The current study examined how prospective first- and second-grade mathematics teachers define the polygon diagonals concept, how they reconstruct their definition during and following an intervention, and how their concept images develop over time. Twenty-three prospective teachers participated in the study, during which they were asked to…

Does the timing of children's formal understanding of mathematical equivalence matter for algebra readiness? A change-resistance account (McNeil & Alibali, 2005) predicts that it is beneficial for children to construct a formal understanding of mathematical equivalence in the early grades before overly narrow operational patterns become…

This article details a classroom-based study designed to provide agency and voice to first and second grade emergent bilinguals as they processed the COVID-19 pandemic. Two California teachers created a narrative writing unit not only to teach specific writing skills, but also to challenge pervasive deficit assumptions that young children…

Mastering traditional algorithms has formed mathematics teaching in primary education. Educational reforms have emphasized variation and creativity in teaching and using computational strategies. These changes have recently been criticized for lack of empirical support. This research examines the effect of teaching two differently structured…

This research examined whether children's construals of mathematical manipulatives -- as toys or as tools for doing mathematics -- influenced their learning from a lesson with the manipulatives. Children (grades 2 and 3) were presented with a set of buckets and beanbags, and they were either given no information about the manipulatives (control)…

We present a multi-method design for elucidating young, mostly illiterate children's (grades 1 and 2 of Swiss elementary school, ages 6-8) ideas about energy. The design uses semi-structured interviews and video recordings as the main methods of data generation and collection, respectively. A plurality of tasks, including drawing, sorting and a…

Fractions are highly important. Therefore, it is crucial to understand the developmental trajectory of fraction knowledge and its main predictors and consequences. Our research team has proposed that we have a neurocognitive architecture dedicated to processing nonsymbolic ratios, which serves as a startup tool for fractions: the Ratio Processing…

The purpose of the study was to examine the influences of age, family socio-economic status (SES), and parents' food knowledge on preschool, kindergarten, and second grade students' conceptual understanding of food and nutrition. Fifty-two parent-child dyads, consisting of 17 preschoolers, 17 kindergartners, and 18 second graders participated in…

Experimentation skills are a central component of scientific thinking, and many studies have investigated whether and when primary-school children develop adequate experimentation strategies. However, the answers to these questions vary substantially depending on the type of task that is used: while discovery tasks, which require children to…

Engaging learners in exploratory problem-solving activities prior to receiving instruction (i.e., explore-instruct approach) has been endorsed as an effective learning approach. However, it remains unclear whether this approach is feasible for elementary-school children in a classroom context. In two experiments, second-graders solved mathematical…

We investigated the relation between children's numerical-magnitude representations and their memory for numbers. Results of three experiments indicated that the more linear children's magnitude representations were, the more closely their memory of the numbers approximated the numbers presented. This relation was present for preschoolers and…

To date, a number of studies have demonstrated the existence of mismatches between children's "implicit" and "explicit" knowledge at certain points in development that become manifest by their gestures and gaze orientation in different problem solving contexts. Stimulated by this research, we used eye movement measurement to…

The National Science Education Standards [National Research Council (1996) National science education standards. Washington, DC: National Academy Press] recommend that students understand the apparent patterns of motion of the sun, moon and stars by the end of early elementary school. However, little information exists on students' ability to…

Earthquake, a natural disaster, is among the fundamental problems of many countries. If people know how to protect themselves from earthquake and arrange their life styles in compliance with this, damage they will suffer will reduce to that extent. In particular, a good training regarding earthquake to be received in primary schools is considered…

Two hundred first- and second-grade Chinese children's knowledge of basic relational concepts in following directions was assessed on the "Applications Booklet" of the "Boehm Test of Basic Concepts-Revised" (BTBC-R, 1986). Chinese children's performance was then compared with that of the standardization sample of the BTBC-R.…