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Understanding the basis of mathematical development is essential for supporting mathematics learning and to develop efficient interventions for remediating early problems. In the past decade, evidence has accumulated in support of the importance of ordering skills (i.e., tasks that tap into children's ability to recall the order of items or to judge the correctness of the order of items) in predicting early mathematics performance. Nevertheless, so far these studies have only provided correlational evidence, and intervention studies are lacking. The aim of the current study was to fill this gap by investigating the potential causal role of three types of ordering abilities (number ordering, daily event ordering and order working memory) in the development of mathematics skills during the first year of primary school. Children participated in six brief training sessions over a three-week period, and their mathematics skills and mathematics anxiety were measured before and after the training. In addition to the three training conditions, an active control group was also involved, with children completing reading comprehension exercises. Our findings showed that children's performance improved substantially on all ordering tasks as a result of training. Additionally, training in daily event ordering and number ordering has led to large increases in children's formal mathematics skills. Mathematics anxiety was not affected by the interventions. The current results provide initial evidence for the usefulness of order processing training in developing children's early mathematics skills. They also show that these results are not specific to the domain of numerical ordering.

In order processing, consecutive sequences (e.g., 1-2-3) are generally processed faster than nonconsecutive sequences (e.g., 1-3-5) (also referred to as the reverse distance effect). A common explanation for this effect is that order processing operates via a memory-based associative mechanism whereby consecutive sequences are processed faster because they are more familiar and thus more easily retrieved from memory. Conflicting with this proposal, however, is the finding that this effect is often absent. A possible explanation for these absences is that familiarity may vary both within and across sequence types; therefore, not all consecutive sequences are necessarily more familiar than all nonconsecutive sequences. Accordingly, under this familiarity perspective, familiar sequences should always be processed faster than unfamiliar sequences, but consecutive sequences may not always be processed faster than nonconsecutive sequences. To test this hypothesis in an adult population, we used a comparative judgment approach to measure familiarity at the individual sequence level. Using this measure, we found that although not all participants showed a reverse distance effect, all participants displayed a familiarity effect. Notably, this familiarity effect appeared stronger than the reverse distance effect at both the group and individual level; thus, suggesting the reverse distance effect may be better conceptualized as a specific instance of a more general familiarity effect.