This study used a modified mathematical knowledge for teaching (MKT) framework to compare the "common content knowledge" (CCK) of two groups of purposively selected pre-service primary mathematics teachers (n = 86) in relation to spatial visualization. Specifically, thirty-five pre-service teachers (n[subscript 1] = 35) with a pure…

The 21st-century mathematics classrooms should equip learners with well-grounded knowledge and thinking skills pertaining to geometry. However, Euclidean geometry remains one of the challenging, if not the most difficult topic for many learners. As a result, the purpose of this article is to interpret Grade 12 learners' learning difficulties in…

Student-generated drawings are known to be effective in building and revealing students' conceptions of chemistry. Some chemistry concepts, moreover, include changes and processes that cannot be merely represented by static drawings. Computer-based animations are needed to represent the dynamics. In this study, 25 chemistry student teachers, who…

A study of transition metals includes studying the physical and chemical properties of first-row d block metals in the Periodic Table. The curriculum on transition metals emphasizes learning the physical and chemical properties and is a lecture-based strategy that is predominately employed by teachers to transfer the knowledge on properties of the…

Discussions about immigration and refugee resettlement can be challenging to navigate. America's immigration system is highly complex, and confusion about who is allowed to enter the United States, and how, can lead to the spread of misinformation. It is also a highly salient topic that students are likely to encounter frequently in their daily…

Although numerous studies have investigated how technology affects academic achievement, very few have focused on the purpose of the use of technology in mathematics education. This current study examines how student teachers (STs) benefit from GeoGebra as one of the Dynamic Geometry Software (DGS) while solving continuity problems. In order to…

The literature shows that the integration of technological tools, like "GeoGebra," has the potential to improve the teaching and learning of mathematics. The aim of this study was to see whether "GeoGebra" could be used to address identified, systematic misconceptions that National Certificate Vocational (NCV) students hold…

Concrete manipulatives and dynamic geometry software (DGS) are both commonly used for geometry education in elementary and middle schools. This study sets out to understand which of the two approaches was better in improving the conceptual understanding of quadrilaterals for fifth graders. A pre-/post-test design was conducted in which the same…

Visualisation is an important part of the cognitive process in mathematics. Pedagogical-psychological theoretical frameworks concerning cognitive processes consider perception and visualisation as basic conditions for the creation of correct mental imagery. This study examined visualisation as a key factor in the development of geometric concepts…

The research assessed secondary school students' conceptions of acid-base strengths by using the conceptual change instruction accompanied with concept maps and analogies. These teaching strategies were employed to help them make unfamiliar events familiar. Within a quasi-experimental design, the sample of the study consisted of 73 secondary…

Misconceptions in geometry are an essential problem in the understanding of geometric terms by primary and pre-primary aged children. Present research shows some misconceptions in geometry demonstrated in the understanding of circles, squares, triangles and oblongs for children in the last year of kindergarten and pupils in the last year of…

In this article, John West explores student misconceptions relating to division. A range of activities that promote the understanding of divisibility rules are provided.

The purpose of this study was twofold: to investigate students' concept images about class, object, and their relationship and to help them enhance their learning of these notions with a visualization tool. Fifty-six second-year university students participated in the study. To investigate his/her concept images, the researcher developed a survey…

Visualizing the chemical structure and dynamics of particles has been challenging for many students; therefore, various visualizations and tools have been used in chemistry education. For science educators, it has been important to understand how students visualize and represent particular phenomena--i.e., their mental models-- to design more…

The teacher has very important roles in the classroom, particularly as manager of most resources for learning activities and in providing timely feedback that can enhance learning. But teachers need to be aware of students' achievements and weaknesses to decide how to time feedback. We present MTFeedback, a system that harnesses the new…