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This is a study of early picture book comprehension, its determinants and later development through primary school. More specifically, picture book comprehension was analyzed longitudinally from age 5 to age 9, delineating the unique contributions of vocabulary, metacognitive knowledge and task orientation to the initial level as well as to the growth of comprehension. A total of 90 Finnish-speaking children participated in the study. The children's narrative picture book comprehension was assessed at age 5, age 6 and age 9. Vocabulary, metacognitive knowledge and task orientation were evaluated at age 5. Latent growth curve modeling showed a pattern of decreasing achievement gaps in narrative picture book comprehension. Vocabulary and metacognitive knowledge uniquely contributed to the concurrent level of narrative picture book comprehension. The results further showed that metacognitive knowledge and task orientation were positive and statistically significant predictors of the growth of picture book comprehension over and above the initial level of narrative picture book comprehension. These findings add to our knowledge about the development of inter-individual differences in narrative picture book comprehension and the roles of vocabulary, metacognitive knowledge and task orientation in it. They also suggest a novel way to assess the narrative comprehension potential among students with compromised working memory or decoding ability.

A Word Problem Enrichment programme (WPE) has been found to increase student word problem solving performance when facing non-routine and application problems. However, it is unknown if the WPE has an impact on student beliefs about word problem solving and how the WPE works for students with different motivation in learning mathematics. This study investigated the impact of the WPE on student beliefs about word problem solving by using Latent Profile Analysis and Structural Equation Modelling to analyse relations among the different cognitive, motivation, and belief factors. A total of 170 fourth- and sixth-grade students from elementary schools participated. Results showed that the effects of WPE are various depending on students' initial motivation level. The impacts of the WPE on student beliefs were found only in students with a low initial motivation level, while its impacts on student problem-solving performance were found only in students with a high initial motivation level.

Many people have serious difficulties in understanding rational numbers, limiting their ability to interpret and make use of them in modern daily life. This also leads to later difficulties in learning more advanced mathematical content. In this study, novel tasks are used to measure 263 late primary school students' spontaneous focusing on quantitative relations, in situations that are not explicitly mathematical. Even after controlling for a number of known predictors of rational number knowledge, spontaneous focusing on quantitative relations is found to have a strong impact on students' learning of rational number conceptual knowledge. This finding opens new possibilities for developing pedagogical solutions to one of the most difficult challenges of mathematics education. The findings suggest that students' own focusing tendency and self-initiated practice may have on important role in the long-term development of complex cognitive skills.

This longitudinal research was designed to examine the prevalence and co-occurrence of peer problems such as rejection, withdrawal, loneliness, bullying, and victimization experienced by children (99 boys, 80 girls) in their everyday lives at daycare, in preschool and first grade of school--each successive spring--at the ages of 5, 6, and 7. Children were evaluated in individual testing sessions each year by peer interviews consisting of separate assessments of all problems. The results supported our hypothesis that children's peer problems were common, indicating co-occurrence, variability, and stability as well as changes over the years. There were some children who had a poorer prognosis than the others because their disadvantaged positions within their peer groups seemed to be unchanging between the successive years. (Contains 4 tables.)

A Word Problem Enrichment programme (WPE) has been found to increase student word problem solving performance when facing nonroutine and application problems. However, it is unknown if the WPE has an impact on student beliefs about word problem solving and how the WPE works for students with different motivation in learning mathematics. This study investigated the impact of the WPE on student beliefs about word problem solving by using Latent Profile Analysis and Structural Equation Modelling to analyse relations among the different cognitive, motivation, and belief factors. A total of 170 fourth- and sixthgrade students from elementary schools participated. Results showed that the effects of WPE are various depending on students' initial motivation level. The impacts of the WPE on student beliefs were found only in students with a low initial motivation level, while its impacts on student problem-solving performance were found only in students with a high initial motivation level. [ABSTRACT FROM AUTHOR]

The present study focuses on the development of two sub-concepts necessary for a complete mathematical understanding of rational numbers, a) representations of the magnitudes of rational numbers and b) the density of rational numbers. While difficulties with rational number concepts have been seen in students' of all ages, including educated adults, little is known about the developmental trajectories of the separate sub-concepts. We measured 10- to 12-year-old students' conceptual knowledge of rational numbers at three time points over a one-year period and estimated models of their conceptual knowledge using latent variable mixture models. Knowledge of magnitude representations is necessary, but not sufficient, for knowledge of density concepts. A Latent Transition Analysis indicated that few students displayed sustained understanding of rational numbers, particularly concepts of density. Results confirm difficulties with rational number conceptual change and suggest that latent variable mixture models can be useful in documenting these processes. [ABSTRACT FROM AUTHOR]