Thursday, August 29, 2013

Forget Algebra, My Life Feels Like Solving Calculus Problems


How long will it take for two cars traveling at 75-80mph from Utah to arrive in Minneapolis, Minnesota a distance of about 1300 miles?  If our cars leave on Friday morning and travel two days, and my husband flies by plane on Saturday (due to being unable to travel by car as he just had back surgery) at what time will we both arrive into Minneapolis?  These are simple distance, rate, time questions which we just experienced as we moved our family (with the help of my dad as a 2nd driver) to our new destination.

 As a former aide who has worked with many Algebra students, I have repeatedly listened to students question, “Why do we have to learn Algebra?  We are never going to use this.”  A few times in response I delve into my life analogy comparing Algebra to the real world.  Algebra is all about learning the steps to solve the problems.  The more students learn the steps the better they can apply these teachings to more difficult problems. Algebra is constantly building upon itself.  The basic understanding of the foundation of addition, subtraction, multiplication, and division, fractions, and decimals increases the likelihood that it will be easier to understand the steps. 

As I would try to explain how Algebra is like life because in life there will be numerous problems to solve and there is no easy way to get from the beginning of a problem to the solution without understanding the steps and then working through the steps until the problem is resolved and a solution is found.  I don’t know that any of the students who I shared this philosophy with appreciated my comments.  They didn’t like Algebra, sometimes a strong foundation of basic math principles was lacking, and they didn’t want to work through the steps to get the correct answer.  They hoped for an easy way to get to the answer and they didn’t always care whether they got to the correct answer.

Sometimes, I wish my life had the simple Algebra word problems of time, distance, and rate, but my life feels more like the Calculus and Linear Algebra problems I did in college.  Occasionally, those problems would require an entire page to work through the problems and even then I would end up with the incorrect answer.  That meant I would be tossing that paper and starting the problem over from the beginning!

For the problem listed above about the time required to travel from Utah to Minnesota, Point A actually begin in California, Point B was supposed to be New Jersey, but when the New Jersey job turned to a grinding halt, I crumbled up the sheet and my husband and I began to solve the problem again.  A month later the correct steps were determined and we began solving the problem of moving to Minnesota.  Even then the problem wasn’t quickly solved, for we first planned to move to one city, but then for various reasons pulled out of buying that house and began a new problem until we found the right answer – to build a home with the help of my husband’s friend and coworker in the small town of Chaska, Minnesota on a beautiful and peaceful piece of land.

As a math student, I loved getting to the right answer and would diligently work until I discovered the correct answer.  Sometimes, it would engulf all of my attention  -- for the simple reason of just wanting to get from Point A to Point B, from the beginning to the end, from the problem to the solution with the absolute correct answer.  As a student of life, I love getting to the right answer and I have worked diligently to discover the correct answer with each problem I have faced in life.  There is no giving up and tossing in the towel and crumbling up the paper refusing to try again because there is no running away from life, problems do exist and always will, but solutions can be found.  In my case, I rarely find solutions the easy way, it has taken a lot of hard work, perseverance, a pile of crumpled steps, but oh how happy I am when I get to the right answer! Let the new adventure begin…

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