A Study of the Complexity of Problems Posed by Talented Students in Mathematics
Metadatos
Mostrar el registro completo del ítemEditorial
MDPI
Materia
Problem posing Complexity of tasks Mathematical talent
Fecha
2022-05-27Referencia bibliográfica
Espinoza, J.; Lupiáñez, J.L.; Segovia, I. A Study of the Complexity of Problems Posed by Talented Students in Mathematics. Mathematics 2022, 10, 1841. [https://doi.org/10.3390/math10111841]
Patrocinador
Spanish Government European Commission PID2021-128261NB-I00Resumen
Problem posing and mathematical talent are topics of interest to the community of researchers
in Mathematics Education, but few studies reveal talented students’ abilities to solve
problem-posing tasks. The data were collected using a problem invention instrument composed of
four questionnaires that include free, semi-structured tasks and problem invention structures. The
sample consisted of 23 students considered as mathematically talented and 22 students from a standard
public school. The results show that the problems posed by the talent group are more complex
than those invented by the standard group. The former are longer and show greater diversity of ideas
while also requiring more steps to be solved, presenting a higher level of complexity according to
the PISA framework, and requiring significant cognitive effort. In conclusion, the problem invention
instrument used and the variables defined enabled us to analyze the complexity of the problems
posed by the group of talented students. The statistical analysis performed reinforces the differences
found in the complexity of the productions by the two groups studied.