Students’ ability to compare fractions related to proficiency in the four operations
Résumé
In this paper, we investigate the relationship between 99 fourth-grade students’ ability to compare fractions (1/4=2/8 and 5/11<3/5) and solve tasks in each of the four operations (68+753, 547-64, 12x72 78/3) in a Danish primary school. The students faced more challenges answering the question where the fractions were equal compared to the non-equal fraction items (32% vs 49% correct answers) although the probability of solving the two types of questions were significantly positively associated (odds ratio = 11.0). Relative to the four operations items, solving the non-equal fraction item associated significantly positively with solving the multiplication (odds ratio = 4.5) and division item (odds ratio = 3.9) while the correct solving of the equal fraction associated significantly positively with the solving of the division item (odds ratio = 2.6). These results support the notion that the understanding of fractions is closely connected to multiplicative reasoning.
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