This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and…

Curriculum reform brings new approaches to classroom practice. As changes to the curriculum are implemented, teachers need to receive additional support from textbooks and other materials. In the study presented in this paper, we explored the use of resources during the process of educational reform in Croatia. The focus was on the use of a…

An appeal to the personalistic component of the history of mathematics, stories about scientists who have contributed to its development, contribute to the implementation of the educational aspect in the teaching of mathematics. A question arises: how can a mathematics teacher shape the moral qualities of a child, including patriotic and…

While research suggests that mathematical modeling is accessible to elementary grade students, questions remain about how to assess modeling competency. Our research addresses this need through the systemic design and empirical testing of a Mathematical Modeling Student Assessment (MMSA) for elementary grades 3 through 5. Research questions focus…

For a long time, Soviet students learned 'pure' mathematics in their mathematics classrooms, while applications of mathematics were introduced in their science (mainly physics) classrooms. This approach was a part of a uniform and rigid national curriculum. Even when in the 1990s the world was moving towards including applications in school…

This paper is devoted to changes in the way in which mathematical assessment is conducted in Russia and Ukraine, the two largest states formed after the collapse of the Soviet Union. Previously, in the USSR, there existed two parallel systems of examinations, as follows: "exit exams," which were taken by schoolchildren graduating from…

This quasi-experimental study sought to investigate the effects of the motivational adaptive instruction on Malaysian students' motivation towards mathematics in a technology-enhanced learning classroom. Geometer's Sketchpad is used in the study to foster a technology-enhanced learning environment. The motivationally adaptive instructions were…

Sources of mathematics self-efficacy (SMS), which foster the development of self-efficacy belief, can develop differently in students with different cognitive characteristics. The objective of this study was to compare SMS of gifted and non-gifted students after controlling for mathematics achievement. Participants of the study consisted of 106…

Proof generally has a bad reputation among students, especially at the high school level. In fact, when the first author initially mentioned to her students that she would like to interview them about proof, many reacted with fear. Further, classroom experiences and existing research (Stylianou, Blanton, and Rotou 2015) suggest that undergraduate…

Research on educational borrowing has been largely concerned with debates on the complexity of transferring educational models and approaches from one culture to another. This study aims to understand the issues involved in the adoption of a Dutch approach to mathematics instruction, Realistic Mathematics Education (RME), in Indonesian culture.…

In this paper, we make a case for the importance of teaching secondary school level algebra to students with learning disabilities (LD). Furthermore, we illustrate how they struggle and present best-practices on how they are best supported. We demonstrate effective ways of how teachers can show students with LD how to solve challenging algebra…

Use of video as a representation of practice in teacher education is commonplace. The current study explored the use of a new format (360 video) in the context of preservice teachers' professional noticing. Findings suggest that preservice teachers viewing 360 videos attended to more student actions than their peers viewing standard video. In…

Many students do not have a deep understanding of slope. This paper defines what a deep understanding of slope is in terms of mathematics-education theory. The various factors which help explain why such a deep understanding is difficult to acquire are then discussed. These factors include the following: the different representations for slope;…

Even though there are many quasi-experimental research in recent literature, there is still no consensus on whether an increase in school funding improves student achievement. Leveraging a natural experiment in South Korea, this study exploits the discontinuity in school funding rules to identify the impact of increased funding on the test scores…

The purpose of this study was to explore the critical life-events of the first author's journey of learning and teaching mathematics that prompted critical thinking about his past experiences as a student and teacher. It portrays a paradigmatic shift from a traditionalist thinker to a constructivist actor in the classroom from the critical…