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Math, Critical Thinking, and thee

One complaint that I often hear from other college students is the uselessness of Calculus in pertinence to their field. Indeed, many people who aren’t engaged in specific scientific fields often never use anything more but basic math skills which are learned in high school. But what many students neglect is the critical thinking part of learning math.

In a paper for the 2009 International Conference on Engineering Education, professors from the University of Technology in Malaysia wrote:

Forbes [18] in describing the breadth of failure in the American education system – in terms of academic achievement, in terms of social equity, and in terms of graduating citizens with the ability to think critically and act ethically mentioned significant related instances due to this failure in [critical thinking (CT)].

Among other striking examples which Forbes mentioned is one stated here accordingly: “Within the past thirty years, the US has initiated and heavily financed two military invasions in foreign countries. Both wars resulted in horrendous losses in terms of human life and suffering, and scarring, long term environmental damage. Historical review has not been positive about the need for, or the results of the earlier war. It is doubtful that historical review will be any more positive about the most recent wars”(p. 9).

Forbes [18] further remarked that the one common denominator to all of these noted incidents is that most of the people involved in these actions and decisions are products of the American education system. This system was a part of this failure in CT and ethical leadership (ibid). These are just some examples which could exist anywhere else where CT has failed to play part of the contributing factor in educating citizens to be responsible and accountable for their actions.

It doesn’t matter if you use Calculus on a daily basis or not; what matters is your ability to analyze complex situations, come up with solutions and consequences, and then choosing the best (most efficient, ethical, etc.) course of action. Critical thinking is perhaps the most important skill imparted to students by learning topics like math.

You can read the whole paper here (PDF).

1 year ago

November 18, 2010
photo Behind every student, there are dozens of teachers that are a little piece of that student. One of the teachers that stands out in my past is Mark Mikasa of Gabrielino High School, to whom I owe my enthusiasm for learning math to. I first met Mark in my sophomore year of high school, where he taught me and 30-odd other students Algebra 2.
We didn’t get along very well at first. I would always sleep in his class while he lectured, which he responded to by spraying me with a water bottle used for the very purpose of waking up students. I started wearing hoodies to class so that he couldn’t wake me up anymore, even with repeated water sprays. It was a teacher versus student escalation that seemed to be heading in a very bad direction…
But I started warming up to him as the semester continued. Mark had a Herculean sense of humor that seemed to be able to make anyone smile. Not just little smiles; they were always a person’s biggest and brightest smiles. This made for a very entertaining (and effective) way for him to teach mathematics. Whenever we learned a new concept, Mark would begin an example by saying “Let’s jump right in!” in his most enthusiastic voice.
Mark’s enthusiasm for math didn’t rub off on me at first. It took me the rest of high school and my first two years of community college to finally become the excited math student that I am today. Even so, I don’t fall in love with every math subject that I encounter; I’m currently taking differential equations and not enjoying it as much as I would like to. But when I get to a tough problem or a difficult concept, I hear Mark’s voice saying to me, “Let’s jump right in!”, and I can approach the material with a smile.
So thank you Mr. Mikasa! You’ve truly left me and hundreds of other students with a greater appreciation of what it means to be a student!
Photo: Mark and his son in his classroom (the same one I was taught in!) at GHS.

Behind every student, there are dozens of teachers that are a little piece of that student. One of the teachers that stands out in my past is Mark Mikasa of Gabrielino High School, to whom I owe my enthusiasm for learning math to. I first met Mark in my sophomore year of high school, where he taught me and 30-odd other students Algebra 2.

We didn’t get along very well at first. I would always sleep in his class while he lectured, which he responded to by spraying me with a water bottle used for the very purpose of waking up students. I started wearing hoodies to class so that he couldn’t wake me up anymore, even with repeated water sprays. It was a teacher versus student escalation that seemed to be heading in a very bad direction…

But I started warming up to him as the semester continued. Mark had a Herculean sense of humor that seemed to be able to make anyone smile. Not just little smiles; they were always a person’s biggest and brightest smiles. This made for a very entertaining (and effective) way for him to teach mathematics. Whenever we learned a new concept, Mark would begin an example by saying “Let’s jump right in!” in his most enthusiastic voice.

Mark’s enthusiasm for math didn’t rub off on me at first. It took me the rest of high school and my first two years of community college to finally become the excited math student that I am today. Even so, I don’t fall in love with every math subject that I encounter; I’m currently taking differential equations and not enjoying it as much as I would like to. But when I get to a tough problem or a difficult concept, I hear Mark’s voice saying to me, “Let’s jump right in!”, and I can approach the material with a smile.

So thank you Mr. Mikasa! You’ve truly left me and hundreds of other students with a greater appreciation of what it means to be a student!

Photo: Mark and his son in his classroom (the same one I was taught in!) at GHS.

1 year ago

June 11, 2010
quote
Witness, for instance, the difficulty with which even the well-mannered among us stifle the urge to say “I told you so.” The brilliance of this phrase (or its odiousness, depending on whether you are the one saying it or hearing it) derives from its admirably compact way of pointing out that 1) I was right; 2) you were wrong; and 3) I was right that you were wrong.

1 year ago

June 10, 2010
reblogged via nostrich
text

The battle rages on

I managed to finish the first 5-week general chemistry course (Chemistry 200) and I’m currently in the second week of the second course (Chemistry 201). So far, things aren’t looking too hot for me; I still haven’t recovered fully from the intensity of the first class, which was ridiculous compared to the current course despite it being in the same series.

What really bothered me was that Chem 200 stipulated the completion of thirteen experiments, all with formal reports; this, in my opinion, is stupid. Why would you require two experiments and formal lab reports per week on top of trying to understand general chemistry in a period of five weeks? The reports ended up becoming a liability and ultimately the lack of time spent studying concepts for the lecture ended up affecting my grade, and even worse, caused me to compromise the quality of my work for the laboratory. I ended up writing garbage that would pass as analysis of the experiment instead of something substantial. I believe that learning should never become a liability. What made the situation worse was the extremely subjective grading of the reports and the poorly written laboratory manual that directed the experiments.

As for Chem 201, there are only nine experiments, only two of which require formal reports. Not only that, but the laboratory manual is very well written, concise, and even includes diagrams and illustrations. Why is there such a lack of continuity and consistency between these two classes, and more importantly, why hasn’t this problem been addressed by the chemistry department of community college yet?