title: Representations of the magnitudes of fractions.
abstract: We tested whether adults can use integrated, analog, magnitude representations to compare the values of fractions. The only previous study on this question concluded that even college students cannot form such representations and instead compare fraction magnitudes by representing numerators and denominators as separate whole numbers. However, atypical characteristics of the presented fractions might have provoked the use of atypical comparison strategies in that study. In our 3 experiments, university and community college students compared more balanced sets of single-digit and multi-digit fractions and consistently exhibited a logarithmic distance effect. Thus, adults used integrated, analog representations, akin to a mental number line, to compare fraction magnitudes. We interpret differences between the past and present findings in terms of different stimuli eliciting different solution strategies.
authors.affiliation: Department of Psychology, Carnegie Mellon University. Schneider@ifv.gess.ethz.ch
authors.forename: Michael
authors.initials: M
authors.lastname: Schneider
authors.forename: Robert S
authors.initials: RS
authors.lastname: Siegler
mesh_terms: D000328:Adult; D003210:Concept Formation; D003657:Decision Making; D005260:Female; D006801:Humans; D007600:Judgment; D008297:Male; D008433:Mathematics; D011340:Problem Solving; D055815:Young Adult