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…

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…

This paper considers one of the relevant problems of modern pedagogy - the use of logical approaches in teaching to the development of thought and language of primary schoolchildren. The purpose of the study is to determine the main criteria for the developmental education of thought and language to primary school children and to assess the level…

Mathematics concepts in early childhood education are often predictors later outcomes for student success, because mathematics is a foundational area of academics. The purpose of the research is to engage educators in conversations regarding experiential learning opportunities in early mathematics through curriculum planning and instructional…

Planning and conducting experiments require the application of the control of variables strategy (CVS). Research indicates that older children can learn the CVS by engaging in guided-inquiry activities. It has not been studied yet whether this is also the case for children as young as 6- to 7-years. 145 children aged 6-7 years participated in a…

Logical reasoning is very important in the child's development, increasing their performance in learning as a whole, improving their concentration and decision-making when solving problems. The introduction of this tool and stimulus from the first years of education is necessary for children to grow up with a broad and more critical view, being…

By bringing everyday phenomena into the classroom, teachers can more readily engage students in authentic scientific inquiry. When working with young children, the best phenomena are those that students can directly experience and investigate. Meaningful phenomena can be identified by watching children at play, listening to the conversations they…

The overall aim of the present study is to study model-based teaching and the collaborative inquiry learning of chemical processes and physical phenomena in preschool, with a specific focus on the verbal communication established between teachers and children (4-5 years old). According to variation theory, learning is always directed at a specific…

The current quantitative study, a naturalistic field experiment, was conducted in a public primary school in Soweto, Johannesburg, with the objective to examine how children's achievement on four assessments at the beginning of Grade R, namely their numeracy, their mathematics-specific vocabulary, their executive functions, and their logical…

In the present study, the relationship between the mathematics grade and the three basic cognitive abilities (inhibition, working memory, and reasoning) was analyzed regarding possible alterations during elementary school. In a sample of N = 244 children, the mathematics grade was best predicted by working memory performance in the second grade…

In this study, we analyzed the imprecise (i.e., less mathematically precise) responses that 148 third- to fifth-grade Chinese students made on selected-response problems that were part of a spontaneous mathematical focusing task, the Quantitative Relations Test for Chinese Children (QRTC[superscript 2]). The purpose for this analysis was to…

How people see the world, even how they research it, is influenced by beliefs. Some beliefs are conscious and the result of research, or at least amenable to research. Others are largely invisible. They may feel like "common knowledge" (though myth, not knowledge), unrecognized premises that are part of the surrounding culture. As we…

This report summarizes the findings across two case studies conducted as part of WestEd's evaluation of the California Statewide Early Math Initiative (CAEMI). The case studies aimed to understand the planning and implementation of professional learning and coaching in local communities. They also examined changes in educators' math knowledge,…

Research Findings: Anthropomorphism--the attribution of human characteristics to nonhuman entities--has long been a staple of children's media. However, children's experiences with anthropomorphic media may interfere with biological reasoning instead encouraging an anthropocentric view of the natural world. To date, little research has addressed…