Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving
This work shows the relationship between the development of mathematical thinking and creativity with mathematical problem posing and solving. Creativity and mathematics are disciplines that do not usually appear together. Both concepts constitute complex processes sharing elements, such as fluency...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidad San Ignacio de Loyola
2016-04-01
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| Series: | Propósitos y Representaciones |
| Subjects: | |
| Online Access: | http://revistas.usil.edu.pe/index.php/pyr/article/view/89 |
| _version_ | 1819238473231499264 |
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| author | María F. Ayllón Isabel A. Gómez Julio Ballesta-Claver |
| author_facet | María F. Ayllón Isabel A. Gómez Julio Ballesta-Claver |
| author_sort | María F. Ayllón |
| collection | DOAJ |
| description | This work shows the relationship between the development of mathematical thinking and creativity with mathematical problem posing and solving. Creativity and mathematics are disciplines that do not usually appear together. Both concepts constitute complex processes sharing elements, such as fluency (number of ideas), flexibility (range of ideas), novelty (unique idea) and elaboration (idea development). These factors contribute, among others, to the fact that schoolchildren are competent in mathematics. The problem solving and posing are a very powerful evaluation tool that shows the mathematical reasoning and creative level of a person. Creativity is part of the mathematics education and is a necessary ingredient to perform mathematical assignments. This contribution presents some important research works about problem posing and solving related to the development of mathematical knowledge and creativity. To that end, it is based on various beliefs reflected in the literature with respect to notions of creativity, problem solving and posing. |
| first_indexed | 2024-12-23T13:36:47Z |
| format | Article |
| id | doaj.art-162e92d9a5cb45318bd4696bdffcc7c6 |
| institution | Directory Open Access Journal |
| issn | 2307-7999 2310-4635 |
| language | English |
| last_indexed | 2024-12-23T13:36:47Z |
| publishDate | 2016-04-01 |
| publisher | Universidad San Ignacio de Loyola |
| record_format | Article |
| series | Propósitos y Representaciones |
| spelling | doaj.art-162e92d9a5cb45318bd4696bdffcc7c62022-12-21T17:44:59ZengUniversidad San Ignacio de LoyolaPropósitos y Representaciones2307-79992310-46352016-04-014116921810.20511/pyr2016.v4n1.8985Mathematical Thinking and Creativity through Mathematical Problem Posing and SolvingMaría F. Ayllón0Isabel A. Gómez1Julio Ballesta-Claver2Centro de Magisterio La Inmaculada, Granada; Universidad de Granada, Granada, EspañaCentro de Magisterio La Inmaculada, Granada; Universidad de Granada, Granada, EspañaCentro de Magisterio La Inmaculada, Granada; Universidad de Granada, Granada, EspañaThis work shows the relationship between the development of mathematical thinking and creativity with mathematical problem posing and solving. Creativity and mathematics are disciplines that do not usually appear together. Both concepts constitute complex processes sharing elements, such as fluency (number of ideas), flexibility (range of ideas), novelty (unique idea) and elaboration (idea development). These factors contribute, among others, to the fact that schoolchildren are competent in mathematics. The problem solving and posing are a very powerful evaluation tool that shows the mathematical reasoning and creative level of a person. Creativity is part of the mathematics education and is a necessary ingredient to perform mathematical assignments. This contribution presents some important research works about problem posing and solving related to the development of mathematical knowledge and creativity. To that end, it is based on various beliefs reflected in the literature with respect to notions of creativity, problem solving and posing.http://revistas.usil.edu.pe/index.php/pyr/article/view/89Resolución de problemas, invención de problemas, Educación Matemática y creatividad |
| spellingShingle | María F. Ayllón Isabel A. Gómez Julio Ballesta-Claver Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving Propósitos y Representaciones Resolución de problemas, invención de problemas, Educación Matemática y creatividad |
| title | Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving |
| title_full | Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving |
| title_fullStr | Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving |
| title_full_unstemmed | Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving |
| title_short | Mathematical Thinking and Creativity through Mathematical Problem Posing and Solving |
| title_sort | mathematical thinking and creativity through mathematical problem posing and solving |
| topic | Resolución de problemas, invención de problemas, Educación Matemática y creatividad |
| url | http://revistas.usil.edu.pe/index.php/pyr/article/view/89 |
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