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…

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…

"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…

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…

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…

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…

This study examined how children's moral reasoning in response to intergroup exclusion scenarios relates to inclusive attitudes and behaviors. A sample of 528 students (M[subscript age] = 9.19, SD = 0.90; 264 girls) in third through fifth grade participated in the "Developing Inclusive Youth" (DIY) program, which provided structured…

Numeric relational reasoning is a foundational mathematical idea for young children and is predictive of future success in mathematics. However, no readily available assessments exist that fully assess relational reasoning in young children. RTI International developed a Relational Reasoning subtask for potential inclusion on the Early Grade…

In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…

The importance of fostering in students the requisite language to understand what is being communicated and how to communicate their understanding requires educators to conceptualize themselves as teachers of language and content. It is possible to engage in activities of the mathematics classroom and through that participation engage in language…

Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction "x/y," children are often taught to use "partitioning": break the whole into "y" parts, and shade in "x" parts. Past research has shown that partitioning on number lines supports children's fraction…

Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction x/y, children are often taught to use "partitioning": Break the whole into y parts and shade in x parts. Past research has shown that partitioning on number lines supports children's fraction magnitude knowledge more than partitioning on…