LFA discovered that backward application of the circle area formula is a distinct, harder skill with no transfer from forward application¶

Claim · All claims
Evidence · 1 study · review r2 · q2
Currency · newest study 2012 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? In the Geometry96-97 dataset, backward application of circle area (given the area, find the radius) showed lower performance (54%) than forward application (80%) and evidence of no transfer, unlike other area formulas. → Kenneth R. Koedinger 2012

Evidence¶

Kenneth R. Koedinger 2012¶

Kenneth R. Koedinger, Emma Brunskill, Ryan S.J.d. Baker, Elizabeth A. McLaughlin, and John Stamper. (2012). New Potentials for Data-Driven Intelligent Tutoring System Development and Optimization. http://learnlab.org/datashop

q2 · i? · review · r2

Analysis of the Geometry96-97 dataset via LFA model discovery found a forward-vs-backward distinction unique to the circle area formula: "The performance rate difference (80% forward vs. 54% backward)". The article also reports evidence that forward practice does not transfer to backward application for this formula.

"The performance rate difference (80% forward vs. 54% backward), parameter estimate differences (higher slopes and intercepts) and learning curve shape (smoother and declining) led LFA to discover that backward application of circle area (given the area find the radius) is a separate skill from forward application."

Discussion¶

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