The paper is the result of extensive research carried out among Czech students and focuses on a conception of infinity. The questionnaire survey was taken by 861 students ranging from grades 7 to 13. The aim of the research was to describe the development of students' conceptions of infinity. These conceptions are built on the intuitive phenomenon…

We performed a meta-analysis of dual-task experiments to assess the robustness of the effects of conducting working memory secondary tasks on arithmetic performance. Four hundred effect sizes from 21 studies from 1,049 participants were analyzed across a variety of specifications. Results revealed that increases in working memory load resulted in…

The purpose of this study was to examine adult developmental mathematics (ADM) students' knowledge of fraction addition and subtraction as it relates to their demonstrated fraction schemes and ability to disembed in multiplicative contexts with whole numbers. The study was conducted using a mixed methods sequential explanatory design. In the first…

Children had to choose one of two urns--each comprising beads of winning and losing colours--from which to draw a winning bead. Three experiments, aimed at diagnosing rules of choice and designed without confounding possible rules with each other, were conducted. The level of arithmetic difficulty of the trials was controlled so as not to distort…

The current literature in early childhood mathematics provides for little explanation of early mathematics skill acquisition in young children. This study was designed to use existing research on specific early mathematics skills to examine a cohesive model of mathematics skills in preschool and kindergarten aged students. Preschool and…

Background: Poor comprehenders are children who show significant deficits in their reading comprehension performance, despite average, or above-average word reading ability. To date, there have been no in-depth studies of the mathematical performance profiles of such children. Aims: This study aimed to explore the mathematical profiles of poor…

Using the ''between-grade levels'' regression discontinuity design, this study examined the hypothesized differential sensitivity of logico-mathematical (LM) and infralogical (IL) operational tasks to the effects of chronological age and first grade schooling in a sample of 580 1st and 2nd grade Israeli children. The results indicate that the…

This study examines the development of children's ability to reason about proportions that involve either discrete entities or continuous amounts. Six-, 8- and 10-year olds were presented with a proportional reasoning task in the context of a game involving probability. Although all age groups failed when proportions involved discrete quantities,…

Background: Understanding and solving problems involves different levels of representation. On the one hand, there are logico-mathematical representations, or problem models (PMs), which contain information such as "the size of the flock changed from 31 sheep to 42" while, on the other hand, there are more qualitative representations, or…

This study explored the arithmetic skills of 39 children with arithmetic learning difficulties (ALD), compared to two control groups, one consisting of normally achieving children matched to the ALD sample for chronological age (n =28), and another comprising younger normally achieving children matched to the ALD sample for arithmetic level (n…

The effects of age, grade placement, visual acuity, sex, arithmetic, and reading achievement were investigated on the integration of 61 visually handicapped children (8 to 22 years old). (CL)

The effects of age, readiness, sex, and race variables in first grade on the later reading, spelling, and arithmetic achievement and on the personal, social, and total adjustment of 1,110 culturally deprived fourth-grade pupils were studied. Readiness levels were determined by the Metropolitan Readiness Test; achievement areas were measured by the…

The influence of age of entrance to first grade on subsequent rate of scholastic development was tested in this longitudinal investigation. Forty-one pairs of boys and forty-nine pairs of girls, matched according to sex, intelligence, and socioeconomic status, were subjects. The mean chronological age of late entrants was 81 months, opposed to 72…

This article integrates the literature on intelligence and achievement outcomes in boys with Klinefelter syndrome (KS). It reports results of a study following 36 boys with KS and 33 sibling controls. Boys with KS demonstrated verbal cognitive deficits and significant underachievement in reading, spelling, and arithmetic, which increased with age.…