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Kapur, Manu – Instructional Science: An International Journal of the Learning Sciences, 2012
In a study with ninth-grade mathematics students on learning the concept of variance, students experienced either direct instruction (DI) or productive failure (PF), wherein they were first asked to generate a quantitative index for variance without any guidance before receiving DI on the concept. Whereas DI students relied only on the canonical…
Descriptors: Direct Instruction, Mathematics Instruction, Multivariate Analysis, Mathematical Models
Yeh, Jennie P. – 1980
A proficiency model that provides information on individuals' mastery status on specific skills is illustrated. The model describes the construction and scoring of mastery tests as well as the organization and reporting of individual and group testing results. With the model, an individual's mastery status with respect to various skills can be…
Descriptors: Goodness of Fit, Grade 10, Mastery Tests, Mathematical Models