The development of temporal metamemory

In two studies of knowledge about the properties and processes of memory for the times of past events, 178 children from 5 through 13 years of age and 40 adults answered questions about how they would remember times on different scales, how temporal memory is affected by retention interval, and the usefulness of different methods. The adults showed quite accurate knowledge about the main properties of memory for time and the processes that underlie it. Different properties and processes were first understood at ages ranging from 8 years to 12 years or later. Knowledge of the roles of reconstruction and impressions of temporal distances appear well after children use them to remember the times of events.     

A brief screening battery for predicting school achievement at ages seven and nine years

This article describes the development, utilization, and evaluation of an early screening battery for predicting school success or failure. The battery was administered to the pediatric population of the Southern California Permanente Medical Group, Panorama City Medical Center, at the time of the routine five-year health examination. For 411 children whose school performance was assessed by the teacher at age seven years, the Caldwell Test was the best predictor, but it had significant value for girls only (p<0.0001). In 1,251 children evaluated at age nine years, the Beery-Butkenica Developmental Test of Visual-Motor Integration (VMI) and the Caldwell Test were the best predictors (p⩽0.003). In 600 children for whom we had teacher ratings at ages seven and nine years, the VMI repeated at age seven years significantly predicted academic achievement and reading at age nine years for girls and boys (p = 0.007). Although combining the academic performance with VMI results at age seven years yielded 89% accuracy of prediction at age nine years, the false-positive rate represents a serious practical problem of mislabeling children as school failures.     

The development of an intuitive understanding of entropy

Previous studies of the concept of entropy have indicated that before 7 to 9 years of age, children have difficulty understanding the effects of randomizing forces and often predict highly improbable events, such as a return to the original ordered state. In the present research, 306 children between 3 and 11 years of age were asked directly whether undifferentiated forces, such as the wind or objects being thrown into the air, could create order or disorder in a set of objects. The results showed that even 4-year-olds are sensitive to the asymmetrical effects of such events. Older children apply this principle more consistently and are able to use it in explaining their answers.     

Causal knowledge and children’s possibility judgments

Children often say that strange and improbable events, like eating pickle-flavored ice cream, are impossible. Two experiments explored whether these beliefs are explained by limits in children's causal knowledge. Participants were 423 predominantly White Canadian 4- to 7-year-olds (44% female) tested in 2020–2021. Providing children with causal information about ordinary events did not lead them to affirm that improbable events are possible, and they more often affirmed improbable events after merely learning that a similar event had occurred. However, children were most likely to affirm events if they learned how similar events happened (OR = 2.16). The findings suggest that knowledge of causal circumstances may only impact children's beliefs about the possibility after they are able to draw connections between potential events and known events.     

Structural and conceptual interweaving of mathematics methods coursework and field practica

This paper describes a study of observed relationships between the design of a preservice elementary mathematics methods course with accompanying field practicum and changes in the extent to which participating prospective teachers identified themselves with the mathematics reform movement after becoming practicing teachers. The curriculum of the course with its embedded field practicum experiences was designed to support prospective teachers in interweaving methods coursework and pedagogical instruction with classroom practice. University and elementary school structures were interwoven by conducting weekly mathematics methods course sessions at a school site followed immediately by related practicum experiences in classrooms in the school. The interweaving of conceptualizations about mathematics teaching and learning was facilitated as the methods instructor provided professional development for classroom teachers simultaneously with the methods course, encouraging the teachers to create “reform-friendly” classroom environments. Survey data from 68 prospective teachers involved in the project were analyzed to identify and describe relationships between course/practicum experiences and the degree to which they as practicing teachers, 1–3 years following the course/practicum, identified with a reform mathematics perspective, as well as to examine factors influencing those relationships.