The issue of the area of irregular shapes is absent from the modern mathematical textbooks in elementary education in Greece. However, there exists a collection of books written for educational purposes by famous Greek scholars dating from the eighteenth century, which propose certain techniques concerning the estimation of the area of such…

The Models and Modeling Perspectives (MMP) has evolved out of research that began 26 years ago. MMP researchers use Model Eliciting Activities (MEAs) to elicit students' mental models. In this study MMP was used as the conceptual framework to investigate the nature of students' models of curve fitting in a problem-solving environment consisting of…

A multiple-probe-across-problem-sets (tasks) design was used to evaluate the effects of the Detect, Practice, and Repair (DPR) on multiplication-fact fluency development in seven third-grade students nominated by their teacher as needing remediation. DPR is a multicomponent intervention and begins with a group-administered, metronome-paced…

This article draws on data from a three-year Australian Research Council-funded study that examined the ways in which young children become numerate in the twenty-first century. We were interested in the authentic problem-solving contexts that we believe are required to create meaningful learning. This being so, our basic tenet was that such…

This study addressed predictors of the development of word problem solving (WPS) across the intermediate grades. At beginning of 3rd grade, 4 cohorts of students (N = 261) were measured on computation, language, nonverbal reasoning skills, and attentive behavior and were assessed 4 times from beginning of 3rd through end of 5th grade on 2 measures…

Many schools have problem-solving teams that support teachers by helping identify and resolve students' academic and social problems. Although research is limited, it has been found that teams sometimes fail to implement problem-solving processes with fidelity, which may hinder the resolution of problems. We developed the Team-Initiated Problem…

Minds-on engagement in active learning is explored through the experiences of Margaret Sanders, a general music teacher. Minds-on learners think about their experiences. They are actively involved as questioners and problem solvers while they complete musical tasks and reflect on their work after it is completed. Minds-off learners focus on their…

This study examined preservice teachers' problem-solving skills through the use of an online video case study. Eighty preservice teachers participated in the study with a three-level video presentation by a two-grade-level between-subjects factorial design. The study incorporates a content analysis framework to examine both the components and the…

In this paper we explore the relationship between language and developmental processes of logical tools through the analysis at different levels of some "linguistic-manipulative" activities in a primary school classroom. We believe that this kind of activities can spur in the children a reflection and a change in their language…

Creativity is socially constructed and is not an objective fact at all. How do teachers perceive students' creativity and how can they foster students' creative learning? From two case studies, one in higher education and a second on iPad-classrooms in schools, the paper reflects on didactical concepts for creativity using mobile devices.…

This submission contains the Proceedings of the 2015 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Université de Moncton in Moncton, New Brunswick. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…

In this integrated inquiry, students in an elementary teaching methods class investigate a real-world problem outside the classroom. The students use the Cognitive Research Trust (CoRT) thinking strategy to find the causes of, impact of, and possible solutions to the problem. They present their findings and then discuss implementation of this…

Children build foundations for mathematical thinking in early play and exploration. During the preschool years, children enjoy exploring mathematical concepts--such as patterns, shape, spatial relationships, and measurement--leading them to spontaneously engage in mathematical thinking during play. Block play is one common example that engages…

For the forty-second time, the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the annual AECT Convention in Las Vegas, Nevada. The Proceedings of AECT's Convention are published in two volumes. Volume 1 contains 37 papers dealing…

The purpose of this study was to explore word problems as a subject matter in mathematics textbook curricula. The motivation for the study derived from the following evidence: (a) American students find some word problems are more difficult than others (Garcia, Jimenez, & Hess, 2006; Riley & Green, 1988; Stern, 2001), and (b) one of the…