Daniel Machado
I am a Mathematics Teacher, a graduate of the Faculty of Exact, Chemical, and Natural Sciences at the National University of Misiones (UNAM), in Argentina.
Throughout my career, I’ve realized something quite simple yet important: mathematics is often taught like a recipe—use this formula, plug in the values, and write down the result. While that might be enough to pass an exam, it doesn’t, in my view, constitute true mathematical learning.
Applying formulas without context just to arrive at a result is something we can leave to calculators. I believe that mathematics is, above all, about understanding what we are doing.
Are there formulas? Yes.
Can they be used? Of course.
But I believe that, at least once in your life, you should ask yourself why they work, where they come from, and what they actually mean—even going so far as to prove them, even if you don’t do so every single day.
In the field of analytic geometry, one topic that has always caught my interest is conic sections. At first glance, they seem simple—just curves drawn on a plane—but as you delve deeper (especially when rotations of axes come into play), the subject can become quite complex. That is precisely why I felt it was an excellent area for learning how to reason through problems, rather than simply applying formulas.
Why "Exponty"?
The name of this site emerged from a blend of ideas: on one hand, the word "point," and on the other, the variables x and y—both of which are central to analytic geometry. I then added an e at the beginning to make the name easier to pronounce.
Other projects
In addition to this site, I develop other educational projects covering various areas of mathematics.
- Flamath: This was the first website I created. It focuses primarily on topics such as logic, functions, and sets, with an approach designed to build a solid foundation and explore fundamental concepts that appear repeatedly throughout mathematics.
- Dexmath: This project is dedicated to mathematical analysis. Currently, the main focus is on numerical sequences and series.
- RigelUp: A project dedicated to mathematical tools for secondary school and university students.
The goal is always the same: to explain topics calmly, using clear examples, incorporating graphs when necessary, and providing solved exercises—ensuring that everything makes sense and adds value.
References
The content I write is primarily based on the bibliography I used during my university studies, along with other academic reference materials. These books served—and continue to serve—as a fundamental guide for developing the topics, approaches, and examples found in my articles.
My practical experience is built day by day through research, simplifying complex subjects, and teaching real students. Therefore, while I strive to ensure my content is accurate and comprehensive, it is possible that I may occasionally make a mistake or overlook a detail.
For this very reason, my articles are not "final" or static; I constantly review, correct, and update them. If you spot an error, identify an area for improvement, or simply wish to contribute, your help is more than welcome. You can leave a comment on the relevant article or contact me here.
How to cite an article from this site
If you would like to cite content from this site, you will find the exact reference to use—in APA, MLA, Chicago, and ISO formats—at the end of each article.