Using the graphic display calculator to motivate derivative formulas
Treść / Zawartość
Nowadays using graphic display calculators (GDCs) is becoming more and more popular in learning and teaching mathematics. One of the main usages of this device is to obtain a graph of almost all functions with one variable. If we have a graph of a function we can observe some special properties of the function. Graphic display calculators (even without computer algebra system (CAS)) can do even more - calculate derivative at any point and draw graphs of derivatives of the first and the second degree, find other properties of functions like: minimum, maximum, x- and y-intercepts and so on. Traditionally students are taught differentiation while using limits of functions. Hence the natural question is whether there exists another method of teaching about differentiation? The aim of this paper is to analyze attempts of teaching some aspects of differentiation with using GDC.