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

@article{vanHoof2013AreSS, title={Are secondary school students still hampered by the natural number bias? A reaction time study on fraction comparison tasks}, author={Joris J. van Hoof and Tristan Lijnen and Lieven Verschaffel and Wim Van Dooren}, journal={Research in Mathematics Education}, year={2013}, volume={15}, pages={154 - 164} }

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…

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## References

SHOWING 1-10 OF 29 REFERENCES

### Naturally Biased? In Search for Reaction Time Evidence for a Natural Number Bias in Adults.

- Psychology
- 2012

### Teaching and Learning Fraction and Rational Numbers: The Origins and Implications of Whole Number Bias

- Psychology
- 2005

Many researchers agree that children's difficulty with fraction and rational numbers is associated with their whole number knowledge, but they disagree on the origin of the whole number bias. This…

### How Many Decimals Are There Between Two Fractions? Aspects of Secondary School Students’ Understanding of Rational Numbers and Their Notation

- Mathematics
- 2010

We present an empirical study that investigated seventh-, ninth-, and eleventh-grade students’ understanding of the infinity of numbers in an interval. The participants (n = 549) were asked how many…

### Intuitive rules in science and mathematics: a reaction time study

- Philosophy
- 2006

It has been observed that students react in similar ways to mathematics and science tasks that differ with regard either to their content area and/or to the type of reasoning required, but share some…

### On difficulties with fractions

- Psychology
- 1981

A sample of less successful students (aged 12–15) was tested on the topic of fractions. The test paper presented diagrams, word problems, and computational questions. The analysis was designed to…

### The Whole Number Bias in Fraction Magnitude Comparisons with Adults

- EducationCogSci
- 2011

This study supports the idea that initial concepts formed in childhood can have lasting effects into adulthood, and examines the extent to which the whole number bias, especially whole number ordering, can interfere with adult understandings of fractions.

### Automatic-heuristic and executive-analytic processing during reasoning: Chronometric and dual-task considerations.

- Psychology
- 2006

Human reasoning has been shown to overly rely on intuitive, heuristic processing instead of a more demanding analytic inference process. Four experiments tested the central claim of current…

### Feeling we’re biased: Autonomic arousal and reasoning conflict

- PsychologyCognitive, affective & behavioral neuroscience
- 2010

The presence of a clear autonomic conflict response during reasoning lends credence to the idea that reasoners have a “gut” feeling that signals that their intuitive response is not logically warranted.

### Intuitive vs analytical thinking: four perspectives

- PsychologyThe Best Writing on Mathematics 2010
- 2011

This article is an attempt to place mathematical thinking in the context of more general theories of human cognition. We describe and compare four perspectives—mathematics, mathematics education,…