This paper presents a study based on didactic engineering and the theory of didactical situations on the complexification of the Leonardo sequence, addressing its numbers in a two-dimensional way, with the insertion of the imaginary unit "i". This study is an excerpt from a masters' thesis research done in the postgraduate programme in…

This work is a segment of an ongoing doctoral research in Brazil. The Leonardo numbers and the Leonardo sequence have gained attention from mathematicians and the academic community. Despite being a relatively new sequence within mathematical literature, its discussion has intensified over the past five years, giving rise to other branches, with…

This study examined Physical Education Pre-Service Teachers' (PSTs) perceptions of their teaching from constructivist teaching practices and their variation among PSTs' responses when aggregated by sex, teaching practices curriculum, extension project, and university type. The sample consisted of 869 Physical Education PSTs from Brazil (female =…

Several studies demonstrate the benefits of educating for social justice in physical education teacher education programs [O'Sullivan, M. (2018). PETE Academics as public intellectuals and activists in a global teacher education context. "Physical Education and Sport Pedagogy," 23(5), 536-543], which supports that pre-service teachers…

Contemporary literacy practices need to be addressed in school settings. That requires awareness by teachers and students of the cultural and linguistic diversity present in our cosmopolitan societies. In the field of English language teaching (ELT), one way of responding to such demand is engaging teachers with multiliteracies pedagogies…

The article discusses Indigenous caring relations in everyday practices involving children, in which co-learning approaches, as well as peer-to-peer learning processes, are grounded in territory. We revisit a set of learning encounters that unfolded as part of the Intercultural Training Programme for Indigenous Educators in Southeast Brazil. The…

This study is based on an exploratory teaching experiment, integrating the use of GeoGebra, carried out with Brazilian pre-service mathematics teachers that were attending a Pre-Calculus course. We focus on the contributions of GeoGebra to the learning that the students evidence about the 'instantaneous rate of change', in this teaching experiment…

The aim of this study was to analyze the development of the PCK of a Chemistry student teacher, from a university in southern Brazil, during teaching activities in the Supervised Internship. The theoretical basis adopted in this study was the PCK theory proposed by Shulman (1986, 1987) and some models that unfolded from it. Data collection…

The Direct Method, a pedagogical approach for teaching additional languages through immersion, emphasizes oral interaction and everyday language usage to facilitate language acquisition. This method discourages reliance on translation and minimizes emphasis on grammatical rules. However, a fundamental question arises about the effectiveness of…

This article analyses how themes and problematisations concerning social justice presented in a pre-service English language teacher education programme in São Paulo, Brazil, resonate in student teachers' knowledge production processes. To do so, the case study is presented in two parts. The first one examines the theoretical foundations and the…

The objective of this article is to identify the meaning attributed to the didactics of mathematics and what are the criteria with which an improvement in the teaching and learning process of mathematics is based, future teachers of mathematics, belonging to universities in three different countries (Brazil, Chile, and Ecuador). The qualitative…

The purpose of this research was to gain an understanding of pre-service chemistry teachers' beliefs about argumentation and argumentative practice in the context of school after they have participated in intentional argumentation training. A month after completing their training, the researchers conducted interviews with them and analyzed the…

By ethnic-racial relations one understands the relations established between ethnic groups whose base is guided by race category, seen on a social perspective. Schools should be an environment propitious to the promotion of Education for Ethnic-racial Relations, the teacher being an indispensable agent in this process. The present study is…

In this article, we present how educational resources for zoology designed by undergraduate students help to propose means of action for teaching diversity and animal evolution in basic education. We realised that activities of creation and analysis of educational resources, in the context of didactic planning, have the potential to approximate…

The teaching of Mathematics in the context of the Mathematical Olympiads in Brazil constitutes a context of research still little considered, with particular interest in the teaching and the learning phenomena. In Brazil, we identified a large number of teachers and students who do not participate in official math competitions, such as the…