Exploring the relationship between creativity and creative reasoning in the subject of Differential and Integral Calculus
The study investigates the relationship between creativity and creative reasoning in the context of working with mathematical tasks in the subject of Differential and Integral Calculus. The research explores how these concepts manifest themselves and influence mathematical problem solving, with a qu...
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| Published in: | Educação matemática debate Vol. 9; no. 17; pp. 9 - 14 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Universidade Estadual de Montes Claros
10.05.2025
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| Subjects: | |
| ISSN: | 2526-6136, 2526-6136 |
| Online Access: | Get full text |
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| Abstract | The study investigates the relationship between creativity and creative reasoning in the context of working with mathematical tasks in the subject of Differential and Integral Calculus. The research explores how these concepts manifest themselves and influence mathematical problem solving, with a qualitative approach and detailed analysis of a task. It highlights creativity as a developable ability and creative reasoning as a process of novelty, flexibility and plausibility. Strategies to stimulate its development in teaching are also discussed. The analysis suggests that encouraging creative reasoning in students, motivating them to explore different approaches and question constraints, promotes a deeper and more innovative understanding of mathematical concepts. |
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| AbstractList | The study investigates the relationship between creativity and creative reasoning in the context of working with mathematical tasks in the subject of Differential and Integral Calculus. The research explores how these concepts manifest themselves and influence mathematical problem solving, with a qualitative approach and detailed analysis of a task. It highlights creativity as a developable ability and creative reasoning as a process of novelty, flexibility and plausibility. Strategies to stimulate its development in teaching are also discussed. The analysis suggests that encouraging creative reasoning in students, motivating them to explore different approaches and question constraints, promotes a deeper and more innovative understanding of mathematical concepts. The study investigates the relationship between creativity and creative reasoning in the context of working with mathematical tasks in the subject of Differential and Integral Calculus. The research explores how these concepts manifest themselves and influence mathematical problem solving, with a qualitative approach and detailed analysis of a task. It highlights creativity as a developable ability and creative reasoning as a process of novelty, flexibility and plausibility. Strategies to stimulate its development in teaching are also discussed. The analysis suggests that encouraging creative reasoning in students, motivating them to explore different approaches and question constraints, promotes a deeper and more innovative understanding of mathematical concepts. El estudio investiga la relación entre creatividad y razonamiento creativo en el contexto del trabajo con tareas matemáticas en la asignatura de Cálculo Diferencial e Integral. La investigación explora cómo estos conceptos se manifiestan e influyen en la resolución de problemas matemáticos, con un enfoque cualitativo y el análisis detallado de una tarea. Enfatiza la creatividad como una habilidad desarrollable y el razonamiento creativo como un proceso de novedad, flexibilidad y plausibilidad. También se discuten estrategias para fomentar su desarrollo en la enseñanza. El análisis sugiere que fomentar el pensamiento creativo en los alumnos, motivándoles a explorar distintos enfoques y cuestionar las limitaciones, favorece una comprensión más profunda e innovadora de los conceptos matemáticos. |
| Author | Trevisan, André Luis Vertuan, Rodolfo Eduardo Lima, Leandra Leticia de |
| Author_xml | – sequence: 1 givenname: Leandra Leticia de orcidid: 0000-0001-6641-5581 surname: Lima fullname: Lima, Leandra Leticia de – sequence: 2 givenname: Rodolfo Eduardo orcidid: 0000-0002-0695-3086 surname: Vertuan fullname: Vertuan, Rodolfo Eduardo – sequence: 3 givenname: André Luis orcidid: 0000-0001-8732-1912 surname: Trevisan fullname: Trevisan, André Luis |
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| SubjectTerms | Creatividad Creativity Educación Matemática Enseñanza de las Matemáticas Enseñanza del Cálculo Diferencial e Integral Mathematical Tasks Mathematics Education Tareas Matemáticas Teaching Differential and Integral Calculus Teaching Mathematics |
| Title | Exploring the relationship between creativity and creative reasoning in the subject of Differential and Integral Calculus |
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