Simpler knowledge components are executed faster: correct application times rise from about 3-6 seconds for constant-constant KCs to 10-14 seconds for variable-variable KCs¶

Claim · All claims
Evidence · 1 study · theoretical r3 · q2
Currency · newest study 2010 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? Learning-curve data from Chinese vocabulary, ESL grammar, and Geometry tutoring units show simpler KCs are applied faster, with correct entry times increasing across KC categories. → Kenneth R. Koedinger 2010

Evidence¶

Kenneth R. Koedinger 2010¶

Kenneth R. Koedinger, Albert T. Corbett, Charles Perfetti. (2010). The Knowledge-Learning-Instruction (KLI) Framework: Toward Bridging the Science-Practice Chasm to Enhance Robust Student Learning. Carnegie Mellon University Technical Report. http://learnlab.org/research/wiki

q2 · i? · theoretical · r3

Learning-curve analysis of student performance data from computer-based tutoring systems in Chinese, English as Second Language, and Geometry units, plotted in Figure 2. The text reports Chinese vocabulary facts take 'about three to six seconds', English articles 'about six to ten seconds', and Geometry area KCs 'about ten to fourteen seconds' for correct entry.

"In general, simpler KCs can be executed more quickly, as suggested by the learning curves displayed in Figure 2."

Discussion¶

Related Claims¶

• Students are significantly worse at translating two-step algebra story problems than matched one-step problems, implicating a hidden integrative knowledge component
• KLI complexity-matching hypothesis: instructional principles of a given complexity are effective for knowledge components of equal or greater complexity but not less complex ones
• Clarity matters less as concept structure becomes simpler: no significant clear-vs-unclear difference for constant successive lessons
• Across a geometry curriculum, overall percent correct stays fairly constant over time while percent correct on actions involving a single skill increases, as ACT-R's knowledge-component claim predicts — related
• Personalization reduced time spent on hard expression-writing steps, and students who had received it were still faster at writing expressions in a later non-personalized unit — related