The aim of this study was to investigate the effects of modelling, collaborative and game-based learning on geometry success in third-grade students. These approaches were applied to geometry instruction in nature on the success of students in geometry. The students' views about geometry activities were also examined. Explanatory design, one of…

Inventing is fundamental to mathematical activity, should one be a professional mathematician or a primary school student. Research on mathematical creativity generally is organized along three axes according to its focus on the final product, the overall process, or the individual person. Through these conceptualizations, however, research rarely…

Elementary students' difficulties with angles in geometry are well documented, but we know little about how they conceptualize angles while solving problems and how their thinking changes over time. In this study, we examined 26 third and fourth grade students completing a body-based angle task supported by the Kinect for Windows. We used…

Mathematics educators have shown increasing interest in theorizing knowing and learning as something alive or as something that comes alive through the involvement of the body. Almost all current efforts attempt doing so by focusing on the body in which the otherwise invisible living being exhibits itself, thereby failing to consider everything…

Many elementary schools across the nation are scaling back or cutting arts curriculum altogether. This article presents classroom teachers with an activity for integrating art with mathematics. Through a three-phase exploration of reasoning with shapes and their attributes, students will get to know a classmate better, work with defining and…

Geometry is the branch of mathematics that addresses spatial sense and geometric reasoning. Students begin to understand geometry through direct interaction with their physical world. Because it is the study of the physical attributes of the environment, geometry has relevance for every student; the world becomes a big classroom. As students see,…

To what extent can instructional design be based on principles for instilling a culture of problem solving and conceptual learning? This is the main focus of the study described in this paper, in which third grade students participated in a one-year course designed to foster problem solving and mathematical reasoning. The design relied on five…

This paper examines how mathematical understandings might emerge through student-centred inquiry. Data is drawn from a research project on student-centred curriculum integration (CI) that situated mathematics within authentic problem-solving contexts and involved students in collaboratively constructed curriculum. Participatory action research…

This exploratory study compared a computer-based mathematics education intervention with two more traditional approaches with the purpose of improving instruction in perimeter and area. Kidspiration software, tile/stick manipulatives and pencil/paper-based copying/drawing of shapes were implemented in a 3rd Grade New York City public school…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…

Rhymes are often useful teaching devices for small children, and can even become a creative resource for teaching mathematics. The students and their teachers can change many of them to better fit their environment and/or extend the rhyme so that higher numbers are involved. A number of rhymes and folk tales lend themselves to more detailed…