Contribution: Determine and analyze the gap between software practitioners' education outlined in the 2014 IEEE/ACM software engineering education knowledge (SEEK) and industrial needs pointed by Wikipedia articles referenced in Stack Overflow (SO) posts. Background: Previous work has uncovered deficiencies in the coverage of computer…

Do young children understand the complex mathematics in the petals of a daisy, the Fibonacci sequence in the spiral of a pinecone, the fractal geometry in the leaves of a fern, or the "golden ratio" in the seed pattern of a sunflower? Probably not, but they certainly can observe and recognize the patterns and compare them to similar…

This study examines how preservice elementary mathematics teachers create patterns, write pattern problems, and prepare and apply lesson plans on this topic. In this context, five preservice elementary mathematics teachers who were in the final semester of their undergraduate education volunteered to participate in this research. The study was…

Understanding of the equal sign is associated with early algebraic competence in the elementary grades and equation-solving success in middle school. Thus, it is important to find ways to build foundational understanding of the equal sign as a relational symbol. Past work promoted a conception of the equal sign as meaning "the same as".…

Given the significance of functional thinking as one of the main routes to foster early algebraic thinking, in this paper we describe how a current elementary mathematics textbook's unit titled "Pattern and Correspondence" was developed in the Korean context. The following four key instructional elements for fostering functional thinking…

The systematic design and analysis of tasks which can be implemented in first-year university courses and point to advanced inner- and extra-mathematically rich issues and their rationales is an open problem in the didactics of mathematics in higher education. Potentials of such tasks can be seen with regard to learning processes in the first year…

In this work, we present an experimental approximation to the study of the phenomenon of radioactivity in secondary schools, taking as an analogy the process of release of carbon dioxide in a carbonated beverage. In this way, we intend to facilitate the approach to the mathematical formalism and to the graphical description of this phenomenon, as…

The purpose of this study is to investigate how designers of commercial educational mathematics game apps describe various aspects of "integration". My investigation addresses several research questions, including what integration means to designers, why they build it into games, and how they do so. Integration is a concept described in…

This dissertation reports on three studies about students' conceptions and learning of the idea of instantaneous rate of change. The first study investigated 25 students' conceptions of the idea of instantaneous rate of change. The second study proposes a hypothetical learning trajectory, based on the literature and results from the first study,…

This conceptual paper discusses two frameworks, developed independently by the lead author, that will provide the conceptual foundation for the identification and evaluation of mental computation strategies students demonstrate during an upcoming research project entitled Mental Computation in Year 5. These frameworks will be used by the lead…

This paper presents the importance of the visual expression of factor decomposition in regression analysis, which is particularly worthwhile for undergraduate students whose majors are not mathematics but social science. The conventional purpose of regression analysis is to examine specific hypotheses empirically. In particular, the statistical…

Previous research has shown that students form fragmented understandings about variability even after instruction and that these primitive notions function as obstacles to a robust understanding of variability. To investigate the effect of disruptions to students' primitive notions of variability, we examined undergraduate students' reasoning…

Understanding rational numbers is critical for secondary mathematics achievement. However, students with mathematics difficulties (MD) struggle with rational number topics, including fractions, decimals, and percentages. The purpose of this systematic review was to describe the instructional foci of rational number interventions, determine the…

This study was aimed at exploring the key factors affecting postgraduate students-teachers' translation of a theoretical framework from English into their native language. The research was carried out with 21 Turkish postgraduate students who were also mathematics teachers, based on the theoretical framework of the documentational approach to…

In mathematics education, researchers often contrast conceptual and procedural teaching approaches, although labels and conceptualizations often vary across studies. Prior research has extensively examined empirical relationships between the two teaching approaches and mathematics achievement. In our study, we aimed to extend this research by…