Skip to main content

An article published last Fall titled "Is Algebra Necessary?" sparked a lively debate on the blogs. One of my favorite "yes" responses, "Make Us Do...

Those who know while in high school how the rest of their lives will develop are possibly fortunate. There may be some comfort in knowing exactly what one will be doing ten or twenty years down the road. For most of us however, we are not so gifted with certainty with regard to our futures. We enroll in colleges and universities with the expectation and the hope of being inspired by some academic discipline. Then we will be able to begin to shape our future accordingly. And if we do not know what the future holds, then we do not know what types of knowledge we will or will not require during the course of the next 50 years. 


The question asked routinely among high school students -- why do I have to take algebra -- has been around for many decades, if not longer. There are two main reasons why it is important for students to study algebra. The first is the uncertainty regarding our future. Many students who attend college do not know what they want to study during their freshman and their sophomore years. Once they commit to a certain direction, they begin to realize that subjects they found dull or unnecessary in high school, or even earlier in college, are suddenly essential for advancement in their chosen field. Many, myself included, find that a stronger foundation in mathematics would have made their lives a lot easier -- a realization that could continue to haunt them for the rest of their lives.


The second major reason why studying algebra is important is the practical use it provides in everyday life. Unless one plans to be dependent upon professional accountants and upon the honesty of those with whom one comes into contact in financial contexts on a daily basis, it seriously helps to know math, including algebra. Knowledge of algebra is key to understanding many financial matters, including calculating the costs of using credit cards -- a situation in which most people find themselves but in which few are capable of making informed decisions. There are many more practical applications of algebra in our daily lives, including apportioning elements for maximum effect in a project (e.g., determining the quantity of ingredients needed for a volume greater or less than that called-for in a published cook book). Suffice to say, algebraic equations are used by most individuals more often then they realize. The more one understands algebra, then, the more comfortable one will be navigating everyday life.

Comments

Popular posts from this blog

Is there a word/phrase for "unperformant"?

As a software engineer, I need to sometimes describe a piece of code as something that lacks performance or was not written with performance in mind. Example: This kind of coding style leads to unmaintainable and unperformant code. Based on my Google searches, this isn't a real word. What is the correct way to describe this? EDIT My usage of "performance" here is in regard to speed and efficiency. For example, the better the performance of code the faster the application runs. My question and example target the negative definition, which is in reference to preventing inefficient coding practices. Answer This kind of coding style leads to unmaintainable and unperformant code. In my opinion, reads more easily as: This coding style leads to unmaintainable and poorly performing code. The key to well-written documentation and reports lies in ease of understanding. Adding poorly understood words such as performant decreases that ease. In addressing the use of such a poorly ...

A man has a garden measuring 84 meters by 56 meters. He divides it into the minimum number of square plots. What is the length of the square plots?

We wish to divide this man's garden into the minimum number of square plots possible. A square has all four sides with the same length.Our garden is a rectangle, so the answer is clearly not 1 square plot. If we choose the wrong length for our squares, we may end up with missing holes or we may not be able to fit our squares inside the garden. So we have 84 meters in one direction and 56 meters in the other direction. When we start dividing the garden in square plots, we are "filling" those lengths in their respective directions. At each direction, there must be an integer number of squares (otherwise, we get holes or we leave the garden), so that all the square plots fill up the garden nicely. Thus, our job here is to find the greatest common divisor of 84 and 56. For this, we prime factor both of them: `56 = 2*2*2*7` `84 = 2*2*3*7` We can see that the prime factors and multiplicities in common are `2*2*7 = 28` . This is the desired length of the square plots. If you wi...

What warning does Chuchundra issue to Rikki?

Chuchundra, the sniveling, fearful muskrat who creeps around walls because he is too terrified to go into the center of a room, meets Rikki in the middle of the night. He insults Rikki by begging him not to kill him. He then insults him by suggesting that Nag might mistake Chuchundra for Rikki. He says, "Those who kill snakes get killed by snakes."  He issues this warning to Rikki not to help keep Rikki safe but as a way of explaining why Rikki's presence gives him, Chuchundra, more reason to fear.  Chuchundra starts to tell Rikki what Chua the rat told him--but breaks it off when he realizes he might be overheard by Nag. He says, "Nag is everywhere, Rikki-Tikki." Rikki threatens to bite Chuchundra to get him to talk. Even then, Chuchundra won't overtly reveal any information. But he does say, "Can't you hear, Rikki-Tikki?" This is enough of a clue for the clever mongoose. He listens carefully and can just make out the "faintest scratch-s...