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…

Research showed that the capacity of making simple estimations begins to develop already at the age of five, but little is known about the early development of this estimation capacity and the strategies that underly it. The current study longitudinally followed the estimation capacity and strategies of 332 children from first to second grade of…

The study set out to explore different mathematical difficulties among 877 second-grade children and to test the effect of memorization versus conceptual practices with number combinations. It used a latent profile analysis of baseline measurements of digit writing speed, number combination fluency, multidigit calculation, and number sense skills…

We share results from a one-year early algebra classroom intervention. One kindergarten, one first-grade, and one second-grade classroom participated in the intervention and three classrooms of the same grade levels served as control sites. The intervention addressed the structure of even and odd numbers, mathematical equivalence and equations,…

Rules are often created based on the needs and values of society. Social rules, on the other hand, are guidelines that state whether we should or should not do certain behaviors. In addition to educational activities, schools also include activities aimed at teaching social rules. The concept of rule, its formation, implementation, classification…

Early purposes of education in the United States concentrated on preparing young citizens to understand democratic principles in order to participate in their democratic communities. Today elementary instruction has contracted in response to years of high stakes accountability measures. Social studies has not been a focus of federal accountability…

This study explored the mathematical beliefs of two second-grade teachers. This exploration included 1) the nature of mathematics beliefs and orientation towards teaching and learning held by the teachers, 2) how their beliefs were developed and, when applicable, changed, and 3) how their beliefs influenced their mathematics instruction. It used…

While there is increased interest in using movement and embodiment to support learning due to the rise in theories of embodied cognition and learning, additional work needs to be done to explore how we can make sense of students collectively developing their understanding within a mixed-reality environment. In this paper, we explore embodied…

Although the "Next Generation Science Standards" (NGSS) have three dimensions, the crosscutting concepts are often the forgotten dimension. One reason teachers may not emphasize the crosscutting concepts might be because they are broad, domain-general constructs that can be difficult to conceptualize in a meaningful way. Yet, when taught…

The aim of this study was to investigate second-grade elementary school students' performance related to their counting skills, place value understanding, and addition operation in natural numbers. A total of 205 second-grade elementary school students from Turkey participated in this study. The data were collected through a 'Personal Information…

A longitudinal study was conducted to identify unique sources of individual differences in later understanding of the equal sign as a relational symbol of equivalence (i.e., formal understanding of mathematical equivalence). The sample included 141 children from a mid-sized city in the Midwestern United States (M[subscript age] = 6 years, 2 months…

This study examined the effects of embodied learning experiences on students' understanding of computational thinking (CT) concepts and their ability to solve CT problems. In a mixed-reality learning environment, students mapped CT concepts, such as sequencing and loops, onto their bodily movements. These movements were later applied to robot…

Numeracy is one of the essential competencies that the objectives of teaching math to primary students should be towards. However, many research findings show that the problem of "innumeracy" frequently exists at primary schools. That means children still do not feel at home in the world of numbers and operations. Therefore, the paper…

We investigated the effect of conceptual transparency in the physical structure of manipulatives on place-value understanding in typically developing children and those at risk for mathematics learning disabilities. Second graders were randomly assigned to one of three manipulatives conditions: (a) attachable beads that did not make the…

The authors share the results of a research project involving the use of mathematics to develop students' Numeracy General Capabilities. The current article delves into an example of a teacher supporting 'good habits of mind' through focussing on the Critical Learning Disposition of accuracy.