Many incoming college freshmen who do not meet minimum standardized exam cut-score requirements are often determined to be not ready for college level coursework and registered for pre-requisite, multi-semester, remedial course sequences. The goal of pre-requisite courses is to prepare students for college-level courses prior to enrollment in…

We present a so-called 'study and research path', designed for advanced high school teaching in the context of a master's thesis project, along with an outline of the mathematical and didactic background. The aim of the paper is to present and discuss an adaptation of Chevallard's 'paradigm of questioning the world' to currently prevailing…

Research shows that though some students can easily find the correct solutions to the problem(s) at hand, the algorithms that these students create are not always ones that would, when implemented, produce the correct solution(s). Towards shedding light on this phenomenon, the present study explicates a mechanism--accounting for features of the…

The teaching of fractions is often identified as the point in primary school instruction when the "wheels tend to fall off". While there could be many reasons for this, the overuse of one 'preferred' resource at the expense of a range of representations will often create gaps in understanding at best, and misconceptions at its worst. In…

Getting the right answers in maths is only half the problem. Understanding why what you're doing works is the part that often stumps students and teachers alike. The essential guide for mathematics teachers and those training to teach, "Yes, but Why?" answers all your questions, and sheds light on the hidden connections between…

Providing instruction in a student's home language through bilingual education has proven to be academically beneficial for multilingual learners (MLLs). The present study contributes to this literature by examining the possibilities and limits of a professional development program (Mathematics and Language Literacy Integration [MALLI] in Dual…

The study aims to investigate how confidence in mathematics/science, amount of books in the home, gender, whether a student likes being in school, and computer software predicted mathematics and science achievements of students in the Trends in International Mathematics and Science Study (TIMSS) 2019. The sample of the study consisted of…

This study aims to identify the harmful values experienced by secondary school mathematics teachers in classrooms with gifted students. The participants in the study, which was designed as an interpretative phenomenological design, were two secondary school mathematics teachers. The participants selected using purposive sampling had teaching…

We report on the differences in mathematics learning environments in classes taught by certified Elementary Math Specialists (EMSs) (n = 28) and their peers (n = 33) as determined by observations of instruction. We used path analysis to examine how variables such as mathematical knowledge for teaching, beliefs, and background characteristics were…

Teacher-student interactions (TSIs) are crucial in shaping student learning attitudes and outcomes. Current literature primarily focuses on within-subject TSI effects, neglecting potential cross-subject TSI effects and related gender disparities. Using data from Chinese adolescents and extending the dimensional comparison theory, this study…

This paper examines and builds on an earlier contribution to this journal focusing on private supplementary tutoring -- widely known as shadow education -- in Francophone West and Central Africa. Drawing on wider literature about research methods in this domain, it examines the basis for the numerical estimates presented in the original article…

When analyzing large-scale assessments (LSAs) that use complex sampling designs, it is important to account for probability sampling using weights. However, the use of these weights in multilevel models has been widely debated, particularly regarding their application at different levels of the model. Yet, no consensus has been reached on the best…

Background: Disembedding is a crucial spatial thinking skill in visual arts and mathematics education. It is important in creating and analyzing artworks by separating a figure from its background, as well as for solving geometric problems where shapes must be viewed from new perspectives. Drawing upon research in psychology, arts, and mathematics…

This paper reports on teachers developing their own data literacy and then acting as data coaches for colleagues in their schools. The 13 teachers from 7 schools in the study analysed standardised data using a data conversation protocol to identify students with significant mathematical misconceptions. They then took data-informed action with…

College calculus plays an important role in STEM students' degree and career aspirations. One of the key factors considered in assessing a student's ability to be successful in calculus is their proficiency in topics from prior mathematics courses such as algebra and precalculus. This study set out to examine the impact of students' precalculus…