Unlike children's early ability to navigate by continuous boundaries, their ability to extract geometric information from an array of objects emerges gradually over childhood. To investigate children's developing representation of object arrays for navigation and its relation to their mental representation of the global spatial layout,…

Misconceptions are one of the biggest obstacles in learning mathematics. This study aimed to investigate students' common errors and misunderstandings they cause when defining the angle and the triangle. In addition, we investigated the metacognition/ drawing/ writing/ intervention (MDWI) strategy to change students' understanding of the wrong…

This study aims to reveal fifth grade students' achievement levels in the angles sublearning area and to examine their errors in the subject of angles. The study was designed as a survey, and the study group included a total of 254 fifth grade students attending school in central Nevsehir and in Askale, Erzurum. Data were collected via the…

The calculation of the total surface area of prisms forms part of the Mathematics curriculum in South Africa. This paper explores Grade 8 students' errors when learning about the surface area of prisms. The study was guided by the interpretive paradigm and adopted a qualitative approach in a form of a case study design. Data from diagnostic test's…

Students' issues dealing with reflection tasks, especially with inclined mirror lines, are widely known. Previous research conducted with primary school students mainly focussed on task difficulty and students' outcomes, especially their errors of reflection. Little is known about which not obviously sustainable understanding of reflection leads…

The aim of this study is to obtain information about students' definitions, mistakes, misconceptions, and van Hiele geometry thinking levels by using the definitions of 4th grade students for geometric shapes of rectangle, square, isosceles triangle, equilateral triangle, and scalene triangle. The study was carried out with 156 primary school 4th…

The present study aims to examine high school mathematics teachers' content knowledge of the logical structure of proof in geometry. For this purpose, three scenarios were established based on errors in proof deriving from the figural-concept interactions. Based on these scenarios, clinical interviews were held with five mathematics teachers, who…

The More A-More B intuitive rule has become a research hotspot in the field of mathematical education in recent years. The intuitive rule of More A-More B is often reflected in students' responses to comparison tasks. In such tasks, students are asked to compare 2 objects that differ in a certain salient quantity A (where A[subscript 1] >…

In this study, preservice preschool teachers' pedagogical content knowledge about geometric shapes was examined in the context of children's mistakes. A total of 84 preservice teachers, who were studying in preschool teacher education program at a state university in Turkey, participated in this study. Of the preservice teachers, 34 were sophomore…

Background: Pre-service teachers (PSTs) training does not equip students with adequate skills and knowledge of geometry to enable them to teach this section of mathematics competently. Inadequate teacher knowledge of transformation geometry, in particular, requires intervention that targets PSTs' faulty reasoning displayed in errors they make.…

Many pre-service mathematics teachers in South Africa are apprehensive about the content of Euclidean geometry, because they did not study Euclidean geometry in high school but will be expected to teach the content when they start their teaching career. This article reports on a study that explored the role of semiotic representations in…

Due to the fact that the pandemic process did not occur in a predictable time frame, various difficulties have arisen in the field of education. This is also true in mathematics education, and concretization has been one of the biggest obstacles. This situation paved the way for concept learning errors that may occur in students. There are some…

In this study, the representations preferred by prospective teachers in the teaching of note values were determined and the accuracy of these representations was analyzed in the context of mathematics and music. The case study, one of the qualitative research designs, was used in the study. Study group of the research consisted of 113 pre-school…

This study aims to examine the developmental changes in young children's perception. A matching completion task consisting of three geometric figures and one bird-like figure were completed by children 3-5 years of age ("N" = 99). The rotation effect, in which the correct response decreased with orientation (45°, 90° 135°, and 180°), was…

The role geometry plays in real life makes it a core component of mathematics that students must understand and master. Conceptual knowledge of geometric concepts goes beyond the development of skills required to manipulate geometric shapes. This study is focused on errors students made when solving coordinate geometry problems in the final Grade…