This paper discusses the relevance of using physical situations to introduce the concept of angles at elementary school. We compare the effectiveness of two geometry teaching sequences. In the first one (physical sequence), the pupils learned the angle concept by experimenting on the playground (i.e. mesospace) and then modelling the situation. In…

Angle measurement is a significant topic in almost all areas of mathematics learning and also in many disciplines outside mathematics education, such as engineering and architecture. According to the literature, there are three common conceptions of angles--as union of rays, rotations, and wedges. Researchers argued that students must consider…

Digital curricula can constrain teachers with ready-made instructional materials. The authors used Mathematics Teaching Practices (MTPs) to modify a digital curriculum to engage students in more thoughtful and meaningful lessons. In this article, the authors visit one of their third-grade classrooms, in which they used the prescriptive digital…

Scratch is a tool for initial learning of programming, but also for creating educational and entertainment content, making mathematical and scientific projects, simulating and visualizing experiments. This paper examines the effectiveness of Scratch's application in mathematics, in the study of basic geometric shapes. The analysis has shown that…

Members of a third-grade class were involved in a heated discussion. They were using a fixed number of links to create fences for toy cows. The children could change the shape of the field produced by the links, but they could not add any links or take any away. Understanding the relationship between perimeter and area is a difficult concept for…

We examine the effects of 3 interventions designed to support Grades 2-5 children's growth in measuring rectangular regions in different ways. We employed the microgenetic method to observe and describe conceptual transitions and investigate how they may have been prompted by the interventions. We compared the interventions with respect to…

The purpose of this study is to determine the effects of dynamic geometry software Geometer's Sketchpad (GSP) on students' achievement in symmetry of two dimensional shapes. A total of 36 mixed ability Year 3 pupils from a primary school in a rural area of Kedah participated in the study. They were divided into two groups: the experimental group…

In this study, we explore how cross-linguistic differences can contribute to children's scientific thinking. We compared first and third grade Chinese students' pre-instructional ideas of the earth expressed in clinical interviews with that of their English-speaking and Greek-speaking counterparts (as recorded in the literature). Inspired by a…

This paper illustrates how young children (ages 7-8, grade 2/3) can use the potential of dynamic geometry environments to develop an understanding of, and reasoning about, the properties and behaviours of different triangles (scalene, isosceles, equilateral). It provides a detailed description of a geometry unit, during which children worked both…

This case study describes and investigates the instructional practices of Grades 1 to 5 teachers and the levels of geometry thinking of the learners, according to the Van Hiele model, with a view to determining whether there is a match between the instructional practice and the learners' level of thinking. The instructional practices of the…

Previous studies have provided that when learning shapes for the first time, young children tend to use the prototype as the reference point for comparisons, but often fail when doing so since they do not yet think about the defining attributes or the geometric properties of the shapes. Most of the time, elementary students learn geometric…

This article provides an example of a collaborative effort between a dance specialist and four third-grade classroom teachers at an arts magnet school. They developed a dance and geometry integration project including implementation strategies, assessment tools, and reflections completed by both the classroom teacher and the third-grade students.…

The action research team developed a "Personal Math Concept Chart". This chart required students to describe the mathematical concepts that they were studying in the Geometry strand of Mathematics using their own images and words. In this study, students were encouraged to express their own understanding of geometric concepts in order to…

The problem investigated in this research study relates to the referral rate for special education evaluations between students of teachers who were exposed to the professional development and resources associated with the federally funded Reading First program and students of teachers who were not exposed to the program. The purpose of this study…

This paper discusses insights for using geometry sketching software to teach geometric concepts for kindergarten to grade 4. The authors created hands-on resources that incorporate technology in a user-friendly environment. When working with "Geometer's Sketchpad" with middle and high school students, the teacher educators noticed the…