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Massachusetts Department of Elementary and Secondary Education, 2017
This Framework builds upon the foundation of the 2010 Massachusetts Curriculum Framework for Mathematics as well as versions of the Massachusetts Mathematics Framework published since 1995. The current Framework incorporates improvements suggested by Massachusetts educators after six years of experience in implementing the 2010 standards in their…
Descriptors: Elementary School Mathematics, Middle School Mathematics, Secondary School Mathematics, Preschool Education
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Book, Ronald V. – American Mathematical Monthly, 1988
The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)
Descriptors: Abstract Reasoning, Algebra, Algorithms, College Mathematics
Smith, Richard M. – 1981
In all latent trait models there is an equation which describes the probabilistic outcome of the interaction of a person with a known ability and an item with a known difficulty. This modeled outcome can be compared to the observed outcome, and the residuals can be summed over the items to assess the fit of the person to the model. Various…
Descriptors: Algebra, Error of Measurement, Goodness of Fit, Guessing (Tests)