Abstract:

Magnitude representation of fraction has become one of key issues in contemporary mathematical cognition field. Based on the latest ten-year studies, some new developments of investigations in fraction magnitude representation were reviewed. First, it was summarized how magnitude representation of fraction developed. Then the different fraction magnitude representations were introduced, and some tasks and background factors that affected magnitude representation of fraction were systematically analyzed. In addition, the relationships and differences between magnitude representation of fraction and whole number or decimal fraction were also explored. Future researchers should pay more attentions to individual differences in fraction representation, and cross-cultural investigations and other intervention aspects to strengthen the understandings on fraction representation.

Key words: fraction, magnitude representation, componential representation, holistic representation