Teacher-child interaction quality and Chinese children's academic and cognitive development: New perspectives from piecewise growth modeling
EARLY CHILDHOOD RESEARCH QUARTERLY
Authors: Hu, Bi Ying; Fan, Xitao; Wu, Yan; LoCasale-Crouch, Jennifer; Song, Zhanmei
Abstract
This longitudinal study utilized piecewise growth modeling to examine how teacher-child interaction quality contributed to children's academic and cognitive growth in a stratified random sample of Chinese children. Data on the classroom teacher-child interaction quality (the three domains of the Classroom Assessment Scoring System: Emotional Support, Classroom Organization, and Instructional Support) and child outcomes (Chinese reading, native vocabulary, math, and executive functioning) were collected three times (T1, T2, and T3) during K2 through K3 years. Findings showed that the Instructional Support (IS) score at the second semester of kindergarten 2 (T1, K2-2) was significantly related to preschool K2-2 children's initial levels of native vocabulary, math, and executive function scores. More importantly, IS predicted preschoolers' math growth during Stages 1 (K2-2 to K3-1) and 2 (K3-1 to K3-2), and predicted executive function growth during Stage 2 (K3-1 to K3-2). Findings are discussed in the context of Chinese early childhood education policies and practice, as well as limitations and future research directions. (C) 2019 Elsevier Inc. All rights reserved.
Low independence number and Hamiltonicity implies pancyclicity
JOURNAL OF GRAPH THEORY
Authors: Dankovics, Attila
Abstract
A graph on n vertices is called pancyclic if it contains a cycle of every length 3 <= l <= n. Given a Hamiltonian graph G with independence number at most k, we are looking for the minimum number of vertices f(k) that guarantees that G is pancyclic. The problem of finding f(k) was raised by Erdos in 1972, who showed that f(k)<= 4k4 and conjectured that f(k)=Theta(k2). Improving on a result of Lee and Sudakov, we show that f(k)=O(k11/5).