In this article, we present research on eight kindergarten and eight first-grade students' understandings of the arithmetic properties of commutativity, additive identity, and additive inverse during a classroom teaching experiment, selected from a larger study that included 88 students. In this study, we explore the students' types of…

This study investigated children's cooperative problem solving (CPS) behaviors during play in classrooms and associated influencing factors (school, age, and gender) in a Chinese kindergarten and U.S. early learning center. Four- and five-year-old participants (n = 39) were from one Chinese kindergarten and one U.S. center. They were video…

Question asking plays a fundamental role in learning, and the cognitive development literature contains many studies of specific types of question-asking skills. However, little is known about the developmental course across different aspects of question asking, of which we explore: (a) the ability to ask questions that enable children to solve a…

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…

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…

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…

Recent studies reveal that children can solve proportional reasoning problems presented with continuous amounts that enable intuitive strategies by around 6 years of age but have difficulties with problems presented with discrete units that tend to elicit explicit count-and-match strategies until at least 10 years of age. The current study tests…

In a previous study, Mix et al. (2016) reported that spatial skill and mathematics were composed of 2 highly correlated, domain-specific factors, with a few cross-domain loadings. The overall structure was consistent across grade (kindergarten, 3rd grade, 6th grade), but the cross-domain loadings varied with age. The present study sought to…

In a previous study, Mix et al. (2016) reported that spatial skill and mathematics were composed of 2 highly correlated, domain-specific factors, with a few cross-domain loadings. The overall structure was consistent across grade (kindergarten, 3rd grade, 6th grade), but the cross-domain loadings varied with age. The present study sought to…

This study investigated the modes of representations generated by kindergarteners and first graders while solving standard and problematic problems in mathematics. Furthermore, it examined the influence of pupils' visual representations on the breach of the didactical contract rules in problem solving. The sample of the study consisted of 38…

Three experiments investigated whether children in grades K, 2, and 4 (n = 144) view emotional comprehension as important in solving moral dilemmas. The experiments asked whether a human or an artificially intelligent machine would be best at solving different types of problems, ranging from moral and emotional to nonmoral and pragmatic. In…

Age-related changes in the use of verbal processes for the efficient switching between tasks were investigated in 5-year-old children (N = 32, M age = 5.9 years) and 9-year-old children (N = 32, M age = 9.4 years). Task switching was assessed by means of a cued switching paradigm to examine two switching components: (a) to maintain and select and…