This study has aimed to determine 8th grade middle school students' skills and knowledge on irrational numbers. A total of ten 8th grade students from a public school in Polatli District of Ankara were participated. In the study, a basic qualitative research design was used, and data were collected by means of clinical interviews. Interview…

Algebra has long been identified as an area of difficulty in the teaching and learning of mathematics. Evidence of this difficulty can be found in Irish secondary-level classrooms. Chief Examiner Reports have consistently identified algebra as an area of student weakness in State examinations. In light of poor student performance, and as part of a…

To prepare physics students for future careers, educators need to understand the skills and other factors necessary for entry and success on the job. Often these insights are based on CEOs, HR personnel, and managers, who provide broad perspectives regarding successful attributes of new hires. However, such insights are often more general and…

In this paper, we explore the issue of gender and mathematics participation, focusing on the ways in which "clever girls" self-author within the discourse order of a high ability group, which has particular significance in the Norwegian context in which this study took place. Contrasting the cases of three girls, only one of whom (Anna)…

In this exploratory study we considered how one teacher's understanding of proportional reasoning related to his teaching. We used Epistemic Network Analysis to consider the teachers' knowledge organization and connections between knowledge resources as a way to make sense of his understanding. Then, we examined how his understanding was reflected…

Although an understanding of time is crucial in our society, curriculum documents have an undue emphasis on reading time and little emphasis on core underlying ideas. Given this context, a one-to-one assessment interview, based on a new framework, was developed and administered to investigate students' understanding of core ideas undergirding the…

The aim of this study was to examine the mistakes made by freshman students of science teaching during the process of proving and the reasons for these mistakes. To this aim, the study, which was conducted via the case study method, was performed with 52 freshman students who were studying at the department of science teaching in a state…

This research aims to describe students' critical thinking ability based on the level academic and gender. The populations of this study were 132 students participating in five classes of Calculus course. The research data obtained through technical tests and interview techniques. This study found that the high level of capability, both male…

Proving that a given set is indeed a subgroup, one needs to show that it is non-empty, and closed under operation and inverses. This study focuses on the first condition, analysing students' responses to this task. Results suggest that there are three distinct problematic responses: the total absence of proving this condition, the problematic…

Although women are underrepresented in the most mathematically intensive fields, the gender gap in these fields has narrowed over the past 2 decades. In my E. L. Thorndike address I summarized the temporal trends in sex differences for 8 fields and considered factors that drive both the underrepresentation of women and its recent narrowing. I…

This study examined pre-service primary school teachers' performance in posing problems that require knowledge of problem-solving strategies. Quantitative and qualitative methods were combined. The 120 participants were asked to pose a problem that could be solved by using the find-a-pattern a particular problem-solving strategy. After that,…

The prime objective of this research was to investigate whether the Montessori method of learning helped kindergarten pupils improve their mathematical proficiency, critical thinking and problem-solving skills, besides training them to be responsible learners. Quantitative, qualitative, and observational methods were employed in the investigation.…

Research that has explored students' interpretations of graphical representations has not extended to include how students apply understanding of particular statistical concepts related to one graphical representation to interpret different representations. This paper reports on the way in which students' understanding of covariation, evidenced…

Calculus is one of the primary avenues for initial quantitative training of students in all science, technology, engineering, and mathematics fields, but life science students have been found to underperform in the traditional calculus setting. As a result, and because of perceived lack of its contribution to the understanding of biology, calculus…

Language in mathematics learning and teaching has a significant role in influencing performance. Literature on language in mathematics learning has evolved from language as a barrier to language as a cultural tool, and recently more research has argued for use of home language as an instructional tool in mathematics classrooms. However, the…