The present study investigated if preschool children's intention understanding could predict their use of other-oriented conflict resolution strategies. Participants were 30 preschool children (13 girls, M[subscsript age] = 4.46 years, SD = 0.73, range: 3.21-5.50 years). The children were observed for their conflict resolution strategies during…

Competence in fractions is important in achieving advanced mathematics such as algebra and calculus. To foster students' understanding of fractions, intervention studies have found number lines to be an effective representational tool. Yet, it is unclear whether or not number lines are equally effective regardless of the ways in which they are…

The present study investigated the effects of two emotion trainings on young children's knowledge about jealousy. Participants were 53 kindergarten and first-grade children who were assigned to one of two experimental conditions or a control condition. Children in the first experimental condition (video condition) received discussions about the…

There is a consensus that certain cognitive abilities and mathematics performance are related. This link also extends to geometry. Surprisingly, however, little research has examined specific aspects of cognition that may contribute to successful performance in geometry, particularly at the secondary level. In this study, we explored in what ways,…

Recent studies have shown that strengths in spatial skills are a key to success in STEM (science, technology, engineering, and mathematics) careers. However, these skills are undervalued in our educational system and thus seldom incorporated in classroom teaching. As a first step towards changing the current practices, we worked with a group of…

The study explored the relationship between types of spatial experiences and spatial abilities among 13- to 14-year-old high academic achievers. Each participant completed two spatial tasks and a survey assessing favored spatial activities across five categories (computers, toys, sports, music, and art) and three developmental periods (early…

The primary goal of the study was to explore first-grade children's reasoning about plane and solid shapes across various kinds of geometric representations. Children were individually interviewed while completing a shape-matching task developed for this study. This task required children to compose and decompose geometric figures to identify…

This study investigates cognitive difficulties and mathematical ideas that are related to making connections among representations. A three-week intervention was designed and implemented to help prospective secondary mathematics teachers develop understanding of big ideas that are critical to connection of representations in algebra. This study…

This study examined average-, high- and top-performing US fourth graders' rational number problem solving and their understanding of rational number representations. In phase one, all students completed a written test designed to tap their skills for multiplication, division and rational number word-problem solving. In phase two, a subset of…

Spatial reasoning plays a vital role in choice of and success in science, technology, engineering, and mathematics (STEM) careers, yet the topic is scarce in grade school curricula. We conjecture that this absence may be due to limited knowledge of how spatial reasoning is discussed and engaged across STEM professions. This study aimed to address…

We examined preschool children's use of count information in making quantity judgments. Study 1 involved 35 children 3-5 years old using a balance-scale task to judge relative quantity with or without count information provided. Study 2 replicated and extended the exploration as 54 children 3-4 years old judged relative quantity in multiple…

This paper finds its origins in a multidisciplinary research group's efforts to assemble a review of research in order to better appreciate how "spatial reasoning" is understood and investigated across academic disciplines. We first collaborated to create a historical map of the development of spatial reasoning across key disciplines…

Children's credibility as witnesses in court cases has become an important issue in recent years. When testifying, younger children are considered to be more susceptible to suggestion than are older children. The present study examined the possibility that knowledge of an interviewer's mental states (intention and false belief, in this study)…

Using cognitive ethnography as a guiding framework, we investigated US and Japanese fourth-grade teachers' domain knowledge of key fraction representations in individual interviews. The framework focused on revealing cultural trends in participants' organization of knowledge and their interpretations of that organization. Our analyses of the…

This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…