Despite its proven added value, modeling-based learning (MbL) in science is not commonly incorporated into the early grades. Our purpose in this descriptive case study was to enrich our understanding of how kindergarten children enact MbL by examining these children's constructed models and their accompanying oral descriptions of their models. For…

Background: Recent studies have revealed the association between mapping and arithmetic (Ferres-Forga et al., "J. Numer. Cogn.", 8, 2022, 123; LeFevre et al., "J. Numer. Cogn.", 8, 2022, 1). Aim: The underlying mechanism remains unclear. Materials & Methods: The current study recruited 118 kindergarten children and followed…

Young children can generalize from known to novel, but the underlying mechanism is still debated. Some argue that from an early age generalization is category-based and undergoes little development, while others believe that early generalization is similarity-based, and the use of categories emerges over time. The current research brings new…

Background and Aims: This study examined the effects of working memory training (WMT) on WM and fluid intelligence. A novel four-pronged model of mediated learning, cognitive functions, task characteristics and metacognition is presented as a conceptual basis for the Modifiability of a Working Memory Program (MWMP). Our basic assumption is that…

Algorithms are the essence of computational thinking, which refers to a set of problem-solving processes that help children become logical thinkers in this increasingly digital society. It is important for teachers of young children to carefully plan and implement algorithm design tasks that involve repeated step-by-step procedures to build strong…

"Lollipop Logic" employs visual and pictorial clues to introduce and reinforce high-powered thinking for pre-readers. Seven different thinking skills--sequences, relationships, analogies, deduction, pattern decoding, inference, and critical analysis--are presented in a format designed to appeal to gifted young learners. This…

Findings on children's proportional reasoning abilities strongly vary across studies. This might be due to the different contexts that can be used in proportional problems: fair-sharing, mixtures, and probability. A review of the scientific literature suggests that the context of proportional problems may not only impact the difficulty of the…

In this exploratory descriptive study, changes in one cohort's responses to an authentic statistical investigation at the commencement of years 3 and 4 were analysed. Forty-four students made predictions by interpreting a data table of historical monthly temperatures, represented these data and explained their reasoning. An Awareness of…

Background: There is a growing evidence base for the importance of spatial reasoning for the development of mathematics. However, the extent to which this translates into practice is unknown. Aims: We aimed to understand practitioners' perspectives on their understanding of spatial reasoning, the extent to which they recognize and implement…

This article describes the conceptual development of a learning app, "Representations", developed for preschool children (4-5 years of age). In this article we analyze how the app supported the development of logical reasoning via a variety of decoding, encoding, conditionals and debugging activities, which were supported in the game…

This paper describes elementary students' awareness and representation of the aggregate properties and variability of data sets when engaged in predictive reasoning. In a design study, 46 third-graders interpreted a table of historical temperature data to predict and represent future monthly maximum temperatures. The task enabled students to…

Guided play activities were developed so that coding clubs could promote computational thinking skills in preschool children. The clubs involved fifteen children aged between 2 and 4 years, including a group of children with communication difficulties. The children took part in an action-research scoping study over three coding clubs involving six…

Children struggle with exact, symbolic ratio reasoning, but prior research demonstrates children show surprising intuition when making approximate, nonsymbolic ratio judgments. In the current experiment, eighty-five 6- to 8-year-old children made approximate ratio judgments with dot arrays and numerals. Children were adept at approximate ratio…

Opportunities for five students to access higher mathematics and critical thinking is often restricted until they have developed sufficient knowledge. This case study focuses on two reception class teachers and their teacher actions used to develop mathematical reasoning with their students. The findings illustrate the impact these teachers have…

Fractions are a challenging mathematics topic for many elementary and middle school students, and even for adults. However, a growing body of developmental research suggests that young children can reason about visually presented proportions, well before fraction instruction, providing insight into how fractions might be introduced to improve…