In this paper, we report on the interim findings of a study that seeks to identify the characteristics of children's Critical Mathematical Thinking CMT. Characteristics of CMT were initially generated from a synthesis of relevant research literature and then validated using a case study methodology via trials in early childhood classrooms. This…

Complex problem solving is an effective means to engage students in disciplinary content while also furnishing critical non-cognitive and life skills. Despite increased adoption of complex problem-solving methods in K-12 classrooms today (e.g., case-, project-, or problem-based learning), we know little about how to make these approaches…

Problem-based learning (PBL) offers a powerful approach to engage students in meaningful learning experiences by connecting classroom content to real-world challenges. This Spotlight explores how PBL can be implemented across K-12 to foster critical thinking, collaboration, and problem-solving skills. From preparing students for the workforce…

The International Technology and Engineering Educators Association's (ITEEA's) "Standards for Technological and Engineering Literacy" ("STEL") describes design thinking as an approach that allows students and educators to integrate other content areas by considering relevant contextual information to guide design and making…

The present paper reports on the abilities of young students to pose a problem and explores how these abilities relate to the solutions suggested as well as whether the age of the student influences these abilities. Specifically, twenty-seven 6-year-olds and thirty 9-year-olds from two state schools located in Volos, a small provincial town in…

In this COVID-era study, Catholic school teachers report the challenges that they experienced in supporting classroom communities during remote instruction, as well as the strategies that they enacted to address such challenges and make robust relationships with and among remote students. While teachers engaged in remote teaching, they were also…

In recent years, the learning and teaching of combinatorics presents particular educational research interest from the primary up to higher education levels. The combinatorial problems constitute a valuable opportunity for mathematical exploration, as combinatorics is a branch of mathematics with many applications, providing a complex network of…

This research synthesizes studies that used a Digitalized Interactive Component (DIC) to assess K-12 student mathematics performance during Computer-based-Assessments (CBAs) in mathematics. A systematic search identified ten studies that categorized existing DICs according to the tools that provided language assistance to students and tools that…

Despite recommendations to incorporate mathematical problem solving into the practice of primary teachers there is little evidence of the widespread acceptance of such advice by Early Years teachers. Understanding teachers' perceptions of the obstacles they encounter when incorporating mathematical problem solving into their teaching can shed…

Current teacher preparation programs have received scrutiny for failing to sufficiently support teachers in valuing and developing their knowledge of data literacy. The current study explores a collaborative approach to increasing pre-service teachers' experiences with data literacy by including under-utilized data experts: school psychologists.…

This study evaluated a classroom implementation of augmented reality (AR) for improving subitizing skills of preschool students. Children explored the mathematical concept of subitizing by using an AR enhanced board game, called "Creature Counting." The AR markers, which were friendly creatures, triggered the augmented reality functions.…

Research has shown that the efficacy of learning with manipulatives (e.g., fingers, blocks, or coins) is affected by multiple variables, including the amount of guidance teachers provide during learning. However, there is no consensus on how much guidance is necessary when learning with manipulatives. The goal of this study was to examine the…

Children's literature can provide useful contexts for teaching mathematics. In this article, the authors discuss the use of the children's book "Measuring Penny" (Leedy 1997) to support Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) related to length measurement. The authors first describe three types of misconceptions…

Educators and several national standards highlight the role that problem solving should play in students' mathematics education: problem solving is recognized as one of the most significant activities of doing mathematics. From the research point of view, nowadays, it is well established that cognitive and affective factors come into play in…

This study concentrated on word problems in Grades Kindergarten-3 and the application of the Standards for Mathematical Practice and the Content Standards. The study also included an analysis of focus, coherence, and rigor in the materials. The textbooks used were among the first editions to be published after the acceptance of the Common Core…