Czikszentmihalyi's idea of flow is interesting since it is a nice middle ground to be in. There is a balance between the challenge difficulty level and the knowledge/skills an individual has. During a state of flow, the person is focused and feel the task is rewarding, which leads to a sense of happiness. This works through meaningful pursuits of tasks that are a bit complex that stretch our capabilities. For me, I have experienced a state of flow with the card flip game done in class. Experimenting around and understanding the purpose/rules of the game allowed me to formulate a way to arrange the cards. I also experienced a state of flow from answering the riddle regarding "brothers and sisters I have not, but that man's father is my father's son." I'm interesting in family trees and relationships between the members. I think interest prompts flow and allowed me to use my knowledge to solve this problem. For whether it is connected with math experiences, I would say family trees could be represented using nodes and edges, to be studied in graph theory. One tree for one individual is very different from another's, yet they might share one link together. I do believe a state of flow is achievable in secondary math class because that is when student inquiry beings to grow rapidly. They are exposed to many elements in life and will question many things. Giving those students an opportunity to exercise their knowledge set will improve their analysis. To create this state of flow as teachers, questioning students on their explanation is helpful. It makes them check for any loose ends. Designing tasks that are neither too easy nor too hard helps too. The activity should be challenging enough to stretch students' skills without overwhelming them. Also, most students are interested on how math is relevant to their lives. Real world applications can make abstract concepts more tangible and worth investing effort into.
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Hi Michael, it's intriguing how your experiences with the card game and the riddle led to a state of flow, driven by your interest and knowledge. Your perspective on representing family trees through graph theory showcases a fascinating connection between real-life scenarios and mathematical concepts. Creating a state of flow in secondary math classes by encouraging student inquiry and providing challenging yet manageable tasks aligns well with fostering deeper understanding and analysis.
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