Razonamiento configural y organización discursiva en proceso de prueba en contexto geométrico
2019
In this study, we analyze the status change of the different
mathematical affirmations that compose the discursive
process in solving proof problems into geometry context.
In particular, we focus on the way in which it is developed
and organized the written discourse (answer) which allows
communicating the solution, with the aim of identifying
relationships with the configural reasoning outcomes. For
this, we analyze the answers of students in the four grade of
compulsory secondary education to four proof problems in
a geometrical context. The results highlight the necessity of a
change into the status of the mathematical affirmations involved in the reasoning leading to the solution, as well as the
development of an argumentation that it should be developed
from the accumulation mode to the substitution one. However,
the presence of these characteristics of the proof process
don’t guarantee that the configural reasoning “truncation” that
generates the formal proof will occur, due to, among other
factors, the influence exerted by the relevant subconfiguration
identified in the reasoning process.
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