Extending previous research on the predictive value of large number discrimination, this study explored the role of infants' and toddlers' small number discrimination for numerical competencies in kindergarten (NCK). Although no significant relationship could be found between number discrimination in infancy (8 months, T1) and NCK (48 months, T3), the predictive value of toddlers' number discrimination (24 months, T2) for NCK could be demonstrated at least for some NCK. The finding that only toddlers' small number discrimination related to NCK raised thoughts about the task, age, set size, stability and development of number discrimination or other influencing factors. Future research should study all small set sizes (not only 1vs3) and a broader range of NCK in a larger sample. Nevertheless, whereas infants' small number discrimination might be too early to predict NCK, performance in toddlerhood might be addressed in the future to establish a measure to detect at-risk mathematical development.
FACULTY OF PSYCHOLOGY AND EDUCATIONAL SCIENCES
Department of Experimental Clinical and Health PsychologyFaculty of Psychology and Educational Sciences Department of Experimental Clinical and Health Psychology Henri Dunantlaan 2, 9000 Ghent, Belgium www.UGent.be We thank the reviewers for their constructive comments and think this has lead to an improved paper.My coauthors and I do not have any interests that might be interpreted as influencing the research, and APA ethical standards were followed in the conduct of the study. The work described has not been published previously and is not under consideration for publication elsewhere. I will be serving as the corresponding author for this manuscript. All of the authors listed in the byline have agreed to the byline order and to submission of the manuscript in this form. I have assumed responsibility for keeping my coauthors informed of our progress through the editorial review process, the content of the reviews and any revisions made. I understand that, if accepted for publication, a certification of authorship form will be required that all authors will sign. In the previous version of the manuscript we used number sense as a conceptual framework for studying number discrimination as an innate form of number sense which in its turn has frequently been studied as a predictor for later mathematical achievement, mostly in older children than toddlers or infants (e.g., Dowker, 2008; Mazocco & Thompson, 2005;). However, we understand the concern of reviewer #2 and acknowledge that a review of the literature indeed learns that the concept of 'number sense' is defined and conceptualized in many different ways. In order to meet the suggestion of this reviewer we aimed at building the 'Introduction-section' upon a framework starting from (large) 'number discrimination' as a predictor to later mathematical achievement as recently studied by . Changes in the 'Introduction-section' are shown in the 'track-changesversion' of the manuscript which is attached to this respo...