Landscapes of Investigation and Scientific Initiation: Possibilities in Civilizatory Equation

Abstract

Backgroud: Society today presents a civilizatory equation, which comprises the complex relationship between what is technical and what is human and, therefore, the study of contemporary variables is central to the interpretation of this reality. Objectives: Answer the questions: Does Scientific Initiation (SI) approximate in the concerns of critical mathematics education (CME)? Does this approach contribute to critical and reflective mathematics teaching? Design: It presents a scenario for research developed from the didactic reflective transposition of a SI project, as well as the purposeful reflections built in the process. The methodological approach was action-research. Setting and Participants: The study was carried out at the Federal Institute Catarinense-Brazil and involved 1st-grade students of Technical Course Integrated to High School. The classes were selected because they were students of the researcher herself. Data collection and analysis: The data were produced throught the teacher-researcher's notes and the filming of the classes. The analysis was done by comparing the actions/reactions of the students with the theory. Results: The SI transposed into research scenarios provides the investigation of contemporary themes that are close to EMC, by encouraging questioning, autonomy, decision-making and critical interpretation of reality. Conclusions: With this study, we could perceive a transformation in the mathematics classes to evidence the criticality and understanding of reality. It is evident that landscape of investigation is an excellent strategy for the teaching of mathematics imbricated to the technological and human issues that constitute the complex civilizatory equation.

Countering the ideology of certainty through reflective knowledge in mathematical modeling

“…Let's look at their statements. We therefore noticed that these students recognized that MM activities presented an opportunity to distance themselves from the exercise paradigm and apply the content to a real problem (BORBA, 2001;CIVIERO;OLIVEIRA, 2020). Although some others made similar comments, the acceptance of the MM was not unanimous, as two students, for example, cited their preference for the traditional approach:…”

5. Mathematics Embedded in Community-Based Practices

“…In our spirit suffering stones and arrows With which Fortuna, enraged, targets us, 1 Part of this paper was first published in Portuguese and English as Civiero and de Oliveira (2020). We thank the editors of Acta Scientiae for their kind permission to draw on this publication.…”

Contrapondo a ideologia da certeza por meio do conhecimento reflexivo na modelagem matemática

“…Levi: [...] antes trabalhávamos com exercícios nos quais as equações não tinham uma aplicabilidade. Na modelagem, nós transformamos um problema do dia a dia em equações, que acabam conferindo mais sentido ao que estamos trabalhando (Assertivas individuais de sujeitos da pesquisa, 2020).Percebemos, assim, que esses alunos reconheceram que as atividades de MM apresentaram uma oportunidade de se distanciar do paradigma do exercício e de aplicar o conteúdo numa problemática da realidade(BORBA, 2001;CIVIERO;OLIVEIRA, 2020).Embora alguns outros tenham tecido comentários semelhantes, a aceitação da MM não foi unânime, uma vez que dois estudantes, por exemplo, citaram a preferência pela abordagem tradicional: Antônio: [...] tradicional, com aulas expositivas e listas de exercícios (Assertiva individual de sujeito da pesquisa, 2020). Alguns estudantes se aprofundaram mais no desenvolvimento do conhecimento reflexivo e alguns apresentaram sugestões de ações.…”