Specific acts of problem solving with rates and ratios were interpreted using a journey metaphor derived from Skemp's (1979) construct of director systems. To successfully undertake a problem solving journey a learner must recognise their starting place (present state), have a sense of destination (goal state), and co-ordinate sub-routes along the…

The purpose of this study is to enhance our understanding of how students listen and attend to multiple solutions proposed by their classmates during the activity of comparison. This study examines ten consecutive lessons in each of the two eighth-grade classrooms in Tokyo that are organized in the style of "structured problem solving".…

Inquiry-based learning (IBL) is a more student-centered approach to mathematics teaching that is recommended by many policy and curriculum documents across Europe. However, it is not easy for teachers to change from a more teacher-centered way of teaching to inquiry-based teaching as this involves a change of their role in class. Professional…

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…

To complete any academic tasks using information from the Internet, undergraduate students first have to select the appropriate sources. However, the types of justifications that undergraduates provide for source selection and how these justifications may be impacted by task characteristics have been underexamined. This study explored…

Purpose: Although the relationship between leadership behaviors and team reflexivity has been investigated in prior research, little is known about the dimensions of reflective leadership or leadership behaviors that facilitate reflection in a group or organization. This paper aims to examine the interrelated characteristics of reflective…

Although social difficulties have been identified as sequelae of children's experiences with interparental conflict and insecurity, little is known about the specific mechanisms underlying their vulnerability to social problems. Guided by emotional security theory, this study tested the hypothesis that children's emotional insecurity mediates…

The authors investigated the differences in using problem decomposition and problem recomposition between dyads of engineering experts, engineering seniors, and engineering freshmen. Participants worked in dyads to complete an engineering design challenge within 1 hour. The entire design process was video and audio recorded. After the design…

Recently, over 40 states in the United States adopted the Common Core State Standards for Mathematics (CCSSM) which include standards for content and eight standards for mathematical practices. The purpose of this study was to better understand the nature of young children's mathematical practices through an exploratory examination of the…

This comparative case study describes the literacy practices of two groups of adolescents as they sought to solve authentic problems through engineering design processes. Three types of data were collected as the groups addressed these problems: video- and audio-recordings of their conversations; adolescent-generated products; and pre- and…

This study explores (1) how parental and teacher scaffolding and children's coping strategies contribute to children's adjustment during the transition from preschool to school; and (2) how children's perception of stress and coping are constructed over time. The sample included 216 six-year-old children, their parents and teachers. The parents,…

To better understand the role that ways of reasoning play in students' success on integer addition and subtraction problems, we examined the relationship between students' flexible use of ways of reasoning and their performance on integers open number sentences. Within groups of students in 3 participant groups--39 2nd and 4th graders who had…

Researchers believe that the way that students talk, specifically the language that they use, can offer a window into their reasoning processes. Yet the connection between what students are saying and what they are actually thinking can be ambiguous. We present the results of an exploratory interview study with 10 participants, designed to…

This content analysis examines the topics, trends, and issues impacting developmental education and its professionals as evaluated by interviews that have appeared in the "Journal of Developmental Education" ("JDE") between the issuance of Volume 1 through Volume 39. A total of 76 interviews were analyzed with attention to…

Continuity is a central concept in calculus. Yet very few students seem to understand the nature of continuity. The research described was conducted in two stages. Students were asked questions in multiple choice and true/false format regarding function, limit and continuity. These results were used to identify participants as strong, weak or…