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Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Knuth, Eric – Grantee Submission, 2015
We detail a learning progressions approach to early algebra research and how existing work around learning progressions and trajectories in mathematics and science education has informed our development of a four-component theoretical framework consisting of: a curricular progression of learning goals across big algebraic ideas; an instructional…
Descriptors: Algebra, Mathematics Instruction, Curriculum, Educational Objectives
Rau, M. A.; Aleven, V.; Rummel, N. – Society for Research on Educational Effectiveness, 2011
Graphical representations (GRs) of the learning content are often used for instruction (Ainsworth, 2006). When used in learning technology, GRs can be especially useful since they allow for interactions across representations that are physically impossible, for instance by dragging and dropping symbolic statements into a chart that automatically…
Descriptors: Intelligent Tutoring Systems, Retention (Psychology), Mathematics, Mathematics Instruction