Scale and the evolutionarily based approximate number system: an exploratory study

ABSTRACT

Crosscutting concepts such as scale, proportion, and quantity are recognised by U.S. science standards as a potential vehicle for students to integrate their scientific and mathematical knowledge; yet, U.S. students and adults trail their international peers in scale and measurement estimation. Culturally based knowledge of scale such as measurement units may be built on evolutionarily-based systems of number such as the approximate number system (ANS), which processes approximate representations of numerical magnitude. ANS is related to mathematical achievement in pre-school and early elementary students, but there is little research on ANS among older students or in science-related areas such as scale. Here, we investigate the relationship between ANS precision in public school U.S. seventh graders and their accuracy estimating the length of standard units of measurement in SI and U.S. customary units. We also explored the relationship between ANS and science and mathematics achievement. Accuracy estimating the metre was positively and significantly related to ANS precision. Mathematics achievement, science achievement, and accuracy estimating other units were not significantly related to ANS. We thus suggest that ANS precision may be related to mathematics understanding beyond arithmetic, beyond the early school years, and to the crosscutting concepts of scale, proportion, and quantity.     

Emotional and behavioural development in Glasgow primary schools

Studies examining the well-being of British children find that about 5–10% are at risk of developing problems. This study aimed to examine the emotional and behavioural development of six to eight year olds in an area of socio-economic deprivation in Glasgow (Scotland) and compare this with UK norms. Furthermore, it aimed to look at overlap between the problems children had. It was a population-based survey involving parents and teachers of 1658 children. The study found that the overall emotional and behavioural development in this deprived population was surprisingly similar to UK norms. There was however a small group of children with overlapping problems. There is an emphasis within Glasgow on supporting young people's social, emotional and behavioural needs, particularly with regard to nurture and attachment. Implications of Glasgow initiatives are discussed, and their potential role in helping children from deprived backgrounds maintain levels of emotional and behavioural development in line with UK norms and, in particular, this group with overlapping problems is explored.     

An innovative model for collaborative reform in Elementary School Science Teaching

This article received the Innovations in Teaching Science Teachers award at the 1996 meeting of the Association for the Education of Teachers in Science. The award is made possible by Delta Education.This material is based upon work supported by the National Science Foundation (Grant No. TPE-9050015). Any opinions, findings, and conclusions or recommendations expressed in this article are those of the authors and do not necessarily reflect the views of the National Science Foundation.