The internet is a fabulous tool for anyone studying math, though it can also be overwhelming at the same time.
For any given topic in math, there is an infinite array of resources that the internet offers. However, sometimes it can be difficult to figure out which resource to utilize. This can impact your productivity, especially if you’re a student on a tight schedule.
In this article, we discuss parabola calculators, one popular resource online that many math students use. First, we give an overview of parabola calculators, emphasizing their benefits and drawbacks. Then, we offer some tips for anyone trying to choose a parabola calculator. Finally, we end with our thoughts on the future of parabola calculators.
AN OVERVIEW OF PARABOLA CALCULATORS
First and foremost, a parabola is a plane-curve that appears U-shaped and is mirror-symmetrical. The parabola shape has many applications in physics, engineering, and the sciences, and is studied comprehensively in math.
A parabola calculator is any calculator that allows you to input information related to a parabola and receive various output information.
These are usually available online, though technically any calculator that gives information concerning a parabola could be considered a parabola calculator. Many advanced graphing calculators have applications related to parabolas, allowing them to transform into a parabola calculator while also retaining other functionality.
Online parabola calculators don’t necessarily have limited functionality. Some online parabola calculators are certainly simple while others are much more dynamic.
The most basic online parabola calculators will allow you to input a parabola equation in standard form and will offer you the x and y coordinates of the vertex, focus and directrix. Some basic parabola calculators will also provide the parabola equation in vertex form.
More advanced parabola calculators provide this information while also providing a graph of the parabola. Among advanced parabola calculators, some offer simple graphs while others offer graphs with more enhanced graphics.
THE BENEFITS OF A PARABOLA CALCULATOR
Parabola calculators expedite calculations related to parabolas, allowing us to study these shapes more efficiently. Parabola calculators can be especially useful for math students who are learning about parabolas for the first time. Many students like to use advanced parabola calculators to also study how certain equations look when graphed.
By comparing the graphs of various functions, students are able to understand how changing parts of an equation influences the graph of that equation. This visual understanding can be corroborated by information related to the parabola vertex, focus, and directrix.
Many students like to learn visually in this way, thus making advanced parabola calculators practically a necessity when first learning about parabolas. Many beginning math students comment that the subject is so abstract and can be difficult to ground in real-world applications.
Being able to visualize a graph of an equation can help students struggling with the abstract nature of math, making advanced parabola calculators invaluable. Basic parabola calculators can also be helpful for certain homework assignments when quickly determining parabolic values is desired.
For example, some students in more applied fields have to compute large amounts of data concerning differently sized parabolas. Many advanced parabola calculators would be inefficient at handling this task since they would graph the equation in addition to computing various values. This would slow down the online calculator, making your work less efficient.
A basic parabola calculator, however, would allow you to quickly change input values to determine crucial outputs. Some of the best parabola calculators will even allow you to select which values you’re interested in computing, making your job even easier.
THE DRAWBACKS OF A PARABOLA CALCULATOR
The main drawback of a parabola calculator is the same drawback that plagues any other calculator. Relying on these devices can actually detract from learning, as our technology performs the computations that we could have performed by hand.
Not every parabolic computation can be performed by hand, of course. Certain complicated functions make determining coordinates and values difficult if not impossible. In these cases, an online parabola calculator is ideal.
Yet, in most situations, students are seeking a parabola calculator to help with a homework assignment or understanding some mathematical concept. Many of the equations that students deal with in these situations are conducive to performing calculations by hand.
However, many students get lazy over time and forget to sharpen their skills, leading to poor performance come test time. This is especially the case when the test requires that students show their work, as many students have forgotten the core concepts due to their reliance on an online calculator.
Without a parabola calculator, students would have to perform all their calculations manually, which would keep their skills fresh. Not being dependent on a parabola calculator is even more important if you plan on entering some career that deals with numbers.
In these cases, you want to keep the “math” part of your brain active and strengthened so you can perform optimally at your job. Even if your job doesn’t entail work related to parabolas, it might still involve analytical work that uses a similar part of your brain.
3 TIPS FOR CHOOSING THE BEST PARABOLA CALCULATOR
In this section, we discuss 3 tips that readers can remember when choosing a parabola calculator online.
Directly Set Your Intentions Before Beginning
We recommend beginning your search by clearly setting your intentions. This will ground you before you enter the chaotic whirlpool that is the internet. Additionally, it will also force you to consider why you need an online calculator in the first place, which could help narrow your selection.
A good way to do this is to close your eyes, focus on your breathing, and repeat your intentions back to yourself. You can do this silently, out loud, or you can even write them down. Some people even draw their intentions.
Regardless, the point is to take several moments to consciously acknowledge what you are seeking and why you are seeking it.
Many students use a parabola calculator simply because their teacher said it was allowed. Before automatically following these instructions, you should reflect on how necessary a parabola calculator is. Some students abuse this permission in order to avoid mastering some math concept they are shaky on. Alternatively, some students simply want an excuse to access the rabbit hole of the internet.
Whatever the case may be, make sure your intentions are genuine.
CHOOSE AN ADVANCED PARABOLA CALCULATOR
If you’ve determined that using a parabola calculator is ideal, then we recommend using a more advanced parabola calculator. These tools offer you the ability to graph your equation, allowing you to supplement your computations with a visual aid.
Many beginner math students avoid advanced parabola calculators in favor of basic calculators that are quicker. Yet, even though they finish their homework faster, these students often perform poorly on the relevant test.
This is because the test requires them to describe the visual nature of each parabolic function they encounter. Since they never deepened their understanding of this component of parabolas, these students inevitably suffer.
BOOKMARK THE PARABOLA CALCULATOR YOU USE
There are many parabola calculators to choose from online. Finding the one that you like the best can be difficult, especially when looking up “parabola calculator” seems so many different results.
When you do find a parabola calculator the meets your preferences, make sure you bookmark it. This will make it only a click away the next time you need it. Also, it will prevent you from having to scroll through endless search results simply because you forgot the URL.
OUR FINAL THOUGHTS ON THE FUTURE OF PARABOLA CALCULATORS
We think parabola calculators are indispensable tools for modern students. This applies not only to math students but to students in other disciplines. Parabolic shapes are prevalent in many fields, making their study practical in addition to abstract.
We think advanced parabola calculators will help neutralize the abstract nature of studying parabolas. This is because they allow you to see a graph of the parabola you are considering. Sometimes, they even allow you to compare multiple graphs and compute additional values.
We think that online parabola calculators will evolve as computers evolve in the future. We can imagine a future in which math students use virtual reality headsets in order to access a parabola calculator.
The parabolic application on these headsets would offer a fully immersive experience, allowing users to not only graph parabolic equations but climb them. Future students will be able to use parabola calculators to interact with mathematical avatars, allowing for a more personal kind of learning. Why learn from a teacher when you can learn from a number or equation directly?
While this might seem unrealistic now, we think this future is just around the corner. It’s heavily contingent upon the development of virtual reality headsets, which would change the educational landscape significantly.
We imagine the future of education as entailing an embrace of these cutting-edge technologies, making the learning process more intimate and life-sized than ever before.