This paper addresses the desideratum identified by Törner (2018), that researchers' beliefs are rarely addressed in the research literature dealing with beliefs. For this purpose, firstly a suitable theoretical framework is outlined that links the concept of belief with the research perspectives of researchers. Secondly, examples are given of how…

Engaging in the construction and interpretation of graphs is a complex process involving concerted activation of context-specific cognitive resources. As students engage in this process, they apply fine-grained, intuitive ideas to graphical patterns: graphical forms. Using data involving pairs of students constructing and interpreting graphs, we…

When implementing educational innovations, teachers' approaches to integrating new teaching demands are a crucial factor in their professional development. This becomes especially important in inclusive mathematics education, where teachers are demanded to integrate two jobs: (a) create joint learning experiences for all students and (b) provide…

This study describes preservice teachers' beliefs about teaching mathematics for social justice (TMSJ) after experiencing a two-part professional development (PD) workshop on the subject. The research question is: To what degree does a PD experience, designed by a preservice teacher, influence preservice teachers' beliefs about TMSJ? The lead…

This study sought to investigate university mathematics teachers' perceptions on their general pedagogical knowledge (GPK) while teaching an applied mathematics course tailored for pre-engineering students at a public university in Ethiopia. Using a case study approach, data were collected through a Likert-scale questionnaire and semi-structured…

Literature shows there is support for adding connection and relevancy in mathematics for students through the use of real-world context and data in mathematical modelling. A teaching unit on mathematical modelling was designed within the context of future affordable housing for the local surrounding area. The teaching unit was implemented, and…

This study answers the following research questions: 1) What types of mathematical errors do future teachers identify when they reflect on their practice? and 2) Which levels of development of the didactic suitability assessment competence for the "errors" component can be inferred when they reflect on their practice? To answer these…

Learning mathematics in an online learning environment has unique challenges. Success in an online mathematics learning environment depends on a student's self-regulating ability. This systematic review provides the scholarly community with a synthesis of current self-regulated learning (SRL) strategies of students in the mathematics online…

In the early 1980s, the "theory of didactic situations" put the analysis of mathematical activity at the core of the didactic analysis, thus initiating a new research programme in mathematics education: the "epistemological programme." This paper describes and interprets some of the contributions of the "anthropological…

Geometry processing holds a foundational position within the realm of computer graphics, with advancements in this field regularly published at SIGGRAPH annually. The journey from writing the paper to implementing the algorithms is a meticulous and error-prone process, demanding significant dedication and attention to detail. Authors frequently…

The subjective number-space mapping and, especially, its evolution in young children has been the subject of intense controversy among different competing models. Many studies point out that: (i) young children's innate estimates follow a logarithmic mapping (Weber-Fechner law) and (ii) driven by education, children evolve into a linear mapping.…

Functions are an essential concept in mathematics. The studies that have examined functions in advanced contexts have primarily focused on students' reasoning about specific types of functions (such as binary operations and isomorphisms) but not on the core characteristics of well-definedness and everywhere-definedness. Here, we report on a study…

Teaching has long since been understood as a moral and ethical endeavor (e.g., hooks, 1994; Hansen, 2021). It is also widely understood that to be a "good" teacher, teachers must "learn." Teaching requires exquisite responsiveness to students, relationships, content, and the social and political world (e.g., Ball & Cohen,…

This paper introduces the concept of logical consistency in students' thinking in mathematical contexts. We present the Logical in-Consistency (LinC) instrument as a valuable assessment tool designed to examine the prevalence and types of logical inconsistencies among undergraduate students' evaluation of mathematical statements and accompanying…

Deterioration of students' mathematics achievement has been a common problem while their mathematics perception and self-efficacy have been reported to determine their achievement. However, little is known about the potential relationships among them. Therefore, this study attempted to investigate the extent of influence of students' mathematics…