Investigations of differences between gifted and nongifted students have examined cognitive abilities, including intelligence quotient (IQ) differences, higher order thinking skills, and divergent thinking (DT). However, little is known about differences in problem finding (PF). Moreover, previous works on gifted students have never explored…

This paper presents the design and some results of a series of teaching experiments. The design was created to develop a model for everyday math lessons, that describes the conditions which foster or hinder the construction of new mathematical meanings. The development process includes the students' epistemic processes, their social interactions,…