Today's learner population is diverse and replete with situational, personal, emotional, and learning challenges that inevitably find their way into the mathematics classroom. This paper draws from a project intended to investigate issues of classroom practice in mathematics used, extrapolate, or improve on them for the better development of…

Thermodynamic processes are often presented in so called P-V diagrams and the processes are often isobaric, isochoric, isothermal, and adiabatic. The purpose of the qualitative research reported here was to explore students' reasoning and interpretation of P-V diagrams that were presented by the help of GeoGebra. The research group had 15 students…

We report a characterization of the reflections made by high school mathematics teachers when discussing their resolutions of three numerical tasks related to the concept of function understood as a mathematical procept. Thematic analysis was used to code and categorize the reflections. Six teachers with at least 5 years of professional experience…

Using the tools of praxeological analysis and didactical transposition analysis, the treatments of the Fundamental Theorem of Calculus in one Norwegian, Grade 13 textbook is analysed, with a particular focus on the development of the logos block of the FTC. The terms structure, functioning and utility, first introduced by Chevallard in 2022, is…

In some European countries inquiry-based learning (IBL) has become popular in primary and secondary mathematics education, especially for scienceconnected content. On the other hand, problem-based learning (PBL) and project-based learning (PjBL) have a longer history in mathematics, science, technology, engineering (STEM) and in some other fields…

Our aim is to contribute to the body of research on learning trajectories (LTs) in mathematics by making visible a process for articulating a hypothetical learning trajectory implicit in a widely adopted, reform-based, middle-grades mathematics curriculum. In doing so, we highlight considerations, decisions, and challenges we faced as part of this…

This study was conducted to examine whether newly enrolled 9th grade students were ready to directly engage in the theoretical discursive process from the perspective of Duval's Cognitive Model. The sample of the study was comprised of 51 newly enrolled 9th grade students between the ages of 14 and 15, who had not received any prior geometry…

There are concerns that current remote learning efforts in response to COVID19 may not be measuring up to the quality of classroom-based instruction. This study investigated two high school teachers' perceptions of the issues surrounding teaching mathematics remotely and factors that contributed to their use of technology while teaching online.…

Mathematical geometrical (MG) concept is often perceived as abstract and difficult to understand by students at the TVET College. Students are unable to perform well in Mathematic Assessments Tasks specifically on this concept. Drawing from this is the declining percentages of student enrolments in mathematics at National Qualification Framework…

This study explores how hard of hearing students decided whether the shape was a polygon and which semiotic sources were used when the students engaged in explaining geometrical concepts. It was defined how the students interacted with geometric shapes using semiotic sources and examined how such multimodal interactions with geometric figures…

The enrollment in lower-level mathematics courses has been on the increase in the last decade. It has been estimated that the DFW rate may rise to the level of 50% in courses that can be classified as college algebra. Numerous interventions have been utilized for college algebra and other mathematics classes to help students, including…

In this study, Turkish and Singaporean textbooks were compared in terms of teaching content for multiplying fractions, a subject that most students have difficulty in understanding. The study analyzed the 6th-grade mathematics textbook published by the Turkish Ministry of National Education and its Singaporean counterpart. While the Singaporean…

The aim of the present study is to determine the elementary pre-service mathematics teachers' understanding on solids. For this purpose, pre-service teachers' definitions and drawings of these objects were examined. Qualitative research method was used. A written questionnaire consisting of sixteen open-ended and multiple-choice questions was…

This paper is a part of a broader study which aims to investigate mathematics teacher candidates' mathematical knowledge for teaching (MKT) by using the Turkish translated versions of TEDS-M (Teacher Education and Development Study in Mathematics) Primary and Secondary Released Items. The sample of the study comprised freshman (first year) and…

We know that teachers' identities and their ideological assumptions of teaching and learning mathematics are critical in influencing their teaching and thinking about classroom practices. To better understand prospective mathematics teachers' identity during teacher education, this study investigates how two participants negotiate their identity…