The representation of fraction magnitudes and the whole number bias reconsidered
M DeWolf, S Vosniadou - Learning and Instruction, 2015 - Elsevier
Two experiments investigated the whole number bias in the representation of fraction
magnitudes with adults. A fraction magnitude comparison task was used where half of the …
magnitudes with adults. A fraction magnitude comparison task was used where half of the …
The natural number bias and magnitude representation in fraction comparison by expert mathematicians
When school students compare the numerical values of fractions, they have frequently been
found to be biased by the natural numbers involved (eg, to believe that 1/4> 1/3 because 4> …
found to be biased by the natural numbers involved (eg, to believe that 1/4> 1/3 because 4> …
Various ways to determine rational number size: an exploration across primary and secondary education
Understanding rational numbers is a complex task for primary and secondary school
students. Previous research has shown that a possible reason is students' tendency to apply …
students. Previous research has shown that a possible reason is students' tendency to apply …
Development of fraction comparison strategies: A latent transition analysis.
The present study investigated the development of fraction comparison strategies through a
longitudinal analysis of children's responses to a fraction comparison task in 4th through 6th …
longitudinal analysis of children's responses to a fraction comparison task in 4th through 6th …
Unraveling the gap between natural and rational numbers
The foundations for more advanced mathematics involve a good sense of rational numbers.
However, research in cognitive psychology and mathematics education has repeatedly …
However, research in cognitive psychology and mathematics education has repeatedly …
Are secondary school students still hampered by the natural number bias? A reaction time study on fraction comparison tasks
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 …
the 'natural number bias' underlies erroneous reasoning about rational numbers. This cross …
Inappropriately applying natural number properties in rational number tasks: Characterizing the development of the natural number bias through primary and …
The natural number bias is known to explain many difficulties learners have with
understanding rational numbers. The research field distinguishes three aspects where …
understanding rational numbers. The research field distinguishes three aspects where …
Incorrect ways of thinking about the size of fractions
The literature has amply shown that primary and secondary school students have difficulties
in understanding rational number size. Many of these difficulties are explained by the natural …
in understanding rational number size. Many of these difficulties are explained by the natural …
Examining cognitive development from a conceptual change point of view: The framework theory approach
S Vosniadou - European Journal of Developmental Psychology, 2014 - Taylor & Francis
It is argued that it is fruitful to examine cognitive development from a domain-specific,
conceptual change (CC) point of view, but that both domain-specific and domain-general …
conceptual change (CC) point of view, but that both domain-specific and domain-general …
Does initial learning about the meaning of fractions present similar challenges for students with and without adequate whole-number skill?
The purposes of this study were to (a) explore whether early fractions understanding at 4 th
grade is differentially challenging for students with versus without adequate whole-number …
grade is differentially challenging for students with versus without adequate whole-number …