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…

This study aimed to construct a path model on the factors influencing the mathematics achievement of Senior High School students. In particular, this study focuses on five subject components: Junior High School (JHS) math experience, JHS grade point average, attitudes toward mathematics, self-efficacy, and anxiety. The causal relationships and…

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.…

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…

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…

There is an ongoing need to support students' learning of linear functions, and the study of slope makes up a foundational component of this learning. We applied techniques from systemic functional linguistics to document the meanings that were established through spoken interaction between a student and her tutors during discussions of slope. We…

Mathematics course in vocational high school education is significant worldwide to equip vocational students with the technical and personal skills that are required for the effective workforce as discussed in the context of Science, Technology, Engineering and Mathematics (STEM) education. The present research sets out to investigate Turkish…

Microteaching provides a valuable setting for preservice teachers to practice teaching prior to real classroom teaching experiences, as well as allowing teacher educators to observe the strengths and weaknesses of the preservice teachers' pedagogical content knowledge. Therefore, we studied the preservice mathematics teachers' microteachings, with…

This article addresses the didactical effects of CAS assisted proofs in Danish upper secondary mathematics textbooks as a result of the 2005 reform that introduced CAS as a part of the upper secondary level curriculum (and examinations). Based on a reading of 33 upper secondary school mathematics textbooks, 38 instances of CAS assisted proofs are…