Relations between Subdomains of Home Math Activities and Corresponding Math Skills in 4-Year-Old Children

Most studies on the subject have investigated relations between home math activities and child math skills, without paying much attention to the specific skills that such activities foster and their alignment with children’s math assessments. The present study examined specific relations between subdomains of home math activities and children’s corresponding math skills (e.g., home counting/cardinality activities related to children’s counting/cardinality skills). Participants were 78 mostly middle-income, White parents and their four-year-old children (M age = 53.19 months; 45% girls). Parents completed a 24-item survey about the frequency of home activities supporting five subdomains of math: counting/cardinality, set comparison, number identification, adding/subtracting, and patterning. Children’s skills in these same five subdomains were assessed using the Preschool Early Numeracy Scale (PENS) and the Early Patterning Assessment. Specific relations were observed in set comparison, adding/subtracting, and patterning, such that higher frequency of home activities in these subdomains related to advanced child math skills in the corresponding subdomains. No specific relations were found in counting/cardinality and number identification. Overall home math activities averaged across the five math subdomains positively related to children’s overall math skills. Findings highlight the importance of engagement in specific math activities in the home environment and their significance for corresponding child math development.

Gender and Math Development

A great deal of research has examined math development in males versus females. Some studies indicate that males do better on standardized tests of mathematics achievement, whereas females get better grades in math class than males. Other studies find no gender differences in math development, or that differences depend on factors such as the type of math problem included on the tests. Further, there is evidence that gender differences in math test performance are not stable over time, with accumulating evidence that these differences are narrowing in more recent cohorts. In addition to evidence concerning sex differences in math grades and test performance, there is evidence that there are sex differences in math attitudes, with females showing higher levels of math anxiety and less confidence in their math ability than males, controlling for their math performance. Additionally, there is evidence that stereotypes exist such that teachers and parents believe that males are better at math than females, even when males and females have comparable levels of math skill. Moreover, when this math stereotype is activated before taking a math test, stereotype threat ensues and female performance is negatively affected. A wide range of factors, including biological differences, sociocultural factors, including stereotypes, and differences in math attitudes and interests, are likely to act in concert to account for male-female differences in mathematics achievement and decisions to enter math-intensive careers.

Does 1 + 1 = 2nd? The relations between children’s understanding of ordinal position and their arithmetic performance

The current study examined the relations between 5- and 6-year-olds’ understanding of ordinality and their mathematical competence. We focused specifically on “positional operations,” a property of ordinality not contingent on magnitude, in an effort to better understand the unique contributions of position-based ordinality to math development. Our findings revealed that two types of positional operations—the ability to execute representational movement along letter sequences and the ability to update ordinal positions after item insertion or removal—predicted children’s arithmetic performance. Nevertheless, these positional operations did not mediate the relation between magnitude processing (as measured by the acuity of the approximate number system) and arithmetic performance. Taken together, these findings suggest a unique role for positional ordinality in math development. We suggest that positional ordinality may aid children in their mental organization of number symbols, which may facilitate solving arithmetic computations and may support the development of novel numerical concepts.