There is growing evidence that the ability to perceive structure is essential for students' mathematical development. Looking at students' structure sense in basic numerical and patterning tasks seems promising for understanding how these tasks set the foundation for the development of later mathematical skills. Previous studies have shown how…

In this study, the authors investigate the ways in which young students demonstrate their critical mathematical thinking (CMT). Students aged 5-6 who are beginning their first formal year of education participated in the study. Data is presented from individual clinical interviews undertaken with 16 students. These interviews were analysed using…

The purpose of this study is to examine who young children (3-7-year-olds) would depend on for asking information, and whose information they would endorse: the one provided precise expressions which were the mathematical presentation of several measurements or the other by a person who provided relative expressions which were assistant's personal…

Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…

Understanding rational numbers is a complex task for primary and secondary school students. Previous research has shown that a possible reason is students' tendency to apply the properties of natural numbers (inappropriately) when they are working with rational numbers (a phenomenon called "natural number bias"). Focusing on rational…

Perturbations to the speech articulators induced by frequently using an interfering object during infancy (i.e., pacifier) might shape children's language experience and the building of conceptual representations. Seventy-one typically developing third graders performed a semantic categorization task with abstract, concrete and emotional words.…

This paper investigated the intuitive development of the concept of integers among primary school students. In order to reveal if primary school students had an intuitive sense of integers, an assessment consisting of five questions was prepared and applied to a total 100 4th grade students. A variety of integer concepts were utilized in the…

Background: Prior studies on fraction magnitude understanding focused mainly on students with relatively sufficient formal instruction on fractions whose fraction magnitude understanding is relatively mature. Aim: This study fills a research gap by investigating fraction magnitude understanding in the early stages of fraction instruction. It…

Metaphor development in conjunction with verbal intelligence and linguistic competence in middle childhood and at the transition to early adolescence was investigated. 298 individuals between seven and ten years (chronological age) who attended grades two-four (mental age) were tested for metaphor processing by the Metaphoric Triads Task, for…

Reasoning about graphical representations representing dynamic data (e.g., distance changing over time), including interpreting, creating, changing, combining, and comparing graphs, can be considered a domain-specific operationalization of the general twenty-first century skills of creative, critical thinking and solving problems. This paper…

Learning about heredity is important across the K-12 continuum. However, these ideas may be challenging for students. We examined third-grade students' ideas about heredity in the context of a new, six-week, model-based science unit that uses corn as a model organism to support students' ideas about heredity. We analyzed data collected during…

The aim of the research was to identify how Slovenian primary and secondary school students of various age groups explain the particulate nature of the states of matter of water and air. The qualitative research included five 12, 14, and 16 year old students. A semi-structured interview including four computer-displayed tasks was used for the data…

Purpose: The purpose of this paper is to examine how lesson study can lead to teacher learning and improvement of instruction by developing teachers' mathematical-task knowledge and by supporting teachers' selection, modification, and implementation of mathematical tasks. Mathematical-task knowledge includes knowledge needed to use tasks that…

Advanced theory-of-mind (AToM) development was investigated in three separate studies involving 82, 466, and 402 elementary school children (8-, 9-, and 10-year-olds). Rasch and factor analyses assessed whether common conceptual development underlies higher-order false-belief understanding, social understanding, emotion recognition, and…

This investigation examined orthographic and semantic processing during reading acquisition. Children in first to fourth grade were presented with a target word and two response alternatives, and were asked to identify the semantic match. Words were presented in four conditions: an exact match and unrelated foil (STONE-STONE-EARS), an exact match…