Curriculum Design and Development for Studens, Teachers and Researchers.- Experimental Design.- Concrete Models and Abstraction Processes.- Teaching Models.- Algebraic Syntax and Solving Word Problems.- Cognitive Tendencies and Abstraction Processes.- Mathematical Sign Systems. Meaning and Sense.- Solving Arithmetic-Algebraic Problems.- Widening Perspectives.- References. A Deep Sea of Luminescent Ideas.
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.
Offers a theoretical perspective in which semiotics and history are included
Adds to previous work with priority to a pragmatic perspective
Of interest to both practitioners and researchers in mathematics education