Rational number

Mathematics education

Statistics

Literature

Archaeology

Fraction (chemistry)

Organic chemistry

Psychology

Mathematics

Geography

Natural number

Natural (archaeology)

Combinatorics

Chemistry

Dual (grammatical number)

History

Research in Mathematics Education

Rational numbers and particularly fractions are difficult for students. It is often claimed that the 'natural number bias' underlies erroneous reasoning about rational numbers. This cross-sectional study investigated the natural number bias in first and fifth year secondary school students. Relying on dual process theory assumptions that differentiate between intuitive and analytic processes, we measured accuracies and reaction times on fraction comparison tasks. Half of the items were congruent (i.e., natural number knowledge leads to correct answers), the other half were incongruent (i.e., natural number knowledge leads to incorrect answers). Against expectations, students hardly made errors on incongruent items. Longer reaction times on correctly solved incongruent than on correctly solved congruent items indicated that students were indeed hampered by their prior knowledge about natural numbers, but could suppress their intuitive answers.

Are secondary school students still hampered by the natural number bias? A reaction time study on fraction comparison tasks