adjusting FR schedule worked fast and held up across repeated removals and returns.

Davison et al. (1968) also lifted math rate with an ABAB design, but they used verbal prompts instead of praise. The two studies line up: you can push academic output either by changing what comes before the response or by changing what comes after.

Weyman et al. (2021) looks like a contradiction at first. They saw praise boost compliance without cutting problem behavior in kids with autism. The difference is population and goal: D et al. worked with a general-ed teen on academics, while Weyman worked with autistic children during escape tests. Praise helps compliance across groups, but it does not always lower problem behavior.

Lovitt et al. (1969) showed students work harder when they set their own rewards. D et al. shows teacher-delivered praise can still work if you schedule it right. Both papers agree: reinforcement rate matters in class.

You can raise math output and attention in middle school without tokens or point charts. Just give praise plus immediate feedback after a set number of correct responses, then slowly ask for more work before each praise. Track response rate across phases to be sure the schedule, not something else, is driving the gain.