Failure of Interpretation: Semiotic Representations in Fractional Problem Solving

Abstract

Semiotics is the study of signs. Signs are the result of thoughts used to find mathematical relationships with realworld objects and to represent abstract mathematical concepts. The purpose of this qualitative research is to analyze the failure of interpretation in the semiotic representation of elementary school students in solving fraction problems. To the subject given one problem-solving problem. From the results of the study, showing the subject uses visual representation. The subject solved the problem using pictures. The steps taken by the subject in solving the problem are correct but the subject is wrong in drawing the final conclusion that each Aqla sister gets a third portion of the pizza. Failure to interpret occurs when the research subject does not see the pizza picture given to Aqla's grandfather. The subject failed in interpreting the semiotic representation of a picture of half a pizza given to grandfather and half a pizza given to Aqla's three siblings. This happened because the subject ignored the pizza picture that was given to Aqla's grandfather. The loss of subject attention to the half pizza picture of students accustomed to being given instructions by the teacher in solving problems

The investigation of interpretation shift among elementary students in semiotic reasoning for constructing a concept in math

“…In the activity of identifying objects, subjects collect rectangular objects around them. These objects are objects collected by students from observations of signs that are on the student's environment (Schreiber, 2013;Suryaningrum et al, 2020a;Suryaningrum et al, 2020b). In the activity of identifying objects, there are different objects collected by this subject influenced by the subject's experience in seeing rectangular-shaped objects.…”