Investigation Of Mathematics Teachers' Use Of Representation With Video-Based Events In The Context Of Pattern General Problems
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https://doi.org/10.5281/zenodo.11582188Keywords:
Multiple Representations, Representation, Pattern Generalization Problems, Video-Based Case studiesAbstract
Generalization, one of the ways of doing mathematics, has an important place in mathematics education as it supports the development of algebraic thinking by helping students transition from arithmetic thinking to algebra. The use of different representations in developing generalization skills is emphasized by many researchers. The basic structure of mathematical generalization is patterns and pattern generalization problems. This research aims to examine how and for what purposes mathematics teachers use representation in the generalization process in the context of pattern generalization problems, through video-based case studies.The participants of the research consist of four mathematics teachers who participated voluntarily. During the data collection process, participants were shown videos of five lesson parts performed within the scope of pattern generalization problems. Data were obtained from written and verbal sources that emerged during the interview process conducted over video-based events. Qualitative analysis method was used to analyze the data. The findings of the research reveal that there are differences in the purposes of use of the representations used in generalization processes. It has also been observed that mathematics teachers make transformations between representations during the generalization process.
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