This research is motivated by the fact in the field that the fourth-grade students' mathematics learning outcomes are still low in Public Elementery School 16 Bengkulu City. This is presumably, the lack of application of demonstration methods and student activeness towards student learning outcomes. On this basis, this study is focused on…

The authors described the influence of the GeoGebra based environment on students' achievements in the field of functions with parameters, during collaborative learning. Functions with parameters are important because of their application in science. Students had to choose different values for parameters and to examine the properties of the…

Education reforms in the United States and abroad have increased efforts to improve student interest and capacity in STEM (science, technology, engineering, and mathematics). Despite these attempts, students still have little opportunity to engage in STEM learning in K-12 education. This qualitative case study was designed to investigate how…

Promoting reasoning is the goal of mathematics education. While reasoning behaviours can be observed, how to characterise them and nurture their growth remains ambiguous. In this article, we report our effort in drafting a learning progression and geometric thinking model and using them to investigate Australian students' geometric reasoning…

Effective teachers have knowledge not only of the subject they are teaching, but also of how to teach it appropriately. To develop these aspects of knowledge, faculties of education include a number of courses that address the related skills. From the perspective of mathematics teacher education, courses related to mathematics teaching have come…

Cognitive difficulty arises from two types of cognitive processes: treatments; within the same, conversions; between different types of representational registers. Conversions are difficult since they ask for understanding of two representations. Direction and the choice of first register could be a threshold for the student. Wasan geometry is…

Ethnomathematics can empirically improve the cognitive abilities of students in elementary and secondary schools. However, in undergraduate study, there are still limited studies on integrating ethnomathematics in learning resources. This study aims to apply interpolation in modelling polynomial functions and integral volume on the shape of…

The aim of this study was to investigate the relationship between grade seven students' attitude towards Mathematics and their achievement in Mathematics. Even though Mathematics is featured as a core and mandatory subject in schools of Bhutan, it has little impact on students, as they consistently show poor achievement in Mathematics. The…

Video can be a powerful tool, with a long history of use in teacher education. Despite the increased popularity of using video in teacher education over the years, questions remain about effective ways to create and use video in online video-based instructional modules. Given this, in this paper we describe some lessons learned creating videos for…

This study examined students' ability to learn mathematics in a self-directed teaching environment. One of the main goals of the educational system is to nurture independent learners who can grow up to be inquisitive, critical, creative, and capable of piloting their own learning. This implies making a change in the way the role of the mathematics…

In a recent empirical article published in "Cognition" (Johnson, Burgoyne, Mix, Young, and Levine [2022]. "Cognition," 218, 104918), we examined the relationships between spatial and mathematics skills in a cross-sectional sample of 1,592 children that included kindergarteners, third graders, and sixth graders. We tested…

In this article, Merrilyn Goos looks at beliefs about the nature of mathematics and perceptions of mathematics teachers in examining "why teachers matter." It is difficult for researchers to specify exactly how different types of teaching and teacher qualities affect student achievement because this would require untangling the…

This article shows how the exciting new field of Machine Learning can be effectively introduced in a standard calculus sequence, once the students have been introduced to functions of several variables. This is an opportunity to engage students in a discussion of an application of calculus to an emerging field that the students encounter in their…

This paper reports on a project that sought to enhance problem-solving practices within a cluster of primary schools. In-service teachers' description of their approach to problem-solving suggested it was treated as an isolated practice that occurred after concepts had been taught; often focusing on teaching particular problem-solving strategies…

This study investigated the relative importance of three subdomains of early number competence (number, number relations, and number operations) in predicting later mathematics achievement in cross-sequential samples of pre-K, kindergarten (K), and first graders (N=150 at each grade). OLS-regression analyses showed that each subdomain predicted…