Teachers can gain much information on their students' understanding of patterns by collecting and reviewing students' written work at the end of a lesson.
Even though students cannot be asked why they made specific responses, it is possible to make some definite inferences.
- Did most students interpret the task as intended?
- Did most students show understanding of the given pattern?
- What misconceptions were common?
The answers to questions like these will help decide what to do next.
- If most students mastered the given task, then it may be appropriate to pose a more challenging task in the next lesson to extend their understanding — or it may be time to move on to another topic.
- If many students made the same error, it may be possible to design a patterning task for the next lesson that will highlight this error and provide students with some guidance on how to overcome it.
