Critical consciousness in engineering education: going beyond critical thinking in mathematical modeling

Lopes, Aldo Peres Campos e

doi:10.1080/03043797.2023.2203082

Cited by 3 publications

(2 citation statements)

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“…The main objectives of this modeling conception involve developing MM skills in order to make decisions in society, with the main skill in focus being the development of critical thinking. The competency to think critically involves not only the ability to apply mathematics, but also to reflect on the application made, examining the role of mathematics in society (LOPES, 2023). Thus, the mathematical model is a translation, through mathematics, of a relevant situation.…”

Section: A Modeling Perspective In Favor Of Critical Citizenshipmentioning

confidence: 99%

Countering the ideology of certainty through reflective knowledge in mathematical modeling

Lopes

2023

Bolema

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This article intends to reveal the overlap between certainty in mathematics and the development of a critical view. For this, we use the ideology of certainty concept, which can be understood as a tendency to consider mathematics always right, being the final statement of arguments and applicable in all circumstances, without exception. Additionally, to describe the students’ critical posture, we used reflective knowledge. This qualitative analysis was based on the improvement of the steps suggested by Ole Skovsmose for the development of reflective knowledge. The mathematical modeling activities had topics of interest to the students and were carried out in groups. We found that reflective knowledge tends to improve after the production of a first model and that the development of this knowledge is directly associated with the destabilization of the ideology of certainty. On the other hand, many students found it difficult to delve deeper into reflective knowledge and, consequently, have a greater distance from the ideology of certainty. Thus, we realize that it is necessary that assistance be given to students so that they can improve reflective knowledge and counter the ideology of certainty.

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Section: A Modeling Perspective In Favor Of Critical Citizenshipmentioning

confidence: 99%

Countering the ideology of certainty through reflective knowledge in mathematical modeling

Lopes

2023

Bolema

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“…Pesquisas mostram que, discutindo com seus colegas um tema retirado da realidade, estudantes podem ter um entendimento mais profundo e crítico do problema em estudo (Stephan et al, 2021, Lopes, 2023. Assim, sustentamos a utilização da MM no Ensino Médio, por suas características singulares que beneficiam tanto o pensamento quanto a ação reflexiva do educando, desenvolvendo habilidades sociais e críticas (Klüber & Burak, 2008, Araújo, 2009, Niss & Blum, 2020.…”

Section: Introductionunclassified

Modelagem Matemática no Viés da Educação Matemática Crítica no Ensino Médio: um Panorama das Pesquisas no Cenário Brasileiro

Lopes,

Ferreira

2024

JIEEM

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Apresentamos um panorama de produções científicas relativas à modelagem matemática que fizeram uso da educação matemática crítica no Ensino Médio. Apesar de não limitarmos um período para a busca, os resultados apresentaram publicações entre os anos de 2007 e 2018. Utilizamos critérios da pesquisa qualitativa e as particularidades de uma pesquisa do tipo estado da arte. A coleta de dados foi realizada no banco de teses e dissertações da Comissão Permanente de Pessoal de Ensino Superior (Capes). Identificamos os objetivos, as perspectivas para a modelagem matemática e para os aspectos críticos desenvolvidos, bem como os resultados apontados. As análises permitiram compreender como a modelagem matemática, sob o olhar da educação matemática crítica, tem sido desenvolvida no território brasileiro. Finalizamos apontando lacunas e possíveis direcionamentos para outras pesquisas relativas a essa temática. Constatamos que há poucas produções fora do eixo formado pelas regiões sul e sudeste e poucas teses, além da predominância de uma abordagem qualitativa. Ademais, a abordagem de aspectos relacionados às competências de modelagem é diminuta, bem como o foco em algumas particularidades críticas, como o desenvolvimento da democracia. Com isso, ainda que a pesquisa brasileira esteja em sintonia com pesquisas internacionais e, em particular, com as da América Latina, há vertentes abertas de investigação para aperfeiçoar essa sintonia. Palavras-chave: Modelagem Matemática. Educação Matemática Crítica. Ensino Médio. AbstractWe present an overview of scientific productions related to mathematical modeling that made use of critical mathematics education at the high school level. Although we did not limit a period for our search, the results showed publications between the years 2007 and 2018. We used qualitative research criteria and the particularities of a state-of-the-art research. Data collection was carried out in the bank of theses and dissertations of the Permanent Commission for Higher Education Personnel (Capes). We identified the objectives, the perspectives for the mathematical modeling and for the developed critical aspects, as well as the indicated results. The analyzes allowed us to understand how mathematical modeling under the perspective of critical mathematics education has been developed in Brazil. We conclude by pointing out gaps and possible directions for further research within this theme. We found that there are few productions outside the south-southeast axis and few theses, in addition to the predominance of a qualitative approach. Furthermore, the approach to aspects related to modeling skills is limited, as well as the focus on some critical particularities, such as the development of democracy. As a result, even though Brazilian research is in tune with international research and with that of Latin America, there are open lines of investigation to improve this harmony. Keywords: Mathematical Modeling. Critical Mathematics Education. High School.

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Mathematical modelling: a methodology favourable to the manifestation of critical mathematics consciousness

Lopes

2024

International Journal of Mathematical Education in Science and

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Critical consciousness in engineering education: going beyond critical thinking in mathematical modeling

Cited by 3 publications

References 51 publications

Countering the ideology of certainty through reflective knowledge in mathematical modeling

Countering the ideology of certainty through reflective knowledge in mathematical modeling

Modelagem Matemática no Viés da Educação Matemática Crítica no Ensino Médio: um Panorama das Pesquisas no Cenário Brasileiro

Mathematical modelling: a methodology favourable to the manifestation of critical mathematics consciousness

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