Little to no information exists explaining the nature of conceptual gaps in understanding fractions for students with learning disabilities (LD); such information is vital to practitioners seeking to develop instruction or interventions. Many researchers argue such knowledge can be revealed through student's problem-solving strategies. Despite…

We identify and document 3 cognitive obstacles, 3 cognitive affordances, and 1 type of integer understanding that can function as either an obstacle or affordance for learners while they extend their numeric domains from whole numbers to include negative integers. In particular, we highlight 2 key subsets of integer reasoning: understanding or…

Two investigations of fifth graders' strategies for locating whole numbers on number lines revealed patterns in students' coordination of numeric and linear units. In Study 1, we investigated the effects of context on students' placements of three numbers on an open number line. For one group ("n"?=?24), the line was presented in a…

Linear algebra is one of the most challenging topics to learn and teach in many countries. To facilitate the teaching and learning of linear algebra, priority should be given to epistemologically analyze the concepts that the undergraduate students have difficulty in conceptualizing and to define their ways of reasoning in linear algebra. After…

The concept of measurement is fundamental in science. In order to be meaningful, the value of a measurement must be given with a certain level of uncertainty. In this paper we try to identify and develop the reasoning of young French pupils about measurement variability. In France, official instructions for elementary school thus argue for having…

This study examined physiological and coping responses to peer-evaluative challenges in early adolescence as predictors of academic outcomes. The sample included 123 young adolescents (X-bar[subscript age]) = 12.03 years) who participated in the summer before (T1) and the spring after (T2) the transition to middle school. At T1, respiratory sinus…

Studies of children's knowledge of the Earth have led to very different conclusions: some appear to show that children construct their own, non-scientific "theories" (mental models) of the flat, hollow or dual Earth. Others indicate that many young children have some understanding of the spherical (scientific) Earth, and that their…

Digital literacies have fast become indispensable for productive engagement, competency, and citizenship in a rapidly changing world. After-school programs represent an important venue where many young people can develop a mastery of digital literacies, encompassing both the creative and responsible use of a broad range of new media. This paper…

The purpose of this study is to examine children's cognition within the creative process in dance and to examine how dance making affects cognitive development in children. Data on children's thinking were gathered from fifth graders participating in an artist-in-residence program in a public school in Pennsylvania. Both the inquiry and the data…

Two studies examined shared and unique relations of social information processing (SIP) to youth's anxious and depressive symptoms. Whether SIP added unique variance over and above trait affect in predicting internalizing symptoms was also examined. In Study 1, 215 youth (ages 8-13) completed symptom measures of anxiety and depression and a…

This study presents a mobile exploration activity that guides elementary students to learn during a social science activity with digital support from mobile devices and wireless communications. The students are situated in both the real world and the virtual world to extend their learning experiences. The learning activities between the field and…

The main purpose of this study is to determine the strategies of using the generalizing patterns of the primary fifth grade students. The practice of this research is conducted on twelve students, which have high, middle and low success levels. Task-based interviews and students journals are used as the tools for data collection. For the analysis…

The present study investigated the role of theory of mind (ToM) skills in three forms of involvement in bullying: ringleader bullying, defending the victim(s), and victimization. Individual (affective empathy) and interpersonal variables (social preference and perceived popularity) were assumed to moderate the associations between ToM and the ways…

The purpose of this technical report is to describe a research study exploring students' cognitive processing while solving problems related to division of fractions. Four students were interviewed using verbal protocol techniques with the intention of better understanding their cognitive processing when dividing fractions. Information gained from…

Although equal sharing problems appear to support the development of fractions as multiplicative structures, very little work has examined how children's informal solutions reflect this possibility. The primary goal of this study was to analyze children's coordination of two quantities (number of people sharing and number of things being shared)…