Educational Algebra: A Theoretical and Empirical Approach (Hardcover, 2008)

Local Theoretical Models and Mathematical Sign Systems: A theoretical and methodological framework for experimental observations in educational mathematics.- Mathematics Education and Educational Systems.- Teaching Models.- Cognitive Processes.- Experimental Design.- Mathematical Sign Systems: A theory for interpreting experimental observations.- Concrete Models and Abstractions Processes: Teaching to operate the unknown.-Solving Problems with a "Just Acquired" Algebraic Syntax.- Cognitive Tendencies and Abstraction Processes in the Learning of Algebra (and Geometry).- Solving Arithmetic/Algebraic Problems.- Historical Analysis of Algebraic Ideas.