ABSTRACT
Math experiences during the preschool years play an important role in children's later math learning. Preschool teachers exhibit considerable variability in the amount and types of mathematics activities they engage in with their students; one potentially important source of these individual differences is adults' knowledge of early math development. The current study aimed to describe preschool teachers' knowledge of numeracy, patterning, and spatial/geometric skills developed in preschool and its relation to their reported mathematics instruction. Participants (N = 83) completed a survey in which they judged whether particular early math skills could be observed in typically developing 4-year-olds in the United States and reported their frequency of engaging in different math instructional activities. Pre- and in-service preschool teachers' knowledge varied across the different domains (i.e., numeracy, patterning, and spatial/geometric) of mathematical thinking, but their reported frequency of instruction did not. Teachers who were found to be more accurate in their knowledge of early math development were more likely to report higher frequency of math instruction; looking specifically at the domains, the strength of association between knowledge and instruction was the strongest for numeracy. Such findings highlight the possibility that supporting preschool teachers' knowledge of the range of math skills their students can be developing may be one component of improving early math teaching and learning.
ABSTRACT
Parents' knowledge about the math skills that most preschool-aged children can develop might be an important component of the Home Math Environment (HME) as it might shape their math beliefs and efforts to support their preschoolers' math development. This study aimed to systematically develop measures of parents' knowledge about two critical early math topics, numeracy, and patterning, across five studies conducted with a total of 616 U.S. parents of 3- to 5-year-olds (66% mothers, 54% sons, 73% White, 60% college-educated). Parents were recruited via CloudResearch or a university database. Study 1 focused on item generation to revise a previous measure to capture a wider set of children's early math skills and analysis of the psychometric properties of the measure after it was completed by 161 parents via a survey. Study 2 included an analysis of a new sample of parents (n = 21) who responded to the measures twice across two weeks to explore test-retest reliability. The measures were iteratively revised, administered to new samples, and analyzed in Studies 3 (n = 45), 4 (n = 46), and 5 (n = 344). The measures demonstrated adequate internal consistency and validity (construct, convergent, and discriminant) in Study 5 such as being positively related to parents' numeracy and patterning beliefs about their children. Overall, the newly developed measures satisfy standards for the development of an adequate measure and can be used to better understand what parents know about early math development and how this relates to the HME that they facilitate.
ABSTRACT
To use a symbol, children must understand that the symbol stands for something in the world. This development has often been investigated in the model-room task in which children use a scale model to try to find a toy that is hidden in the room that the model represents. To succeed, children must acquire dual representation; they must put aside their understanding of the model as an object and focus more on what the model represents. Here we suggested that forgetting irrelevant details or misleading information may be an important part of acquiring and maintaining dual representation. Based on prior research showing that forgetting can promote insight in children and adults and that a small sample of 3-year-olds could improve on the model-room task with a delay, we hypothesized that taking a break during the model-room task would facilitate forgetting and hence symbolic insight. A total of 88 3-year-olds performed 8 trials of the model-room task. Half of the children received a 24-h delay after Trial 4, and half performed the 8 trials consecutively. Children who received a 24-h delay had better symbolic performance on the last 4 trials compared with children whose testing sessions occurred consecutively on 1 day, even when statistically controlling for the effects of learning over trials and memory on children's performance. This study provides strong initial evidence that a delay can promote symbolic insight in 3-year-old children.
