Understanding of Geometric Reflection: John’s learning path for geometric reflection

This study is an exploration of the development a pre-service teacher’s mental structure from motion view to mapping geometric reflection. Many secondary mathematics teachers’ (PTs) understand reflection as rather than domain containing points in plane relative line, which essential understanding needed for teaching mathematics. Dubinsky’s action, process, object and schema (APOS) framework document transition PT’s (John’s) structures view. Data interview transcripts, videos, written artifacts were analyzed using. Results indicated that John’s initial informed his evolving through sub-concepts plane. It argued evolves sub concepts develop successive challenges using figures questioning. The part larger was conducted with six PTs. However, it focuses on one PTs, John, who reached other PTs also demonstrated similar structure.