This study has as main objective to investigate
the efficiency of an alternative methodology for teaching
and learning to solve problems involving fractions. It is a
methodology that consists of using different registers of
representations of a problem composed by 3 variants,
structured according to the experimental principles of
semiotic variation and concomitant variations. The study
was conducted with 29 students, attending teacher
training courses for elementary school, through a
questionnaire containing 3 variants of a problem. In
each variant-problem, 3 to 4 alternative representations
of two other types of problem registers were given. The
results revealed that deficiencies in the conceptual
comprehension of the fraction and its computational
rules, difficulties to make the linguistic decoding, are
factors that had an unfavorable influence on the
performance of the students. However, it has been
proved that the use of different registers of semiotic
representations induce the student to the comprehension
activity of problem, which consists in the identification,
articulation and coordination of the units and cognitive
reference variables between the registers. Thus, applied
in didactic situations, an approach of this nature is an
effective method for teaching and learning to solve
problems, because it has produced an increase about
10% in the performance of future primary school
teachers in problem solving involving fractions
Keywords : Semiotic Representations Registers, Fractions, Future Primary School Teachers, Semiotic Variation, Concomitant Variation, Problem Solving, Proficiency With Fractions.