# Inductive Reasoning of Prospective Mathematics Teachers in Proofs

### Abstract

This study investigated how prospective mathematics teachers use inductive reasoning in constructing mathematical proofs. Using a qualitative research design, data were collected through assignments and semi-structured interviews, from 13 fourth-year subjects of the mathematics education study program. The findings showed that although the subjects generally could recognize rules and formulate conjectures, they sometimes lacked rigor in arguing. In addition, Subjects used inductive insights to form conjectures and deductive methods to prove them. This research contributes to understanding how inductive reasoning can be developed and integrated into mathematics teaching practices to improve the quality of mathematics education.

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