Exploring Creativity Through Calculator Programming
I taught myself to program with a variety of TI calculators, beginning with different versions of the TI series. While this was a significant learning experience, my proudest moments come from creatively outsmarting my teachers by using my calculators in innovative ways.
Enhancing Homework with Calculator Programs
One of my major breakthroughs was using a calculator to solve complex problems that required repetitive calculations. For instance, I could solve systems of equations and trigonometric problems like the Law of Sines and Cosines in my head. However, to avoid getting into trouble or to ensure I was showing my work, I developed programs that would display the steps, from solving systems of equations to applying trigonometric formulas.
Advanced Calculations and Problem Solving
Another significant milestone was my ability to calculate the eigenvalues of a 4x4 matrix. This required managing 26 variables, which was quite an undertaking. Additionally, I programmed a partial fraction decomposition function for the TI-84, both of which can be found online for anyone interested in similar challenges.
Programmable Calculators and Their Impact
During my high school days, we learned how to program the Quadratic Equation into our TI graphics calculators. I extended this by programming other equations like distance and midpoint, even though I was capable of solving these manually. My next step was to use an HP42s calculator on my phone, which is a more advanced version, allowing me to design programs for developing pressure sensor elements, blending inks, and managing insulin dosages.
Timeless Creativity
One of my early programs involved finding the roots of a second-degree polynomial. This was a creative piece of code written on a TI calculator, highlighting the power of basic programming. Today, with more advanced calculators and computers, such tasks are much more straightforward. This reflects how technology has evolved over time, yet the core essence of using technology to solve complex problems remains constant.
Conclusion: Calculators have been a valuable tool for problem-solving and creativity. By leveraging the capabilities of these devices, individuals can enhance their understanding of mathematical concepts and develop innovative solutions.