@misc{10481/90929,
year = {2023},
month = {11},
url = {https://hdl.handle.net/10481/90929},
abstract = {To promote optimal learning in their students, mathematics teachers must be proficient in
problem posing, making this skill a cornerstone in teacher training programs. This study presents a
formative action in which pre-service teachers are required to create and analyze a problem involving
proportional reasoning within a probabilistic context. For this problem, they must identify the objects
and processes involved in its resolution, recognize the degree of algebraic reasoning implied and
identify potential difficulties for students. Subsequently, they need to formulate and analyze a
new problem with variation, which mobilizes higher-level algebraic activity. Results indicate that
prospective teachers struggle to pose problems that engage proportional reasoning, as well as to
identify in their analysis which elements of proportional and algebraic reasoning are present in their
solutions. Despite this fact, a significant percentage of participants adequately modify the original
problem to address higher levels of algebraic reasoning, identifying in these cases the new algebraic
objects and potential difficulties that might arise as the degree of generalization required in the
solution increases. The study concludes by underscoring the importance of training in problem
posing to enhance the knowledge and competences of prospective teachers concerning proportional
and algebraic reasoning.},
organization = {Project PID2019-105601GB-I00/AEI/10.13039/501100011033},
organization = {Project PID2022-139748NB-100 funded by MCIN/AEI/ 10.13039/501100011033/ and by FEDER (una
forma de hacer Europa)},
organization = {Research Group FQM-126 (Junta de Andalucía)},
publisher = {MDPI},
keywords = {Problem posing},
keywords = {Algebraization levels},
keywords = {Proportional reasoning},
title = {Creation of Problems by Prospective Teachers to Develop Proportional and Algebraic Reasonings in a Probabilistic Context},
doi = {10.3390/educsci13121186},
author = {Tizón Escamilla, Nicolás and Burgos Navarro, María José},
}