Previous research on children's conceptual and procedural understanding of fractions, and other arithmetic skills, has led to contradictory conclusions. Some research suggests that children learn conceptual knowledge before procedural knowledge, some suggests that they learn procedural knowledge before conceptual knowledge, and other research…

The relationships between three types of tasks were investigated with 428 children from kindergarten through grade 6 showing that correspondence, seriation, and transitivity reflected different underlying concepts. Thus, it was concluded that neither correspondence nor transitivity tasks can serve as replacements for traditional seriation tasks in…

This study showed that Oksapmin children not only spontaneously use the indigenous numerical system of their nontechnical culture but also have created new forms of numerical symbolization and calculation to deal with schooling arithmetic problems. Novel conceptual developments, factors mediating the schools effect, and the influence of prior…