The research aimed to measure the effect of educators' teaching effectiveness focusing on content knowledge (CK) and pedagogical content knowledge (PCK) as key determinants. A descriptive survey design was utilised for the study and the participating educators were selected through a simple random sampling method. Four research questions were…

The current study highlights the importance of inhibitory ability in facilitating performance in mathematics. To understand the role of inhibition in mathematical knowledge, this study tested 102 college students on a series of standardized complex math exercises. Inhibition tasks varied by task and stimuli (letters, numbers, and arrows). The…

This study examined how metacognitive knowledge and locus of control are associated with understanding mathematical jokes in students with and without learning disabilities. This study looked at a sample of 60 ninth-grade students of which 30 had a learning disability diagnosis and 30 had no learning disabilities. Students were tested using three…

This study attempts to identify preschool teachers' pedagogical content knowledge levels in mathematics and to examine its effect on preschool children's mathematics ability and their liking of mathematics. The study utilised the relational survey model, one of the general survey models. The working group was composed of 600 children aged 54-66…

We examine the relationship between how teachers talk about teaching and their actual teaching practices. Analyses of their talk were based on extensive transcripts and writings and focused on metaphors and images invoked when discussing knowledge, learning, and teaching. Three distinct and coherent webs of association were identified, which we…

The purpose of this paper is to describe some contingent moments during an in-service primary teacher's lesson on area, to analyse the teacher's responses, and to examine the relationship between the teacher's mathematical knowledge in teaching and her responses to these contingent moments. The teacher, in a public primary school located in…

The success of professional development programs has typically been determined based on their impact on teacher learning, without much attention being given to the data sources used. Large-scale studies have generally relied on teachers' self-reports, whereas small-scale studies have included more direct assessments and observations of teacher…

In our investigation of university students' knowledge about real numbers in relation to computer algebra systems (CAS) and how it could be developed in view of their future activity as teachers, we used a computer algorithm as a case to explore the relationship between CAS and the knowledge of real numbers as decimal representations. Our work was…

We investigated whether the mathematics studied in 2 content courses of an elementary teacher preparation program was retained and used by graduates when completing tasks measuring knowledge for teaching mathematics. Using a longitudinal design, we followed 2 cohorts of prospective teachers for 3 to 4 years after graduation. We assessed…

In this article we present an overview of four studies investigating Greek secondary students' conceptual and procedural knowledge of fractions. We discuss the problem of defining conceptual and procedural knowledge, and the implications of adopting one particular definition over others. We draw on the studies and their results to discuss the…

Personalized education systems recommend learning contents to students based on their capacity to accelerate their learning. This paper proposes a personalized exercise recommendation system for online self-directed learning. We first improve the performance of knowledge tracing models. Existing deep knowledge tracing models, such as Dynamic…

In this study, we investigate students' ways of understanding graphing tasks involving quantitative relationships in which time functions as an implicit variable. Through task-based interviews of students ages 14-16 in a summer mathematics program, we observe a variety of ways of understanding, including thematic or visual association, pointwise…

The purpose of this study was two-fold. First, feedback from 3 different groups of observers: math content specialists, content specialists in areas other than mathematics, and building principals, was analyzed using an inductive approach to identify themes within the feedback. Second, differences in the feedback offered by participants of the 3…

To increase opportunities for students to take more advanced math courses in high school, many school districts enroll grade 8 students in Algebra I, a gateway course for advanced math. But students who take Algebra I in grade 8 and skip other math courses, such as grade 8 general math, might miss opportunities to develop the foundational…

Addressing thousands of students entering unprepared to enroll in college freshman mathematics courses is a challenge two-year college mathematics faculty face every semester. The study addresses this challenge through a mixed methods sequential nested multi-case design to investigate what faculty need, beyond teacher knowledge, to teach…