Research on fractions: experiences inspired in the teaching experiment methodology

José Luis Cortina

Abstract: We discuss the contributions to the field of fractions of four research projects,
conducted by the author and his colleagues. Several aspects of the design research
methodology were central to the implementation of these projects. The contributions
include specifying the big ideas of learning fractions, identifying viable starting points,
and developing instructional innovations to support students’ understanding of this

Keywords: fractions, design experiments, proportional reasoning.



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