Maths Discussion Thoughts

What is the role of intuition in mathematics? How about imagination?

I believe that although mathematical knowledge must be proven with rigorous proof, initial ideas are sparked by intuition and imagination.  A mathematician might choose to use certain proofs in order to prove their conjecture based on their own intuition, and then use logical steps to see if it would work.

How important is logic(al reasoning) within Mathematical knowledge?

I think that logical reasoning is required within mathematical knowledge because in order for a conjecture to be believed and be ‘true’ it must be proved with rigour and clear steps to show how one came to that conclusion.

How connected is Maths to the real world?

Although maths might be more involved in topics such as the natural sciences, I believe that it can be used as a measure for other values. Despite that, maths might not always be effective. For example, numerical values have started becoming more popular to measure one’s attractiveness. Many might say that beauty is subjective, however we must admit that there are some people or animals that we would consider “beautiful,” or “cute,” and therefore certain values could be set to determine who is more attractive compared to someone else.

 

James Wright Poem

Lying in a Hammock at William Duffy’s Farm In Pine Island, Minnesota BY JAMES WRIGHT

I think that the last line of the poem extended our knowledge and interpretations, rather than bringing the poem together. The last line was surprising, although once I read it, I was able to notice other small details in the poem that supported the conclusion. For example, in the first line of the poem, “Over my head, I see the bronze butterfly,” I noticed that the pronoun used was “the,” instead of “a,” which suggests that that the poet was more used to the setting than we originally thought, and that his observations were not necessarily random and that the last line proved that he had in fact “wasted [his] life.”

Jesus Hopped the A-Train

I think that this play is a dark comedy drama, and I believe that this is because within each conversation between the several main characters, the topics of justice and faith are brought up often, yet the language is less sophisticated. However, I believe that we were laughing because of what the characters were saying, especially the inmates, but more importantly why they were reacting in such ways. I found that whilst reading this play I grew to like both Lucius and Angel despite the fact that they were both murderers. I think this is because the author initially introduces Lucius without mentioning why he is in custody, although later reveals why. The depiction of both characters is perhaps different to what I was expecting, considering their background, and is probably why I was more concentrated on their disagreements and petty threats rather than immediately disregarding them based on their crimes. Lastly, the more obvious reason would most likely be the vast use of vulgar language.

AMK Minds Progress Reflection 2

LO1 – Awareness

What previous experiences have I had with an activity like this?

Throughout the course of my time at UWC, I have partaken in several services, working with local people in Singapore. However, I have only worked with either small children or the elderly. This is the first time that I have worked with those that have mental disabilities.

What are my strengths and what would I like to improve?

Although I was slightly uncomfortable at the start as I had never had one on one experience with this type of group, I think that as the sessions have gone on, I have become more familiar with the style of interaction between them and us students and the best possible ways that we can entertain them and keep them active. I think that I have become stronger in areas where I can take initiative in the planning of the activities as I am able to reflect on previous sessions in order to decide whether something worked or didn’t. This enabled more effective and productive sessions afterwards. Something that I would like to improve on is still feeling almost 100% comfortable around the client as sometimes I have found myself afraid to upset them or anger them, especially more those that are more excited and energetic. I have also been frustrated at times which is something that I would like to control as I need to remember that the people cannot perform the same activities as us with the same speed and hence I must approach with more understanding and patience.

LO3 –  Initiative

What activities did we plan, and how did they progress?

For the first couple of sessions we used information from the previous year and advice from the organisation’s leaders, in order to plan around three different activities. We had a parachute activity, a simple throwing and catching activity, and a small set of bowling pins. The advice we got was to make sure that the group isn’t sitting down too much as they need to be active, and also make it slightly challenging so that we could improve their skills. As the weeks progressed, we added and removed different activities in order to not only ensure that they were not getting bored, but also to enhance all their different movements and instil some muscle memory. The client leaders also showed us some activities that we could try, which helped a lot and also allowed us to use some more creative activities.

What difficulties did we face in executing our plan? Why?

For a few sessions we had a different set of people so it meant that we had to keep on having an introductory section at the start which left little time for activities. We also found it hard to come up with activities that kept the clients active and engaged throughout, especially those who were very excited, as it was hard to keep everyone together and focused. At the start, it took us a while to delegate different roles to everyone, however as the weeks went on, we were all familiar with what we each of us had to do in order to run an efficient session. Since we are a group of students from different grades, some which have not worked together ever, it was initially difficult to communicate effectively.

How did we overcome these challenges?

The chairs delegated roles to everyone and set up a means of communication in order to make sure that we were fully prepared before each session. We also spent a couple of sessions at the start to plan and express our goals for this year. Furthermore, a few people in our group communicated directly to the organisers every week to fill in on the progress and to receive feedback on how we could improve as a group and our interactions to the clients.