Yup’ik Cosmology to School Mathematics: The Power of Symmetry and Proportional Measuring

This article shows how Yup’ik cosmology, epistemology, and everyday practice have implications for the teaching of school mathematics. Math in a Cultural Context (MCC) has a long–term collaborative relationship with Yup’ik elders and experienced Yup’ik teachers. Because of this long–term ethnographically–oriented relationship, the authors – both insiders and an outsider – have been able to understand the mathematical implications of everyday Yup’ik practice. As the article demonstrates, body proportional measuring and symmetry/splitting are two generative solution strategies used by Yup’ik elders in solving everyday problems. We argue that proportional measuring coupled with symmetry/splitting can provide school mathematics with an alternative pathway to the teaching of some aspects of geometry and rational number reasoning.     

Another failure to replicate Lynn's estimate of the average IQ of sub-Saharan Africans

In his comment on our literature review of data on the performance of sub-Saharan Africans on Raven's Progressive Matrices, Lynn (this issue) criticized our selection of samples of primary and secondary school students. On the basis of the samples he deemed representative, Lynn concluded that the average IQ of sub-Saharan Africans stands at 67 when compared to UK norms after a correction of the Flynn Effect. We criticize his methods for being unsystematic. Here we select only those samples that were based on stratified or clustered random sampling and were deemed representative by the original authors. We again fail to replicate Lynn's low estimate of the average IQ of Africans. We argue that these scores are hard to interpret in terms of latent cognitive variables such as g because of the psychometric incomparability we established and because the Flynn Effect has yet to take hold in sub-Saharan Africa.     

Parental interactions with Latino infants: variation by country of origin and English proficiency

This study examined variation in mother-infant interactions, father engagement, and infant cognition as a function of country of origin, socioeconomic status, and English language proficiency in a national sample of Latino infants (age 9 months) born in the United States and living with both biological parents (N=1,099). Differences between Mexican-American infants, who had lower mother-infant interaction scores and less father physical play than did the other Latino infants, were associated with differences in acculturation (both parents' English proficiency). Indicators of acculturation and paternal reports of happiness with partner were associated with paternal engagement. Indicators of acculturation were also related to mother-infant interactions. Infant cognitive scores were associated with maternal interaction but not father engagement, and maternal but not paternal mental health.