My Reflections on Assignment One(Loaf Sharing Using Arithmetic Progression).

I had the opportunity to work with Chris and Jumia, and I truly appreciated the high level of teamwork. We met several times in the Scarfe building to discuss the task at hand, and each of us put in our best effort to analyze the question we picked. I especially valued the fact that everyone on our team had the chance to share their contributions, and we carefully considered each solution. When there were reservations, we took a step back to reassess our ideas.

On presentation day, I felt so proud of my team because our humility shone through. It was all about the task and our shared goal. One surprising experience during the presentation was when Chris mentioned we were sharing the loaf of bread among 12 people, rather than the 9 people we had initially discussed. Instead of interrupting, I was eager to see how we could tackle the problem with this new figure. In the end, I realized it was an error, but I recognized that such mistakes could reveal important insights. Not every figure will lead to the desired arithmetic progression needed to solve the practical problem we were given. Twelve (12) may have worked if the question had been patterned in another way.

I believe errors can serve as valuable opportunities to clarify our intentions when explaining a topic, helping students think reflectively when faced with challenges. I remember when I taught in Nigeria, I would encourage my students to view their mistakes as learning experiences. By diligently uncovering the source of their errors, they could deepen their understanding of the subject matter. Both failure and success are essential steps toward achieving greater success.

Another insight I got is that a shift from 9 participants to 12 altered the numerical pattern and changed the arithmetic progression, reminding me that small changes in data can significantly affect mathematical reasoning. However, I just want to give a big shout-out to my partners in progress on the assignment because overall, our working together gave room for communication, flexibility, and reflective thinking.

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