Learning-curve analysis of tutor logs revealed a flaw in the algebra cognitive model's handling of equations of the form ax = b when the coefficient is 1, and the tutor now provides targeted extra practice on that skill¶

Claim · All claims
Evidence · 1 study · design r2 · q2
Currency · newest study 2007 · not yet checked against its sources · not reviewed by a person · overdue for a recheck since 2010: tool and model accuracy changes quickly

Subclaims¶

q2 i? The algebra tutor's cognitive model overpredicted student performance on some equations of the form ax = b, traced to the case in which the coefficient is 1, where students must understand that x means 1 times x. → Ritter 2007

Evidence¶

Ritter 2007¶

Ritter, S., Anderson, J. R., Koedinger, K. R., & Corbett, A. (2007). Cognitive Tutor: Applied research in mathematics education. Psychonomic Bulletin & Review, 14(2), 249-255. https://doi.org/10.3758/bf03194060

q2 · i? · design · r2

An analysis of tutor log data during algebra tutor development revealed the cognitive model overpredicted performance on some ax = b equations, traced to the coefficient-1 case; recognition of x as 1 times x was added to the model, and the tutor now tests and provides extra practice on that skill.

"In the development of our algebra tutor, we discovered that the model was overpredicting student performance in solving some equations of the form ax b. An analysis of the data revealed that the overprediction was due, in part, to the case in which a 1."

Discussion¶

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