Analysis of Pre-service Teachers’ Generalization and Justification Strategies in Solutions to Figural Pattern-generalization Tasks
We analyzed 37 PSTs’ written solutions to four figural pattern generalization tasks, video recordings of class discussions, and audio-recordings of problem-based interviews during which the PSTs were asked to solve one pattern generalization task, to answer the following research questions: (1) What relationships and structural aspects of a figural pattern do PSTs build upon to formulate pattern generalization? (2) How do they utilize uncovered relationships and structural aspects of a figural pattern to justify their general rules?
We analyzed 37 PSTs’ written solutions to four figural pattern generalization tasks, video recordings of class discussions, and audio-recordings of problem-based interviews during which the PSTs were asked to solve one pattern generalization task, to answer the following research questions: (1) What relationships and structural aspects of a figural pattern do PSTs build upon to formulate pattern generalization? (2) How do they utilize uncovered relationships and structural aspects of a figural pattern to justify their general rules?