In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…

A concern in Mathematics Education is the professional development of the teacher and to promote effective training programs. The literature provides principles guiding the design of such programs, which were considered for an instruction intended to strengthen the teacher's practice in relation to the development of mathematical skills. The…

This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions…

Dehumanized and globalized mathematics education in the last centuries has led to established learning processes disconnected from indigenous knowledge. The effect of cognitive imperialism, given the systematic negation of the language and the culture, has as a disastrous consequence of the gradual and systematic loss of knowledge and indigenous…

Recognising teachers' knowledge as one of the main factors influencing their practices and student learning, we aim to contribute to obtaining a better and deeper understanding of the specificities of teachers' mathematical knowledge. A case study involving one 8th-grade Chilean mathematics teacher is presented in the context of rational numbers.…

The COVID-19 pandemic generated a new scenario in education, where technological resources mediate teaching and learning processes. This paper presents the development of a virtual teacher training experience aimed at promoting inferential reasoning in practicing and prospective mathematics teachers using inference problems on the Chi-square…

Based on the unpredictable effect of context familiarity when students solve real-world problems, this work aims to analyse how certain contexts can be used by pre-service mathematics teachers in the representation and real-world verification of a first-order mathematical model in the classroom in the subject of Ordinary Differential Equations.…

Research in mathematics education has shown that individuals' beliefs play a fundamental role in their responses to and interest in mathematics and their application of these beliefs in real-life situations. Although the literature related to the affective domain in general, and beliefs, has explored the relationship between beliefs and student…

Blended learning, which combines face-to-face workshops with self-directed online learning, is becoming a good alternative in designing and deploying professional development programs. The online component adapts to teachers' time constraints, requires fewer trained professionals for its implementation, and enhances participants' opportunities to…

It is not easy for teachers to re-author their professional identities to incorporate change after participation in professional development (PD). In this article, we seek to understand Chilean teachers' collective identity performances after PD into collaborative problem-solving mathematics. We undertook a classical thematic analysis of…