I experience a state of flow mostly through learning music. I can sit with a new piece of music that is challenging, but enjoyable, working through the tough sections and I wouldn't notice that I spent a few hours sitting with my instrument. However, this doesn't happen every time I play music, only when I feel like learning something new.
Recently in one of my math courses, we completed a high school math test. Class time that usually went by very slowly, went by quickly because I enjoyed doing math that was familiar but evoked thought because I hadn't encountered it in a long time.
I believe a state of flow can be achieve in secondary math classes. New information must be presented in a way that is approachable to students and that invites students to be creative in their thinking. In other words, inquiry-based learning environments can be a good tool for this. When all the answers are given or when full instructions or procedures of how to solve a problem are given, it does not encourage students to think further about the questions. Using various activities and opportunities for group work can help with exposing students to new perspectives that they haven't seen before, therefore challenging students' thinking.
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