Pattern of Semiotic Reasoning in Solving Two-Dimensional Shape Problems: A Multimodal Analysis

Semiotic reasoning is the process of drawing a conclusion based on objects, signs, and students'
interpretations of the meaning of signs. This process is reflected through written, verbal, and gestural
answers (multimodal). Therefore, this research aims to describe the patterns of students' semiotic reasoning
in solving two-dimensional shape problems based on a multimodal analysis. This study was conducted
qualitatively using an exploratory descriptive approach. The research was conducted by involving 2
participants from the third grade of Muhammadiyah Elementary School, Malang. The instruments used
were observations, interview guidelines, and written exam questions. Observations were made when the
participants solved problems in writing and during interviews. The interviews were conducted to confirm
the written answers. The written test consisted of one question about the perimeter of a two-dimensional
shape. The research results of the two third-grade students were analyzed using four stages of (1) data
transcription, (2) sorting and selecting appropriate data, (3) data presentation, and (4) drawing conclusions.
The research obtained two patterns of semiotic reasoning used by the participants. The first pattern was
analysis, analysis-generalization, integration, and justification. The second pattern was analysis, analysisgeneralization,
integration,
analysis,
integration,
integration,
and
justification.
In
addition,
it
was
found
that

the
first
pattern
gave
the
wrong
final
answer.
In
the
first
pattern,
especially
at
the
stage
of implementing
the problem-solving
plan, the participant made a mistake in the integration indication, resulting in a wrong
answer. Follow-up research needs to be carried out to determine the quality of students' reasoning ability
when solving multimodal-based mathematical problems.